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Journal Articles

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

Q. F. Lü, W. Q. Zhu, M. L. Deng
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. February 2022, 144(1): 011010.
Paper No: VIB-20-1207
https://doi.org/10.1115/1.4051480
Published Online: June 29, 2021
View Article titled, Response of Quasi-Integrable and Resonant Hamiltonian Systems to Fractional Gaussian Noise
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Topics: Noise (Sound), Resonance, Simulation
Journal Articles

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

R. H. Huan, W. Q. Zhu, R. C. Hu, Z. G. Ying
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. September 2016, 83(9): 091009.
Paper No: JAM-16-1196
https://doi.org/10.1115/1.4033944
Published Online: July 4, 2016
View Article titled, Asymptotic Stability With Probability One of Random-Time-Delay-Controlled Quasi-Integrable Hamiltonian Systems
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Topics: Approximation, Delays, Probability, Stability, Time delay systems
Journal Articles

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

Y. Zeng, W. Q. Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2011, 78(2): 021002.
https://doi.org/10.1115/1.4002528
Published Online: November 4, 2010
View Article titled, Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems Under Poisson White Noise Excitation
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Topics: Density, Excitation, Probability, White noise, Simulation, Noise (Sound)
Journal Articles

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

Y. J. Wu, W. Q. Zhu
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 2008, 130(5): 051004.
https://doi.org/10.1115/1.2948382
Published Online: August 12, 2008
View Article titled, Stochastic Averaging of Strongly Nonlinear Oscillators Under Combined Harmonic and Wide-Band Noise Excitations
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Topics: Bifurcation, Density, Excitation, Noise (Sound), Probability, Simulation, Damping, Random excitation, White noise
Proceedings Papers

Nonlinear Stochastic Optimal Control of Quasi Hamiltonian Systems

W. Q. Zhu
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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2005-84361
https://doi.org/10.1115/DETC2005-84361
View Paper titled, Nonlinear Stochastic Optimal Control of Quasi Hamiltonian Systems
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. July 2008, 75(4): 044502.
https://doi.org/10.1115/1.2912987
Published Online: May 14, 2008
View Article titled, Stationary Response of MDOF Dissipated Hamiltonian Systems to Poisson White Noises
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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
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. July 2006, 59(4): 230–248.
https://doi.org/10.1115/1.2193137
Published Online: July 1, 2006
View Article titled, Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Additional Technical Papers
J. Appl. Mech. January 2003, 70(1): 129–136.
https://doi.org/10.1115/1.1483833
Published Online: January 23, 2003
View Article titled, Feedback Stabilization of Quasi-Integrable Hamiltonian Systems
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. May 2002, 69(3): 274–282.
https://doi.org/10.1115/1.1460912
Published Online: May 3, 2002
View Article titled, First-Passage Failure of Quasi-Integrable Hamiltonian Systems
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 1999, 66(1): 211–217.
https://doi.org/10.1115/1.2789148
Published Online: March 1, 1999
View Article titled, Lyapunov Exponents and Stochastic Stability of Quasi-Integrable-Hamiltonian Systems
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. December 1997, 64(4): 975–984.
https://doi.org/10.1115/1.2789009
Published Online: December 1, 1997
View Article titled, Stochastic Averaging of Quasi-Integrable Hamiltonian Systems
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 1997, 64(1): 209–216.
https://doi.org/10.1115/1.2787275
Published Online: March 1, 1997
View Article titled, Equivalent Nonlinear System Method for Stochastically Excited and Dissipated Integrable Hamiltonian Systems
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 1997, 64(1): 157–164.
https://doi.org/10.1115/1.2787267
Published Online: March 1, 1997
View Article titled, Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems
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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
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. October 1996, 49(10S): S72–S80.
https://doi.org/10.1115/1.3101980
Published Online: October 1, 1996
View Article titled, Recent Developments and Applications of the Stochastic Averaging Method in Random Vibration
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. June 1996, 63(2): 493–500.
https://doi.org/10.1115/1.2788895
Published Online: June 1, 1996
View Article titled, Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems
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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.
Journal: Journal of Pressure Vessel Technology
Publisher: ASME
Article Type: Research Papers
J. Pressure Vessel Technol. May 1996, 118(2): 168–173.
https://doi.org/10.1115/1.2842176
Published Online: May 1, 1996
View Article titled, Nonlinear Fatigue Damage Accumulation Under Random Loading
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1994, 61(3): 618–623.
https://doi.org/10.1115/1.2901504
Published Online: September 1, 1994
View Article titled, Equivalent Nonlinear System Method for Stochastically Excited Hamiltonian Systems
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. March 1994, 61(1): 211–213.
https://doi.org/10.1115/1.2901405
Published Online: March 1, 1994
View Article titled, Stochastic Response of Hysteretic Systems to Narrow-Band Excitation
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Topics: Excitation
Journal Articles

Stochastic Averaging Methods in Random Vibration

W. Q. Zhu
Journal: Applied Mechanics Reviews
Publisher: ASME
Article Type: Review Articles
Appl. Mech. Rev. May 1988, 41(5): 189–199.
https://doi.org/10.1115/1.3151891
Published Online: May 1, 1988
View Article titled, Stochastic Averaging Methods in Random Vibration
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Topics: Random vibration, Reliability, Stability
Journal Articles

Random Vibration: A Survey of Recent Developments

S. H. Crandall, W. Q. Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1983, 50(4b): 953–962.
https://doi.org/10.1115/1.3167208
Published Online: December 1, 1983
View Article titled, Random Vibration: A Survey of Recent Developments
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Topics: Random vibration, Engineering disciplines, Excitation, Nonlinear systems, Random excitation, Reliability