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T. R. Kane
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Journal Articles

Discussion: “The Effect of Product-of-Inertia Coupling on the Natural Frequencies of a Rigid Body on Resilient Supports” (Crede, C. E., 1958, ASME J. Appl. Mech., 25, pp. 541–545)

T. R. Kane
Journal: Journal of Applied Mechanics
Article Type: Discussions
J. Appl. Mech. June 1959, 26(2): 311–312.
https://doi.org/10.1115/1.4012024
Published Online: June 23, 2021
View Article titled, Discussion: “The Effect of Product-of-Inertia Coupling on the Natural Frequencies of a Rigid Body on Resilient Supports” (Crede, C. E., 1958, ASME J. Appl. Mech., 25, pp. 541–545)
Open the PDF for Discussion: “The Effect of Product-of-Inertia Coupling on the Natural Frequencies of a Rigid Body on Resilient Supports” (Crede, C. E., 1958, ASME J. Appl. Mech., 25, pp. 541–545) in another window
Topics: Inertia (Mechanics)
Journal Articles

Axially Symmetric Extensional Vibrations of a Circular Disk With a Concentric Hole

O. G. Gustafsson, T. R. Kane
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. December 1959, 26(4): 541–545.
https://doi.org/10.1115/1.4012108
Published Online: June 23, 2021
View Article titled, Axially Symmetric Extensional Vibrations of a Circular Disk With a Concentric Hole
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Topics: Disks, Vibration, Plates (structures)
Journal Articles

Reflection of Dilatational Waves at the Edge of a Plate

T. R. Kane
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. June 1957, 24(2): 219–227.
https://doi.org/10.1115/1.4011499
Published Online: June 10, 2021
View Article titled, Reflection of Dilatational Waves at the Edge of a Plate
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Topics: Reflection, Waves, Plate theory, Shear waves, Stress
Journal Articles

Reflection of Flexural Waves at the Edge of a Plate

T. R. Kane
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. September 1954, 21(3): 213–220.
https://doi.org/10.1115/1.4010896
Published Online: June 4, 2021
View Article titled, Reflection of Flexural Waves at the Edge of a Plate
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Topics: Reflection, Waves, Plate theory, Shear waves
Journal Articles

High-Frequency Extensional Vibrations of Plates

T. R. Kane, R. D. Mindlin
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. June 1956, 23(2): 277–283.
https://doi.org/10.1115/1.4011300
Published Online: June 4, 2021
View Article titled, High-Frequency Extensional Vibrations of Plates
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Topics: Plates (structures), Vibration, Stress, Disks
Journal Articles

Discussion: “On Energy Rate Theorems for Linear First-Order Nonholonomic Systems” (Papastavridis, John G., 1991, ASME J. Appl Mech., 58, pp. 536–544)

T. R. Kane, D. A. Levinson
Journal: Journal of Applied Mechanics
Article Type: Discussions
J. Appl. Mech. March 1992, 59(1): 241–242.
https://doi.org/10.1115/1.2899453
Published Online: March 1, 1992
View Article titled, Discussion: “On Energy Rate Theorems for Linear First-Order Nonholonomic Systems” (Papastavridis, John G., 1991, ASME J. Appl Mech., 58, pp. 536–544)
Open the PDF for Discussion: “On Energy Rate Theorems for Linear First-Order Nonholonomic Systems” (Papastavridis, John G., 1991, ASME J. Appl Mech., 58, pp. 536–544) in another window
Topics: Theorems (Mathematics)
Journal Articles

Testing Numerical Integrations of Equations of Motion

T. R. Kane, D. A. Levinson
Journal: Journal of Applied Mechanics
Article Type: Technical Briefs
J. Appl. Mech. March 1990, 57(1): 248–249.
https://doi.org/10.1115/1.2888312
Published Online: March 1, 1990
View Article titled, Testing Numerical Integrations of Equations of Motion
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Topics: Equations of motion, Testing
Journal Articles

Dynamics of a Plate in Large Overall Motion

A. K. Banerjee, T. R. Kane
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. December 1989, 56(4): 887–892.
https://doi.org/10.1115/1.3176187
Published Online: December 1, 1989
View Article titled, Dynamics of a Plate in Large Overall Motion
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Topics: Dynamics (Mechanics), Elastic plates, Equations of motion, Rotation, Vibration
Journal Articles

A Method for Testing Numerical Integrations of Equations of Motion of Mechanical Systems

T. R. Kane, D. A. Levinson
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. September 1988, 55(3): 711–715.
https://doi.org/10.1115/1.3125854
Published Online: September 1, 1988
View Article titled, A Method for Testing Numerical Integrations of Equations of Motion of Mechanical Systems
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Topics: Equations of motion, Testing, Angular momentum, Differential equations, Energy conservation
Journal Articles

Integrals of Linearized Differential Equations of Motion of Mechanical Systems; Part I: Linearized Differential Equations

T. R. Kane, S. Djerassi
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. September 1987, 54(3): 656–660.
https://doi.org/10.1115/1.3173084
Published Online: September 1, 1987
View Article titled, Integrals of Linearized Differential Equations of Motion of Mechanical Systems; Part I: Linearized Differential Equations
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Topics: Differential equations, Theorems (Mathematics), Nonlinear differential equations
Journal Articles

Integrals of Linearized Differential Equations of Motion of Mechanical Systems; Part II: Linearized Equations of Motion

T. R. Kane, S. Djerassi
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. September 1987, 54(3): 661–667.
https://doi.org/10.1115/1.3173085
Published Online: September 1, 1987
View Article titled, Integrals of Linearized Differential Equations of Motion of Mechanical Systems; Part II: Linearized Equations of Motion
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Topics: Differential equations, Equations of motion, Theorems (Mathematics)
Journal Articles

Approximate Solution of Differential Equations Governing the Orientation of a Rigid Body in a Reference Frame

T. R. Kane, D. A. Levinson
Journal: Journal of Applied Mechanics
Article Type: Technical Briefs
J. Appl. Mech. March 1987, 54(1): 232–234.
https://doi.org/10.1115/1.3172967
Published Online: March 1, 1987
View Article titled, Approximate Solution of Differential Equations Governing the Orientation of a Rigid Body in a Reference Frame
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Topics: Differential equations
Journal Articles

Multibody Dynamics

T. R. Kane, D. A. Levinson
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. December 1983, 50(4b): 1071–1078.
https://doi.org/10.1115/1.3167189
Published Online: December 1, 1983
View Article titled, Multibody Dynamics
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Topics: Multibody dynamics
Journal Articles

A Conservation Theorem for Simple Nonholonomic Systems

T. R. Kane, A. K. Banerjee
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. September 1983, 50(3): 647–651.
https://doi.org/10.1115/1.3167104
Published Online: September 1, 1983
View Article titled, A Conservation Theorem for Simple Nonholonomic Systems
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Topics: Theorems (Mathematics)
Journal Articles

Spacecraft Dynamics

T. R. Kane, Author, P. W. Likins, Author, D. A. Levinson, Author, R. L. Huston, Reviewer
Journal: Journal of Applied Mechanics
Article Type: Book Reviews
J. Appl. Mech. June 1983, 50(2): 477–478.
https://doi.org/10.1115/1.3167078
Published Online: June 1, 1983
View Article titled, Spacecraft Dynamics
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Topics: Dynamics (Mechanics), Space vehicles
Journal Articles

Kinetic Energy Bounds for Gyrostats

T. R. Kane
Journal: Journal of Applied Mechanics
Article Type: Technical Briefs
J. Appl. Mech. June 1979, 46(2): 459–461.
https://doi.org/10.1115/1.3424573
Published Online: June 1, 1979
View Article titled, Kinetic Energy Bounds for Gyrostats
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Topics: Kinetic energy
Journal Articles

A Realistic Solution of the Symmetric Top Problem

T. R. Kane, D. A. Levinson
Journal: Journal of Applied Mechanics
Article Type: Research Papers
J. Appl. Mech. December 1978, 45(4): 903–909.
https://doi.org/10.1115/1.3424439
Published Online: December 1, 1978
View Article titled, A Realistic Solution of the Symmetric Top Problem
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Topics: Algorithms, Computer software, Friction, Surface roughness
Journal Articles

Successive Finite Rotations

T. R. Kane, D. A. Levinson
Journal: Journal of Applied Mechanics
Article Type: Technical Briefs
J. Appl. Mech. December 1978, 45(4): 945–946.
https://doi.org/10.1115/1.3424451
Published Online: December 1, 1978
View Article titled, Successive Finite Rotations
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Journal Articles

Dynamics of Multibody Systems

K. Magnus, Editor, T. R. Kane, Reviewer
Journal: Journal of Applied Mechanics
Article Type: Book Reviews
J. Appl. Mech. December 1978, 45(4): 968.
https://doi.org/10.1115/1.3424472
Published Online: December 1, 1978
View Article titled, Dynamics of Multibody Systems
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Topics: Dynamics (Mechanics), Multibody systems
Journal Articles

Angular Momentum, Kinetic Energy, and Generalized Inertia Forces for a Gyrostat

T. R. Kane
Journal: Journal of Applied Mechanics
Article Type: Technical Briefs
J. Appl. Mech. September 1976, 43(3): 515–517.
https://doi.org/10.1115/1.3423909
Published Online: September 1, 1976
View Article titled, Angular Momentum, Kinetic Energy, and Generalized Inertia Forces for a Gyrostat
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Topics: Angular momentum, Inertia (Mechanics), Kinetic energy