Transient stochastic response of quasi integerable Hamiltonian systems

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	Transient stochastic response of quasi integerable Hamiltonian systems
	Liu, Zhong-Hua ; Geng, Jian-Hua ; Zhu, Wei-Qiu ; Liu ZH(刘中华) ; Zhu WQ(朱位秋)
刊名	http://dx.doi.org/10.1007/s10409-013-0044-z
	2013
关键词	NONSTATIONARY PROBABILITY DENSITIES NONLINEAR RANDOM VIBRATION APPROXIMATE METHOD NOISE EXCITATIONS ENVELOPE
英文摘要	National Natural Science Foundation of China [10902094, 10932009, 11072212, 11272279]; Special Foundation for Young Scientists of Fujian Province of China [2008F3100]; The approximate transient response of quasi integrable Hamiltonian systems under Gaussian white noise excitations is investigated. First, the averaged It equations for independent motion integrals and the associated Fokker-Planck-Kolmogorov (FPK) equation governing the transient probability density of independentmotion integrals of the system are derived by applying the stochastic averaging method for quasi integrable Hamiltonian systems. Then, approximate solution of the transient probability density of independent motion integrals is obtained by applying the Galerkin method to solve the FPK equation. The approximate transient solution is expressed as a series in terms of properly selected base functions with time-dependent coefficients. The transient probability densities of displacements and velocities can be derived from that of independent motion integrals. Three examples are given to illustrate the application of the proposed procedure. It is shown that the results for the three examples obtained by using the proposed procedure agree well with those from Monte Carlo simulation of the original systems.
语种	英语
出版者	SPRINGER HEIDELBERG
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/89998]
专题	建筑土木－已发表论文
推荐引用方式 GB/T 7714	Liu, Zhong-Hua,Geng, Jian-Hua,Zhu, Wei-Qiu,et al. Transient stochastic response of quasi integerable Hamiltonian systems[J]. http://dx.doi.org/10.1007/s10409-013-0044-z,2013.
APA	Liu, Zhong-Hua,Geng, Jian-Hua,Zhu, Wei-Qiu,刘中华,&朱位秋.(2013).Transient stochastic response of quasi integerable Hamiltonian systems.http://dx.doi.org/10.1007/s10409-013-0044-z.
MLA	Liu, Zhong-Hua,et al."Transient stochastic response of quasi integerable Hamiltonian systems".http://dx.doi.org/10.1007/s10409-013-0044-z (2013).