Stochastic stability and first passage failure for a thin rectangular plate subject to stochastic parametrical excitation
Ge Gen1; Wang Hong-li2 ; Xu jia2
1.School of Construction Engineering , Tianjin University, Tianjin,300072, China2.School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
Abstract：One stochastic two dimensional dynamical model of a thin rectangular plate subject to in-plate stochastic parametrical excitation with control is proposed based on Galerkin’s approach. At first the model is simplified applying the stochastic average theory of quasi-integral Hamilton system. Secondly, the optimal control law is derived from the dynamical programming equations and the control constraints. Finally, the Backward Kolmogorov equation for reliability function had been established. The dynamical programming equations for maximum reliability problem are finalized and their relationships to the backward Kolmogorov equation for the reliability function are pointed out. The numerical results show that the procedure is effective and efficiency.
葛根;王洪礼; 许佳. 随机最优控制下矩形薄板受面内随机参数激励的首次穿越研究[J]. , 2012, 31(4): 179-183.
Ge Gen; Wang Hong-li;Xu jia. Stochastic stability and first passage failure for a thin rectangular plate subject to stochastic parametrical excitation. , 2012, 31(4): 179-183.
2012, Vol. 31 
