求大规模非线性随机动力系统概率密度函数解的子空间法

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Status	已發表Published
	求大规模非线性随机动力系统概率密度函数解的子空间法
	Er, G. K.; Iu, V. P.
	2010-12-01
Source Publication	固体力学学报
ISSN	0254-7805
Pages	164-170
Abstract	The probabilistic solutions of the multi-degree-of-freedom (MDOF) or large-scale stochastic dynamic systems with polynomial type of nonlinearity and excited by Gaussian white noise excitations are obtained and investigated with the subspace method proposed recently by the authors. The space of the state variables of large-scale nonlinear stochastic dynamic (NSD) system excited by white noises is separated into two subspaces. Both sides of the Fokker–Planck–Kolmogorov (FPK) equation corresponding to the NSD system is then integrated over one of the subspaces. The FPK equation for the joint probability density function of the state variables in another subspace is formulated. Therefore, the FPK equation in low dimensions is obtained from the original FPK equation in high dimensions and it makes the problem of obtaining the probabilistic solutions of large-scale NSD systems solvable with the exponential polynomial closure (EPC) method. A simple flexural beam on nonlinear elastic springs is analyzed with the subspace method to show the effectiveness of the subspace-EPC method in this case.
Keyword	Nonlinear stochastic dynamical system Subspace method large-scale system
Language	其他語言Others
The Source to Article	PB_Publication
PUB ID	7004
Document Type	Journal article
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.. 求大规模非线性随机动力系统概率密度函数解的子空间法[J]. 固体力学学报, 2010, 164-170.
APA	Er, G. K.., & Iu, V. P. (2010). 求大规模非线性随机动力系统概率密度函数解的子空间法. 固体力学学报, 164-170.
MLA	Er, G. K.,et al."求大规模非线性随机动力系统概率密度函数解的子空间法".固体力学学报 (2010):164-170.

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