US2017185697A1PendingUtilityA1
Systems and methods for designing kinetic shapes
Est. expiryFeb 12, 2034(~7.6 yrs left)· nominal 20-yr term from priority
A63B 21/155A63B 22/20A61H 2201/1284A61H 3/02A61H 2201/1633A63B 21/068A63B 21/012A61H 2201/1623A61H 3/0288A61H 2201/1418A61H 1/0292F16K 17/34A63B 22/16G06F 17/11A61H 2201/164A61H 1/0222A61H 3/00G06F 2119/14G06F 30/00G06F 30/10G06F 17/50
47
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Claims
Abstract
In one embodiment, a kinetic shape is designed by determining an applied force to be applied to an object that is to incorporate the kinetic shape, determining a reactive force that is desired to be produced in response to the applied force, inputting the applied force and the reactive force into a kinetic shape equation, and solving the equation to obtain the kinetic shape.
Claims
exact text as granted — not AI-modified1 . A method for designing a kinetic shape, the method comprising:
identifying an applied force to be applied to an object that is to incorporate the kinetic shape; identifying a reactive force that is desired to be produced in response to the applied force; inputting the applied force and the reactive force into a kinetic shape equation; and solving the equation to obtain the kinetic shape.
2 . The method of claim 1 , wherein identifying an applied force comprises identifying a constant force.
3 . The method of claim 1 , wherein identifying an applied force comprises identifying a variable force that varies as a function of an angle through which the kinetic shape rotates.
4 . The method of claim 1 , wherein identifying a reactive force comprises identifying a constant force.
5 . The method of claim 1 , wherein identifying a reactive force comprises identifying a variable force that varies as a function of an angle through which the kinetic shape rotates.
6 . The method of claim 1 , wherein identifying an applied force comprises determining a force to be applied to the object by a particular system or individual and wherein identifying a reactive force comprises determining a reaction force desirable for the particular system or individual such that the kinetic shape is custom designed for the system or individual.
7 . The method of claim 1 , wherein the kinetic shape equation defines two-dimensional kinetic shapes and is mathematically defined as:
R
(
θ
)
=
R
(
θ
i
)
exp
[
∫
F
r
(
θ
)
F
v
(
θ
)
d
θ
]
where θ is an angular position around the kinetic shape, R is a radius of the kinetic shape, F v is the applied force, F r is the reactive force, and θ i is an initial angle of the kinetic shape.
8 . The method of claim 1 , wherein the kinetic shape equation defines three-dimensional kinetic shapes and is mathematically defined as:
R
r
(
θ
,
φ
)
=
R
r
(
θ
i
,
φ
i
)
exp
[
∫
F
r
(
θ
,
φ
)
F
v
(
θ
,
φ
)
d
θ
]
R
r
(
θ
,
φ
)
=
R
t
(
θ
i
,
φ
i
)
exp
[
∫
F
t
(
θ
,
φ
)
F
r
(
θ
,
φ
)
d
φ
]
where θ is an elevation angle around the kinetic shape, φ is an azimuth angle around the kinetic shape, R r is a shape radius in the radial direction, R t is a shape radius in the tangential direction, F v is the applied force, F r is a radial ground reaction force, F t is a tangential ground reaction force, and θ i and φ i are the initial elevation and azimuth angles, respectively.
9 . A non-transitory computer-readable medium that stores a kinetic shape derivation module, the module comprising:
logic configured to identify an applied force to be applied to an object that is to incorporate the kinetic shape; logic configured to identify a reactive force that is desired to be produced in response to the applied force; logic configured to input the applied force and the reactive force into a kinetic shape equation; and logic configured to solve the equation to obtain the kinetic shape.
10 . The computer-readable medium of claim 9 , wherein the kinetic shape equation defines two-dimensional kinetic shapes and is mathematically defined as:
R
(
θ
)
=
R
(
θ
i
)
exp
[
∫
F
r
(
θ
)
F
v
(
θ
)
d
θ
]
where θ is an angular position around the kinetic shape, R is a radius of the kinetic shape, F v is the applied force, F r is the reactive force, and θ i is an initial angle of the kinetic shape.
11 . The computer-readable medium of claim 9 , wherein the kinetic shape equation defines three-dimensional kinetic shapes and is mathematically defined as:
R
r
(
θ
,
φ
)
=
R
r
(
θ
i
,
φ
i
)
exp
[
∫
F
r
(
θ
,
φ
)
F
v
(
θ
,
φ
)
d
θ
]
R
r
(
θ
,
φ
)
=
R
t
(
θ
i
,
φ
i
)
exp
[
∫
F
t
(
θ
,
φ
)
F
r
(
θ
,
φ
)
d
φ
]
where θ is an elevation angle around the kinetic shape, φ is an azimuth angle around the kinetic shape, R r is a shape radius in the radial direction, R t is a shape radius in the tangential direction, F v is the applied force, F r is a radial ground reaction force, F t is a tangential ground reaction force, and θ i and φ i are the initial elevation and azimuth angles, respectively.
12 . A physical object that incorporates a kinetic shape, the object designed using a process comprising:
identifying an applied force to be applied to the object; identifying a reactive force that is desired to be produced in response to the applied force; inputting the applied force and the reactive force into a kinetic shape equation; and solving the equation to obtain the kinetic shape.
13 . The object of claim 12 , wherein identifying an applied force comprises determining a force to be applied to the object by a particular system or individual and wherein identifying a reactive force comprises determining a reaction force desirable for the particular system or individual such that the kinetic shape is custom designed for the system or individual.
14 . The object of claim 12 , wherein the kinetic shape equation defines two-dimensional kinetic shapes and is mathematically defined as:
R
(
θ
)
=
R
(
θ
i
)
exp
[
∫
F
r
(
θ
)
F
v
(
θ
)
d
θ
]
where θ is an angular position around the kinetic shape, R is a radius of the kinetic shape, F v is the applied force, F r is the reactive force, and θ i is an initial angle of the kinetic shape.
15 . The object of claim 12 , wherein the kinetic shape equation defines three-dimensional kinetic shapes and is mathematically defined as:
R
r
(
θ
,
φ
)
=
R
r
(
θ
i
,
φ
i
)
exp
[
∫
F
r
(
θ
,
φ
)
F
v
(
θ
,
φ
)
d
θ
]
R
r
(
θ
,
φ
)
=
R
t
(
θ
i
,
φ
i
)
exp
[
∫
F
t
(
θ
,
φ
)
F
r
(
θ
,
φ
)
d
φ
]
where θ is an elevation angle around the kinetic shape, φ is an azimuth angle around the kinetic shape, R r is a shape radius in the radial direction, R t is a shape radius in the tangential direction, F v is the applied force, F r is a radial ground reaction force, F t is a tangential ground reaction force, and θ i and φ i are the initial elevation and azimuth angles, respectively.
16 . The object of claim 12 , wherein the object is a gait enhancing mobile shoe that includes wheels incorporating the kinetic shape.
17 . The object of claim 12 , wherein the object is a walking crutch or cane that includes a tip that incorporates the kinetic shape.
18 . The object of claim 12 , wherein the object is a prosthetic device that includes a sole that incorporates the kinetic shape.
19 . The object of claim 12 , wherein the object is a rocking board that includes an elongated platform having a kinetic shape element at each end that incorporates the kinetic shape.
20 . The object of claim 12 , wherein the kinetic shape is a curve having a non-constant radius.
21 . The method of claim 1 , further comprising constructing a physical object that incorporates the kinetic shape.Join the waitlist — get patent alerts
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