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Journal Articles

Marginal Instability and Intermittency in Stochastic Systems—Part II: Systems With Rapid Random Variations in Parameters

M. F. Dimentberg, A. Hera, A. Naess

Publisher: ASME

J. Appl. Mech. May 2009, 76(3): 031002.

https://doi.org/10.1115/1.3086593

Published Online: March 5, 2009

View Article titled, Marginal Instability and Intermittency in Stochastic Systems—Part II: Systems With Rapid Random Variations in Parameters

Topics: Approximation, Computer simulation, Damping, Dynamic systems, Markov processes, Partial differential equations, Probability, Stability, Stochastic systems, Transients (Dynamics)

Journal Articles

Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

P. D. Spanos, A. Sofi, M. Di Paola

Publisher: ASME

J. Appl. Mech. March 2007, 74(2): 315–324.

https://doi.org/10.1115/1.2198253

Published Online: February 6, 2006

View Article titled, Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

Topics: Boundary-value problems, Differential equations, Eigenfunctions, Fokker-Planck equation, Probability, White noise, Harmonic oscillators, Computer simulation, Approximation, Density

Journal Articles

Stochastic Dynamics of Impact Oscillators

N. Sri Namachchivaya, Jun H. Park

Publisher: ASME

J. Appl. Mech. November 2005, 72(6): 862–870.

https://doi.org/10.1115/1.2041660

Published Online: September 29, 2004

View Article titled, Stochastic Dynamics of Impact Oscillators

Topics: Bifurcation, Density, Dynamics (Mechanics), Generators, Markov processes, Noise (Sound), Pendulums, Probability, Gluing, Fokker-Planck equation

Journal Articles

Analytical Study of the Duffing Oscillator Excited by Colored Noise Using a Systematic Adiabatic Expansion

M. M. Wu, K. Y. R. Billah, M. Shinozuka

Publisher: ASME

J. Appl. Mech. December 1996, 63(4): 1027–1032.

https://doi.org/10.1115/1.2787224

Published Online: December 1, 1996

View Article titled, Analytical Study of the Duffing Oscillator Excited by Colored Noise Using a Systematic Adiabatic Expansion

Topics: Noise (Sound), Computer simulation, Density, Fokker-Planck equation, Inertia (Mechanics), Nonlinear systems, Probability, Simulation

Journal Articles

Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors

H. Lin, S. C. S. Yim

Publisher: ASME

J. Appl. Mech. June 1996, 63(2): 509–516.

https://doi.org/10.1115/1.2788897

Published Online: June 1, 1996

View Article titled, Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors

Topics: Nonlinear systems, Chaos, Density, Dynamics (Mechanics), Noise (Sound), Probability, Approximation, Attractors, Computer simulation, Fokker-Planck equation

Journal Articles

The Response Spectrum of a Nonlinear Oscillator

Huw G. Davies, Qiang Liu

Publisher: ASME

J. Appl. Mech. June 1992, 59(2): 459–462.

https://doi.org/10.1115/1.2899546

Published Online: June 1, 1992

View Article titled, The Response Spectrum of a Nonlinear Oscillator

Topics: Algebra, Approximation, Density, Fokker-Planck equation, Fourier transforms, Polynomials, Probability, Spectra (Spectroscopy), Statistics, White noise

Journal Articles

The Fokker-Planck Equation: Methods of Solution and Application, 2nd ed.

H. Risken, Author, T. K. Caugheyz, Reviewer

Publisher: ASME

J. Appl. Mech. September 1991, 58(3): 860.

https://doi.org/10.1115/1.2897281

Published Online: September 1, 1991

View Article titled, The Fokker-Planck Equation: Methods of Solution and Application, 2nd ed.

Topics: Fokker-Planck equation

Journal Articles

First-Passage Time for Oscillators With Nonlinear Damping

J. B. Roberts

Publisher: ASME

J. Appl. Mech. March 1978, 45(1): 175–180.

https://doi.org/10.1115/1.3424223

Published Online: March 1, 1978

View Article titled, First-Passage Time for Oscillators With Nonlinear Damping

Topics: Damping, Fokker-Planck equation, Computer simulation, Failure, Markov processes, Probability

Journal Articles

Narrow-Band Excitation of a Nonlinear Oscillator

W. C. Lennox, Y. C. Kuak

Publisher: ASME

J. Appl. Mech. June 1976, 43(2): 340–344.

https://doi.org/10.1115/1.3423836

Published Online: June 1, 1976

View Article titled, Narrow-Band Excitation of a Nonlinear Oscillator

Topics: Excitation, Fokker-Planck equation, Hardening, Noise (Sound), Probability

Journal Articles

Random Vibrations of Plates With Large Amplitudes

R. E. Herbert

Publisher: ASME

J. Appl. Mech. September 1965, 32(3): 547–552.

https://doi.org/10.1115/1.3627257

Published Online: September 1, 1965

View Article titled, Random Vibrations of Plates With Large Amplitudes

Topics: Plates (structures), Random vibration, Density, Probability, Boundary-value problems, Computation, Displacement, Excitation, Fokker-Planck equation, Markov processes

Journal Articles

Response of a Loaded Nonlinear String to Random Excitation

S. T. Ariaratnam

Publisher: ASME

J. Appl. Mech. September 1962, 29(3): 483–485.

https://doi.org/10.1115/1.3640592

Published Online: September 1, 1962

View Article titled, Response of a Loaded Nonlinear String to Random Excitation

Topics: Random excitation, String, Fokker-Planck equation, Excitation, Stochastic processes, Tension, White noise

Journal Articles

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

S. H. Crandall

Publisher: ASME

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

Marginal Instability and Intermittency in Stochastic Systems—Part II: Systems With Rapid Random Variations in Parameters

Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

Stochastic Dynamics of Impact Oscillators

Analytical Study of the Duffing Oscillator Excited by Colored Noise Using a Systematic Adiabatic Expansion

Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors

The Response Spectrum of a Nonlinear Oscillator

The Fokker-Planck Equation: Methods of Solution and Application, 2nd ed.

First-Passage Time for Oscillators With Nonlinear Damping

Narrow-Band Excitation of a Nonlinear Oscillator

Random Vibrations of Plates With Large Amplitudes

Response of a Loaded Nonlinear String to Random Excitation

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

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