The stationary response of multi-degree-of-freedom dissipated Hamiltonian systems to random pulse trains is studied. The random pulse trains are modeled as Poisson white noises. The approximate stationary probability density function and mean-square value for the response of MDOF dissipated Hamiltonian systems to Poisson white noises are obtained by solving the fourth-order generalized Fokker–Planck–Kolmogorov equation using perturbation approach. As examples, two nonlinear stiffness coupled oscillators under external and parametric Poisson white noise excitations, respectively, are investigated. The validity of the proposed approach is confirmed by using the results obtained from Monte Carlo simulation. It is shown that the non-Gaussian behavior depends on the product of the mean arrival rate of the impulses and the relaxation time of the oscillator.
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July 2008
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Stationary Response of MDOF Dissipated Hamiltonian Systems to Poisson White Noises
Y. Wu,
Y. Wu
Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control,
Zhejiang University
, Hangzhou 310027, P.R.C.
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W. Q. Zhu
W. Q. Zhu
Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control,
e-mail: wqzhu@yahoo.com
Zhejiang University
, Hangzhou 310027, P.R.C.
Search for other works by this author on:
Y. Wu
Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control,
Zhejiang University
, Hangzhou 310027, P.R.C.
W. Q. Zhu
Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control,
Zhejiang University
, Hangzhou 310027, P.R.C.e-mail: wqzhu@yahoo.com
J. Appl. Mech. Jul 2008, 75(4): 044502 (5 pages)
Published Online: May 14, 2008
Article history
Received:
May 25, 2007
Revised:
February 22, 2008
Published:
May 14, 2008
Citation
Wu, Y., and Zhu, W. Q. (May 14, 2008). "Stationary Response of MDOF Dissipated Hamiltonian Systems to Poisson White Noises." ASME. J. Appl. Mech. July 2008; 75(4): 044502. https://doi.org/10.1115/1.2912987
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