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Proc. ASME. IDETC-CIE2005, Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 1719-1733, September 24–28, 2005

Paper No: DETC2005-84361

DOI: https://doi.org/10.1115/DETC2005-84361

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Topics: Optimal control, Reliability

Journal Articles

Stationary Response of MDOF Dissipated Hamiltonian Systems to Poisson White Noises

Y. Wu, W. Q. Zhu

J. Appl. Mech. July 2008, 75(4): 044502.

DOI: https://doi.org/10.1115/1.2912987

Published Online: May 14, 2008

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Topics: Excitation, Noise (Sound), White noise, Probability, Impulse (Physics), Trains, Density, Simulation

Journal Articles

Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation

W. Q. Zhu

Appl. Mech. Rev. July 2006, 59(4): 230–248.

DOI: https://doi.org/10.1115/1.2193137

Published Online: July 1, 2006

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Topics: Bifurcation, Excitation, Noise (Sound), Nonlinear systems, Optimal control, Probability, Resonance, Stability, Dynamics (Mechanics), Stochastic systems

Journal Articles

Feedback Stabilization of Quasi-Integrable Hamiltonian Systems

W. Q. Zhu, Professor, Z. L. Huang, Associate Professor

J. Appl. Mech. January 2003, 70(1): 129–136.

DOI: https://doi.org/10.1115/1.1483833

Published Online: January 23, 2003

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Topics: Computer programming, Feedback, Optimal control, Stability, Probability, Differential equations, Design

Journal Articles

First-Passage Failure of Quasi-Integrable Hamiltonian Systems

W. Q. Zhu, Professor, M. L. Deng, Graduate Student, Z. L. Huang, Associate Professor

J. Appl. Mech. May 2002, 69(3): 274–282.

DOI: https://doi.org/10.1115/1.1460912

Published Online: May 3, 2002

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Topics: Boundary-value problems, Density, Differential equations, Failure, Probability, Reliability, Computer simulation

Journal Articles

Lyapunov Exponents and Stochastic Stability of Quasi-Integrable-Hamiltonian Systems

W. Q. Zhu, Z. L. Huang

J. Appl. Mech. March 1999, 66(1): 211–217.

DOI: https://doi.org/10.1115/1.2789148

Published Online: March 1, 1999

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Topics: Stability, Bifurcation, Damping, Degrees of freedom, Excitation, Noise (Sound), Stochastic systems

Journal Articles

Stochastic Averaging of Quasi-Integrable Hamiltonian Systems

W. Q. Zhu, Z. L. Huang, Y. Q. Yang

J. Appl. Mech. December 1997, 64(4): 975–984.

DOI: https://doi.org/10.1115/1.2789009

Published Online: December 1, 1997

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Topics: Density, Excitation, Noise (Sound), Probability, Resonance

Journal Articles

Equivalent Nonlinear System Method for Stochastically Excited and Dissipated Integrable Hamiltonian Systems

W. Q. Zhu, Y. Lei

J. Appl. Mech. March 1997, 64(1): 209–216.

DOI: https://doi.org/10.1115/1.2787275

Published Online: March 1, 1997

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Topics: Nonlinear systems, Energy dissipation, Damping, Density, Excitation, Noise (Sound), Probability

Journal Articles

Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems

W. Q. Zhu, Y. Q. Yang

J. Appl. Mech. March 1997, 64(1): 157–164.

DOI: https://doi.org/10.1115/1.2787267

Published Online: March 1, 1997

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Topics: Density, Excitation, Noise (Sound), Nonlinear systems, Probability, Statistics

Journal Articles

Recent Developments and Applications of the Stochastic Averaging Method in Random Vibration

W. Q. Zhu

Appl. Mech. Rev. October 1996, 49(10S): S72–S80.

DOI: https://doi.org/10.1115/1.3101980

Published Online: October 1, 1996

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Topics: Random vibration

Journal Articles

Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems

W. Q. Zhu, Y. Q. Yang

J. Appl. Mech. June 1996, 63(2): 493–500.

DOI: https://doi.org/10.1115/1.2788895

Published Online: June 1, 1996

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Topics: Degrees of freedom, Excitation, Resonance, Stochastic systems

Journal Articles

Nonlinear Fatigue Damage Accumulation Under Random Loading

W. Q. Zhu, M. X. Jiang, Ph.D.

J. Pressure Vessel Technol. May 1996, 118(2): 168–173.

DOI: https://doi.org/10.1115/1.2842176

Published Online: May 1, 1996

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Topics: Fatigue damage, Damage, Stress, Fatigue life, Probability, Reliability, Structural elements (Construction)

Journal Articles

Equivalent Nonlinear System Method for Stochastically Excited Hamiltonian Systems

W. Q. Zhu, T. T. Soong, Y. Lei

J. Appl. Mech. September 1994, 61(3): 618–623.

DOI: https://doi.org/10.1115/1.2901504

Published Online: September 1, 1994

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Topics: Nonlinear systems, Energy dissipation, Damping, Density, Excitation, Probability, White noise

Journal Articles

Stochastic Response of Hysteretic Systems to Narrow-Band Excitation

W. Q. Zhu, C. D. Huang, T. T. Soong

J. Appl. Mech. March 1994, 61(1): 211–213.

DOI: https://doi.org/10.1115/1.2901405

Published Online: March 1, 1994

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Topics: Excitation

Journal Articles

Stochastic Averaging Methods in Random Vibration

W. Q. Zhu

Appl. Mech. Rev. May 1988, 41(5): 189–199.

DOI: https://doi.org/10.1115/1.3151891

Published Online: May 1, 1988

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Topics: Random vibration, Reliability, Stability

Journal Articles

Random Vibration: A Survey of Recent Developments

S. H. Crandall, W. Q. Zhu

J. Appl. Mech. December 1983, 50(4b): 953–962.

DOI: https://doi.org/10.1115/1.3167208

Published Online: December 1, 1983

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Topics: Random vibration, Engineering disciplines, Excitation, Nonlinear systems, Random excitation, Reliability

Journal citation

NARROW

Response of Quasi-Integrable and Resonant Hamiltonian Systems to Fractional Gaussian Noise

Asymptotic Stability With Probability One of Random-Time-Delay-Controlled Quasi-Integrable Hamiltonian Systems

Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems Under Poisson White Noise Excitation

Stochastic Averaging of Strongly Nonlinear Oscillators Under Combined Harmonic and Wide-Band Noise Excitations

Nonlinear Stochastic Optimal Control of Quasi Hamiltonian Systems

Stationary Response of MDOF Dissipated Hamiltonian Systems to Poisson White Noises

Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation

Feedback Stabilization of Quasi-Integrable Hamiltonian Systems

First-Passage Failure of Quasi-Integrable Hamiltonian Systems

Lyapunov Exponents and Stochastic Stability of Quasi-Integrable-Hamiltonian Systems

Stochastic Averaging of Quasi-Integrable Hamiltonian Systems

Equivalent Nonlinear System Method for Stochastically Excited and Dissipated Integrable Hamiltonian Systems

Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems

Recent Developments and Applications of the Stochastic Averaging Method in Random Vibration

Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems

Nonlinear Fatigue Damage Accumulation Under Random Loading

Equivalent Nonlinear System Method for Stochastically Excited Hamiltonian Systems

Stochastic Response of Hysteretic Systems to Narrow-Band Excitation

Stochastic Averaging Methods in Random Vibration

Random Vibration: A Survey of Recent Developments

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