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

来源：

Transactions of Tianjin University | 2011年 / 06期

关键词：

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：

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 27 条

[1] Stochastic Optimal Control of First-Passage Failure for Rectangular Thin Plate Vibration Model under Gaussian White-Noise Excitations
葛根
王洪礼
Transactions of Tianjin University, 2011, 17 (06) : 431 - 434
[2] Stochastic optimal control of first-passage failure for rectangular thin plate vibration model under gaussian white-noise excitations
Ge G.
Wang H.
Transactions of Tianjin University, 2011, 17 (6) : 431 - 434
[3] Stochastic stabilization of first-passage failure of Rayleigh oscillator under Gaussian White-Noise parametric excitations
Li, JR
Xu, W
CHAOS SOLITONS & FRACTALS, 2005, 26 (05) : 1515 - 1521
[4] Stochastic optimal control of first-passage failure for coupled Duffing-van der Pol system under Gaussian white noise excitations
Li, W
Xu, W
Zhao, JF
Ma, SJ
CHAOS SOLITONS & FRACTALS, 2005, 25 (05) : 1221 - 1228
[5] Optimal bounded control of first-passage failure of strongly non-linear oscillators under combined harmonic and white-noise excitations
Zhu, WQ
Wu, YJ
JOURNAL OF SOUND AND VIBRATION, 2004, 271 (1-2) : 83 - 101
[6] First-Passage Time of Duffing Oscillator under Combined Harmonic and White-Noise Excitations
W. Q. Zhu
Y. J. Wu
Nonlinear Dynamics, 2003, 32 : 291 - 305
[7] First-passage time of Duffing oscillator under combined harmonic and white-noise excitations
Zhu, WQ
Wu, YJ
NONLINEAR DYNAMICS, 2003, 32 (03) : 291 - 305
[8] First-passage failure and optimal control of stochastic Rayleigh oscillator
Li, Jiao-Rui
Xu, Wei
Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2007, 24 (06): : 954 - 958
[9] Stochastic Nonlinear Optimal Control for First-passage Failure of Constrained Wheelset
Liu W.
Jiang R.
Liu F.
Li Y.
Zhang L.
2018, Science Press (40): : 30 - 35
[10] Stochastic Bifurcation of Rectangular Thin Plate Vibration System Subjected to Axial Inplane Gaussian White Noise Excitation
葛根
王洪礼
许佳
Transactions of Tianjin University, 2011, 17 (01) : 13 - 19

← 1 2 3 →