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Journal Articles

An Alternating Efficient Approach for Determination of the Non-Stationary Responses of Strongly Nonlinear Systems Driven by Random Excitations

Jiamin Qian, Lincong Chen, Jian-Qiao Sun
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. April 2023, 90(4): 041003.
Paper No: JAM-22-1366
https://doi.org/10.1115/1.4056457
Published Online: January 6, 2023
View Article titled, An Alternating Efficient Approach for Determination of the Non-Stationary Responses of Strongly Nonlinear Systems Driven by Random Excitations
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Topics: Nonlinear systems, Radial basis function networks, Random excitation, Differential equations, Simulation
Journal Articles

A Modified Incremental Harmonic Balance Method Combined With Tikhonov Regularization for Periodic Motion of Nonlinear System

Ze-chang Zheng, Zhong-rong Lu, Yan-mao Chen, Ji-ke Liu, Guang Liu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. February 2022, 89(2): 021001.
Paper No: JAM-21-1263
https://doi.org/10.1115/1.4052573
Published Online: October 18, 2021
View Article titled, A Modified Incremental Harmonic Balance Method Combined With Tikhonov Regularization for Periodic Motion of Nonlinear System
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Topics: Airfoils, Bifurcation, Excitation, Nonlinear systems, Vibration
Journal Articles

Natural Frequencies of Two Nonlinear Systems Compared With the Pendulum

Eber W. Gaylord
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. March 1959, 26(1): 145–146.
https://doi.org/10.1115/1.4011945
Published Online: June 23, 2021
View Article titled, Natural Frequencies of Two Nonlinear Systems Compared With the Pendulum
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Topics: Nonlinear systems, Pendulums
Journal Articles

Discussion: “Natural Forcing Functions in Nonlinear Systems” (Harvey, T. J., 1958, ASME J. Appl. Mech., 25, pp. 352–356)

S. Travers
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. June 1959, 26(2): 309–310.
https://doi.org/10.1115/1.4012020
Published Online: June 23, 2021
View Article titled, Discussion: “Natural Forcing Functions in Nonlinear Systems” (Harvey, T. J., 1958, ASME J. Appl. Mech., 25, pp. 352–356)
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Topics: Nonlinear systems
Journal Articles

Discussion: “Natural Forcing Functions in Nonlinear Systems” (Harvey, T. J., 1958, ASME J. Appl. Mech., 25, pp. 352–356)

H. R. Lang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. June 1959, 26(2): 309.
https://doi.org/10.1115/1.4012019
Published Online: June 23, 2021
View Article titled, Discussion: “Natural Forcing Functions in Nonlinear Systems” (Harvey, T. J., 1958, ASME J. Appl. Mech., 25, pp. 352–356)
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Topics: Nonlinear systems
Journal Articles

Analysis of a Nonlinear Mechanical System With Three Degrees of Freedom

S. A. Hovanessian
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1959, 26(4): 546–548.
https://doi.org/10.1115/1.4012109
Published Online: June 23, 2021
View Article titled, Analysis of a Nonlinear Mechanical System With Three Degrees of Freedom
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Topics: Degrees of freedom, Steady state, Nonlinear systems
Journal Articles

Natural Forcing Functions in Nonlinear Systems

T. J. Harvey
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1958, 25(3): 352–356.
https://doi.org/10.1115/1.4011826
Published Online: June 16, 2021
View Article titled, Natural Forcing Functions in Nonlinear Systems
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Topics: Damping, Frequency response, Linear systems, Nonlinear systems, Oscillations
Journal Articles

A Refined Theory of Elastic, Orthotropic Plates

S. J. Medwadowski
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1958, 25(4): 437–443.
https://doi.org/10.1115/1.4011854
Published Online: June 16, 2021
View Article titled, A Refined Theory of Elastic, Orthotropic Plates
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Topics: Plates (structures), Stress, Elasticity, Nonlinear systems, Partial differential equations, Shear deformation
Journal Articles

Analog Computer for Nonlinear System With Hysteresis

W. T. Thomson
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1957, 24(2): 245–247.
https://doi.org/10.1115/1.4011503
Published Online: June 10, 2021
View Article titled, Analog Computer for Nonlinear System With Hysteresis
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Topics: Computers, Nonlinear systems, Excitation, Deflection, Springs, Stiffness
Journal Articles

The Elastic Coefficients of the Theory of Consolidation

M. A. Biot, D. G. Willis
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1957, 24(4): 594–601.
https://doi.org/10.1115/1.4011606
Published Online: June 10, 2021
View Article titled, The Elastic Coefficients of the Theory of Consolidation
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Topics: Anisotropy, Compressibility, Deformation, Fluids, Linear systems, Nonlinear systems, Porosity, Shear modulus, Stress, Stress-strain relations
Journal Articles

Harmonic Oscillations of Nonlinear Two-Degree-of-Freedom Systems

T. C. Huang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1955, 22(1): 107–110.
https://doi.org/10.1115/1.4010978
Published Online: June 4, 2021
View Article titled, Harmonic Oscillations of Nonlinear Two-Degree-of-Freedom Systems
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Topics: Oscillations, Damping, Degrees of freedom, Nonlinear systems
Journal Articles

Transient Response of a Nonlinear System by a Bilinear Approximation Method

E. I. Ergin
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1956, 23(4): 635–641.
https://doi.org/10.1115/1.4011412
Published Online: June 4, 2021
View Article titled, Transient Response of a Nonlinear System by a Bilinear Approximation Method
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Topics: Approximation, Nonlinear systems, Transients (Dynamics), Numerical analysis, Stress
Journal Articles

A Comprehensive Stability Criterion for Forced Vibrations in Nonlinear Systems

K. Klotter, E. Pinney
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1953, 20(1): 9–12.
https://doi.org/10.1115/1.4010586
Published Online: June 4, 2021
View Article titled, A Comprehensive Stability Criterion for Forced Vibrations in Nonlinear Systems
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Topics: Nonlinear systems, Stability, Vibration, Differential equations
Journal Articles

Response Curves for a System With Softening Restoring Force

H. N. Abramson
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. September 1955, 22(3): 434–435.
https://doi.org/10.1115/1.4011105
Published Online: June 4, 2021
View Article titled, Response Curves for a System With Softening Restoring Force
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Topics: Nonlinear systems
Journal Articles

On One-Term Approximations of Forced Nonharmonic Vibrations

G. Schwesinger
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1950, 17(2): 202–208.
https://doi.org/10.1115/1.4010100
Published Online: April 5, 2021
View Article titled, On One-Term Approximations of Forced Nonharmonic Vibrations
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Topics: Approximation, Vibration, Errors, Nonlinear systems, Waves
Journal Articles

Free Periodic Motions of an Undamped Two-Degree-of-Freedom Oscillatory System With Nonlinear Unsymmetrical Elasticity

Walter W. Soroka
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1950, 17(2): 185–190.
https://doi.org/10.1115/1.4010098
Published Online: April 5, 2021
View Article titled, Free Periodic Motions of an Undamped Two-Degree-of-Freedom Oscillatory System With Nonlinear Unsymmetrical Elasticity
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Topics: Aircraft, Deflection, Elasticity, Engines, Linear systems, Nonlinear systems, Oscillations, Propellers, Springs, Stress
Journal Articles

Vibration of a Nonlinear System During Acceleration Through Resonance

R. B. Meuser, E. E. Weibel
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 1948, 15(1): 21–24.
https://doi.org/10.1115/1.4009754
Published Online: March 12, 2021
View Article titled, Vibration of a Nonlinear System During Acceleration Through Resonance
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Topics: Damping, Elasticity, Linear systems, Machinery, Nonlinear systems, Resonance, Springs, Stress, Vibration, Waves
Journal Articles

A Mechanical Analyzer for the Solution of Vibration Problems of a Single Degree of Freedom

E. E. Weibel, N. M. Cokyucel, R. E. Blau
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1948, 15(2): 146–150.
https://doi.org/10.1115/1.4009797
Published Online: March 12, 2021
View Article titled, A Mechanical Analyzer for the Solution of Vibration Problems of a Single Degree of Freedom
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Topics: Bearings, Construction, Damping, Degrees of freedom, Elasticity, Nonlinear systems, Vibration
Journal Articles

Discussion: “Vibration of a Nonlinear System During Acceleration Through Resonance” (Meuser, R. B., and Weibel, E. E., 1948, ASME J. Appl. Mech., 15, pp. 21–24)

F. M. Lewis
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Discussions
J. Appl. Mech. December 1948, 15(4): 388–389.
https://doi.org/10.1115/1.4009869
Published Online: March 12, 2021
View Article titled, Discussion: “Vibration of a Nonlinear System During Acceleration Through Resonance” (Meuser, R. B., and Weibel, E. E., 1948, ASME J. Appl. Mech., 15, pp. 21–24)
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Topics: Nonlinear systems, Resonance, Vibration
Journal Articles

Closure to “Discussion of ‘Vibration of a Nonlinear System During Acceleration Through Resonance’” (1948, ASME J. Appl. Mech., 15, pp. 388–389)

R. B. Meuser, E. E. Weibel
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Closures
J. Appl. Mech. December 1948, 15(4): 389.
https://doi.org/10.1115/1.4009870
Published Online: March 12, 2021
View Article titled, Closure to “Discussion of ‘Vibration of a Nonlinear System During Acceleration Through Resonance’” (1948, ASME J. Appl. Mech., 15, pp. 388–389)
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Topics: Nonlinear systems, Vibration