拉索非线性随机振动的最优有界半连续控制  

Optimal Bounded Semi-continuous Control of Nonlinear Random Vibration of Taut Cables

作　　者：张巍[1] 应祖光[2] 胡荣春[2] 

机构地区：[1]浙江理工大学经济管理学院实验中心,杭州310018 [2]浙江大学航空航天学院力学系,杭州310027

出　　处：《噪声与振动控制》2014年第2期133-135,共3页Noise and Vibration Control

基　　金：国家自然科学基金项目(11072215)

摘　　要：研究斜拉索非线性随机振动的最优有界半连续控制。建立受控拉索的横向非线性运动方程,运用伽辽金法推导多模态耦合的振动方程;考虑控制力的有界性,建立多自由度非线性索系统的随机最优控制问题方程,应用随机平均法、动态规划原理与变分原理确定HJB方程并得到最优有界半连续控制律,最后通过数值结果说明该最优控制对于斜拉索非线性随机振动能够达到较好的实际控制效果。The optimal bounded semi-continuous control of nonlinear random vibration of an inclined taut cable is studied. The nonlinear equation for transverse motion of the cable with control and excitation is derived and then converted into the vibration equations with multi-modal coupling by using Galerkin method. Considering the limitation of the control force, the equation for the random optimal control of the nonlinear cable system with multi-degree-of-freedom is established. Then, the HJB equation is determined, and the optimal bounded semi-continuous control law is obtained based on the random averaging method, dynamical programming principle and variational principle. Numerical results show that the proposed control method has good effect for the nonlinear random vibration control of the cables.

关 键 词：振动与波 最优控制 有界控制力 非线性随机振动 拉索 

分 类 号：O32[理学—一般力学与力学基础] TU311[理学—力学]