Roller assembly for smoothing granular media
11439052 · 2022-09-13
Assignee
Inventors
Cpc classification
E01C19/23
FIXED CONSTRUCTIONS
A63K3/00
HUMAN NECESSITIES
E01C19/27
FIXED CONSTRUCTIONS
A01B29/041
HUMAN NECESSITIES
A01B49/027
HUMAN NECESSITIES
E01C19/15
FIXED CONSTRUCTIONS
E01C19/236
FIXED CONSTRUCTIONS
International classification
A01B29/04
HUMAN NECESSITIES
A01B49/02
HUMAN NECESSITIES
E01C19/23
FIXED CONSTRUCTIONS
Abstract
A roller assembly for smoothing an expanse of granular media such as golf bunker sand, snow, horse race track dirt, or other media. The assembly has one or more rollers having a longitudinal axis. Each roller includes wires spaced from the axis to define a roller surface. Each wire is resiliently flexible to distort inwardly in response to force of contact on, and to recover during release of force from, the granular media as the roller rotates about the axis on the granular media. A shaft extends along the axis of the roller assembly between the arms of a yoke with a handle extending therefrom. As the roller surface traverses the media, at least some of the media is flung outwardly of the roller, smoothing the expanse. The roller assembly may be manually operated or may be towed behind a towing apparatus.
Claims
1. A roller assembly for smoothing an expanse of granular media, said roller assembly comprising: at least one roller having first end, a second end, and a longitudinal axis, said roller having a plurality of media contacting surfaces that revolve around said longitudinal axis; a plurality of plowing members adjacent to said at least one roller, said plowing members for breaking up the granular media; said roller for smoothing said broken up granular media; said plurality of media contacting surfaces for flinging at least some of the granular media outwardly from said roller; wherein said plurality of media contacting surfaces define a first end, a second end, and a midpoint; wherein said first end and said second end are closer to said longitudinal axis than said midpoint when said roller is in a first position; wherein at least a portion of said plurality of media contacting surfaces are inwardly movable from said first position to a compressed position, wherein said compressed position is closer to said longitudinal axis than said first position, said compressed position resulting from forces due to contact with the granular media; wherein said media contacting surfaces have a stiffness of 7.85×10.sup.−5 ksi to 7.76×10.sup.−4 ksi; wherein when one of said plurality of media contacting surfaces is in said compressed position, said media contacting surface returns to said first position with sufficient force and speed to fling at least some of the granular media outwardly of said roller.
2. The roller assembly according to claim 1 wherein: said plowing members are a plurality of tines.
3. The roller assembly according to claim 1 wherein said roller wherein: said plurality of media contacting surfaces define a first end, a second end and a mid-point wherein said first end and said second end are closer to said longitudinal axis than said mid point for forming a convex media contacting surface.
4. The roller assembly according to claim 1 wherein: said roller is mounted on a towable assembly.
5. The roller assembly according to claim 1 wherein: said plowing members are mounted on a towable assembly.
6. The roller assembly according to claim 1 wherein: said plurality of media contacting surfaces have a length to diameter ratio of 182 to 286.
7. A roller assembly for smoothing an expanse of granular media, said roller assembly comprising: at least one roller having first end, a second end, and a longitudinal axis; a plurality of media contacting surfaces that revolve around said longitudinal axis, wherein said plurality of media contacting surfaces have a stiffness of 7.85×10.sup.−5 ksi to 7.76×10.sup.−4 ksi, wherein at least a portion of each of said media contacting surfaces are inwardly movable from a first position to a compressed position, wherein the plurality of media contacting surfaces define a first end, a second end and a mid-point wherein the first end and the second end are closer to the longitudinal axis than the mid-point, wherein said compressed position is closer to said longitudinal axis than said first position, said compressed position resulting from forces due to contact with the granular media; wherein when one of said media contacting surfaces is in said compressed position, the media contacting surface returns to said first position with sufficient force and speed to fling at least some of the granular media outwardly from said at least one roller.
8. The roller assembly according to claim 7 wherein: said plurality of media contacting surfaces have a length to diameter ratio of 182 to 286.
9. A roller assembly for smoothing an expanse of granular media, said roller assembly comprising: at least one roller having first end, a second end, and a longitudinal axis; a plurality of media contacting surfaces that revolve around said longitudinal axis, wherein said plurality of media contacting surfaces have a length to diameter ratio of 182 to 286, wherein at least a portion of each of said media contacting surfaces are inwardly movable from a first position to a compressed position, wherein the plurality of media contacting surfaces define a first end, a second end and a mid-point wherein the first end and the second end are closer to the longitudinal axis than the mid-point, wherein said compressed position is closer to said longitudinal axis than said first position, said compressed position resulting from forces due to contact with the granular media; wherein when one of said media contacting surfaces is in said compressed position, the media contacting surface returns to said first position with sufficient force and speed to fling at least some of the granular media outwardly from said at least one roller; said plurality of media contacting surfaces have a stiffness of 7.85×10.sup.−5 ksi to 7.76×10.sup.−4 ksi.
10. A roller assembly for smoothing an expanse of granular media, said roller assembly comprising: at least one roller having first end, a second end, and a longitudinal axis; wherein said plurality of media contacting surfaces define a first end, a second end, and a midpoint; wherein said first end and said second end are closer to said longitudinal axis than said midpoint when said roller is in a first position; a plurality of media contacting surfaces that revolve around said longitudinal axis, wherein at least a portion of each of said media contacting surfaces are inwardly movable from said first position to a compressed position, wherein said compressed position is closer to said longitudinal axis than said first position, said compressed position resulting from forces due to contact with the granular media; wherein said plurality of media contacting surfaces have a length of diameter ratio of 182 to 286; wherein when one of said media contacting surfaces is in said compressed position, the media contacting surface returns to said first position with sufficient force and speed to fling at least some of the granular media outwardly from said at least one roller; a plurality of plowing members adjacent to said roller; wherein said plowing members are provided for breaking up said granular media and said roller is provided for smoothing said broken up granular media; said plurality of media contacting surfaces have a stiffness of 7.85×10.sup.−5 ksi to 7.76×10.sup.−4 ksi.
11. A roller assembly for smoothing an expanse of granular media, said roller assembly comprising: at least one roller having first end, a second end, and a longitudinal axis, said roller having a plurality of media contacting surfaces that revolve around said longitudinal axis; a plurality of plowing members adjacent to said at least one roller, said plowing members for breaking up the granular media; said roller for smoothing said broken up granular media; wherein said plurality of media contacting surfaces define a first end, a second end, and a midpoint; wherein said first end and said second end are closer to said longitudinal axis than said midpoint when said roller is in an uncompressed position; said plurality of media contacting surfaces are inwardly compressible for flinging at least some of the granular media outwardly from said roller; said plurality of media contacting surfaces is comprised of a plurality of wires having a first end proximate said first end of said roller and having a second end proximate said second end of said roller; wherein said plurality of media contacting surfaces have a length of diameter ratio of 182 to 286; said plurality of media contacting surfaces have a stiffness of 7.85×10.sup.−5 ksi to 7.76×10.sup.−4 ksi.
12. A roller assembly for smoothing an expanse of granular media, said roller assembly comprising: at least one roller having first end, a second end, and a longitudinal axis, said roller having a plurality of media contacting surfaces that revolve around said longitudinal axis, said media contacting surfaces defining a first end, a second end and a mid-point wherein said first end and said second end are closer to said longitudinal axis than said mid-point for forming a convex media contacting surface; said plurality of media contacting surfaces are inwardly compressible for flinging at least some of the granular media outwardly from said roller; said plurality of media contacting surfaces have a stiffness of 7.85×10.sup.−5 ksi to 7.76×10.sup.−4 ksi.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) Other objects and advantages of the invention will become apparent upon reading the following detailed description and upon reference to the drawings in which:
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(32) While the invention will be described in conjunction with preferred embodiments thereof, it will be understood that it is not intended to limit the invention to those embodiments or to the details of the construction or arrangement of parts illustrated in the accompanying drawings.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
(33) Looking at
(34) As better seen in
(35) Turning to
(36) Continuing to look at
(37) Each bushing 26 cooperates with a corresponding ring 28 to clamp ends of the wires 22 in a corresponding annulus between bushing 26 and the ring 28. As shown in the embodiment of FIGS. 1-3A of roller assembly 10, the corresponding rings 28 are the end portions of a unitary tube 30.
(38) Each of the bushings 26 has a longitudinal concentric opening 32.
(39) Returning to
(40) Returning to
(41) As used herein, the term “wire” includes filaments of metallic, plastic and/or fibrous material. It is preferred that at least the convex portion 46 of each wire 22 of each roller 12 be resiliently flexible to distort inwardly in response to increasing force of contact with, and to recover during release of force of contact from, the granular media as roller assembly 10 rotates about common longitudinal axis 20 on the expanse of granular media.
(42) Wires 20, 320, 420, discussed below, or other wire embodiments discussed herein may be constructed of various materials and dimensions. In one embodiment, material of wires 20, 320, 420 is AISI 302 stainless steel, spring tempered. This material has a tensile strength in the range of 189-319 ksi. Other stainless alloys may also be used, including 17-7 PH with a tensile strength range from 235-335 ksi. Other stainless steel alloys could be used including, AISI 304 and 316. A benefit of 17-7 over 302/304 is that the 17-7 is heat treatable by precipitation hardening, to get required strength and formability.
(43) Wires 20, 320, 420 are loaded transverse to their axis. They are manufactured and assembled with an outward, or convex, curvature (i.e., bowing) along their length. When loaded, wires 20, 320, 420 are compressed or pushed to essentially a straight configuration, and can assume a reverse curvature when a larger radial load is imposed. The transverse compression or deflection of wires 20, 320, 420 results in a radial stiffness, per wire, equal to:
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(45) where ΔF is the total radial (transverse) force taken by one wire 20, 320, 420 and Δy is the corresponding maximum transverse deflection. The stiffness value for a single wire 20, 320, 420 can be shown to be:
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(47) Where E is the modulus of elasticity for the spring wire 20, I is the moment of inertia for the cross sectional area of wire 20
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for a wire of diameter, d, or
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for a square d×d wire) and L is its length. A is a constant of proportionality, dependent on the end conditions of wire 20 and the shape of the transverse load distribution. For example, if the ends are simply supported and the load is assumed to be uniformly distributed along the length of wire 20, A=76.8. If the load is assumed to sinusoidal, with a maximum in the center, A=π.sup.2.
(50) The length of the radial ends of the wires 20, 320, 420, and their curvature from the radial to the transverse section, also contribute to the overall wire stiffness, primarily by affecting the value of A.
(51) The equation for stiffness, k, is useful for selecting wires 20, 320, 420 with identical stiffness over differing lengths. For example, if a round wire11 has a diameter of d.sub.1 (and a corresponding moment of inertia, I.sub.1) has good stiffness properties at a length of L.sub.1, and we want a wire-2 with the same stiffness at a length of L.sub.2, then we want:
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(53) For example, a 17″ long wire with a diameter of 0.072″ has the same stiffness as a 24″ wire with a diameter of 0.093″.
(54) The overall downward stiffness of an individual roller depends on the stiffness of each wire 20, 320, 420, and the number of wires 20, 320, 420 around the circumference. The more wires 20, 320, 420 on a given roller, the greater its overall stiffness.
(55) As an example, a wire, 20, 320, 420 having a diameter of d1 of 0.072″ and a length L1 of 17″ and a moment of inertia I.sub.1 of 1.319×10.sup.−6 inches.sup.4 has been found to be effective. Below, in Table 1, are example wire diameters d2 for different lengths L2 from 6 inches to 36 inches.
(56) TABLE-US-00001 TABLE 1 L.sub.2 (in) I.sub.2 (in.sup.4) d.sub.2 (in) 6 5.80E−08 0.033 7 9.21E−08 0.037 8 1.37E−07 0.041 9 1.96E−07 0.045 10 2.69E−07 0.048 11 3.57E−07 0.052 12 4.64E−07 0.055 13 5.90E−07 0.059 14 7.37E−07 0.062 15 9.06E−07 0.066 16 1.10E−06 0.069 17 1.32E−06 0.072 18 1.57E−06 0.075 19 1.84E−06 0.078 20 2.15E−06 0.081 21 2.49E−06 0.084 22 2.86E−06 0.087 23 3.27E−06 0.090 24 3.71E−06 0.093 25 4.20E−06 0.096 26 4.72E−06 0.099 27 5.28E−06 0.102 28 5.89E−06 0.105 29 6.55E−06 0.107 30 7.25E−06 0.110 31 8.00E−06 0.113 32 8.80E−06 0.116 33 9.65E−06 0.118 34 1.06E−05 0.121 35 1.15E−05 0.124 36 1.25E−05 0.126
(57) The above table is provided for the purposes of example only. Other diameters are also believed to be suitable, including diameters of +/−3% from the listed diameters.
(58) Turning to
(59) Moving on to
(60) As shown in
(61) Looking now at
(62) In any multiple roller embodiment, end rollers 315 as seen in
(63) For single roller embodiments, any of the rollers 12 seen in
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(65) Turning to
(66) Still referring to
(67) Turning to
(68) If the convex portions 446 of the wires 422 are resiliently flexible to distort inwardly in response to increasing force of contact with, and to recover during release of force of contact from, the granular media S as the roller assembly 10, 310, 410 rotates about common longitudinal axis 20, 320, 420 on the expanse of granular media S, the energy of the release appears to enhance the effectiveness of roller assembly 10.
(69) Looking at now at
(70) In single roller embodiment 400, end caps 500 of ⅛″ stainless steel with a disc 502 of 1.5″ diameter and teeth ⅜″ in length performed satisfactorily with a roller 410 approximately 17 inches wide having bushings 426 of ¾″ outer diameter.
(71) Alternatively, as seen in
(72) In another embodiment, the end cap assembly may be molded of a moldable material, such as polycarbonate or another suitable material. Referring now to
(73) Referring now to
(74) The invention has been described above in relation to various embodiments of a manually operated roller assembly. However, it is contemplated that roller assemblies of considerably larger structure can be towed by a vehicle, e.g., for use in smoothing ski slopes, horse race tracks or other example of granular media.
(75) For example, referring to
(76) Although separate embodiment are shown and discussed herein, it should be understood that components of particular embodiments may be combined with other embodiments discussed herein. For example, elements shown and discussed in Applicant's six roller embodiment may be deployed in Applicants four roller or single roller embodiments. Similarly, Applicant's two stage components may be utilized with any combination of hubs, roller types, number of rollers, tubes or no tubes, or other components disclosed herein.
(77) Although particular embodiments have been described herein, it will be appreciated that the invention is not limited thereto and that many modifications and additions thereto may be made within the scope of the invention. For example, various combinations of the features of the following dependent claims can be made with the features of the independent claims without departing from the scope of the present invention.
(78) Thus, it is apparent that there is been provided, in accordance with the invention, a roller assembly for smoothing granular media, such as the sand of a golf course bunker that fully satisfies the objects, aims and advantages set forth above. While the invention has been described in conjunction with specific embodiments thereof, including the interchangeability of components of those embodiments, it is evident that many alternatives, modifications and variations will be apparent to those skilled in the art and in light of the foregoing description. Accordingly, it is intended to embrace all such alternatives, modifications and variations as fall within the spirit of the appended claims.
(79) Thus, the present invention is well adapted to carry out the objectives and attain the ends and advantages mentioned above as well as those inherent therein. While presently preferred embodiments have been described for purposes of this disclosure, numerous changes and modifications will be apparent to those of ordinary skill in the art. Such changes and modifications are encompassed within the spirit of this invention as defined by the claims.