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Nonlinear Random Vibrations of Stretched Beam Discretized by Finite Difference Scheme and Excited by Gaussian White Noise
Er, G. K.; Iu, V. P.; Wang, K.; Du, H. E.
2017-06-01
Source PublicationProceedings of European Nonlinear Oscillation Conference 2017
AbstractWith finite difference method, a multi-degree-of-freedom nonlinear stochastic dynamical system is formulated by discretizing the stretched Euler-Bernoulli beam being of pin-supported ends and excited by uniformly distributed Gaussian white noise. The probabilistic solutions of this system are studied by state-space-split (SSS) method and exponential-polynomial closure (EPC) method to examine the effectiveness and efficiency of this solution procedure. Numerical results show that the probabilistic solutions obtained by SSS-EPC method agree well with Monte Carlo simulation. The computational efficiency of SSS-EPC method is much higher than that of Monte Carlo simulation. Compared to the probabilistic solutions obtained by equivalent linerization method, the results obtained by SSS-EPC method are much improved for the studied strongly nonlinear system.
KeywordNonlinear beam Fokker-Planck-Kolmogorov equation probabilistic solution MDOF system
Language英語English
The Source to ArticlePB_Publication
PUB ID30920
Document TypeConference paper
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Corresponding AuthorEr, G. K.
Recommended Citation
GB/T 7714
Er, G. K.,Iu, V. P.,Wang, K.,et al. Nonlinear Random Vibrations of Stretched Beam Discretized by Finite Difference Scheme and Excited by Gaussian White Noise[C],2017.
APA Er, G. K.,Iu, V. P.,Wang, K.,&Du, H. E..(2017).Nonlinear Random Vibrations of Stretched Beam Discretized by Finite Difference Scheme and Excited by Gaussian White Noise.Proceedings of European Nonlinear Oscillation Conference 2017.
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