Patent US4028962A successfully refreshed from Google Patents.
US4028962A
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Design and construction of flywheels from anisotropic materials
Assignee: Individual
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Filing: 1975-12-24
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Granted: 1977-06-14
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Expires: 1995-12-24
Abstract
Abstract This invention relates to the design and construction of the body of a flywheel from high strength anisotropic materials so as to provide maximum energy storage. The design is adaptable to fiber composite materials and allows the fibers to be oriented either radially or circumferentially in the body of the flywheel.
Inventors
- 👤 Edwin B. Nelson
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-28 22:16
CPC Classifications
F; F16; F16C; F16C15/00; F16F; F16F15/00; F16F15/30; F16F15/305; Y; Y02; Y02E; Y02E60/00; Y02E60/16; Y10; Y10T; Y10T74/00; Y10T74/21; Y10T74/2117; Y10T74/2119; Y10T74/212
Claims Analysis
Total Claims: 6
Claim 1
Independent Claim
262 words
An energy storing flywheel comprised of a body of anisotropic material shaped symmetrically about a central axis of rotation, and in which: a. the major strength axes of the anisotropic material are oriented circumferentially about the central axis of rotation. b. the minor strength axes of the anisotropic material are oriented perpendicularly to the central axis of rotation, (i.e., radially). c. the thickness of the body of anisotropic material is defined by the formula: t = C r.sup.2m e.sup.-.sup.α.spsp.2r.spsp.2 wherein: C = t.sub.m α.sup.2m e.sup.m m.sup.-.sup.m ##EQU7## t = the thickness of the body of anisotropic material measured parallel to and at a distance r from the central axis of rotation. r = the radial distance measured perpendicularly from the axis of rotation, at which distance the thickness of the flywheel is equal to t. e = the base of "natural" logarithms with the approximate value 2.71828. S.sub.θ= the maximumallowable unit tensile stress in the circumferential direction of the anisotropic material of which the flywheel is composed, with S.sub.θ having a larger value than S r . S r = the maximum allowable unit tensile stress in the radial direction of the anisotropic material of which the flywheel is composed, with S r having a lesser value than S.sub.θ. ρ = the density of the anisotropic material of which the flywheel is composed. ω o = the angular velocity sufficient to induce the stresses S.sub.θand S r throughout the body of anisotropic material. t m = the maximum thickness of the flywheel, which occurs at the radium r m = √ m/α.
Claim 2
Dependent Claim
262 words
An energy storing flywheel comprised of a body of anisotropic material shaped symmetrically about a central axis of rotation, and in which: a. the major strength axes of the anisotropic material are oriented circumferentially about the central axis of rotation. b. the minor strength axes of the anisotropic material are oriented perpendicularly to the central axis of rotation, (i.e., radially). c. the thickness of the body of anisotropic material is defined by the formula: t = C r.sup.2m e.sup.-.sup.α.spsp.2r.spsp.2 wherein: C = t.sub.m α.sup.2m e.sup.m m.sup.-.sup.m ##EQU7## t = the thickness of the body of anisotropic material measured parallel to and at a distance r from the central axis of rotation. r = the radial distance measured perpendicularly from the axis of rotation, at which distance the thickness of the flywheel is equal to t. e = the base of "natural" logarithms with the approximate value 2.71828. S.sub.θ= the maximumallowable unit tensile stress in the circumferential direction of the anisotropic material of which the flywheel is composed, with S.sub.θ having a larger value than S r . S r = the maximum allowable unit tensile stress in the radial direction of the anisotropic material of which the flywheel is composed, with S r having a lesser value than S.sub.θ. ρ = the density of the anisotropic material of which the flywheel is composed. ω o = the angular velocity sufficient to induce the stresses S.sub.θand S r throughout the body of anisotropic material. t m = the maximum thickness of the flywheel, which occurs at the radium r m = √ m/α.
Claim 3
Dependent Claim
157 words
The structure set forth in claim 1 above, wherein the anisotropic material of which the structure is made, is selected from those fiber-composite materials having a high ratio of maximum allowable tensile stress to density (greater than 100,000 joules per kilogram) and which is constructed in the following steps: a. wind the fibers about a central axle to build up a roughly disc shaped body with a maximum radius at least as large as the outer radius (r o ) of the desired flywheel, and of a thickness at least as great as the maximum thickness (t m ) of the desired flywheel. b. impregnate the fiber disc with a bonding material (this step can be performed simultaneously with step a above). c. cure the bonding agent to obtain a solid fiber-composite disc. d. machine away the excess material to achieve the thickness dimensions described in claim 1 above, and a maximum radius of r o .
Claim 4
Dependent Claim
245 words
An energy storing flywheel comprised of a body of anisotropic material shaped symmetrically about a central axis of rotation, and in which: a. The major strength axes of the anisotropic material are oriented perpendicularly to the central axis of rotation, that is, radially. b. the minor strength axes of the anisotropic material are oriented circumferentially to the central axis of rotation. c. the thickness of the solid body of anisotropic material is defined by the formula: t = C r.sup.2m e.sup.-.sup.α.spsp.2 wherein: C = t.sub.o r.sub.o.sup.-.sup.2m e.sup.-.sup.α.spsp.2.sup.r.spsp.2.sub.o ##EQU8## t = the thickness of the solid body of anisotropic material measure parallel to and at a distance r from the central axis of rotation. r = the radial distance measured perpendicularly from the central axis of rotation, at which distance the thickness of the flywheel is equal to t. e = the base of "natural" logarithms with the approximate value 2.71828. S 305 = the maximum allowable unit tensile stress in the radial direction of the anisotropic material of which the flywheel is composed, with S r having a greater value than S.sub.θ. ρ = the density of the anisotropic material of which the flywheel is composed. ω o = the angular velocity sufficient to induce the stresses S.sub.θ and S r throughout the body of anisotropic material. r o = the maximum radial dimension of the flywheel. t o = the minimum thickness of the flywheel, which occurs at the maximum radius, r o .
Claim 5
Dependent Claim
245 words
An energy storing flywheel comprised of a body of anisotropic material shaped symmetrically about a central axis of rotation, and in which: a. The major strength axes of the anisotropic material are oriented perpendicularly to the central axis of rotation, that is, radially. b. the minor strength axes of the anisotropic material are oriented circumferentially to the central axis of rotation. c. the thickness of the solid body of anisotropic material is defined by the formula: t = C r.sup.2m e.sup.-.sup.α.spsp.2 wherein: C = t.sub.o r.sub.o.sup.-.sup.2m e.sup.-.sup.α.spsp.2.sup.r.spsp.2.sub.o ##EQU8## t = the thickness of the solid body of anisotropic material measure parallel to and at a distance r from the central axis of rotation. r = the radial distance measured perpendicularly from the central axis of rotation, at which distance the thickness of the flywheel is equal to t. e = the base of "natural" logarithms with the approximate value 2.71828. S 305 = the maximum allowable unit tensile stress in the radial direction of the anisotropic material of which the flywheel is composed, with S r having a greater value than S.sub.θ. ρ = the density of the anisotropic material of which the flywheel is composed. ω o = the angular velocity sufficient to induce the stresses S.sub.θ and S r throughout the body of anisotropic material. r o = the maximum radial dimension of the flywheel. t o = the minimum thickness of the flywheel, which occurs at the maximum radius, r o .
Claim 6
Dependent Claim
193 words
The structure set forth in claim 3 above, wherein the anisotropic material of which the structure is made, is selected from those fiber-composite materials having a high ratio of maximum allowable tensile stress to density (greater than 100,000 joules per kilogram), and which is constructed in the following steps: a. lay the fibers as diameters and chords across a circle of radius r o , the outer radius of the desired flywheel, to build up a discus shaped body of fibers which everywhere has a thickness greater than the thickness (t) described in claim 2 above except for a central region of radius less than r i , where the thickness will be less than the thickness (t). b. impregnate the discus shaped body of fiber with a bonding material (this step can be performed simultaneously with step a above). c. cure the bonding agent to obtain a solid fiber-composite discus shaped body. d. machine away the excess material in the region between radius r i and radius r o to achieve within that region the thickness dimension described in claim 2 above. e. cut off all material beyond radius r o .
References Cited (Backward Citations)
US3496799A
Cited
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1980-06-13 | 1980-12-13 | 1981-06-14 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1984-06-13 | 1984-12-13 | 1985-06-14 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1988-06-13 | 1988-12-13 | 1989-06-14 | $7700.00 | Window Closed / Lapsed |