Technical Field
[0001] The present invention relates to a badminton racket. In particular, the present invention
relates to improvements to the shaft of the racket.
Background Art
[0002] A badminton racket includes a frame, a string, and a shaft. The player shots a shuttlecock
with the racket. The shaft is deformed upon the shot.
[0003] Various attempts have been made to optimize the shaft deformation behavior.
Chinese Patent Publication No. 107115641 discloses a racket including a shaft including a bending portion having a small diameter.
Citation List
Patent Literature
Summary of Invention
Technical Problem
[0005] In a badminton game, the player performs various types of shots. The player performs
shots such as smash, lob, cut, and clear.
[0006] The smash is a shot aimed at causing the opponent player to fail to receive the shuttlecock.
For the smash, the player is required to have the skill to allow the shuttlecock to
fly at an intended height. When the player is one who frequently uses the smash, the
player wants to stabilize the trajectory of the shuttlecock in the smash.
[0007] In the smash, the shaft is significantly deflected in the in-plane direction and
in the out-of-plane direction. The player wants to stabilize the trajectory of the
shuttlecock also for shots which are other than the smash and in which the shaft is
deflected in both the in-plane and out-of-plane directions.
[0008] An object of the present invention is to provide a badminton racket suitable for
shots in which the shaft of the racket is significantly deflected in both the in-plane
and out-of-plane directions.
[0009] A badminton racket according to the present invention includes:
a grip;
a shaft having a portion inserted into the grip, the inserted portion including a
butt end of the shaft and a vicinity of the butt end; and
a frame attached to the shaft in a vicinity of a tip end of the shaft. A flexural
rigidity value EI(2) of the shaft at a second measurement point located at a distance
of 75 mm from the grip is greater than a flexural rigidity value EI(1) of the shaft
at a first measurement point located at a distance of 35 mm from the grip and a flexural
rigidity value EI(4) of the shaft at a fourth measurement point located at a distance
of 155 mm from the grip. A flexural rigidity value EI(3) of the shaft at a third measurement
point located at a distance of 115 mm from the grip is greater than the flexural rigidity
value EI(1) and the flexural rigidity value EI(4).
[0010] Preferably, a ratio (EI(2)/EI(1)) of the flexural rigidity value EI(2) to the flexural
rigidity value EI(1) is not less than 1.10. Preferably, a ratio (EI(2)/EI(4)) of the
flexural rigidity value EI(2) to the flexural rigidity value EI(4) is not less than
1.10.
[0011] Preferably, a ratio (EI(3)/EI(1)) of the flexural rigidity value EI(3) to the flexural
rigidity value EI(1) is not less than 1.10. Preferably, a ratio (EI(3)/EI(4)) of the
flexural rigidity value EI(3) to the flexural rigidity value EI(4) is not less than
1.10.
[0012] Preferably, a difference (EI(2) - EI(1)) between the flexural rigidity value EI(2)
and the flexural rigidity value EI(1) is not less than 0.50 Nm
2. Preferably, a difference (EI(2) - EI(4)) between the flexural rigidity value EI(2)
and the flexural rigidity value EI(4) is not less than 0.50 Nm
2.
[0013] Preferably, a difference (EI(3) - EI(1)) between the flexural rigidity value EI(3)
and the flexural rigidity value EI(1) is not less than 0.50 Nm
2. Preferably, a difference (EI(3) - EI(4)) between the flexural rigidity value EI(3)
and the flexural rigidity value EI(4) is not less than 0.50 Nm
2.
[0014] The shaft may have a hollow structure. Preferably, an inner diameter of the shaft
is substantially constant from the first measurement point to the fourth measurement
point.
[0015] Preferably, an outer diameter of the shaft is substantially constant from the first
measurement point to the fourth measurement point.
[0016] Preferably, a ratio (W2/W1) of a weight W2 of the shaft in a zone from the second
measurement point to the third measurement point to a weight W1 of the shaft in a
zone from the first measurement point to the second measurement point is not less
than 0.95 and not greater than 1.05. Preferably, a ratio (W2/W3) of the weight W2
of the shaft in the zone from the second measurement point to the third measurement
point to a weight W3 of the shaft in a zone from the third measurement point to the
fourth measurement point is not less than 0.95 and not greater than 1.05.
[0017] Preferably, the shaft includes a fiber-reinforced layer. The fiber-reinforced layer
is located in a zone including the second and third measurement points and not including
the first and fourth measurement points in an axial direction of the shaft. The fiber-reinforced
layer includes a plurality of reinforcing fibers oriented substantially in the axial
direction.
Advantageous Effects of Invention
[0018] A player using the badminton racket according to the present invention can easily
perform shots in which the shaft is significantly deflected in both the in-plane and
out-of-plane directions. The racket can contribute to winning badminton games.
Brief Description of Drawings
[0019]
FIG. 1 is a front view showing a badminton racket according to one embodiment of the
present invention.
FIG. 2 is a right side view showing the racket of FIG. 1.
FIG. 3 is an enlarged cross-sectional view showing a part of the shaft of the racket
of FIG. 1.
FIG. 4 is an enlarged cross-sectional view taken along the line IV-IV of FIG. 3.
FIG. 5 is a developed view showing prepregs for the shaft of the racket of FIG. 1.
FIG. 6 is a schematic diagram showing a method of measuring a flexural rigidity value
EI of the shaft of the racket of FIG. 1.
FIG. 7 is a graph showing a flexural rigidity distribution of the shaft of the racket
of FIG. 1.
FIG. 8 is a graph showing a flexural rigidity distribution of a shaft of a racket
according to Comparative Example.
FIG. 9 is a graph showing a flexural rigidity distribution of a shaft of a racket
according to Example 2 of the present invention.
FIG. 10 is a graph showing a flexural rigidity distribution of a shaft of a racket
according to Example 3 of the present invention.
Description of Embodiments
[0020] The following will describe in detail the present invention based on preferred embodiments
with appropriate reference to the drawings.
[0021] FIGS. 1 and 2 show a badminton racket 2. The racket 2 includes a shaft 4, a frame
6, a grip 8, and a string 10. In FIGS. 1 and 2, the arrow X represents the width direction,
the arrow Y represents the axial direction, and the arrow Z represents the thickness
direction.
[0022] The shaft 4 includes a butt portion 12, a middle portion 14, and a tip portion 16.
The shaft 4 further includes a butt end 18 and a tip end 20. The shaft 4 is hollow.
The shaft 4 is formed from a fiber-reinforced resin. The fiber-reinforced resin includes
a resin matrix and a large number of reinforcing fibers. The shaft 4 includes a plurality
of fiber-reinforced layers (which will be described in detail later).
[0023] Examples of the base resin of the shaft 4 include: thermosetting resins such as epoxy
resin, bismaleimide resin, polyimide, and phenol resin; and thermoplastic resins such
as polyether ether ketone, polyethersulfone, polyetherimide, polyphenylene sulfide,
polyamide, and polypropylene. Epoxy resin is particularly suitable as the resin of
the shaft 4.
[0024] Examples of the reinforcing fibers of the shaft 4 include carbon fibers, metal fibers,
glass fibers, and aramid fibers. Carbon fibers are particularly suitable as the fibers
of the shaft 4. Different kinds of fibers may be used in combination.
[0025] The frame 6 is ring-shaped and hollow. The frame 6 is formed from a fiber-reinforced
resin. Any of the resins as mentioned for the base resin of the shaft 4 can be used
as the base resin of the fiber-reinforced resin. Any of the fibers as mentioned for
the reinforcing fibers of the shaft 4 can be used as the reinforcing fibers of the
fiber-reinforced resin. The frame 6 is firmly joined to the tip end 20 of the shaft
4.
[0026] The grip 8 includes a hole 21 extending in the axial direction (Y direction). The
butt end 18 and its vicinity of the shaft 4 are inserted into the hole 21. The inner
peripheral surface of the hole 21 and the outer peripheral surface of the shaft 4
are bonded with an adhesive.
[0027] The string 10 is strung on the frame 6. The string 10 is placed along the width direction
X and the axial direction Y. The portions of the string 10 that extend along the width
direction X are referred to as transverse threads 22. The portions of the string 10
that extend along the axial direction Y are referred to as longitudinal threads 24.
The plurality of transverse threads 22 and the plurality of longitudinal threads 24
form a face 26. The face 26 extends generally along the X-Y plane.
[0028] In FIG. 1, the reference sign L represents the length of the exposed portion of the
shaft 4. The length L is usually not less than 150 mm and not greater than 210 mm.
[0029] FIG. 3 is an enlarged cross-sectional view showing a part of the shaft 4 of the racket
2 of FIG. 1. FIG. 4 is an enlarged cross-sectional view taken along the line IV-IV
of FIG. 3. As previously stated, the shaft 4 is hollow. As shown in FIG. 4, the cross-section
of the shaft 4 is circular. In other words, the shaft 4 is in the shape of a cylindrical
tube.
[0030] In FIGS. 3 and 4, the arrow Di represents the inner diameter of the shaft 4. The
inner diameter Di is typically not less than 3 mm and not greater than 10 mm. In FIGS.
3 and 4, the arrow Do represents the outer diameter of the shaft 4. The outer diameter
Do is typically not less than 5 mm and not greater than 15 mm.
[0031] As previously stated, the shaft 4 is formed from a fiber-reinforced resin. The shaft
4 can be produced by a sheet winding method. In the sheet winding method, a plurality
of prepregs are wound on a mandrel. Each prepreg includes a plurality of fibers and
a matrix resin. The matrix resin is uncured.
[0032] FIG. 5 is a developed view showing a prepreg arrangement for the shaft 4 of the racket
2 of FIG. 1. The prepreg arrangement includes 13 prepregs (sheets). Specifically,
the prepreg arrangement includes a first sheet S1, a second sheet S2, a third sheet
S3, a fourth sheet S4, a fifth sheet S5, a sixth sheet S6, a seventh sheet S7, an
eighth sheet S8, a ninth sheet S9, a tenth sheet S10, an eleventh sheet 11, a twelfth
sheet 12, and a thirteenth sheet 13. A plurality of fiber-reinforced layers are formed
from the prepregs by a method described later. Specifically, a first fiber-reinforced
layer is formed from the first sheet S1, a second fiber-reinforced layer is formed
from the second sheet S2, a third fiber-reinforced layer is formed from the third
sheet S3, a fourth fiber-reinforced layer is formed from the fourth sheet S4, a fifth
fiber-reinforced layer is formed from the fifth sheet S5, a sixth fiber-reinforced
layer is formed from the sixth sheet S6, a seventh fiber-reinforced layer is formed
from the seventh sheet S7, an eighth fiber-reinforced layer is formed from the eighth
sheet S8, a ninth fiber-reinforced layer is formed from the ninth sheet S9, a tenth
fiber-reinforced layer is formed from the tenth sheet S10, an eleventh fiber-reinforced
layer is formed from the eleventh sheet S11, a twelfth fiber-reinforced layer is formed
from the twelfth sheet S12, and a thirteenth fiber-reinforced layer is formed from
the thirteenth sheet S13.
[0033] The left-right direction in FIG. 5 is the axial direction of the shaft 4. In FIG.
5, the locations of the butt end 18 and tip end 20 are indicated by arrows. In FIG.
5, the locations of four measurement points P1, P2, P3, and P4 described later are
also indicated by arrows. In FIG. 5, the reduction scale in the left-right direction
(axial direction) is not equal to the reduction scale in the up-down direction.
[0034] The first sheet S1 extends over the entirety of the shaft 4. The first sheet S1 is
generally rectangular. The first sheet S1 includes a plurality of carbon fibers arranged
in parallel. The direction in which each of the carbon fibers extends is inclined
with respect to the axial direction. The direction in which each carbon fiber extends
forms an angle of not less than 30° and not greater than 60° with the axial direction.
In the present embodiment, the angle is 45°. The first sheet S1 is 70 mm wide and
340 mm long.
[0035] The second sheet S2 extends over the entirety of the shaft 4. The second sheet S2
is generally rectangular. The second sheet S2 includes a plurality of carbon fibers
arranged in parallel. The direction in which each of the carbon fibers extends is
inclined with respect to the axial direction. The direction in which each carbon fiber
extends forms an angle of not less than -60° and not greater than -30° with the axial
direction. In the present embodiment, the angle is -45°. The second sheet S2 is 70
mm wide and 340 mm long.
[0036] The direction of the inclination of the carbon fibers in the second sheet S2 is opposite
to the direction of the inclination of the carbon fibers in the first sheet S1. Thus,
the direction of the inclination of the carbon fibers in the second fiber-reinforced
layer is opposite to the direction of the inclination of the carbon fibers in the
first fiber-reinforced layer. In the shaft 4, a bias structure is achieved by the
first and second fiber-reinforced layers. The first and second fiber-reinforced layers
contribute to the flexural rigidity and torsional rigidity of the shaft 4. The first
and second fiber-reinforced layers particularly contribute to the torsional rigidity
of the shaft 4.
[0037] The third sheet S3 is localized towards the tip end 20 of the shaft 4. The third
sheet S3 is generally trapezoidal. The third sheet S3 includes a plurality of carbon
fibers arranged in parallel. The direction in which each of the carbon fibers extends
is inclined with respect to the axial direction. The direction in which each carbon
fiber extends forms an angle of not less than 30° and not greater than 60° with the
axial direction. In the present embodiment, the angle is 45°. The third sheet S3 is
35 mm wide, 105 mm long on the upper base, and 115 mm long on the lower base.
[0038] The fourth sheet S4 is localized towards the tip end 20 of the shaft 4. In the axial
direction, the location of the fourth sheet S4 is the same as the location of the
third sheet S3. The fourth sheet S4 is generally trapezoidal. The fourth sheet S4
includes a plurality of carbon fibers arranged in parallel. The direction in which
each of the carbon fibers extends is inclined with respect to the axial direction.
The direction in which each carbon fiber extends forms an angle of not less than -60°
and not greater than -30° with the axial direction. In the present embodiment, the
angle is -45°. The fourth sheet S4 is 35 mm wide, 105 mm long on the upper base, and
115 mm long on the lower base.
[0039] The direction of the inclination of the carbon fibers in the fourth sheet S4 is opposite
to the direction of the inclination of the carbon fibers in the third sheet S3. Thus,
the direction of the inclination of the carbon fibers in the fourth fiber-reinforced
layer is opposite to the direction of the inclination of the carbon fibers in the
third fiber-reinforced layer. In the shaft 4, a bias structure is achieved by the
third and fourth fiber-reinforced layers. The third and fourth fiber-reinforced layers
contribute to the flexural rigidity and torsional rigidity of the middle portion 14
and tip portion 16. The third and fourth fiber-reinforced layers particularly contribute
to the torsional rigidity of the middle portion 14 and tip portion 16.
[0040] The fifth sheet S5 is localized towards the butt end 18 of the shaft 4. The fifth
sheet S5 is generally trapezoidal. The fifth sheet S5 includes a plurality of carbon
fibers arranged in parallel. The direction in which each of the carbon fibers extends
is inclined with respect to the axial direction. The direction in which each carbon
fiber extends forms an angle of not less than 30° and not greater than 60° with the
axial direction. In the present embodiment, the angle is 45°. The fifth sheet S5 is
35 mm wide, 155 mm long on the upper base, and 165 mm long on the lower base.
[0041] The sixth sheet S6 is localized towards the butt end 18 of the shaft 4. In the axial
direction, the location of the sixth sheet S6 is the same as the location of the fifth
sheet S5. The sixth sheet S6 is generally trapezoidal. The sixth sheet S6 includes
a plurality of carbon fibers arranged in parallel. The direction in which each of
the carbon fibers extends is inclined with respect to the axial direction. The direction
in which each carbon fiber extends forms an angle of not less than -60° and not greater
than -30° with the axial direction. In the present embodiment, the angle is -45°.
The sixth sheet S6 is 35 mm wide, 155 mm long on the upper base, and 165 mm long on
the lower base.
[0042] The direction of the inclination of the carbon fibers in the sixth sheet S6 is opposite
to the direction of the inclination of the carbon fibers in the fifth sheet S5. Thus,
the direction of the inclination of the carbon fibers in the sixth fiber-reinforced
layer is opposite to the direction of the inclination of the carbon fibers in the
fifth fiber-reinforced layer. In the shaft 4, a bias structure is achieved by the
fifth and sixth fiber-reinforced layers. The fifth and sixth fiber-reinforced layers
contribute to the flexural rigidity and torsional rigidity of the butt portion 12
and middle portion 14. The fifth and sixth fiber-reinforced layers particularly contribute
to the torsional rigidity of the butt portion 12 and middle portion 14.
[0043] The seventh sheet S7 is localized in the middle portion 14 of the shaft 4. The seventh
sheet S7 is generally in the shape of a parallelogram. The seventh sheet S7 includes
a plurality of carbon fibers arranged in parallel. The direction in which each of
the carbon fibers extends is the same as the axial direction. In other words, the
direction in which each carbon fiber extends forms an angle of substantially 0° with
the axial direction. The seventh sheet S7 is 70 mm wide and 70 mm long.
[0044] As stated above, the carbon fibers contained in the seventh sheet S7 are oriented
substantially in the axial direction. Thus, the carbon fibers are oriented substantially
in the axial direction also in the seventh fiber-reinforced layer. The structure in
which the carbon fibers are oriented substantially in the axial direction is herein
referred to as a "straight structure". The seventh fiber-reinforced layer has a straight
structure. Upon deflection of the shaft 4, the carbon fibers are subjected to a strong
tension. The tension acts to prevent further deflection of the shaft 4. In other words,
the carbon fibers contribute to the flexural rigidity of the shaft 4. As shown in
FIG. 5, the seventh sheet S7 is located in a zone including the second and third measurement
points P2 and P3 and not including the first and fourth measurement points P1 and
P4 in the axial direction. Thus, the seventh fiber-reinforced layer is also located
in the zone including the second and third measurement points P2 and P3 and not including
the first and fourth measurement points P1 and P4 in the axial direction. The seventh
fiber-reinforced layer particularly contributes to the flexural rigidity of the middle
portion 14.
[0045] The eighth sheet S8 is localized towards the tip end 20 of the shaft 4. The eighth
sheet S8 is generally trapezoidal. The eighth sheet S8 includes a plurality of carbon
fibers arranged in parallel. The direction in which each of the carbon fibers extends
is inclined with respect to the axial direction. The direction in which each carbon
fiber extends forms an angle of not less than 30° and not greater than 60° with the
axial direction. In the present embodiment, the angle is 45°. The eighth sheet S8
is 35 mm wide, 85 mm long on the upper base, and 95 mm long on the lower base.
[0046] The ninth sheet S9 is localized towards the tip end 20 of the shaft 4. In the axial
direction, the location of the ninth sheet S9 is the same as the location of the eighth
sheet S8. The ninth sheet S9 is generally trapezoidal. The ninth sheet S9 includes
a plurality of carbon fibers arranged in parallel. The direction in which each of
the carbon fibers extends is inclined with respect to the axial direction. The direction
in which each carbon fiber extends forms an angle of not less than -60° and not greater
than -30° with the axial direction. In the present embodiment, the angle is -45°.
The ninth sheet S9 is 35 mm wide, 85 mm long on the upper base, and 95 mm long on
the lower base.
[0047] The direction of the inclination of the carbon fibers in the ninth sheet S9 is opposite
to the direction of the inclination of the carbon fibers in the eighth sheet S8. Thus,
the direction of the inclination of the carbon fibers in the ninth fiber-reinforced
layer is opposite to the direction of the inclination of the carbon fibers in the
eighth fiber-reinforced layer. In the shaft 4, a bias structure is achieved by the
eighth and ninth fiber-reinforced layers. The eighth and ninth fiber-reinforced layers
contribute to the flexural rigidity and torsional rigidity of the tip portion 16.
The eighth and ninth fiber-reinforced layers particularly contribute to the torsional
rigidity of the tip portion 16.
[0048] The tenth sheet S10 is localized towards the butt end 18 of the shaft 4. The tenth
sheet S10 is generally trapezoidal. The tenth sheet S10 includes a plurality of carbon
fibers arranged in parallel. The direction in which each of the carbon fibers extends
is inclined with respect to the axial direction. The direction in which each carbon
fiber extends forms an angle of not less than 30° and not greater than 60° with the
axial direction. In the present embodiment, the angle is 45°. The tenth sheet S10
is 35 mm wide, 135 mm long on the upper base, and 145 mm long on the lower base.
[0049] The eleventh sheet S11 is localized towards the butt end 18 of the shaft 4. In the
axial direction, the location of the eleventh sheet S11 is the same as the location
of the tenth sheet S10. The eleventh sheet S11 is generally trapezoidal. The eleventh
sheet S11 includes a plurality of carbon fibers arranged in parallel. The direction
in which each of the carbon fibers extends is inclined with respect to the axial direction.
The direction in which each carbon fiber extends forms an angle of not less than -60°
and not greater than -30° with the axial direction. In the present embodiment, the
angle is -45°. The eleventh sheet S11 is 35 mm wide, 135 mm long on the upper base,
and 145 mm long on the lower base.
[0050] The direction of the inclination of the carbon fibers in the eleventh sheet S11 is
opposite to the direction of the inclination of the carbon fibers in the tenth sheet
S10. Thus, the direction of the inclination of the carbon fibers in the eleventh fiber-reinforced
layer is opposite to the direction of the inclination of the carbon fibers in the
tenth fiber-reinforced layer. In the shaft 4, a bias structure is achieved by the
tenth and eleventh fiber-reinforced layers. The tenth and eleventh fiber-reinforced
layers contribute to the flexural rigidity and torsional rigidity of the butt portion
12. The tenth and eleventh fiber-reinforced layers particularly contribute to the
torsional rigidity of the butt portion 12.
[0051] The twelfth sheet S12 is localized in the middle portion 14 of the shaft 4. The twelfth
sheet S12 is generally in the shape of a parallelogram. The twelfth sheet S12 includes
a plurality of carbon fibers arranged in parallel. The direction in which each of
the carbon fibers extends is the same as the axial direction. In other words, the
direction in which each carbon fiber extends forms an angle of substantially 0° with
the axial direction. The twelfth sheet S12 is 70 mm wide and 110 mm long.
[0052] As stated above, the carbon fibers contained in the twelfth sheet S12 are oriented
substantially in the axial direction. Thus, the carbon fibers are oriented substantially
in the axial direction also in the twelfth fiber-reinforced layer. The twelfth fiber-reinforced
layer has a straight structure. Upon deflection of the shaft 4, the carbon fibers
are subjected to a strong tension. The tension acts to prevent further deflection
of the shaft 4. In other words, the carbon fibers contribute to the flexural rigidity
of the shaft 4. As shown in FIG. 5, the twelfth sheet S12 is located in a zone including
the second and third measurement points P2 and P3 and not including the first and
fourth measurement points P1 and P4 in the axial direction. Thus, the twelfth fiber-reinforced
layer is also located in the zone including the second and third measurement points
P2 and P3 and not including the first and fourth measurement points P1 and P4 in the
axial direction. The twelfth fiber-reinforced layer particularly contributes to the
flexural rigidity of the middle portion 14.
[0053] The thirteenth sheet S13 extends over the entirety of the shaft 4. The thirteenth
sheet S13 is generally rectangular. The thirteenth sheet S13 includes a plurality
of carbon fibers arranged in parallel. The direction in which each of the carbon fibers
extends is the same as the axial direction. In other words, the direction in which
each carbon fiber extends forms an angle of substantially 0° with the axial direction.
The thirteenth sheet S13 is 40 mm wide and 340 mm long.
[0054] As stated above, the carbon fibers contained in the thirteenth sheet S13 are oriented
substantially in the axial direction. Thus, the carbon fibers are oriented substantially
in the axial direction also in the thirteenth fiber-reinforced layer. The thirteenth
fiber-reinforced layer has a straight structure. Upon deflection of the shaft 4, the
carbon fibers are subjected to a strong tension. The tension acts to prevent further
deflection of the shaft 4. In other words, the carbon fibers contribute to the flexural
rigidity of the shaft 4.
[0055] In the shaft 4, the first, second, and thirteenth fiber-reinforced layers extend
from the butt end 18 to the tip end 20. These fiber-reinforced layers can contribute
to the durability of the shaft 4.
[0056] In production of the shaft 4, the sheets shown in FIG. 5 are sequentially wound on
a mandrel. A stack of the first and second sheets S1 and S2 may be wound on the mandrel.
A stack of the third and fourth sheets S3 and S4 may be wound on the mandrel. A stack
of the fifth and sixth sheets S5 and S6 may be wound on the mandrel. A stack of the
eighth and ninth sheets S8 and S9 may be wound on the mandrel. A stack of the tenth
and eleventh sheets S10 and S11 may be wound on the mandrel. In addition to these
sheets, another sheet may be wound on the mandrel. An example of the other sheet is
a sheet containing glass fibers.
[0057] A wrapping tape is further wound on the above sheets. The mandrel, prepregs (sheets
S1 to S13), and wrapping tape are heated by means such as an oven. The heating fluidizes
the matrix resin. Further heating induces a curing reaction of the resin, as a result
of which a shaped product is obtained. The shaped product is subjected to various
processes such as end face machining, polishing, and painting, and thus the shaft
4 is completed.
[0058] FIG. 6 is a schematic diagram showing a method of measuring a flexural rigidity value
EI of the shaft 4 of the racket 2 of FIG. 1. FIG. 6 shows the measurement at a measurement
point P located at a distance L1 from the grip 8. In this measurement, the shaft 4
is supported from below at first and second support points 28 and 30. The distance
from the measurement point P to the first support point 28 is 30 mm. The distance
from the measurement point P to the second support point 30 is 30 mm. The measurement
is performed using a universal testing machine (manufactured by INTESCO Co., Ltd.
under the product name "2020"). The testing machine includes an indenter 32. The indenter
32 is in the shape of a hemisphere. The radius of curvature of the hemisphere is 20
mm. The indenter 32 gradually descends at a speed of 2 mm/min. The indenter 32 comes
into contact with the measurement point P and presses the shaft 4. The pressing causes
gradual deflection of the shaft 4. The amount of deflection B (m) of the shaft 4 is
measured at the moment when the load applied to the shaft 4 by the indenter 32 reaches
100 N. The amount of deflection B is substituted into the following equation to calculate
the flexural rigidity value EI (Nm
2).

[0059] In this equation, F is the load (N), L2 is the distance (m) between the two support
points, and B is the amount of deflection (m). In the present embodiment, the load
F is 100 N, and the distance L2 is 0.06 m. The flexural rigidity value EI of the shaft
4 may be measured in the absence of the grip 8 and frame 6.
[0060] In the present embodiment, the flexural rigidity values EI are measured at the first,
second, third, and fourth measurement points P1, P2, P3, and P4. The distance L1 from
the grip 8 to each measurement point is as follows.
First measurement point P1: 35 mm
Second measurement point P2: 75 mm
Third measurement point P3: 115 mm
Fourth measurement point P4: 155 mm
[0061] In the shaft 4 having the prepreg arrangement shown in FIG. 5, the flexural rigidity
value EI(1) at the first measurement point P1 is 3.82 Nm
2, the flexural rigidity value EI(2) at the second measurement point P2 is 5.51 Nm
2, the flexural rigidity value EI(3) at the third measurement point P3 is 5.74 Nm
2, and the flexural rigidity value EI(4) at the fourth measurement point P4 is 3.58
Nm
2. The flexural rigidity distribution of the shaft 4 is shown in the graph of FIG.
7.
[0062] In the shaft 4, the flexural rigidity value EI(2) at the second measurement point
P2 is greater than the flexural rigidity value EI(1) at the first measurement point
P1 and the flexural rigidity value EI(4) at the fourth measurement point P4. Furthermore,
in the shaft 4, the flexural rigidity value EI(3) at the third measurement point P3
is greater than the flexural rigidity value EI(1) at the first measurement point P1
and the flexural rigidity value EI(4) at the fourth measurement point P4. In the shaft
4, the following four inequality relations are established.
EI(2) > EI(1)
EI(2) > EI(4)
EI(3) > EI(1)
EI(3) > EI(4)
[0063] As shown in FIG. 7, the shaft 4 has a rigidity distribution with an upward-convex
profile.
[0064] As previously stated, the seventh fiber-reinforced layer is located in a zone including
the second and third measurement points P2 and P3 and not including the first and
fourth measurement points P1 and P4 in the axial direction. The twelfth fiber-reinforced
layer is located in a zone including the second and third measurement points P2 and
P3 and not including the first and fourth measurement points P1 and P4 in the axial
direction. There is no fiber-reinforced layer having a straight structure and located
in a zone including the first measurement point P1 and not including the second measurement
point P2. There is no fiber-reinforced layer having a straight structure and located
in a zone not including the third measurement point P3 but including the fourth measurement
point P4. This layer structure can attain a flexural rigidity distribution with an
upward-convex profile.
[0065] Another layer structure can also attain a flexural rigidity distribution with an
upward-convex profile. Local presence of a fiber-reinforced layer having a straight
structure in the middle portion 14 can result in a flexural rigidity distribution
with an upward-convex profile.
[0066] According to the findings obtained by the present inventors, the shaft 4 having a
flexural rigidity distribution with an upward-convex profile is suitable for the smash.
The player who performs the smash using the racket 2 can easily achieve an intended
trajectory of the shuttlecock. With the use of the racket 2, the variation in the
height of the trajectory of the shuttlecock in the smash is small.
[0067] The reason why the racket 2 according to the present invention is suitable for the
smash is that the flexural rigidity distribution shown in FIG. 7 matches the deformation
behavior of the shaft 4 in the smash. In the smash, the shaft 4 is significantly deflected
in the in-plane direction (direction along the X-Y plane) and in the out-of-plane
direction (Z direction). The racket 2 according to the present invention is suitable
also for shots which are other than the smash and in which the shaft 4 is significantly
deflected in both the in-plane and out-of-plane directions.
[0068] The flexural rigidity distribution can be adjusted by changing the location of the
prepregs, the number of the prepregs, the width of the prepregs, the length of the
prepregs, the angle of the fibers, the weight per unit area of the fibers, and the
elastic modulus of the fibers.
[0069] From the viewpoint of the stability of the trajectory, the ratio (EI(2)/EI(1)) of
the flexural rigidity value EI(2) to the flexural rigidity value EI(1) is preferably
not less than 1.10, more preferably not less than 1.22, and particularly preferably
not less than 1.30. From the viewpoint of ease of production of the shaft 4, the ratio
is preferably not greater than 2.50.
[0070] From the viewpoint of the stability of the trajectory, the ratio (EI(2)/EI(4)) of
the flexural rigidity value EI(2) to the flexural rigidity value EI(4) is preferably
not less than 1.10, more preferably not less than 1.33, and particularly preferably
not less than 1.45. From the viewpoint of ease of production of the shaft 4, the ratio
is preferably not greater than 3.00.
[0071] From the viewpoint of the stability of the trajectory, the ratio (EI(3)/EI(1)) of
the flexural rigidity value EI(3) to the flexural rigidity value EI(1) is preferably
not less than 1.10, more preferably not less than 1.24, and particularly preferably
not less than 1.45. From the viewpoint of ease of production of the shaft 4, the ratio
is preferably not greater than 3.00.
[0072] From the viewpoint of the stability of the trajectory, the ratio (EI(3)/EI(4)) of
the flexural rigidity value EI(3) to the flexural rigidity value EI(4) is preferably
not less than 1.10, more preferably not less than 1.35, and particularly preferably
not less than 1.50. From the viewpoint of ease of production of the shaft 4, the ratio
is preferably not greater than 3.00.
[0073] The ratio (EI(1)/EI(4)) is preferably not less than 0.5 and not greater than 2.0.
The ratio (EI(2)/EI(3)) is preferably not less than 0.5 and not greater than 2.0.
[0074] From the viewpoint of the stability of the trajectory, the difference (EI(2) - EI(1))
between the flexural rigidity value EI(2) and the flexural rigidity value EI(1) is
preferably not less than 0.50 Nm
2, more preferably not less than 0.91 Nm
2, and particularly preferably not less than 1.30 Nm
2. From the viewpoint of ease of production of the shaft 4, the difference is preferably
not greater than 3.5 Nm
2.
[0075] From the viewpoint of the stability of the trajectory, the difference (EI(2) - EI(4))
between the flexural rigidity value EI(2) and the flexural rigidity value EI(4) is
preferably not less than 0.50 Nm
2, more preferably not less than 1.24 Nm
2, and particularly preferably not less than 1.50 Nm
2. From the viewpoint of ease of production of the shaft 4, the difference is preferably
not greater than 3.5 Nm
2.
[0076] From the viewpoint of the stability of the trajectory, the difference (EI(3) - EI(1))
between the flexural rigidity value EI(3) and the flexural rigidity value EI(1) is
preferably not less than 0.50 Nm
2, more preferably not less than 0.99 Nm
2, and particularly preferably not less than 1.50 Nm
2. From the viewpoint of ease of production of the shaft 4, the difference is preferably
not greater than 3.5 Nm
2.
[0077] From the viewpoint of the stability of the trajectory, the difference (EI(3) - EI(4))
between the flexural rigidity value EI(3) and the flexural rigidity value EI(4) is
preferably not less than 0.50 Nm
2, more preferably not less than 1.32 Nm
2, and particularly preferably not less than 1.70 Nm
2. From the viewpoint of ease of production of the shaft 4, the difference is preferably
not greater than 3.5 Nm
2.
[0078] Preferred ranges of the flexural rigidity values EI are as follows.
EI(1): Not less than 2.0 Nm2 and not greater than 6.0 Nm2
EI(2): Not less than 3.5 Nm2 and not greater than 7.5 Nm2
EI(3): Not less than 3.5 Nm2 and not greater than 7.5 Nm2
EI(4): Not less than 2.0 Nm2 and not greater than 6.0 Nm2
[0079] FIG. 3 shows the first, second, third, and fourth measurement points P1, P2, P3,
and P4. As is clear from FIG. 3, the inner diameter Di of the shaft 4 is substantially
constant from the first measurement point P1 to the fourth measurement point P4. The
shaft 4 can be produced using a mandrel having a simple shape. In the production of
the shaft 4, the winding of the prepregs is easy. The shaft 4 may have a slight variation
in the inner diameter Di due to, for example, production error. The ratio (Di1/Di2)
of the maximum inner diameter Di1 to the minimum inner diameter Di2 in the zone from
the first measurement point P1 to the fourth measurement point P4 is preferably not
greater than 1.10, more preferably not greater than 1.05, and particularly preferably
not greater than 1.03. The ratio (Di1/Di2) is ideally 1.00.
[0080] As is clear from FIG. 3, the outer diameter Do of the shaft 4 is substantially constant
from the first measurement point P1 to the fourth measurement point P4. The shaft
4 can be produced using a mandrel having a simple shape. In the production of the
shaft 4, the winding of the prepregs is easy. The shaft 4 may have a slight variation
in the outer diameter Do due to, for example, production error. The ratio (Do1/Do2)
of the maximum outer diameter Do1 to the minimum outer diameter Do2 in the zone from
the first measurement point P1 to the fourth measurement point P4 is preferably not
greater than 1.10, more preferably not greater than 1.05, and particularly preferably
not greater than 1.03. The ratio (Do1/Di2) is ideally 1.00.
[0081] The ratio (W2/W1) of the weight W2 of the shaft 4 in the zone from the second measurement
point P2 to the second measurement point P3 to the weight W1 of the shaft 4 in the
zone from the first measurement point P1 to the second measurement point P2 is preferably
not less than 0.95 and not greater than 1.05. Furthermore, the ratio (W2/W3) of the
weight W2 to the weight W3 of the shaft 4 in the zone from the third measurement point
P3 to the fourth measurement point P4 is preferably not less than 0.95 and not greater
than 1.05. Such a shaft 4 is free from a significant local increase in weight. The
player can swing the racket 2 including the shaft 4 without feeling discomfort. From
this viewpoint, the ratios (W2/W1) and (W2/W3) are more preferably not less than 0.97
and not greater than 1.03 and particularly preferably not less than 0.98 and not greater
than 1.02.
[0082] In the shaft 4, the flexural rigidity distribution is not adjusted by thickness adjustment.
In the shaft 4, the flexural rigidity distribution is not adjusted by opening formation.
The shaft 4 is less likely to suffer stress concentration. The shaft 4 has excellent
durability.
Examples
[0083] Hereinafter, the effect of the present invention will be demonstrated by examples.
The present invention should not be restrictively interpreted based on the description
of the examples.
[Example 1]
[0084] A badminton racket as shown in FIGS. 1 to 6 was produced. The flexural rigidity values
EI of the racket are shown in Table 1 below and in FIG. 7.
[Examples 2 and 3 and Comparative Example]
[0085] Badminton rackets of Examples 2 and 3 and Comparative Example were obtained in the
same manner as the badminton racket of Example 1, except for changing the prepreg
arrangement. The flexural rigidity values EI of the rackets are shown in Table 1 below
and in FIGS. 8 to 10.
[Practical Test]
[0086] A shuttlecock was launched by a launching machine. A player was caused to perform
smash on the shuttlecock, and a video image of the trajectory of the shuttlecock was
captured. The image was analyzed to measure the height at which the shuttlecock passed
above the net. The measurement was conducted six times, and an average height Hav,
a maximum height Hmax, and a minimum height Hmin were determined. The results are
shown in Table 1 below.
[Table 1]
[0087]
Table 1 Evaluation Results
|
Comparative Example |
Example 2 |
Example 1 |
Example 3 |
Flexural rigidity distribution |
FIG. 8 |
FIG. 9 |
FIG. 7 |
FIG. 10 |
EI(1) (Nm2) |
4.36 |
4.11 |
3.82 |
3.60 |
EI(2) (Nm2) |
4.45 |
5.02 |
5.51 |
5.87 |
EI(3) (Nm2) |
4.36 |
5.10 |
5.74 |
6.35 |
EI(4) (Nm2) |
4.08 |
3.78 |
3.58 |
3.39 |
EI(2)/EI(1) |
1.02 |
1.22 |
1.44 |
1.63 |
EI(3)/EI(1) |
1.00 |
1.24 |
1.50 |
1.76 |
EI(2)/EI(4) |
1.09 |
1.33 |
1.54 |
1.73 |
EI(3)/EI(4) |
1.07 |
1.35 |
1.60 |
1.87 |
EI(2) - EI(1) (Nm2) |
0.09 |
0.91 |
1.69 |
2.27 |
EI(3) - EI(1) (Nm2) |
0.00 |
0.99 |
1.92 |
2.75 |
EI(2) - EI(4) (Nm2) |
0.37 |
1.24 |
1.93 |
2.48 |
EI(3) - EI(4) (Nm2) |
0.28 |
1.32 |
2.16 |
2.96 |
Hmax (m) |
1.76 |
1.60 |
1.52 |
1.45 |
Hmin (m) |
1.41 |
1.41 |
1.39 |
1.38 |
Hmax - Hmin (m) |
0.35 |
0.19 |
0.13 |
0.07 |
[0088] As is clear from Table 1, the trajectory of the shuttlecock in the smash is stable
when any of the badminton rackets of Examples is used. The evaluation results demonstrate
the superiority of the present invention.
Industrial Applicability
[0089] The badminton racket according to the present invention is suitable for players who
play in a style involving frequent use of smash. The racket is suitable also for players
who play in other styles.
Reference Signs List
[0090]
- 2
- badminton racket
- 4
- shaft
- 6
- frame
- 8
- grip
- 10
- string
- 12
- butt portion
- 14
- middle portion
- 16
- tip portion
- 18
- butt end
- 20
- tip end
- 26
- face
- S1
- first sheet
- S2
- second sheet
- S3
- third sheet
- S4
- fourth sheet
- S5
- fifth sheet
- S6
- sixth sheet
- S7
- seventh sheet
- S8
- eighth sheet