Nonlinear Random Vibrations of Stretched Beam Discretized by Finite Difference Scheme and Excited by Gaussian White Noise

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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 Publication	Proceedings of European Nonlinear Oscillation Conference 2017
Abstract	With 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.
Keyword	Nonlinear beam Fokker-Planck-Kolmogorov equation probabilistic solution MDOF system
Language	英語English
The Source to Article	PB_Publication
PUB ID	30920
Document Type	Conference paper
Collection	DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING Faculty of Science and Technology
Corresponding Author	Er, 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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