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Journal Articles

Nonstationary Stochastic Response of Hysteretic Systems Endowed With Fractional Derivative Elements

Wei Zhang, Pol D. Spanos, Alberto Di Matteo

J. Appl. Mech. June 2023, 90(6): 061011.

Paper No: JAM-23-1016

https://doi.org/10.1115/1.4056946

Published Online: March 16, 2023

View Article titled, Nonstationary Stochastic Response of Hysteretic Systems Endowed With Fractional Derivative Elements

Topics: Differential equations, Dimensions, Displacement, Excitation, Hysteretic systems, Linearization techniques, Simulation, Statistics, Linear systems

Journal Articles

Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics

Isaac Elishakoff, Lova Andriamasy

J. Appl. Mech. July 2010, 77(4): 044501.

https://doi.org/10.1115/1.4000899

Published Online: March 25, 2010

View Article titled, Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics

Topics: Dynamics (Mechanics), Linearization techniques, Potential energy, Nonlinear dynamical systems, Stochastic processes, Approximation, Stiffness

Journal Articles

Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique

R. N. Iyengar, P. K. Dash

J. Appl. Mech. June 1978, 45(2): 393–399.

https://doi.org/10.1115/1.3424308

Published Online: June 1, 1978

View Article titled, Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique

Topics: Nonlinear systems, Random vibration, Excitation, Density, Linearization techniques, Probability, Statistics, White noise

Journal Articles

Application of Statistical Linearization Techniques to Nonlinear Multidegree-of-Freedom Systems

W. D. Iwan, I-Min Yang

J. Appl. Mech. June 1972, 39(2): 545–550.

https://doi.org/10.1115/1.3422714

Published Online: June 1, 1972

View Article titled, Application of Statistical Linearization Techniques to Nonlinear Multidegree-of-Freedom Systems

Topics: Dynamic systems, Linear systems, Linearization techniques

Journal Articles

Discussion: “An Approximate Equivalent Linearization Technique for Nonlinear Oscillations” (Denman, H. H., 1969, ASME J. Appl. Mech., 36, pp. 358–360)

R. E. Jonckheere

J. Appl. Mech. June 1971, 38(2): 564–565.

https://doi.org/10.1115/1.3408834

Published Online: June 1, 1971

View Article titled, Discussion: “An Approximate Equivalent Linearization Technique for Nonlinear Oscillations” (Denman, H. H., 1969, ASME J. Appl. Mech., 36, pp. 358–360)

Topics: Linearization techniques, Oscillations

Journal Articles

Closure to “Discussion of ‘An Approximate Equivalent Linearization Technique for Nonlinear Oscillations’” (1971, ASME J. Appl. Mech., 38, pp. 564–565)

H. H. Denman

J. Appl. Mech. June 1971, 38(2): 565.

https://doi.org/10.1115/1.3408835

Published Online: June 1, 1971

View Article titled, Closure to “Discussion of ‘An Approximate Equivalent Linearization Technique for Nonlinear Oscillations’” (1971, ASME J. Appl. Mech., 38, pp. 564–565)

Topics: Linearization techniques

Journal Articles

An Approximate Equivalent Linearization Technique for Nonlinear Oscillations

H. H. Denman

J. Appl. Mech. June 1969, 36(2): 358–360.

https://doi.org/10.1115/1.3564651

Published Online: June 1, 1969

View Article titled, An Approximate Equivalent Linearization Technique for Nonlinear Oscillations

Topics: Linearization techniques, Oscillations

Journal Articles

A Study of Linearized Approximations to the Boundary-Layer Equations

Joseph A. Schetz, Joseph Jannone

J. Appl. Mech. December 1965, 32(4): 757–764.

https://doi.org/10.1115/1.3627313

Published Online: December 1, 1965

View Article titled, A Study of Linearized Approximations to the Boundary-Layer Equations

Topics: Approximation, Boundary layers, Flow (Dynamics), Pressure, Linearization techniques

Journal Articles

Random Vibration of a Nonlinear System With a Set-up Spring

S. H. Crandall

J. Appl. Mech. September 1962, 29(3): 477–482.

https://doi.org/10.1115/1.3640591

Published Online: September 1, 1962

View Article titled, Random Vibration of a Nonlinear System With a Set-up Spring

Topics: Nonlinear systems, Random vibration, Springs, Density, Probability, Fokker-Planck equation, Linearization techniques

Journal citation

NARROW

Nonstationary Stochastic Response of Hysteretic Systems Endowed With Fractional Derivative Elements

Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics

Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique

Application of Statistical Linearization Techniques to Nonlinear Multidegree-of-Freedom Systems

Discussion: “An Approximate Equivalent Linearization Technique for Nonlinear Oscillations” (Denman, H. H., 1969, ASME J. Appl. Mech., 36, pp. 358–360)

Closure to “Discussion of ‘An Approximate Equivalent Linearization Technique for Nonlinear Oscillations’” (1971, ASME J. Appl. Mech., 38, pp. 564–565)

An Approximate Equivalent Linearization Technique for Nonlinear Oscillations

A Study of Linearized Approximations to the Boundary-Layer Equations

Random Vibration of a Nonlinear System With a Set-up Spring

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