Technical Field
[0001]
5 The present invention relates to a panel, in more detail, a panel which is formed in
an overall plate shape, and which has, at least on one of the surfaces thereof, a plurality of
protruding protrusions.
Priority is claimed on Japanese Patent Application No. 2010-004858, filed
January 13, 2010, the contents of which are incorporated herein by reference.
10
Background Art
[0002]
Heretofore, as an interior panel to be used for transport machinery such as rolling
stock, automobiles, aircraft, or ships, and for building structures and the like, there has
15 been proposed a light weight type highly rigid panel having protrusions and recesses
provided in a zigzag pattern (for example, refer to Patent Document 1). This panel
disclosed in Patent Document I is such that protrusions and recesses are formed side by
side in two directions, namely the vertical direction and horizontal direction of a flat plate
panel, and it is formed in a shape such that flat sections other than the protrusions and
20 recesses are not formed linearly. Moreover, for a heat insulator to be used for heat
insulation in a catalytic converter or a muffler of an automobile, there has been proposed a
configuration in which protrusions are arranged side by side in two directions within a
panel surface (for example, refer to Patent Document 2). In these panels, there are formed
protrusions and recesses or just protrusions, arranged side by side in two directions within
25 the panel surface, and thereby a higher level of rigidity is achieved for the same plate
thickness compared to a flat plate with no protrusions or recesses formed thereon, or to a
corrugated plate with protrusions and recesses formed only in one direction thereon.
Related Art Documents
30 Patent Documents
[0003]
[Patent Document I] Japanese Patent Publication No. 2960402
2
[Patent Document 2] Japanese Unexamined Patent Application, First Publication
No. 2008180125
Disclosure of the Invention
5 Problems to be Solved by the Invention
[0004]
Incidentally, on a conventional panel, protrusions and recesses are provided in a
zigzag pattern so that flat sections are not formed linearly, while the flat sections are
continuously formed so as to surround these protrusions and recesses. Consequently there
10 is a problem in that these continuous flat sections influence the bending rigidity and
torsional rigidity of the entire panel, so that the level of rigidity of the panel cannot be
sufficiently increased and the weight thereof cannot be sufficiently reduced.
[0005]
An object of the present invention is to provide a panel which has a simple
15 structure and is capable of reliably increasing the level of rigidity thereof and reducing the
weight thereof.
Means for Solving the Problems
[0006]
20 In order to solve the above problem and achieve the relevant object, the present
invention employs the following measures.
___That is to say,
(1) A panel according to an aspect of the present invention includes, among protrusions
protruding from a predetermined reference surface, flat sections being flush with the
°25 reference surface, and recesses being recessed from the reference surface, the protrusions,
and the flat sections or the recesses, wherein; when the panel includes the flat sections, the
entire periphery of each of the protrusions is surrounded by the flat sections, and the entire
periphery of each of the flat sections is surrounded by the protrusions, while when the
panel includes the recesses, the entire periphery of each of the protrusions is surrounded by
30 the recesses, and the entire periphery of each of the recesses is surrounded by the
protrusions.
3.
(2) The panel according to (1) above is preferably such that when viewed from the front,
the protrusions , and the flat sections or the recesses are alternately arranged along a
widthwise direction and a lengthwise direction orthogonal to this widthwise direction.
(3) The panel according to (1) above is preferably such that when viewed from the front,
5 each of the protrusions has a hexagonal shape, and each of the flat sections has a triangular
shape.
(4) The panel according to (1) above is preferably such that when viewed from the front,
each of the protrusions has a hexagonal shape, and each of the recesses has a triangular
shape.
10 (5) The panel according to (1) above is preferably such that when viewed from the front,
the protrusions and the flat sections both have a quadrangular shape.
(6) The panel according to (1) above is preferably such that when viewed from the front,
the protrusions and the recesses both have a quadrangular shape.
(7) The panel according to any one of (3) through (6) above is preferably such that each
15 comer section of the respective adjacent protrusions is connected via a bridge having a flat
top upper surface.
(8) The panel according to (1) above is preferably such that: when it includes the
protrusions and the recesses , a protrusion side inclined surface is formed on a peripheral
portion of the protrusions , and a recess side inclined surface is formed on a peripheral
20 portion of the recesses ; when the protrusion side inclined surface and the recess side
inclined surface are viewed on a cross -section perpendicular to the reference surface, these
protrusion side inclined surface and recess side inclined surfaceare linearly and
continuously connected ; and an inclination angle of the protrusion side inclined surface
and an inclination angle of the recess side inclined surface are the same.
25 (9) The panel according to (1) above is preferably such that when it includes the
protrusions and the recesses, planar shapes and planar dimensions of the protrusions and
the recesses are the same.
(10) The panel according to (1) above is preferably such that when it includes the
protrusions and the recesses, a protruding dimension of the protrusions and a recessing
30 dimension of the recesses respectively in the direction perpendicular to the reference
surface are the same.
4
(11) The panel according to (1) above is preferably such that a frame section is provided
along a periphery of a face material, which includes all of the protrusions, and the flat
sections or the recesses.
5 Effect of the Invention
[0007]
According to the panel of (1) above, the protrusions, and the flat sections or the
recesses are not formed in a planarly continuous manner. As a result, a three dimensional
effect of the panel is obtained in the plate thickness direction, and the bending rigidity and
10 the torsional rigidity of the panel can be improved. Therefore, the level of the rigidity can
be improved dramatically, while weight reduction can be realized due to thickness
reduction.
[0008]
Furthermore, according to the panel of (1) above, when the flat sections are
15 provided, since the entire periphery of each flat section is surrounded by the protrusions,
the flat sections are not continuously formed, and the protrusions are not continuously
formed. Moreover, when the recesses are provided, since the entire periphery of each
recess is surrounded by the protrusions, the recesses are not continuously formed, and the
protrusions are not continuously formed. As a result, the protrusions, and the flat sections
20 or the recesses geometrically act with respect to bending or torsion of the entire panel, and
the level of cross-sectional performance is increased due to the three dimensional effect.
Accordingly, it is possible to improve the bending rigidity and the torsional rigidity.
Therefore, the level of rigidity can be dramatically improved for a flat plate or a corrugated
plate compared to conventional panels. As a result, the thickness of the entire panel can be
`25 reduced and the weight thereof can also be reduced.
The predetermined reference surface may be a flat surface, a cylindrical surface, a
spherical surface, or any other three-dimensional curved surface. Moreover, the panel may
be formed from a flat plate with a predetermined plate thickness through appropriate work
processing such as press working and bending, and it may be manufactured integrally with
30 protrusions and flat sections.
[0009]
According to the panel of (2) above, since the protrusions, and the flat sections or
the recesses are respectively arranged alternately, when a force is applied on the panel, the
5.
force can be distributed into two orthogonal directions (widthwise direction and
lengthwise direction). As a result, it is possible to further increase the level of rigidity with
the entire panel resisting bending and torsion that act on the panel.
[0010]
5 According to the panel of either one of (3) and (4) above, it is possible to increase
the level of panel rigidity with a good balance in the directions of the opposite edges and
opposite corners of the hexagonal shape.
According to the panel of either one of (5) and (6) above, it is possible to increase
the level of panel rigidity with a good balance in the directions of the opposite edges and
10 opposite corners of the quadrangular shape.
According to the panel of (7) above, since a bridge is formed between the corner
sections of the adjacent protrusions, when a force is applied to the panel, the force is
transmitted through this bridge. As a result, stress concentration can be mitigated
compared to those cases where adjacent protrusions are directly connected with each other.
15 [0011]
According to the panel of (8) above, since the inclination angle of the protrusion
side inclined surface is the same as that of the recess side inclined surface, and the
protrusion side inclined surface and the recess side inclined surface are formed
continuously, these continuous inclined surfaces function as rib members (reinforcing
20 members). As a result, the level of panel cross-sectional performance can be further
increased.
[0012]
According to the panel of (9) above, since the planar shapes and the planar
dimensions of the protrusions and the recesses are the same, a neutral axis is positioned at
`25 an intermediate part of the panel cross-section (in the vicinity of the reference surface). As
a result, a well balanced resistance can be provided with respect to both an external force
from the protruding side of the panel and an external force from the recessed side of the
panel.
[0013]
30 According to the panel of (10) above, the neutral axis is positioned in the vicinity
of the reference surface, which is at the intermediate part of the panel cross-section. As a
result, a well balanced resistance can be provided with respect to both an external force
from the protruding side of the panel and an external force from the recessed side of the
6.
panel. Furthermore, when forming the panel by means of press working or the like, by
matching the drawing dimensions of the protrusions and the recesses, it is possible to avoid
variation in plate thickness and disproportionately remaining stress associated with plastic
deformation. Therefore, it is possible to stabilize strength and deformation performance of
5 the panel.
[0014]
According to the panel of (11) above, by providing the frame section, it is possible
to suppress local deformation in the periphery of the panel and improve the level of panel
rigidity.
10
Brief Description of the Drawings
[0015]
'FIG. 1 is a perspective view showing a panel according to a first embodiment of
the present invention.
15 FIG. 2 is a perspective view showing a panel according to a second embodiment
of the present invention.
FIG. 3 is a perspective view showing a panel according to a third embodiment of
the present invention.
FIG. 4 is a perspective view showing a panel according to a fourth embodiment of
20 the present invention.
FIG. 5 is a perspective view showing a panel according to a fifth embodiment of
the present invention.
FIG. 6A is a cross-sectional view of the panel according to the first embodiment.
FIG. 6B is a cross-sectional view of the panel according to the second
-25 embodiment.
FIG. 6C is a cross-sectional view of the panel according to the third embodiment.
FIG. 6D is a cross-sectional view of the panel according to the fourth
embodiment.
FIG. 6E is a cross-sectional view of the panel according to the fifth embodiment.
30 FIG. 7A is a perspective view showing a conventional panel.
FIG. 7B is a perspective view showing a conventional panel.
FIG. 7C is a perspective view showing a conventional panel.
FIG. 8 is a perspective view showing another conventional panel.
7
FIG. 9A is a cross-sectional view showing an FEM analysis method according to
an example of the present invention.
FIG. 9B is a cross-sectional view showing an FEM analysis method according to
an example of the present invention.
5 FIG. 10A is an analysis model diagram viewed from the front of Comparative
Example 1 (No. 1) in the example.
FIG. IOB is an analysis model diagram viewed from the cross-section of
Comparative Example 1 (No. 1) in the example.
FIG. 11A is an analysis model diagram viewed from the front of Comparative
10 Example 2 (No. 2) in the example.
FIG. 11B is an analysis model diagram viewed from the cross-section of
Comparative Example 2 (No. 2) in the example.
FIG. 12A is an analysis model diagram viewed from the front of Comparative
Example 3 (No. 3) in the example.
15 FIG. 12B is an analysis model diagram viewed from the cross-section of
Comparative Example 3 (No. 3) in the example.
FIG. 13A is an analysis model diagram viewed from the front of Comparative
Example 4 (No. 4) in the example.
FIG. 13B is an analysis model diagram viewed from the cross-section of
20 Comparative Example 4 (No. 4) in the example.
FIG. 14A is an analysis model diagram viewed from the front of Example I (No.
5) in the example
FIG. 14B is an analysis model diagram viewed from the cross-section of Example
1 (No. 5) in the example.
25 `FIG. 15A is an analysis model diagram viewed from the front of Example 2 (No.
6) in the example.
FIG. 15B is an analysis model diagram viewed from the cross-section of Example
2 (No. 6) in the example.
FIG. 16A is an analysis model diagram viewed from the front of Example 3 (No.
30 7) in the example.
FIG. 16B is an analysis model diagram viewed from the cross-section of Example
3 (No. 7) in the example.
8
FIG. 17A is an analysis model diagram viewed from the front of Example 4 (No.
8) in the example. -
FIG. 17B is an analysis model diagram viewed from the cross-section of Example
4 (No. 8) in the example.
5 FIG. 18A is an analysis model diagram viewed from the front of Example 5 (No.
9) in the example.
FIG. 18B is an analysis model diagram viewed from the cross-section of Example
5 (No. 9) in the example.
FIG. 19 is a graph showing rigidity ratios in a bending model of the example.
10 FIG. 20 is a graph showing rigidity ratios in a torsion model of the example.
FIG. 21A is a perspective view showing a panel according to a modified example
of the present invention.
FIG. 21B is a perspective view showing the panel according to the modified
example of the present invention.
15 FIG. 22A is a perspective view showing a variation of the panel according to the
same modified example.
FIG. 22B is a perspective view showing a variation of the panel according to the
same modified example.
FIG. 22C is a perspective view showing a variation of the panel according to the
20 same modified example.
FIG. 22D is a perspective view showing a variation of the panel according to the
same modified example.
FIG. 23A is a perspective view showing a panel according to another modified
example.
-25 FIG. 23B is an enlarged perspective view showing the panel according to the
other modified example.
FIG. 24A is a graph showing rigidity ratios (bending) in the case where the
inclination angle of the inclined surface sections of the protrusions and recesses is changed
in another modified example.
30 FIG. 24B is a graph showing rigidity ratios (torsion) in the case where the
inclination angle of the inclined surface sections of the protrusions and recesses is changed
in another modified example.
9
FIG. 25A is a graph showing rigidity ratios (bending) in the case where the
distance between the top surfaces of the protrusions and recesses are changed in another
modified example.
FIG. 25B is a graph showing rigidity ratios (torsion) in the case where the distance
5 between the top surfaces of the protrusions and recesses are changed in another modified
example.
FIG. 26A is a graph showing rigidity ratios (bending) in the case where the
diagonal length of the top flat sections is changed in another modified example.
FIG. 26B is a graph showing rigidity ratios (torsion) in the case where the
10 diagonal length of the top flat sections is changed in another modified example.
FIG. 27A is a graph showing rigidity ratios (bending) in the case where the sizes
of the protrusions and the recesses with respect to the panel size are changed in another
modified example.
FIG. 27B is a graph showing rigidity ratios (torsion) in the case where the sizes of
15 the protrusions and the recesses with respect to the panel size are changed in another
modified example.
FIG. 28 is a graph showing rigidity ratios (bending) in the case where the diagonal
length of the top flat sections is changed.
FIG. 29 is a graph showing rigidity ratios (torsion) in the case where the diagonal
20 length of the top flat sections is changed.
FIG. 30 is a graph showing rigidity ratios (bending) in the case where the diagonal
length of the top flat sections is changed.
FIG. 31 is a graph showing rigidity ratios (torsion) in the case where the diagonal
length of the top flat sections is changed.
,25 FIG. 32 is a perspective view showing a circular arc section which connects the
protrusion and the recess.
FIG. 33 is a graph showing rigidity ratios (bending) in the case where the size of
the circular arc section is changed.
FIG. 34 is a graph showing rigidity ratios (torsion) in the case where the size of
30 the circular arc section is changed.
Embodiments of the Invention
[0016]
10
Hereunder, each embodiment of the present invention is described, with reference
to the drawings.
In FIG. Ito FIG. 6E, a panel 1 (I A to 1 E) of the present embodiment is to be used
for; packaging for household electric appliances, walls for freight containers, structures
5 and interior/exterior materials for building structures, vehicle bodies, chassis or various
components for automobiles, rolling stock, aircraft, and ships, or other types of containers
such as cans, and it is formed in an overall plate shape along a predetermined reference
surface F of a flat surface or a curved surface. This panel 1 may be formed by means of
press working with a metal thin plate composed of steel, stainless steel, or an aluminum
10 alloy, and it may also be formed by means of injection molding with a thermoplastic resin.
The panel 1 is formed so as to have a flat surface section 2 along the reference surface F,
and a bent section (frame section) 3 which is bent at a substantially right angle from the
outer periphery of this flat surface section 2. Here, although the panel 1 is provided with
the bent section 3, it does not always have to be provided with the bent section 3. However,
15 by providing the bent section 3, it is possible to obtain an effect of suppressing local
deformation of the periphery of the panel 1.
[0017]
A panel 1A of a first embodiment shown in FIG. 1 and FIG. 6A is provided with a
plurality of protrusions 4A each protruding from the reference surface F, and a plurality of .
20 flat sections 5A which are flush with the reference surface F.
The plurality of protrusions 4A protrude to one side (in the direction
-perpendicular to the reference surface F: upward from the drawing paper sur face). The flat
sections 5A each include a flat surface section 2, which remains as is and does not protrude.
The protrusions 4A and the flat sections 5A are arranged side by side along the flat surface
`25 section 2
Each protrusion 4A is of a regular hexagonal frustrum having an upper surface
section 41A in a regular hexagon shape when viewed from the front (when viewed from
the protruding direction), and inclined surface sections (inclined surfaces) 42A each
extending from each edge of the upper surface section 41 A toward the flat surface section
30 2 (reference surface F).
Each flat section 5A is formed in a regular triangular shape by the bottom end
peripheries of the inclined surface sections 42A of three protrusions 4A. That is to say, the
entire periphery of the protrusion 4A is surrounded by the flat sections 5A, and the entire
11
periphery of each flat section 5A is surrounded by the protrusions 4A. Specifically, the
three edges of the entire periphery of each flat section 5A are surrounded by three
protrusions 4A, and the six edges of the entire periphery of each protrusion 4A are
surrounded by six flat sections 5A. Therefore, the protrusions 4A and the flat sections 5A
5 are arranged so that adjacent flat sections 5A are not formed continuously, and adjacent
protrusions 4A are not formed continuously.
[0018]
With the configuration described above, the panel IA of the present embodiment
is of a configuration in which the protrusions 4A and the flat sections 5A are not formed in
10 a planarly continuous manner. As a result, a three dimensional effect of the panel IA is
obtained in the plate thickness direction, and the bending rigidity and the torsional rigidity
of the panel 1 A can be improved. Therefore, the level of the rigidity can be improved
dramatically, while weight reduction can be realized due to thickness reduction.
[0019]
15 A panel 1 B of a second embodiment shown in FIG. 2 and FIG. 6B is provided
with a plurality of protrusions 4B each protruding from the reference surface F, and a
plurality of recesses 6B each recessed from the reference surface F.
The protrusions 4B each protrude to one side (in the direction perpendicular to the
reference surface F: upward from the drawing paper surface), and the recesses 6B are each
20 recessed to the other side, which is opposite of the above one side (downward in the
drawing). The protrusions 4B and the recesses 6B are arranged side by side along the flat
surface section 2.
Each protrusion 4B is of a regular hexagonal frustrum having an upper surface
section 41B in a regular hexagon shape when viewed from the front (when viewed from
-25 the protruding direction), and inclined surface sections 42B each serving as a side surface
thereof. This inclined surface section 42B is a protrusion side inclined surface which is
formed on the peripheral portion of the protrusion 4B, extends from each edge of the upper
surface section 41 B toward the flat surface section 2 (reference surface F), and is inclined
with respect to the flat surface section 2.
30 Each recess 6B is of a downward-facing regular triangular fustrum having a
bottom surface section 61 B in a regular triangular shape, and inclined surface sections 62B
each serving as a side surface thereof. The inclined surface section 62B is a recess side
inclined surface which is formed on the peripheral portion of the recess 6B, extends from
12
each edge of the bottom surface section 61B toward the flat surface section 2 (reference
surface F), and is inclined with respect to the flat surface section 2. The entire periphery of
each protrusion 4B is surrounded by six of these recesses 6B. Meanwhile, the entire
periphery of each recess 6B is surrounded by three of the protrusions 4B.
5 With the configuration described above, the adjacent protrusions 4B are arranged
not to be continuous with each other, and the adjacent recesses 6B are arranged not to be
continuous with each other. Moreover, an inclination angle al of the inclined surface
section 42B of the protrusion 4B with respect to the reference surface F is the same as an
inclination angle a2 of the inclined surface section 62B of the recess 6B with respect to the
10 reference surface F.
Furthermore, when the inclined surface section 42B and the inclined surface
section 62B are viewed on a cross-section perpendicular to the reference surface F, these
inclined surface section 42B and inclined surface section 62B are linearly continuous and
are connected. That is to say, they are formed as being continuous within the same plane.
15 [0020]
With the configuration described above, as with the panel I A, the panel l B of the
present embodiment is capable of dramatically increasing the level of rigidity while
realizing a reduction in weight as a result of thickness reduction.
[0021]
20 A panel I C of a third embodiment shown in FIG. 3 and FIG. 6C is provided with
a plurality of protrusions 4C each protruding from the reference surface F, and a plurality
of flat sections SC which are flush with the flat surface section 2.
The protrusions 4C are each of a quadrangular shape, and protrude to one side (in
the direction perpendicular to the reference surface F: upward from the drawing paper
-2S surface): The flat sections 5C each include a flat surface section 2, which does not
protrude and remains as is. The protrusions 4C and the flat sections SC are arranged side
by side along the flat surface section 2.
Each protrusion 4C is of a regular quadrangular frustrum having an upper surface
section 41C in a regular quadrangular (tetragonal) shape when viewed from the front
30 (when viewed from the protruding direction), and inclined surface sections (inclined
surfaces) 42C each extending from each edge of the upper surface section 41 C toward the
flat surface section 2 (reference surface F). The entire periphery of each flat section SC is
surrounded by the protrusions 4C. Specifically, each flat section 5C is formed in a regular
13
quadrangular shape by the bottom end peripheries of the inclined surface sections 42C of
four (three in the case of the periphery of the panel 1) of the protrusions 4C, that is to say,
the four edges of the entire periphery of each flat section 5C are surrounded by four of the
protrusions 4C. Moreover, the entire periphery of each protrusion 4C is surrounded by the
5 flat sections 5C.
With this type of configuration, the protrusions 4C and the flat sections 5C are
arranged so that adjacent flat sections 5C are not formed continuously, and adjacent
protrusions 4C are not formed continuously.
Moreover, the protrusions 4C and the flat sections 5C are arranged alternately
10 along the reference surface F, along the widthwise direction (X direction) and the
lengthwise direction (Y direction) orthogonal to this widthwise direction. That is to say,
they are formed in a checkered pattern.
[0022]
With the configuration described above, as with the panel IA, the panel 1 C of the
15 present embodiment is capable of dramatically increasing the level of rigidity while
realizing a reduction in weight as a result of thickness reduction.
[0023]
A panel ID of a. fourth embodiment shown in FIG. 4 and FIG. 6D is provided with
a plurality of protrusions 4D each protruding from the reference surface F, and a plurality
20 of recesses 6D each recessed from the reference surface F.
The protrusions 4D protrude to one side (in the direction perpendicular to the
reference surface F: upward from the drawing paper surface). The recesses 6D are
recessed to the other side, which is opposite of the above one side (downward in the
drawing). The protrusions 4D and the recesses 6D are arranged side by side along the flat
°25 surface section 2.
Each protrusion 4D is of a regular quadrangular frustrum having an upper surface
section 41D in a regular quadrangular (tetragonal) shape when viewed from the front
(when viewed from the protruding direction), and inclined surface sections 42D each
serving as a side surface thereof. The inclined surface section 42D is a protrusion side
30 inclined surface which is formed on the peripheral portion of the protrusion, extends from
each edge of the upper surface section 41D toward the flat surface section 2 (reference
surface F), and is inclined with respect to the flat surface section 2. The entire periphery of
14
each protrusion 4D is surrounded by four of these recesses 6D. Meanwhile, the entire
periphery of each recess 6D is surrounded by four of the protrusions 4B.
Each protrusion 6D is of a downward-facing regular quadrangular frustrum
having a bottom surface section 61D in a regular quadrangular (tetragonal) shape when
5 viewed from the front (when viewed from the protruding direction), and inclined surface
sections 62D each serving as a side surface thereof. The inclined surface section 62D is a
recess side inclined surface which is formed on the peripheral portion of the recess 6D,
extends from each edge of the bottom surface section 61D toward the flat surface section 2
(reference surface F), and is inclined with respect to the flat surface section 2. The entire
10 periphery of each protrusion 4D is surrounded by four of the recesses 6D, while the entire
periphery of each recess 6D is surrounded by four of the protrusions 4D.
With the configuration described above, the protrusions 4D and the recesses 6D
are, arranged side by side alternately along the widthwise direction (X direction) and the
lengthwise direction (Y direction) orthogonal to this widthwise direction. That is to say,
15 they are formed in a checkered pattern.
Accordingly, the adjacent protrusions 4D are arranged not to be continuous with
each other, and the adjacent recesses 6D are arranged not to be continuous with each other.
Moreover, an inclination angle a3 of the inclined surface section 42D of the protrusion 4D
with respect to the reference surface F is the same as an inclination angle a4 of the inclined.
20 surface section 62D of the recess 6D with respect to the reference surface F. Furthermore,
when the inclined surface section 42D-and the inclined surface section 62D are viewed on
a cross-section perpendicular to the reference surface F, these inclined surface section 42D
and inclined surface section 62D are linearly continuous and are connected. That is to say,
they are formed as being continuous within the same plane.
-25 [0024]
With the configuration described above, as with the panel 1A, the panel 1D of the
present embodiment is capable of dramatically increasing the level of rigidity while
realizing a reduction in weight as a result of thickness reduction.
[0025]
30 A panel 1E of a fifth embodiment shown in FIG. 5 and FIG. 6E is provided with a
plurality of protrusions 4E each protruding from the reference surface F, and a plurality of
recesses 6E each recessed from the reference surface F.
15
The protrusions 4E protrude to one side (in the direction perpendicular to the
reference surface F: upward from the drawing paper surface). The recesses 6E are
recessed to the other side, which is opposite of the above one side (downward in the
drawing). The protrusions 4E and the recesses 6E are arranged side by side along the flat
5 surface section 2.
Moreover, between corner sections of the adjacent protrusions 4E (between
corner sections of the recesses 6E), there is formed a bridge 51E. Each bridge 51E has a,
flat top flat section (top upper surface) 5E, and this top flat section 5E is formed with a flat
surface section 2 which remains as is and does not protrude nor is recessed.
10 Each protrusion 4E is of an octangular frustrum having a
regular-quadrangular-shaped (tetragonal) upper surface section 41E, four corners of which
are chamfered, when viewed from the front (when viewed from the protruding direction),
inclined surface sections 42E each serving as a side surface , and corner section inclined
surfaces 43E each extending from the four corners of the upper surface section 41 E toward
15 the flat surface section 2 (reference surface F). This inclined surface section 42E is a
protrusion side inclined surface which is formed on the peripheral portion of the protrusion
4E, extends from each edge of the upper surface section 41 E toward the flat surface section
2 (reference surface F), and is inclined with respect to the flat surface section 2.
Each recess 6E is of a downward-facing octangular frustrum having a
20 regular-quadrangular-shaped bottom surface section 61E, four corners of which are
chamfered, when viewed from the front (when viewed from the protruding direction),
inclined surface sections 62E each serving as a side surface , and corner section inclined
surfaces 63E each extending from the four corners of the bottom surface section 61 E
toward the flat surface section 2 (reference surface F). The inclined surface section 62E is
'25 a recess side inclined surface which is formed on the peripheral portion of the recess 6E,
extends from each edge of the bottom surface section 61 E toward the flat surface section 2
(reference surface F), and is inclined with respect to the flat surface section 2.
Each top flat section 5E is formed, in a corner section where diagonally positioned
two protrusions 4E and two recesses 6E approach to each other , in a regular quadrangular
30 shape defined by the bottom end peripheries of the corner section inclined surfaces 43E
and the upper end peripheries of the corner section inclined surfaces 63E.
[0026]
16
On the panel 1E of the fifth embodiment, the entire periphery of each protrusion
4E is surrounded by four of the recesses 6E, and the entire periphery of each recess 6E is
surrounded by four of the protrusions 4E. With this configuration, the protrusions 4E and
the recesses 6E are arranged side by side alternately along the widthwise direction (X
5 direction) and the lengthwise direction (Y direction) orthogonal to this widthwise direction.
That is to say, they are formed in a checkered pattern.
Accordingly, the panel IF is configured such that the adjacent protrusions 4E are
arranged not to be continuous with each other, and the adjacent recesses 6E are arranged
not to be continuous with each other. Furthermore, four edges of the entire periphery of
10 the top flat section 5E are surrounded by two of the protrusions 4E and two of the recesses
6E, and the adjacent top flat sections 5E (bridges 51E) are not continuous with each other.
Moreover, an inclination angle a5 of the inclined surface section 42E of the protrusion 4E
with respect to the reference surface F is the same as an inclination angle a6 of the inclined
surface section 62E of the recess 6E with respect to the reference surface F. Furthermore,
15 the inclined surface section 42E and the inclined surface section 62E are formed as being
continuous within the same plane.
[0027]
With the configuration described above, as with the panel 1 A, the panel 1 E of the
present embodiment is capable of dramatically increasing the level of rigidity while
20 realizing a reduction in weight as a result of thickness reduction.
Moreover, the panels 1A to 1D of FIG. 1 to FIG. 4 may be provided with bridges
51E as with those of the panel IE.
[0028]
Here, panels 10 (10A, 10B, 10C, and I OD) according to conventional examples of
`25 the present invention are described based on FIG. 7A, FIG. 7B, FIG. 7C, and FIG. 8.
In FIG. 7A, the panel 10A is formed having a flat-plate-shaped flat surface section
12, and bent sections 13 each bent substantially at right angles from the outer periphery of
this flat surface section 12.
In FIG. 7B, the panel l OB is formed having a flat surface section 12, bent sections
30 13, a plurality of protrusions 14 each protruding to one side (upward from the drawing
paper surface) from the flat surface section 12, and a flat section 15 where no protrusion 14
is formed on the flat surface section 12.
17
In FIG. 7C, the panel 1 OC is formed having a flat surface section 12, bent sections
13, a plurality of protrusions 14, a flat section 15, and a plurality of recesses 16 each
recessed from the flat surface section 12 to the other side (downward in the drawing).
In FIG. 8, the panel 10D is formed having a flat surface section 12, bent sections
5 13, and a plurality of protrusions 14D each protruding from the flat surface section 12 to
one side (upward from the drawing paper surface), and the protrusions 14D are each of a
quadrangular pyramid in a planarly regular quadrangular shape and aree arranged side by
side so that the edges of the adjacent protrusions 14D are in contact with each other.
[Examples]
10 [0029]
Hereunder, there are described results of a panel rigidity investigation conducted
for the panels 1 of the present embodiment and the conventional panels 10.
Here, with the panels 1 A to 1 E of the embodiments taken as examples, and the
conventional panels I OA to l OD taken as comparative examples, an FEM analysis was
15 conducted with a model of each panel to calculate the rigidity of the panels. As the FEM
analysis models, there were used a bending model in which the four comers and the center
of the four edges of each of the panels 1 and 10 were supported and a load was applied onto
the center of the panel as shown in FIG. 9A, and a torsion model in which the three comers
of each of the panels 1 and 10 were supported while applying a load onto the other corner
20 as shown in FIG. 9B. Moreover, the panels 1 and 10 of each model was of a configuration
such that the height of each bent section 3 and 13 was 15 mm, and end peripheries 23
thereof were not connected with each other. Furthermore, the arrangement gird the
dimension of protrusions and recesses of each model are shown in FIG. 10A to FIG. 18B.
The model dimensions are each expressed as a dimension at the plate thickness center of
`25 the panels 1. and 10. Moreover, analysis results are shown in FIG. 19 and FIG. 20.
[0030]
{Analysis Models}
Common analysis model elements and analysis conditions among the examples
and comparative examples are as follows.
30 - Panel size: 285 mm x 285 mm
- Panel plate thickness: 0.6 mm (panel material assumed to be steel)
18
- Load application position: a range of 20 mm x 20 mm in the center of panel in the
bending model, and one point at the non-supported one corner in the torsion model
(illustrated with the outline arrow in FIG. 9).
- Applied load: ION
5 [0031]
{Comparative Examples}
1 Comparative Example 1 uses a panel 1 OA shown in FIG. 7A, and the shape of the
analysis model is shown in FIG. 10. Moreover, it is shown as No. 1 in the analysis result
graphs (FIG. 19 and FIG. 20).
10 Comparative Example 2 uses a panel I OB shown in FIG. 7B, and the arrangement
and dimensions of protrusions and recesses of the analysis model are shown in FIG. 11A
and FIG. I1B. Moreover, it is shown as No. 2 in the analysis result graphs (FIG. 19 and
FIG. 20). In this Comparative Example 2, there is made an arrangement such that the
distance between the centers of adjacent protrusions 14 is 34.64 mm, and the center point is
15 positioned at the apex of an equilateral triangle. The diameter of the truncated cone top
surface of each protrusion 14 is 24 mm, the diameter of the truncated cone bottom surface
is 30 mm, the protrusion dimension of the protrusion 14 from the flat surface section 12 is
3 mm, and the inclination angle of the truncated cone of the protrusion 14 is 45°.
Comparative Example 3 uses a panel IOC shown in FIG. 7C, and the arrangement .
20 and dimensions of protrusions and recesses of the analysis model are shown in FIG. 12A
and FIG. 12B. Moreover, it is shown as No. 3 in the analysis result graphs (FIG. 19 and
FIG. 20) In this Comparative Example 3, there is made an arrangement such- that the
distance between the centers of an adjacent protrusion 14 and a recess 16 is 34.64 mm, and
the center point is positioned at the apex of an equilateral triangle. The diameter of the
°25 truncated cone top surface of each protrusion 14 and each recess 16 is 27 mm, the diameter
of the truncated cone bottom surface is 30 mm, and the protrusion dimension of the
protrusion 14 and the recess dimension of the recess 16 from the flat surface section 12 are
both 1.5 mm. Moreover, the distance between the protrusion 14 and the truncated cone top
surface of the recess 16 is 3 mm, and the inclination angle of the truncated cones of the
30 protrusion 14 and the recess 16 is 45°.
Comparative Example 4 uses a panel 1OD shown in FIG. 8, and the arrangement
and dimensions of protrusions and recesses of the analysis model are shown in FIG. 13A
and FIG. 13B. Moreover, it is shown as No. 4 in the analysis result graphs (FIG. 19 and
19
FIG. 20). In this Comparative Example 4, the distance between the centers of adjacent
protrusions 14D is 30 mm, that is to say, the planar dimension of each protrusion 14D is 30
mm x 30 mm, and the protrusion dimension of the protrusion 14D from the flat surface
section 12, that is, the height of the apex of the quadrangular pyramid is 3 mm.
5 [0032]
{Examples}
Example 1 uses a panel 1A shown in FIG. 1 and FIG. 6A, and the arrangement
and dimensions of protrusions and recesses of the analysis model are shown in FIG. 14A
and FIG. 14B. Moreover, it is shown as No. 5 in the analysis result graphs (FIG. 19 and
10 FIG. 20). In this panel 1A of Example 1, the distance between the centers of adjacent
protrusions 4A is 34.64 nun, the center point is positioned at the apex of an equilateral
triangle, the distance between the opposite edges of the hexagonal frustrum top surface of
each protrusion 4A is 24 mm, the distance between the opposite edges of the hexagonal
frustrum bottom surface is 30 mm, and the flat surface equilateral triangle surrounded by
15 hexagonal frustrum bottom surfaces serves as each flat section 5A. Furthermore, the
protrusion dimension of the protrusion 4A from the flat surface section 2 is 3 mm, and the
inclination angle of the inclined surface section 42A of each protrusion 4A with respect to
the reference surface F is 45°.
Example 2 uses a panel IB shown in FIG. 2 and FIG. 6B, and the arrangement and
20 dimensions of protrusions and recesses of the analysis model are shown in FIG. 15A and
FIG. 15B. Moreover, it is shown as No. 6 in the analysis result graphs (FIG. 19 and FIG.
20). In this panel 1B of Example 2, the distance between the centers of adjacent
protrusions 4B is 34.64 mm, and the center point is positioned at the apex of the equilateral
triangle, the distance between the opposite edges of the hexagonal frustrum top surface of
-25 each protrusion 4B is 27 mm, and the distance between the opposite edges of the
hexagonal frustrum bottom surface is 30 mm. Moreover, in each region surrounded by the
hexagonal frustrum bottom surfaces, there is provided a triangular fmstrum each serving
as a recess 6B. Furthermore, the protrusion dimension of each protrusion 4B from the flat
surface section 2 is 1.5 mm, and the recess dimension of each recess 6B from the flat
30 surface section 2 is 1.5 mm. Moreover, the distance between the hexagonal frustrum top
surface of each protrusion 4B and the triangular frustrum top surface of each recess 6B is 3
mm, and the inclination angles of the inclined surface section 42B of the protrusion 4A and
20
the inclination angle of the inclined surface section 62B of the recess 6B with respect to the
reference surface F are respectively 45°.
[0033]
Example 3 uses a panel 1 C shown in FIG. 3 and FIG. 6C, and the arrangement and
5 dimensions of protrusions and recesses of the analysis model are shown in FIG. 16A and
FIG. 16B. Moreover, it is shown as No. 7 in the analysis result graphs (FIG. 19 and FIG.
20). In this panel 1C of Example 3, the distance between the centers of adjacent
protrusions 4C is 30 mm, that is to say, the length of each edge of the quadrangular
frustrum bottom surface of each protrusion 4C is 30 mm, and the length of each edge of the
10 quadrangular frustrum top surface is 24 mm. Furthermore, the protrusion dimension of the
protrusion 4C from the flat surface section 2 is 3 mm, and the inclination angle of the
inclined surface section 42C of each protrusion 4C with respect to the reference surface F
is 45°.
Example 4 uses a panel 1D shown in FIG. 4 and FIG. 6D, and the arrangement
15 and dimensions of protrusions and recesses of the analysis model are shown in FIG. 17A
and FIG. 17B. Moreover, it is shown as No. 8 in the analysis result graphs (FIG. 19 and
FIG. 20). In this panel 1D of Example 4, the distance between the centers of adjacent
protrusions 4D is 30 mm, that is to say, the length of each edge of the quadrangular
frustrum bottom surface of each planarly regular-quadrangular-shaped protrusion 4D is 30
20 mm, the length of each edge of the quadrangular frustrum top surface thereof is 27 mm, the
length of each edge of the quadrangular frustrum bottom surface of each recess 6D is 30
mm, and the length of each edge of the quadrangular frustrum top surface thereof is 27 num.
Furthermore, the protrusion dimension of each protrusion 4D from the flat surface section
2 is 1.5 mm, and the recess dimension of each recess 6D from the flat surface section 2 is
`25 1.5 mm. Moreover, the distance between the quadrangular frustrum top surface of each
protrusion 4D and the quadrangular frustrum top surface of each recess 6D is 3 mm, and
the inclination angle of the inclined surface section 42D of the protrusion 4D and the
inclination angle of the inclined surface section 62D of the recess 6D with respect to the
reference surface F are respectively 45°.
30 In this Example 4, the planar shapes and the planar dimensions of the protrusion
4D and the recess 6D are the same. As a result, a well balanced resistance can be provided
with respect to both an external force from the protruding side of the panel and an external
force from the recessed side of the panel.
21
Furthermore, in this Example 4, the protrusion dimension of the protrusion and
the recess dimension of the recess perpendicular to the reference surface are the same.
Also in this case, a well balanced resistance can be provided with respect to both an
external force from the protruding side of the panel and an external force from the recessed
5 side of the panel.
[0034]
Example 5 uses a panel 1E shown in FIG. 5 and FIG. 6E, and the arrangement and
dimensions of protrusions and recesses of the analysis model are shown in FIG. 18.
Moreover, it is shown as No. 9 in the analysis result graphs (FIG. 19 and FIG. 20). In this
10 panel lE of Example 5, the distance between the centers of adjacent protrusions 4E is 30
mm, that is to say, the length of each edge of the quadrangular frustrum bottom surface of
each planarly regular-quadrangular-shaped protrusion 4E is 30'mm, the length of each
edge of the quadrangular frustrum top surface thereof is 27 mm, the length of each edge of
the quadrangular frustrum bottom surface of each recess 6E is 30 mm, and the length of
15 each edge of the quadrangular frustrum top surface thereof is 27 mm. Furthermore, the
protrusion dimension of each protrusion 4E from the flat surface section 2 is 1.5 mm, and
the recess dimension of each recess 6E from the flat surface section 2 is 1.5 mm. Moreover,
the distance between the quadrangular frustrum top surface of each protrusion 4E and the
quadrangular frustrum top surface of each recess 6E is 3 mm, and the inclination angle of
20 the inclined surface section 42E of the protrusion 4E and the inclination angle of the
inclined surface section 62E of the recess 6E with respect to the reference surface F are
respectively 45° Moreover, in_the panel IE of Example 5, the chamfer dimensions of the
protrusion 4E and the recess 6E are respectively 1.5 mm, that is to say, the length of the
respective diagonal lengths of each top flat section 5E of the regular quadrangular shape
`25 are 3 min, and the inclination angles of the corner section inclined surface 43E and the
corner section inclined surface 63E with respect to the reference surface F are respectively
45°.
[0035]
FIG. 19 and FIG. 20 show FEM analysis results. FIG. 19 is a graph showing
30 rigidity ratios in the bending model in which there are shown values found by dividing
vertical displacement of the panel center in the panel I OA of Comparative Example 1 by
vertical displacement of the panel center in the panels I and 10 of the respective examples
and comparative examples. FIG. 20 is a graph showing rigidity ratios in the torsion model
22
in which there are shown values found by dividing vertical displacement of the load
application position in the panel 10A of Comparative Example 1 by vertical displacement
of the load application position in the panels 1, and 10 of the respective examples and
comparative examples. That is to say, FIG. 19 and FIG. 20 show the ratio of increments in
5 bending rigidity and torsional rigidity of the panels 1A to lE of Examples 1 to 5 and the
panels 1 OB to 10D of Comparative Examples 2 to 4, with respect to the panel I OA of
Comparative Example 1, which has no protrusion and recess. The vertical axis in FIG. 19
and FIG. 20 each represents rigidity ratio.
[0036]
10 As shown in FIG. 19, with respect to the panel 1 OA of Comparative Example 1
(No. 1), the bending rigidity of the panels 10B. to 10D of Comparative Examples 2 to 4 (No.
2, 3, and 4) increased by only 1.9 times to 2.32 times, and the bending rigidity of the panels
lA to 1C of Examples 1 to 3 (No. 5 to 7) increased by only 2.35 times to 2.75 times.
Meanwhile, the bending rigidity of the panels ID and lE of Examples 4 and 5 (No. 8 and
15 9) increased by 3.98 times and 3.74 times, that is, nearly four times that of the panel I OA of
Comparative Example 1. As mentioned above, it has been learned that in the panels 1 A to
1 C of Examples 1 to 3 according to the embodiments of the present invention, the level of
bending rigidity increases to a level similar to or higher than that of the conventional
panels I OB and IOC having protrusions and recesses (Comparative Examples 2 and 3).
20 Furthermore, it has been learned that in the panels 1D and lE of Examples 4 and 5
according to the embodiments of the present invention, the level of bending rigidity
_ increases by approximately 1.6 to 1.9 times compared to the conventional panels IOB and
10C.
[0037]
25 As shown in FIG. 20, with respect to the panel 1 OA of Comparative Example 1
(No. 1), the torsional rigidity of the panels l OB to 1 OD of Comparative Examples 2 to 4
(No. 2, 3, and 4) increased by only 1.18 times to 1.58 times, and the torsional rigidity of the
panels 1A to IC of Examples 1 to 3 (No. 5 to 7) increased by only 1.49 times to 1.56 times.
Meanwhile, the torsional rigidity of the panels 1D and lE of Examples 4 and 5 (No. 8 and
30 9) increased by 3.26 times and 3.34 times, that is, more than three times that of the panel
l OA of Comparative Example 1. As mentioned above, it has been learned that in the
panels 1 A to 1 C of Examples 1 to 3 according to the embodiments of the present invention,
the level of torsional rigidity increases to a level similar to that of the conventional panels
23.
l OB and I OC having protrusions and recesses (Comparative Examples 2 and 3).
Furthermore, it has been learned that in the panels 1D and 1E of Examples 4 and 5
according to the embodiments of the present invention, the level of torsional rigidity
increases by approximately 2.1 to 2.2 times compared to the conventional panels IOB and
5 IOC.
[0038]
The following knowledge has been learned from the above examples.
That is to say, compared to the comparative examples in which the flat surface
section 12 and the flat section 15 are continuous, in the panels of Examples 1 to 5 in which
10 the flat sections 5A, 5C and the top flat section 5E are not continuous with each other, and
the protrusions 4A to 4E and the recesses 6B, 6D, and 6E are not continuous with each
other, it is possible to increase the level of bending rigidity and'torsional rigidity. In
particular, in Examples 4 and 5 in which the protrusions 4D, 4E and the recesses 6D, 6E
are arranged in a checkered pattern, the ratio of increment in the bending rigidity and
15 torsional rigidity is high, and it is possible to dramatically increase the level of rigidity.
[0039]
The dimensions of the respective sections of the panel 1 shown in the above
examples are merely an example, and they may be appropriately changed according to the
intended purpose. An effect in the case of further changing the dimension of the respective
20 sections of the panel 1 from those in the above example is described based on FIG. 2 IA to
FIG. 27B and Tables 1 to 10. Here, the dimensions of the respective sections of the panel
1 are denoted by symbols shown in FIG. 21A to FIG. 23B. The dimensions of the
respective sections in FIG. 21A to FIG. 22D respectively illustrate: the distance H between
the quadrangular frustrum top surface of the protrusion and the quadrangular frustrum top
`25 surface of the recess; the plate thickness t; the length J of each edge of the quadrangular
fiustrum bottom surface of the protrusion and the recess; the inclination angle 0 of the
inclined surfaces of the protrusion and the recess with respect to the reference surface F;
the number m of the protrusions and the recesses; and the panel size L and the panel size L'
excluding the flat surface section of the panel periphery. Moreover, the dimensions of the
30 respective sections in FIG. 23A and FIG. 23B respectively illustrate the length J of each
edge of the quadrangular flustrum bottom surface, and the diagonal length K of the top flat
section.
[0040]
24
Taking the panel shape of Example 4 as a base, respective rigidity ratios of
bending rigidity and torsional rigidity in the case of changing the inclination angle 8 with
use of the dimensions of the respective sections of the panel shown in Tables I and 2 (as
with Comparative Example 1, a panel having no protrusions and recesses is taken as the
5 reference of comparison) are shown in FIG. 24A and FIG. 24B. Here, Tables 1 and 2 each
show bending rigidity ratio (Table 1) and torsional rigidity ratio (Table 2) in the case of
changing the inclination angle 0 of the protrusions and the recesses. In each shape where 8
= 5.7° to 90°, an improvement can be seen in bending rigidity and torsional rigidity with
any inclination angle 8. Moreover, within the range of 0 = 10° to 90°, the level of rigidity
10 markedly improved with roughly 3 times or more increase in the bending rigidity ratio and
torsional rigidity ratio. Furthermore, within the range of 0 = 45° to 75°, the level of rigidity
significantly improved with 3.8 times increase in bending rigidity and 3.3 times or more
increase in torsional rigidity. That is to say, in the panel of this Example 4, it is possible to
provide a panel with a high level of rigidity ratio regardless of the inclination angle 8.
15 [0041]
Taking the panel shape of Example 4 as a base, respective rigidity ratios of
bending rigidity and torsional rigidity in the case of changing the distance H between the
top surface of the quadrangular frustrum of the protrusion and the top surface of the
quadrangular frustrum of the recess with use of the dimensions of the respective sections
20 of the panel shown in Tables 3 to 8 (a panel having no protrusions and recesses is taken as
the reference of comparison) are shown in FIG. 25. Here, Tables 3 to 8 each show bending
rigidity ratios (Tables 3, 5, and 7) and torsional rigidity ratios (Tables 4, 6, and 8) in the
case of changing the distance H between the top surfaces of the quadrangular frustrums of
the protrusion and the recesses, where the plate thickness is t = 0.3 mm in Tables 3 and 4,
25 the plate thickness is t = 0.6 mm in Tables 5 and 6, and the plate thickness is t =1.0 mm in
Tables 7 and 8. Although there were some increments and decrements, in all plate
thicknesses, the level of both bending rigidity and torsional rigidity improved roughly by
twice within the range of H / L > 0.005, and the level of both bending rigidity and torsional
rigidity improved roughly by three times within the range of H / L > 0.01. Regarding the
30 relationship between plate thickness t and distance H, an improvement was seen in the
level of rigidity in the relationships between all plate thicknesses t and distances H. Here,
rigidity in particular tends to improve when roughly H > t or higher, that is to say, within
the range of H / t > 1.0.
25
[0042]
Taking the panel shape of Example 5 as a base, respective rigidity ratios of
bending rigidity and torsional rigidity in the case of changing the diagonal length K of the
top flat section with use of the dimensions of the respective sections of the panel shown in
5 Tables 9 and 10 (a panel having no protrusions and recesses is taken as the reference of
comparison) are shown in FIG. 26A and FIG. 26B. Here, Tables 9 and 10 each show
bending rigidity ratio (Table 9) and torsional rigidity ratio (Table 10) in the case of
changing the diagonal length K of the top flat section. Within the range of K / J = 0 to 0.9,
an improvement was seen in the level of bending rigidity and torsional rigidity, and within
10 the range of K / J = 0 to 0.6 in particular, the level of rigidity markedly improved with
roughly three times or more increase in the rigidity ratio.
[0043]
Taking the panel shape of Example 4 as a base, respective rigidity ratios of
bending rigidity and torsional rigidity in the case of changing the ratio of the length J of
15 each edge of the quadrangular frustrum bottom surface of the protrusion and recess with
respect to the panel size L (corresponding to the inverse munber of the number m of
protrusions and recesses) with use of the dimensions of the respective sections of the panel
shown in Tables 11 and 12 (a panel having no protrusions and recesses is taken as the
reference of comparison), are shown in FIG. 27A and FIG. 28B. Here, Table 11 shows
20 bending rigidity ratios, and Table 12 shows torsional rigidity ratios. Since the panel size of
each model is different, rigidity ratios are obtained by making a comparison based on the
rigidity in a deformation range which produces a deflection angle and a torsion angle
equivalent to the deflection angle and the torsion angle due to torsional deformation,
created as a result of bending deformation at the time of applying a load ION on the model
25 of panel -size L = 270 mm (L'= 285 mm).
Within the range of J / L < 0.5, an improvement is seen in the level of bending
rigidity and torsional rigidity. Here, an improvement is seen in the level of rigidity also
when J / L = 0.5, that is to say, also with a checkered pattern, which is formed with a
combination of a minimum number of protrusions and recesses including two protrusions
30 and two recesses. That is to say, as a special form of configuration of protrusions and
recesses, other than the configuration in which protrusions and recesses alternately
surround four edges, there may be provided a configuration such that two edges among the
26
peripheral edges of the protrusion and the recess are surrounded by flat sections, the
surfaces of which are different from the top surface of the quadrangular frustrum.
[0044]
[Table 1]
5 [0045]
[Table 2]
[0046]
[Table 3]
[0047]
10 [Table 4]
[0048]
[Table 5]
[0049]
[Table 6]
15 [0050]
[Table 7]
[0051]
[Table 8]
[0052]
20 [Table 9]
[0053]
[Table 10]
[0054]
[Table 11]
°25 [0055]
[Table 12]
[0056]
As described above, in the panel 1 of the present embodiment, it is possible to
configure a more preferred panel provided that H / L > 0.005, H / t> 1.0, 0 = 5.7° to 90°, K
30 /J°0to0.9,andJ/L<0.5.
[0057]
Taking the panel shape of Example 5 as a base, respective rigidity ratios of
bending rigidity and torsional rigidity in the case of changing the diagonal length K of the
27
top flat section 5E and the inclination angle 0 of the inclined surface section 42E (62E) (a
panel having no protrusions and recesses is taken as the reference of comparison), are
shown in FIGS. 28, 29, 30, and 31. Values of the diagonal length K of the top flat section
5E are respectively: K = 0, 3, 6, 15, 21, 24, and 27. Moreover, the inclination angle 0 of the
5 inclined surface section 42E (62E) takes values shown in Tables 13 to 40.
FIG. 28 (H = 3, bending) and FIG. 29 (H = 3, torsion) are graphs of Table 13 (K =
0) to Table 19 (K = 27) of rigidity ratios (bending) and Table 20 (K = 0) to Table 26 (K =
27) of rigidity ratios (torsion) in the case where the distance H between the top surface of
the protrusion and the top surface of the recess shown in FIG. 18 is 3.0 mm. Moreover,
10 FIG. 30 (H = 6, bending) and FIG. 31 (H = 6, torsion) are graphs of Table 27 (K = 0) to
Table 33 (K = 27) of rigidity ratios (bending) and Table 34 (K = 0) to Table 40 (K= 27) of
rigidity ratios (torsion) in the case where the protrusion dimension (distance) H is 6.0 mm.
FIG. 28to FIG. 31 each show a graph where each horizontal axis represents the value
found by dividing the sum of the area S3 of the top flat section 5E and the area S4 of the
15 inclined section (sum of the inclined surface section 42E (62E) and the corner section
inclined surface 43E) by the sum of the area Si of the upper surface section 41E and the
area S2 of the bottom surface section 61E, and each vertical axis represents each rigidity
ratio of bending rigidity and torsional rigidity. Here, the area S I of the upper surface
section 41E, the area S2 of the bottom surface section 61E, and the area S3 of the top flat
20 section 5E are surface areas, and the area S4 of the inclined section (sum of the inclined
surface section 42E (62E) and the corner section inclined surface 43E) is a projected area
projected on the reference surface F when the inclined surface section 42E (62E) and the
corner section inclined surface 43E are projected from the upper surface.
[0058]
,25 -[Table 13]
[0059]
[Table 14]
[0060]
[Table 15]
30 [0061]
[Table 16]
[0062]
[Table 17]
28
[0063]
[Table 18]
[0064]
[Table 19]
5 [0065]
[Table 20]
[0066]
[Table 21]
[0067]
10 [Table 22]
[0068]
[Table 23]
[0069]
[Table 24]
15 [0070]
[Table 25]
[0071]
[Table 26]
[0072]
20 [Table 27]
[0073]
__ [Table 28]
[0074]
[Table 29]
'25 [0075]
[Table 30]
[0076]
[Table 31]
[0077]
30 [Table 32]
[0078]
[Table 33]
[0079]
29
[Table 34]
[0080]
[Table 35]
[0081]
5 [Table 36]
[0082]
[Table 37]
[0083]
[Table 38]
10 [0084]
[Table 39]
[0085]
[Table 40]
[0086]
15 As can be seen from FIG. 28 to FIG. 31, rigidity ratio changes with values of the
diagonal length K of the top flat section 5E and the inclination angle 0 of the inclined
surface section 42E (62E). Although values of the optimum diagonal length K and the
inclination angle 0 can be found in design, suitable values for K and 0 may change due to
the characteristics of materials to be used for the panel, and also they may be changed in
20 order to ensure secondary-workability when forming the shape of the panel with
protrusions and recesses provided thereon. Even in the case where values of the diagonal
length K and the inclination angle 0 change in this type of manner, it is possible to ensure
the maximum value of rigidity ratio including the inflection point provided that the value
of (top flat section area + inclined section area) / (upper surface section area + bottom
-25 surface section area) is not more than 1.0. Therefore, even if the characteristics of the
panel material or the required level of secondary workability change, it is possible to
ensure superior panel rigidity.
Moreover, although the panel shape of Example 5 is taken as a base, a similar
effect can also be obtained with use of the panels of Examples 1 to 4.
30 [0087]
Taking the panel shape of Example 4 as a base, with use of the dimensions of the
respective sections of the panel shown in Tables 41 and 42, respective rigidity ratios of
bending rigidity and torsional rigidity in the case where a circular are section (radius R = r
30,
x t) is provided at the intersection of the inclined surface sections which connect a
protrusion and a recess as shown in FIG. 32 and the ratio r of the radius R of the circular arc
section with respect to the plate thickness t is changed (as with Comparative Example 1, a
panel having no protrusions and recesses is taken as the reference of comparison), are
5 shown in FIG. 33 and FIG. 34.
[0088]
[Table 41 ]
[0089]
[Table 42]
10 As can be seen from FIG. 33 and FIG. 34, the level of bending rigidity and
torsional rigidity improved even when the value of r was changed from 0 to 22, and it can
be understood that it is possible to obtain the effect of improving the rigidity even if r of the
intersection section is appropriately set according to the characteristic of the material to be
used for the panel. That is to say, by providing a circular are section instead of the flat
15 section, it is possible to obtain an effect similar to that in the case of providing the flat
section. Moreover, there is an advantage in that working of the circular are section
formation can be performed easily.
[0090]
The present invention is not a configuration to be limited by the above
20 embodiments, and includes other configurations which enable realization of the object of
the present invention. The present invention also includes modifications such as those
shown below.
For example, in the above embodiments, there has been described a case where
the reference surface F of the panel 1 is a flat surface. However, the reference surface F is
`25 not limited to a flat surface, and it may be a cylindrical surface, a spherical surface, a gently
curved surface, or any other three-dimensional curved surface. Furthermore, the shape of
the panel 1 is not limited to a rectangular shape, and a panel in an arbitrary shape may be
used. Moreover, the shapes of the flat surface of the protrusions, the recesses, and the flat
sections are not limited to those in the above embodiments, and an arbitrary shape may be
30 used. The protrusions and the recesses do not always have to be formed only with
protrusions from the reference surface to one side and with recesses to the other side, and it
is possible, only with protrusions to one side or only with recesses to the other side, to
31
obtain a panel having an arrangement and dimensions of prot rusions and recesses of the
intended purpose as a result.
Furthermore, the distance H between the quadrangular frustrum top surfaces of
the protrusion and the recess does not always have to be greater than the plate thickness,
5 and the panel may be provided with H smaller than the plate thickness t.
Moreover, the plate bending radius for forming protrusions and recesses may be
appropriately set according to the characteristics of the material to be used for the panel.
[0091]
In addition, the best configurations and methods for carrying out the present
10 invention are disclosed in the above description . However, the present invention is not
limited to these. That is to say, although the present invention is especially illustrated and
described primarily for the specific embodiments , those working in the field may make
various modifications to the above embodiments in terms of shape, material , quantity, and
other detailed configurations , without departing from the technical idea and the scope of
15 the invention.
Therefore, the description which limits the shapes and materials disclosed above
refers to panels illustrated as examples for facilitating understanding of the present
invention, and the present invention is not limited by these shapes and materials.
Therefore, the present invention includes descriptions made with names of members which
20 do not have part or all of the limitations on these shapes and materials.
Industrial Applicability
[0092]
According to the present invention it is possible to provide a panel which has a
,25 simple structure and is capable of reliably increasing the level of rigidity thereof and
reducing the weight thereof.
Reference Signs List
[0093]
30 1, IA, 113, 1C, 1D, lE: Panel
4A, 4B, 4C, 4D, 4E: Protrusion
5A, 5C: Flat section
5E: Top flat section (top upper surface)
32
6, 6B, 6D, 6E: Recess
42A, 42B, 42C, 42D, 42E: Inclined surface section (protrusion side inclined
surface)
51E: Bridge
5 62B, 62D, 62E: Inclined surface section (recess side inclined surface)
F: Reference surface

A panel comprising, among protrusions protruding from a predetermined
reference surface, flat sections being flush with the reference surface, and recesses being
5 recessed from the reference surface:
the protrusions; and
the flat sections or the recesses, wherein:
when the panel comprises the flat sections, an entire periphery of each of the
protrusions is surrounded by the flat sections, and an entire periphery of each of the flat
10 sections is surrounded by the protrusions;
while when the panel comprises the recesses, the entire periphery of each of the
protrusions is surrounded by the recesses, and an entire periphery of each of the recesses is
surrounded by the protrusions.
15 2. The panel according to claim 1, wherein when viewed from a front, the
protrusions, and the flat sections or the recesses are alternately arranged along a widthwise
direction and a lengthwise direction orthogonal to this widthwise direction.
3. The panel according to claim 1, wherein when viewed from a front, each of the
20 protrusions has a hexagonal shape, and each of the flat sections has a triangular shape.
4. __ The panel according to claim 1, wherein when viewed from a front, each of the
protrusions has a hexagonal shape, and each of the recesses has a triangular shape.
°25 5. The panel according to claim 1, wherein when viewed from a front, the
protrusions and the flat sections both have a quadrangular shape.
6. The panel according to claim 1, wherein when viewed from a front, the
protrusions and the recesses both have a quadrangular shape.
30
7. The panel according to any one of claim 3 through claim 6, wherein each corner
section of respective adjacent protrusions is connected via a bridge having a flat top upper
surface.
34
8. The panel according to claim 1, wherein when it comprises the protrusions and the
recesses:
a protrusion side inclined surface is formed on a peripheral portion of the
5 protrusions, and a recess side inclined surface is formed on a peripheral portion of the
recesses;
when the protrusion side inclined surface and the recess side inclined surface are,
viewed on a cross-section perpendicular to the reference surface, the protrusion side
inclined surface and the recess side inclined surface are linearly and continuously
10 connected; and
an inclination angle of the protrusion side inclined surface and an inclination
angle of the recess side inclined surface are same.
9. The panel according to claim 1, wherein when it comprises the protrusions and the
15 recesses:
planar shapes and planar dimensions of the protrusions and the recesses are same.
10. The panel according to claim 1, wherein when it comprises the protrusions and the
recesses:
20 a protruding dimension of the protrusions and a recessing dimension of the
recesses respectively in a direction perpendicular to the reference surface are same.
11. The panel according to claim 1, wherein a frame section is provided along a
periphery of a face material, which includes all of the protrusions, and the flat sections or
,25 the recesses.