Stochastic Optimal Control of First-Passage Failure for Rectangular Thin Plate Vibration Model under Gaussian White-Noise Excitations

被引：0

作者：

葛根 ^{[1
,2
]}

王洪礼 ^{[3
]}

机构：

[1] School of Civil Engineering,Tianjin University

[2] School of Mechanical Engineering,Tianjin Poly-technic University

[3] School of Mechanical Engineering,Tianjin University

来源：

Transactions of Tianjin University | 2011年 / 17卷 / 06期

关键词：

rectangular thin plate; first-passage failure; stochastic optimal control;

D O I：

暂无

中图分类号：

O322 [非线性振动]; O232 [最优控制];

学科分类号：

080101 ; 070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

A rectangular thin plate vibration model subjected to inplane stochastic excitation is simplified to a quasinonintegrable Hamiltonian system with two degrees of freedom. Subsequently a one-dimensional Ito stochastic differential equation for the system is obtained by applying the stochastic averaging method for quasi-nonintegrable Hamiltonian systems. The conditional reliability function and conditional probability density are both gained by solving the backward Kolmogorov equation numerically. Finally, a stochastic optimal control model is proposed and solved. The numerical results show the effectiveness of this method.

引用

页码：431 / 434

页数：4

共 5 条

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Stochastic Bifurcation of Rectangular Thin Plate Vibration System Subjected to Axial Inplane Gaussian White Noise Excitation[J]. 葛根,王洪礼,许佳.Transactions of Tianjin University. 2011(01)

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