The present invention relates generally to a new and improved golf club having improved Moment of Inertia (MOI) characteristics, combined with an improved Center of Gravity (CG) location. More specifically, the golf club head in accordance with the present invention achieves a relative low Moment of Inertia (MOI) about the Z-axis (MOI-Z), a low MOI about the Shaft Axis (MOI-SA), all combined with a high MOI about the X and Y-axis (MOI-X and MOI-Y) and maintaining a consistently and relatively low CG location measured along a direction tangent to the hosel axis along the X-Y plane (CG-B).
With the development of the modern day oversized metalwoods, the performance capabilities of these types of golf clubs have increased dramatically over their predecessor, “the persimmon wood”. One of the ways these metalwood type golf clubs have been performing better than their predecessors is in the increase in overall distance, generally attributed to the inherent elastic deformation of thin metallic metal materials used by these metalwoods. Another way the metalwood type golf clubs have been outperforming their predecessors is in the increase in overall forgiveness of the golf club head, generally attributed to the increase in the MOI of the golf club head itself.
The MOI of a golf club head generally is a term used to describe the ability of an object to resist rotational movement upon impact with a secondary object. In the case of a golf club head, MOI refers to the ability of the golf club head to resist undesirable twisting upon impact with a golf ball, as such a twisting movement will generally change the face angle of the golf club head away from the intended target line, sending the golf ball away from the intended target.
U.S. Pat. No. 5,354,055 to MacKeil shows one of the earliest attempts to increase the MOI of a golf club head by placing the Center of Gravity (CG) location rearward. U.S. Pat. No. 6,364,788 to Helmstetter et al. shows the utilization of weighting members to help control the MOI of the golf club head. Both of these patents refer to the MOI-y of the golf club head, as it relates to the ability of the golf club head to stay stable when encountering an off-center impact in the heel and toe direction.
U.S. Pat. No. 7,850,542 to Cackett et al. illustrates a further development in the MOI research wherein a recognition of the different axis of rotation of the different MOI's. (Alternatively known as Ixx, Iyy, and Izz instead of MOI-X, MOI-Y, and MOI-Z) Despite the recognition and identification of the difference in MOI values, U.S. Pat. No. 7,850,542 only focuses its attention on Ixx and Iyy (adapted and changes to the current reference nomenclature), without any recognition of the importance of the last MOI number, Izz, nor MOI-SA and how they can affect the performance of the golf club.
Despite the above, none of the references recognizes the importance of the MOI of the golf club head horizontally forward and aft of the face (MOI-Z), and ways to design a golf club that takes advantage of the performance characteristics of golf club with more optimal MOI-Z values along with the minimized MOI-SA values. Moreover, a closer investigation of the MOI-Z values will yield CG locations that will work in conjunction with the above MOI-Z values to create more performance. Hence, it can be seen from the above there is a need for more research and a design of a golf club capable of achieving better performance by investigating the importance of MOI-Z and MOI-SA as well as the CG location and designing a golf club head.
One aspect of the present invention is a golf club head comprising of a frontal portion further comprising a striking face that defines a face center, located at a forward portion of the golf club head; a rear portion located aft of the striking face; and at least one weighting member located near a central portion of the golf club head in a heel to toe orientation, substantially in line with and behind the face center; wherein an x-axis is defined as a horizontal axis tangent to a geometric center of said striking face with the positive direction towards a heel of said golf club head, a y-axis is a horizontal axis orthogonal to said x-axis with a positive direction towards a crown of said golf club head, and a z-axis being orthogonal to both said x-axis and said y-axis with a positive direction towards a frontal portion of said golf club head, and wherein said golf club head has a MOI-Y to MOI-Z ratio of greater than about 1.50.
In another aspect of the present invention is a golf club head comprising of a golf club head comprising of a frontal portion further comprising a striking face that defines a face center, located at a forward portion of the golf club head, a rear portion located aft of the striking face, and at least one weighting member located near a central portion of the golf club head in a heel to toe orientation, substantially in line with and behind the face center; wherein an x-axis is defined as a horizontal axis tangent to a geometric center of said striking face with the positive direction towards a heel of said golf club head, a y-axis is a horizontal axis orthogonal to said x-axis with a positive direction towards a crown of said golf club head, and a z-axis being orthogonal to both said x-axis and said y-axis with a positive direction towards a frontal portion of said golf club head, and wherein said golf club head has a MOI-X, MOI-Z, and CG-Z numbers that satisfies the equation
In another aspect of the present invention, the golf club head has a volume of 250 cc to 400 cc. More particularly, the golf club head comprises a frontal portion further comprising a striking face that defines a face center, located at a forward portion of the golf club head, a rear portion located aft of the striking face, and at least one weighting member located near a central portion of the golf club head in a heel to toe orientation, substantially in line with and behind the face center; wherein an x-axis is defined as a horizontal axis tangent to a geometric center of said striking face with the positive direction towards a heel of said golf club head, a y-axis is a vertical axis orthogonal to said x-axis with a positive direction towards a crown of said golf club head, and a z-axis being orthogonal to both said x-axis and said y-axis with a positive direction towards a frontal portion of said golf club head. The golf club head in accordance with the present invention achieves a relative low Moment of Inertia (MOI) about the z-axis (MOI-Z), a low MOI about the shaft axis (MOI-SA), all combined with a high MOI about the x-axis and low MOI about the y-axis (MOI-X and MOI-Y) and maintaining a consistently and relatively low CG. Moreover, the preferred embodiment golf club head has a MOI-X, MOI-Y, MOI-Z, CG-Z and CG-Y numbers that satisfies a number of equations. In one embodiment, the golf club head can have a MOI-X/MOI-Y of greater than or equal to 0.65. In another embodiment, the golfclub head can have a CG-Z to club head depth ratio of greater than or equal to about 0.33. Moreover, the golf club head can have a CG-Y to crown height ration of less than or equal to about 0.35.
In yet another embodiment, a golf club head can be comprised of a center portion having a center face portion, a center crown portion and a center sole portion; a toe having a toe face portion, a toe crown portion and a toe skirt portion; and a heel portion having a heel face portion, a heel crown portion and a heel skirt portion. The center portion, toe portion and heel portion define a club head volume of greater than about 420 cc and more preferably between 440 cc and 460 cc. The golf club head preferably includes at least a crown weight member located on the center crown portion of said golf club head and a sole weight member located on the center sole portion of said golf club head. The golf club head has center of gravity and a moment of inertia about said x-axis through the center of gravity (MOI-X), a moment of inertia about said y-axis through the center of gravity (MOI-Y), and a moment of inertia about said z-axis through the center of gravity (MOI-Z), and the MOI-Y is preferably less than 400 kg-mm2 and the golf club head has a MOI-X to MOI-Y ratio of greater than about 0.7. Preferably, the golf club head MOI-Y is less than 300 kg-mm2. Moreover, it is preferred that the center of gravity is a vertical distance up from a ground plane that is at less than about 0.4 times a face height from the ground plane and less than about 0.35 times a crown height from the ground plane. More preferably, the MOI-X is less than 300 kg-mm2 and the MOI-Y is between about 250 kg-mm2 and 300 kg-mm2.
In a more preferred embodiment, the golf club head has a crown weight member with a mass of about 5 g to about 20 g and a sole weight member with a mass of between about 40 g to about 75 g. Preferably, the crown weight mass is between about 10 g and 15 g and the sole weight mass is between about 50 g and 60 g. The crown weight member has a crown weight mass center of gravity and the sole weight member has a sole weight mass center of gravity that are both spaced from the golf club head center of gravity along the z-axis by less than 0.5 inch, and more preferably, less than 0.25 inch. Also, the crown weight mass center of gravity and the sole weight mass center of gravity are spaced from the golf club head center of gravity along the y-axis by greater than 0.5 inch, and more preferably, by greater than 0.6 inch. Most preferably, the crown weight mass center of gravity and the sole weight mass center of gravity is spaced from the center of gravity by 0.1 inch in the z-direction and 0.7 inch in the y-direction.
The golf club head preferably has a center face portion with a center width that is between about 1.5 inch and 2 inches when measured parallel to the x-axis across the face center, a toe face portion with a toe width that is between 0.75 inch and 1 inch when measured parallel to the x-axis across the face center, and a heel face portion with a heel width that is between 0.75 inch and 1 inch when measured parallel to the x-axis across the face center. Preferably, the center portion is formed from titanium or titanium alloy and the toe portion and the heel portion are formed from thermoplastic material that is comprised of polyetherimide, polyether ether ketone, polyphenylene sulfide, polysulfone, polyacryletherketone, polyetherketoneketone, or polyvinyl chloride.
These and other features, aspects and advantages of the present invention will become better understood with reference to the following drawings, description and claims.
The foregoing and other features and advantages of the invention will be apparent from the following description of the invention as illustrated in the accompanying drawings. The accompanying drawings, which are incorporated herein and form a part of the specification, further serve to explain the principles of the invention and to enable a person skilled in the pertinent art to make and use the invention.
The following detailed description describes the best currently contemplated modes of carrying out the invention. The description is not to be taken in a limiting sense, but is made merely for the purpose of illustrating the general principles of the invention, since the scope of the invention is best defined by the appended claims.
Various inventive features are described below and each can be used independently of one another or in combination with other features. However, any single inventive feature may not address any or all of the problems discussed above or may only address one of the problems discussed above. Further, one or more of the problems discussed above may not be fully addressed by any of the features described below.
Before beginning the discussion on the current inventive golf club head and its performance criteria, it is worthwhile to note here that the discussion below will be based on a coordinate system 101 and axis of measurement that is critical to the proper valuation of the performance numbers. Hence, it is important to recognize here that although the specific names given for the measurements below are important to the understanding of the current invention, the naming nomenclature should not be viewed in vacuum. Rather, the importance is the numbers presented below needs to be taken in context with how the coordinate system relates to the golf club head itself. In order to provide sufficient information to avoid any ambiguity, each of the figures provided below referencing a golf club head will all be accompanied by a coordinate system that is all consistent with one another.
Pursuant to the above, and to establish the reference coordinate system for the subsequent discussion,
In this embodiment of the present invention, the frontal portion 104 may generally be made out of a steel type material having a density of between about 7.75 g/cc and about 8.00 g/cc, allowing a significant portion of the mass of the golf club head 100 to be concentrated at a frontal bottom region of the golf club head 100. The rear portion 106 of the golf club head 100 in this embodiment of the present invention may generally be made out of the standard titanium material having a density of between about 4.00 g/cc and about 5.00 g/cc, allowing the rear portion 106 of the golf club head 100 to be relatively lightweight. However, it should be noted that in alternative embodiments of the present invention, the frontal portion 104 may also be made out of a standard titanium material such as TI-6-4, Ti-8-1-1, SP-700, or any other type of titanium material without departing from the scope and content of the present invention.
In order to illustrate more specific features of the golf club head 100,
More specifically, in the current invention, the CG location rearward from the striking face, identified here as CG-Z is generally between about 25 mm to about 40 mm, more preferably between about 26 mm and about 38 mm, and most preferably between about 27 mm and about 36 mm, all measured rearward from the face center 202 along the Z axis shown by the coordinate system 201. In addition to illustrating the CG-Z 212 numbers, an alternative measurement method is provided to measure how far back the CG 210 is located within the club head 200. In this alternative method, the CG 210 is measured from the shaft axis 215, and this measurement is illustrated as CG-C 214 is generally measured to be between about 10 mm to about 25 mm, more preferably between about 12 mm to about 23 mm, and most preferably between about 14 mm to about 21 mm, all measured rearward from the shaft axis 215 along the Z axis shown by the coordinate system 201.
It should be noted that the strategic location of the CG 210 location rearward along the Z axis, irrespective of whether it is measured from the face center 202 or the shaft axis 215, is critical to the proper functionality of the current inventive golf club head 200. If the CG 210 location is too far forward, the golf club head 200 can result in a low MOI-X and MOI-Y as well as too low of a backspin when contacting a golf ball to yield desirable results. However, in the alternative, if the CG 210 location is too far rearward, the golf club head 200 can produce too much spin to yield desirable results. Hence, it can be seen that the criticality of the CG location rearward of along the Z axis is a fine balance of a very specific range of numbers that can severely hinder the performance of the golf club head 200 if it deviates from the ranges articulated above.
In addition to illustrating the very important CG-B measurement of the golf club head,
Now that the CG location of the golf club head 200 has been defined, the other important features associated with the present invention relates to the Moment of Inertia (MOI) of the golf club head 200. The MOI of a golf club head generally depicts the ability of the golf club head to resist twisting when it impacts an object at a location that is not aligned with the CG location previously discussed. More specifically, the MOI of a golf club head relates to the ability of the golf club head to resist twisting relative to the CG location. As is well known in the art, the MOI of the golf club head 200 may generally be broken down to three unique components, relating to the ability of the golf club head 200 to resist rotation along three different axes, with the origin of the three axes being coincident with the CG location of the golf club head. The three axes of rotation for which the MOI is generally referred coincides with the coordinate system 101, 201, and 301 (shown in
As the previously discussion already hinted, the current inventive golf club head 200 may generally have a high value for the MOI about the X and Y axis, while maintaining a low MOI about the Z axis. More specifically, the current inventive golf club head 200 may generally have a MOI about the X axis (MOI-X) that is greater than about 300 kg-mm2, more preferably greater than about 310 kg-mm2, and most preferably greater than about 320 kg-mm2 without departing from the scope and content of the present invention. As for MOI about the Y axis (MOI-Y), the present inventive golf club head 200 may generally have a MOI about the Y axis that is greater than about 400 kg-mm2, more preferably greater than about 410 kg-mm2, and most preferably greater than about 420 kg-mm2 all without departing from the scope and content of the present invention.
While the large MOI number about the X and Y axis discussed previously are not necessarily new in the world of golf club head 200 designs, the ability to maintain those number while decreasing the MOI about the Z axis (MOI-Z) and holding the MOI about the Shaft axis (MOI-SA) to a minimum is what makes the present invention. While the majority of the golf industry are focusing their attention so intently on the ability of the golf club head 200 to offer forgiveness on off center hits by trying to increase the MOI-Y to astronomical numbers, they have failed to recognize the ability of the golf club head 200 to offer more club head speed and more ball speed by decreasing the MOI about the Z axis (MOI-Z) in concert with the minimization of MOI about the Shaft axis (MOI-SA). The present invention focuses its attention on that very specific unrecognized characteristic, and has developed a golf club head 200 design to take advantage and maximize the performance of the golf club head 200 by focusing on the MOI about the Z axis. More specifically, a golf club head 200 in accordance with the present invention may generally have a MOI about a Z axis that is less than about 268 kg-mm2, more preferably less than about 260 kg-mm2, and most preferably less than about 250 kg-mm2. Additionally, the golf club head 200 may generally have a MOI about a Shaft axis that is less than about 850 kg-mm2.
It should be noted here that the low MOI-Z numbers mentioned above cannot by itself accurately depict and describe the current invention; as old school golf club heads with much smaller footprint may inherently have a low MOI-Z number, combined with a low MOI-X and MOI-Y number. Hence, it is important to recognize here that the present invention is predicated on the interrelationship between the different numbers achieved by the MOI-X and MOI-Y numbers as it relates to MOI-Z and MOI-SA, in combination with the CG location articulated above.
In order to capture the essence of the present invention, a ratio can be created between the MOI-X, MOI-Y, and MOI-Z to help provide one way to quantify this relationship. In one first example, a MOI-X to MOI-Z Ratio can be created to help quantify the current golf club head 200 as illustrated by Eq. (1) below. In one exemplary embodiment of the present invention, the MOI-X to MOI-Z Ratio is greater than about 1.10, more preferably greater than about 1.20, and most preferably greater than about 1.28.
Similarly, a comparable ratio can be established called a MOI-Y to MOI-Z Ratio to quantify the current golf club head 200 as illustrate by Eq. (2) below. In one exemplary embodiment of the present invention, the MOI-Y to MOI-Z ratio is greater than about 1.50, more preferably greater than about 1.57, and most preferably greater than about 1.68.
As it can be seen from the relationship established by the Eqs (1) and (2) above, the present invention relates to a specific relationship between the MOI of the golf club head 200 with an extra focus on minimizing the MOI-Z about the Z axis while maintaining a high MOI-Y. In order to further illustrate this, a graphical representation of the relationship is provided as
A closer examination of the prior art data points will show that none of the golf club heads in the prior art are capable of achieving a MOI-Z number of lower than 268 kg-mm2, for all modern day golf club heads that have a MOI-Y of greater than 420 kg-mm2. However, an even closer examination of the graph of
MOI-Z≤(0.47*MOI-Y)+33 Eq. (3)
Alternatively speaking, it can be said that in one embodiment of the present invention, the golf club head 200 may have a MOI-Z that satisfies the relationship MOI-Z≤(0.47*MOI-Y)+0.33 if the MOI-Y number is greater than 500 kg-mm2, and a MOI-Z that is less than 268 kg-mm2 if the MOI-Y number is between 420 kg-mm2 and 500 kg-mm2.
MOI-Y≥(0.52*MOI-SA)+147 Eq. (4)
MOI-X≥(0.40*MOI-SA)+50 Eq. (5)
In the chart shown in
In the chart shown in
A further examination of the plot shown in
It should be noted that in this exemplary embodiment of the present invention, all of the weighting members 1322, 1324, 1326, and 1328 are all made out of the same material having the same heavy density discussed previously. However, in alternative embodiments of the present invention, different densities of tungsten may be used for different weighting members depending on the design criteria and desired CG location all without departing from the scope and content of the present invention.
More specifically,
In addition to illustrating this toe contour profiling,
Referring to
In the preferred embodiment, the central body member 2004 is cast from 450 ss and the striking face 2001 is formed of forged AerMet 340 ss. Preferably, the central body member 2004, the crown return 2002, the sole return 2003, and back edge 2005, combined, have a mass of about 80 grams to 110 grams and, more preferably, from about 90 grams to 100 grams. The striking face 2001 preferably has a mass of about 40 grams to 50 grams including the weld to the frontal portion. Overall, the 400 cc golf club head 2000 preferably has a mass of about 190 grams to 200 grams for a 45 inch shaft and 200 grams to 210 grams for a 44 inch shaft.
The golf club head 2000 preferably has a volume of between 250 cc and 400 cc, and more preferably between about 300 cc and 400 cc. Most preferably, the golf club head 2000 has a volume of between 350 cc and 400 cc. Moreover, the golf club head 2000 has a center of gravity CG-Z that is located a distance back from the face center that is greater than or equal to 0.33 times the golf club head depth 2015. Golf club head depth 2015, as referred to in the present invention, is defined as a depth of the golf club head 2000 measured front to back, from the leading edge to the rear most point of the golf club head 2000, along a Z-axis. More preferably, the CG-Z is located a distance back from the face center a distance that is at least 0.35 times the golf club head depth 2015. Still further, the golf club head 2000 has numerous additional features that can help quantify the location of the center of gravity of the golf club head 2000 from various other reference points. The golf club head 2000 has a CG-Y measurement that is a center of gravity a vertical distance up from the ground plane. (shown in
As stated above, it is important that the strategic location of the CG rearward along the z-axis be correct, irrespective of whether it is measured from the face center FC or the shaft axis SA, for the proper functionality of the current inventive golf club head 2000. If the CG location is too far forward, the golf club head 2000 can have a low MOI-X and MOI-Y and low backspin when contacting a golf ball. However, in the alternative, if the CG location is too far rearward or too high, the golf club head 2000 can produce too much spin to yield desirable results. Hence, the CG location rearward along the z-axis and y-axis is important for the performance of the golf club head 2000.
As shown in
As shown in
In another embodiment of the invention, the second weight member 2009 preferably has a mass of between about 20 grams and 50 grams, more preferably between about 25 grams and 35 grams. The first weight member 2008 can have a mass of less than half the mass of the second weight member 2009. More preferably, the weight member 2009 is preferably located a distance of less than 20 mm from the back edge 2005 along the z-axis so that it can have a maximum effect on the spin and launch characteristics of the club head.
The golf club head 2000 also achieves a relative low Moment of Inertia (MOI) about the z-axis (MOI-Z), a low MOI about the shaft axis (MOI-SA), all combined with a high MOI about the x-axis (MOI-X) and low MOI about the y-axis (MOI-Y) and maintaining a consistently and relatively low CG discussed above. Moreover, the preferred embodiment golf club head has an MOI-Y of less than or equal to about 400 kg-mm2 and more preferably less than or equal to about 300 kg-mm2, and most preferably, less than 200 kg-mm2. Furthermore, the golf club head 2000 has a MOI-X, MOI-Y, MOI-Z, CG-Z and CG-Y numbers that satisfies a number of relationships with one another. In one embodiment, the golf club head 2000 can have a MOI-X to MOI-Y of greater than or equal to 0.65 and more preferably between about 0.69 and 0.85. More preferably, the golf club head 2000 also has a MOI-Y to MOI-Z of greater than 1.5, and more preferably greater than about 1.57. Still further, the golf club head 2000 preferably has a MOI-X to MOI-Z ratio of greater than about 1.1, and more preferably greater than about 1.2. The following table demonstrates the difference of the present invention and an all titanium driver, the 915 D5.
Referring to
The toe portion 3004 is comprised of a toe face portion 3020, a toe crown portion 3022 and a toe skirt portion 3024. The heel portion 3006 is comprised of a heel face portion 3026, a heel skirt portion 3028 and a heel crown portion 3030. The heel portion 3006 is further comprised of a hosel receiving aperture 3032 for receiving a hosel 3034, which defines a shaft axis SA. The toe portion 3004 and the heel portion 3006 are preferably comprised of thermoplastic composite materials such as standard composite fiber composite laminate, chopped fiber composite generally referred to as fiber-reinforced plastic (FRP), or a thermoplastic composite material incorporating, polyetherimide (PEI), polyether ether ketone (PEEK), polyphenylene sulfide (PPS), polysulfone (PSU), polyacryletherketone (PAEK), polyetherketoneketone (PEKK) and polyvinyl chloride (PVC). The mass of the toe portion 3004 is preferably between about 15 g and 25 g and the mass of the heel portion 3006 is preferably between about 10 g and 20 g. The mass of the hosel 3034 is preferably between about 6 g and 10 g.
The central portion 3002 can have a constant center width 3036 across the center face portion 3008, the center crown portion 3012 and the central sole portion 3014 or the center face portion 3008 can be one width and the center crown portion 3012 and the center sole portion 3014 can have tapered widths, such that the center portion 3002 has a minimum width at the center back edge 3016, and has a trapizodal shape when viewed from the top. Most preferably, the central face portion 3008 has a center width 3036 that is between about 1.5 inch and 2 inches when measured in the x-direction across the face center FC. The toe face portion 3020 also has a toe width 3038 that is preferably between 0.75 inch and 1 inch when measured in the x-direction across the face center FC. The heel face portion 3026 also has a heel width 3040 that is preferably between 0.75 inch and 1 inch when measured in the x-direction across the face center FC. Most preferably, the toe width 3038 and the heel width 3040 do not differ from each other by more than 0.15 inch and are both less than half of the center width 3036. In another preferred embodiment, the center portion width at the center back edge 3016 is less than 1 inch.
The center portion 3002 can be further comprised of a lower hosel component 3046 that is integrally formed with the center portion 3002 or is formed separately and coupled to the sole portion 3014. The lower hosel component 3046 receives and couples the hosel 3034 to the golf club head 3000.
Referring specifically to
Referring to
Still further, the golf club head 3000 has a center of gravity CG-Z that is located a distance back from the face center that is greater than or equal to 0.33 times the golf club head depth 3015. Golf club head depth 3015, as referred to in the present invention, is defined as a depth of the golf club head 3000 measured front to back, from the leading edge to the rear most point, the center back edge 3016, of the golf club head 3000, along a Z-axis. More preferably, the CG-Z is located a distance back from the face center a distance that is less than 0.35 times the golf club head depth 3015. Still further, the golf club head 3000 has numerous additional features that can help quantify the location of the center of gravity of the golf club head 3000 from various other reference points. The golf club head 3000 has a CG-Y measurement that is a center of gravity a vertical distance up from the ground plane. (shown in
As stated above, it is important that the strategic location of the CG rearward along the z-axis be correct, irrespective of whether it is measured from the face center FC or the shaft axis SA, for the proper functionality of the current inventive golf club head 3000. If the CG location is too far forward, the golf club head 3000 can have a low MOI-X and MOI-Y and low backspin when contacting a golf ball. However, in the alternative, if the CG location is too far rearward or too high, the golf club head 3000 can produce too much spin to yield desirable results. Hence, the CG location rearward along the z-axis and y-axis is important for the performance of the golf club head 3000.
Other than in the operating example, or unless otherwise expressly specified, all of the numerical ranges, amounts, values and percentages such as those for amounts of materials, moment of inertias, center of gravity locations, loft, draft angles, various performance ratios, and others in the aforementioned portions of the specification may be read as if prefaced by the word “about” even though the term “about” may not expressly appear in the value, amount, or range. Accordingly, unless indicated to the contrary, the numerical parameters set forth in the above specification and attached claims are approximations that may vary depending upon the desired properties sought to be obtained by the present invention. At the very least, and not as an attempt to limit the application of the doctrine of equivalents to the scope of the claims, each numerical parameter should at least be construed in light of the number of reported significant digits and by applying ordinary rounding techniques.
Notwithstanding that the numerical ranges and parameters setting forth the broad scope of the invention are approximations, the numerical values set forth in the specific examples are reported as precisely as possible. Any numerical value, however, inherently contains certain errors necessarily resulting from the standard deviation found in their respective testing measurements. Furthermore, when numerical ranges of varying scope are set forth herein, it is contemplated that any combination of these values inclusive of the recited values may be used.
It should be understood, of course, that the foregoing relates to exemplary embodiments of the present invention and that modifications may be made without departing from the spirit and scope of the invention as set forth in the following claims.
This application is a continuation-in-part of co-pending U.S. patent application Ser. No. 17/713,464, filed on Apr. 5, 2022, which is a continuation-in-part of co-pending U.S. patent application Ser. No. 17/700,439, filed on Mar. 21, 2022, which is a continuation-in-part of U.S. patent application Ser. No. 16/912,276, filed on Jun. 25, 2020, which issued as U.S. Pat. No. 11,331,546 and is a continuation-in-part of U.S. patent application Ser. No. 16/219,651, filed on Dec. 13, 2018, now abandoned, all of which are hereby incorporated by reference in their entirety.
Number | Date | Country | |
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Parent | 17713464 | Apr 2022 | US |
Child | 17835403 | US | |
Parent | 17700439 | Mar 2022 | US |
Child | 17713464 | US | |
Parent | 16912276 | Jun 2020 | US |
Child | 17700439 | US | |
Parent | 16219651 | Dec 2018 | US |
Child | 16912276 | US |