Technical Field
[0001] The present invention generally relates to an iron golf club head, an iron golf club
and an iron golf club set. Specifically, it relates to an iron golf club head, an
iron golf club and an iron golf club set efficiently reducing dispersion of carries
at the time of hitting a ball.
Background Art
[0002] A golf club head taking a momental ellipsoid into consideration is described in Japanese
Patent Laying-Open No. 5-57034. In the golf club head described in this gazette, that
increasing weight distribution in the directions of principal axes of inertia and
suppressing increase of the weight of the golf club head to the minimum is described.
[0003] In Japanese Patent Laying-Open No. 9-149954, there is disclosed a golf club head
regulating angles at the time of projecting principal axes of inertia on a plane and
improving stability of a carry and a flying direction.
[0004] The object of an iron golf club is to reliably capture a carry and a direction of
a ball aimed at by the hitter. When the direction and the carry of the ball are instabilized
due to dispersion of hitting point positions, therefore, it is unpreferable for making
a score.
[0005] Accordingly, the present invention aims at providing an iron golf club head, an iron
golf club and an iron golf club set in which a carry and directivity are stable.
Disclosure of Invention
[0006] In the prior art, no consideration is made on an angle formed by a principal axis
of inertia and a normal vector of a face plane.
[0007] A moment of inertia enlarges with respect to a hitting direction and dispersion of
carries at the time of hitting a ball can be efficiently reduced by expressing a moment
of inertia of a golf club head having a complicated shape by an equivalent momental
ellipsoid and largely setting an angle formed by its principal axis of inertia and
a normal vector of a face plane.
[0008] For an iron golf club head generally used at present, however, the angle formed by
the principal axis of inertia and the normal vector of the face plane is not taken
into consideration although a moment of inertia about one axis or an angle of projection
of the principal axis of inertia is taken into consideration.
[0009] In general, the normal vector is a vector indicating a direction perpendicular to
a certain plane, and the inner product of a vector included in the plane and this
normal vector becomes zero.
[0010] The length of a principal axis of a momental ellipsoid is expressed by the inverse
of the square root of the magnitude of a moment of inertia about the axis. In other
words, the moment of inertia enlarges as the momental ellipsoid is small.
[0011] The magnitude of the moment of inertia in the case of receiving force from one direction
can be expressed by the area of a cut ellipse when cut along a plane, passing through
the center of gravity of the momental ellipsoid, rendering the direction a normal
vector.
[0012] In other words, the moment of inertia enlarges as this area is small.
[0013] In order to reduce this area, an angle formed by such a principal axis that a moment
of inertia about the principal axis of inertia is maximized among three principal
axes of inertia and a normal vector of a contact surface at the centroid (center of
a face plane) of the face plane must be enlarged.
[0014] In other words, the moment of inertia with respect to a direction to which force
is applied enlarges, and hence it is possible to capture the carry and the direction
of the ball aimed at by the hitter even if a hitting position is somewhat dispersed.
Thus, the present invention can provide an iron golf club head in which a carry and
directivity are stable by largely setting the angle formed by the principal axis of
inertia of the iron golf club head and the normal vector of the face plane.
[0015] The inventors have made various studies as to the carries and flying directions of
golf clubs, to consequently obtain the following conclusion. In other words, while
a certain degree of improvement is made also in the aforementioned prior art, it has
been proved that more efficient improvement is enabled not by projecting a momental
ellipsoid on a plane but by three-dimensionally capturing the same and specifying
what kind of inclination may be provided on which axis of principal axes of inertia.
[0016] Accordingly, the present invention intends to provide a golf club head more effectively
suppressing dispersion of carries and hitting directions with respect to dispersion
of hitting positions by setting three-dimensional inclination of a principal axis
of inertia desirable for the golf club head and an axis whose inclination must be
controlled, not disclosed in the prior art.
[0017] At present, a golf club head is designed mainly in consideration of a sweet area.
However, the sweet area may be expressed by the magnitude of a moment of inertia about
an arbitrary axis horizontal in a toe-heel direction. However, no consideration is
made on directions of three axes of a three-dimensionally existing momental ellipsoid.
[0018] The present invention provides a golf club head and a golf club in which a carry
and directivity are stable by designing the same so that an angle formed by one axis
among mutually orthogonal principal axes of inertia possessed by the golf club head
and a normal vector of a face plane passing through the center of gravity of the golf
club head reduces.
[0019] A body has a three-dimensional momental ellipsoid, and the momental ellipsoid has
orthogonal three principal axes of inertia. When external force is applied, the body
most readily rotates about an axis whose moment of inertia is small, and hence it
most hardly rotates with respect to a moment received from the direction of an axis
I
3 whose moment of inertia is the smallest.
[0020] An iron golf club head according to the present invention, proposed by the aforementioned
recognition, has three principal axes of inertia passing through the center of gravity.
An angle θ formed by such an axis that a moment of inertia about the principal axis
of inertia is maximized among the three principal axes of inertia and a normal vector
of a face plane passing through the center of gravity is at least 10 degrees and not
more than 90 degrees.
[0021] Preferably, the angle θ is at least 30 degrees and not more than 90 degrees.
[0022] Preferably, the angle θ is at least 50 degrees and not more than 90 degrees.
[0023] Further preferably, the angle θ is at least 70 degrees and not more than 90 degrees.
[0024] An iron golf club according to the present invention comprises the aforementioned
iron golf club head and a shaft whose one end is connected to the iron golf club head.
[0025] An iron golf club set according to the present invention comprises a plurality of
iron golf clubs whose identification numbers are different, having the aforementioned
plural iron golf club heads and shafts whose single ends are connected to the respective
ones of the iron golf club heads.
Brief Description of Drawings
[0026] Fig. 1 is a diagram showing coordinates in an iron golf club head according to the
present invention.
[0027] Fig. 2 is a diagram showing principal axes of inertia in the iron golf club head
according to the present invention.
[0028] Fig. 3A, Fig. 3B and Fig. 3C are diagrams showing the concept of a cutting elliptic
plane in the iron golf club head according to the present invention.
[0029] Fig. 4 is a diagram showing the concept of angles of inclination of principal axes
of inertia in the present invention.
[0030] Fig. 5 is a diagram showing a state dividing the iron golf club head according to
the present invention.
[0031] Fig. 6 is a perspective view of an iron golf club head according to one Example of
the present invention.
[0032] Fig. 7 is a perspective view of an iron golf club head according to another Example
of the present invention.
[0033] Fig. 8 is a perspective view of an iron golf club head shown for illustrating an
angle formed by such an axis that a moment of inertia about a principal axis of inertia
is maximized and a normal vector of a face plane passing through the center of gravity.
Best Mode for Carrying Out the Invention
[0034] Referring to Fig. 1, it is assumed that an axis perpendicular to the ground 60 and
passing through the center G of gravity is a Z axis. It is assumed that an axis parallel
to an intersection line 62 of a contact surface 61 at the centroid (center) 3c of
a face plane 3f and the ground 60, perpendicular to the Z axis and passing through
the center G of gravity is an X axis. It is assumed that an axis perpendicular to
both of the X axis and the Z axis and passing through the center G of gravity is a
Y axis.
[0035] As shown in Fig. 2, it is assumed that a normal vector of a plane parallel to the
intersection line between the contact surface at the centroid 3c of the face plane
3c and the ground and passing through the center G of gravity is f(l,m,n)
T, for calculating the following respective vectors:

where x denotes outer products.
[0036] Then, it is assumed that an axis parallel to the intersection line between the contact
surface at the centroid of the face plane 3f and the ground and passing through the
center G of gravity is an α axis. It is assumed that an axis parallel to the contact
surface at the centroid of the face plane 3f and perpendicular to the α axis is a
β axis. It is assumed that an axis perpendicular to the α axis and the β axis is a
γ axis. Transformation from α, β, γ coordinate systems to X, Y, Z coordinate systems
is expressed by the following equations:

[0037] Assuming here that I
1, I
2 and I
3 are moments of inertia related to X, Y and Z axes, I
12 is a product of inertia related to the YZ plane and the XZ plane, I
13 is a product of inertia related to the YZ plane and the XY plane and I
23 is a product of inertia related to the XZ plane and the XY plane, the following relation
is obtained:

[0038] An ellipsoid expressed by the equation (3) is referred to as a momental ellipsoid.
This indicates the magnitude of inertial resistance in each direction. When substituting
the equations (2) in the equation (3) and rendering the term of γ zero, an equation
(4) is obtained on a cutting elliptic plane.

[0039] The magnitude of this cutting plane expresses the magnitude of inertial resistance
indicating easiness of rotation of the body on this plane. Further, the cutting plane
expresses perpendicular inertial resistance of the plane. As shown in Fig. 3A to Fig.
3C, further, it is obvious that the shape of this cutting plane becomes a plane ellipse
since it is a cutting plane of a solid momental ellipsoid.
[0040] A specific embodiment of the present invention is now described.
[0041] An iron golf club head, an iron golf club and an iron golf club set according to
the embodiment of the present invention are formed by the following elements.
[0042] Fig. 4 shows an angle θ formed by such an axis that a moment of inertia about a principal
axis of inertia is maximized among three principal axes of inertia about the center
of gravity and a normal vector 101 of a face plane passing through the center G of
gravity. A solid line 102 shows the range where the angle θ is 30 degrees. A solid
line 102 shows the range where the angle θ is 60 degrees. As shown in Fig. 8, an angle
θ formed by such an axis I
1 that a moment of inertia about a principal axis of inertia is maximized among three
principal axes I
1, I
2 and I
3 of inertia passing through the center G of gravity and a normal vector 101 of a face
plane 3f passing through the center G of gravity is at least 10 degrees and not more
than 90 degrees in an iron golf club head 1. More preferably, the angle θ is at least
30 degrees and not more than 90 degrees. More preferably, the angle θ is at least
50 degrees and not more than 90 degrees. Preferably, the angle θ is at least 70 degrees
and not more than 90 degrees.
[0043] Further, an iron golf club 80 according to the present invention comprises the iron
golf club head 1 and a shaft 70 whose one end is connected to the iron golf club head
1. An iron golf club set according to the present invention comprises a plurality
of iron golf clubs 80 whose identification numbers are different, having the aforementioned
iron golf club heads 1 and a plurality of shafts 70 whose single ends are connected
to the respective ones of the iron golf club heads 1.
[0044] The iron golf club head according to the present invention is described on the basis
of drawings.
[0045] Fig. 5 is a perspective view showing the iron golf club head in a divided manner
for setting the directions of principal axes of inertia to target directions. In other
words, as shown in Fig. 5, the iron golf club head 1 is partitioned into a shaft insertion
part 2 and a face part 3, and the iron golf club head 1 is further cut along virtual
cutting planes 7 of an XY plane 4 passing through the centroid 3c of the face part
3 and a YZ plane 5 and divided into four. Further, the iron golf club head 1 is cut
along planes 6 parallel to a YZ plane 5 passing through the centers of Y axes of the
parts divided into four and the virtual cutting lines, and it is assumed that parts
divided into nine are a to i respectively.
[0046] Further, the respective parts divided into nine are bisected along the virtual cutting
planes 7 toward the side of the face plane 3f and the side of a back 1b, for dividing
the same into 18 parts in total. The respective ones of the parts are assumed to be
parts al to i1. Fig. 6 shows an iron golf club head according to Example 1 of the
present invention. In other words, weight members 8a (structured by a stainless alloy,
a tantalum alloy, a tungsten alloy or the like) consisting of a metal having high
specific gravity are arranged on the part c1 and the part i1 of the iron golf club
head 1. Thus, the angle θ formed by such an axis that the moment of inertia about
the principal axis of inertia is maximized and the normal vector of the face plane
3f can be set to a value aimed at by the present invention as shown in Table 1. Table
1 shows the angle formed by the principal axis I
1 of inertia and the normal vector of the face plane 3f.
Table 2
| |
Conventional Iron Golf Club |
Iron Golf Club of Example 1 |
| Angle θ |
8.9 degrees |
12.6 degrees |
[0047] Further, Fig. 7 shows an iron golf club head according to Example 2 of the present
invention.
[0048] The iron golf club head 1 is divided into a shaft insertion part 2 and a face part
3. Further, the iron golf club head 1 is cut along virtual cutting planes 7 of an
XY plane 4 and a YZ plane 5 passing through the centroid 3c of the face part 3 for
dividing the same into four. Then, the iron golf club head 1 is cut along virtual
cutting planes 7 of planes 6 parallel to the YZ plane 5 passing through the centers
of the parts divided into four in the Y axis direction for dividing the same. Then,
the respective divided parts are cut along the virtual cutting planes 7 and bisected
for assuming the respective parts as parts on the side of the face plane 3f and parts
on the side of a back 3b.
[0049] Thus, the iron golf club head 1 is divided into 18 parts in total, and the respective
parts are assumed to be parts a1 to i2. Weight members 8b (structured by a lithium
alloy, a beryllium alloy, an aluminum alloy, a titanium alloy or the like) consisting
of a metal having low specific gravity are arranged on the part a1, the part d1 and
the part h2. Thus, the angle θ of such a principal axis that the moment of inertia
about the principal axis of inertia is maximized and the normal vector of the face
plane 3f can be set within the range aimed at by the present invention as shown in
Table 2. Table 2 shows the angle formed by the principal axis I
1 of inertia and the normal vector of the face plane 3f.
Table 2
| |
Conventional Iron Golf Club |
Iron Golf Club of Example 2 |
| Angle θ |
8.9 degrees |
32.8 degrees |
[0050] As a method of arranging the weight members 8a and 8b consisting of a metal having
high specific gravity or a metal having low specific gravity, it is possible to form
concave portions on a head body 1a of the iron golf club head 1 and engage/press-fit
the weight members 8a and 8b in the concave portions. It is also possible to weld
or braze the weight members 8a and 8b to the concave portions for depositing the same.
[0051] Table 3 shows results obtained by 10 general middle-class persons hitting balls with
the iron golf club according to Example 1.
Table 3
| Carry is rather stabilized in conventional club |
Carry is rather stabilized in inventive club |
Indistinct |
| two persons |
seven persons |
one person |
[0052] The iron golf club head 1 of the present invention is such that the angle formed
by such a principal axis that the moment of inertia about the principal axis of inertia
is maximized among three principal axes of inertia and the normal vector of the face
plane 3f passing through the center of gravity is largely set. Such a principal axis
that the moment of inertia about the principal axis of inertia of the iron golf club
head 1 is generally directed to the direction of a flying line of a ball, and the
area of a cut ellipse at the time of cutting a momental ellipsoid 10 along a plane
parallel to the face plane passing through the center of gravity is substantially
at the maximum.
[0053] In general, the length of the principal axis of the momental ellipsoid 10 is expressed
by the inverse of the square root of the magnitude of the moment of inertia about
the axis. In other words, the moment of inertia enlarges as the momental ellipsoid
10 is small.
[0054] The magnitude of a moment of inertia in the case of receiving force from one direction
can be expressed by the area of a cut ellipse at the time of cutting the momental
ellipsoid 10 along a plane passing through the center G of gravity and rendering the
direction receiving the force a normal vector. In other words, the moment of inertia
with respect to the direction reduces as this area is small.
[0055] In order to reduce this area, it is necessary to enlarge the angle formed by such
a principal axis that the moment of inertia about the principal axis of inertia is
maximized among the three principal axes of inertia and the normal vector of the plane
parallel to the contact surface at the centroid 3c o the face plane 3f.
[0056] In other words, the moment of inertia with respect to the direction where the force
is applied enlarges, and hence it becomes easy to capture a carry and a direction
of a ball aimed at by the hitter also when the hitting position is somewhat dispersed.
[0057] Orthogonal three axes existing in a space do not take values greater than 90 degrees
with respect to a certain vector in general, and hence the moment of inertia enlarges
with respect to the direction where the force is applied and the effect is high when
the angle θ formed by such an axis that the moment of inertia about the principal
axis of inertia is maximized among the three principal axes of inertia and the normal
vector of the face plane takes a value of at least 30 degrees and not more than 90
degrees, at least 50 degrees and not more than 90 degrees when further saying, and
further at least 70 degrees and not more than 90 degrees.
[0058] The iron golf club head 1 according to the present invention is such that a carry
and directivity of a hit ball are stabilized by largely taking the angle formed by
such an axis that the moment of inertia about the principal axis of inertia is maximized
and the normal vector (normal vector of the face plane 3f) of the contact surface
at the centroid 3c of the face plane 3f, as hereinabove described.
[0059] In the iron golf club set of the present invention, in addition, a carry of a hit
ball specific to the golf club of each identification number is stabilized in the
golf club set while the directivity of the hit ball is also further stabilized by
largely taking the angle formed by such an axis that the moment of inertia about the
principal axis of inertia is maximized and the normal vector of the contact surface
at the centroid 3c of the face plane 3f. Therefore, a golf club set stable for a golfer
can be provided.
[0060] The iron golf club head according to the present invention is such that a carry and
directivity of a hit ball are stabilized by enlarging the angle formed by such an
axis that the moment of inertia about the principal axis of inertia is maximized and
the normal vector of the contact surface at the centroid of the face plane from the
center of gravity, as hereinabove described. It can be used as an iron golf club attaching
a shaft and a grip to these iron golf club heads. Further, it can be used as a set
of a plurality of golf clubs whose identification numbers are different.
[0061] According to the present invention, as hereinabove described, the ball carry and
the directivity are stabilized by largely taking the angle formed by such an axis
that the moment of inertia about the principal axis of inertia is maximized and the
normal vector of the contact surface at the centroid of the face plane in the iron
golf club head, the iron golf club and the iron golf club set.
Industrial Applicability
[0062] The present invention is employed in the field of an iron golf club head, an iron
golf club and an iron golf club set.