结构变形最优控制的数值分析

THE NUMRICAL ANALYSIS OF OPTIMAL CONTROL ON STRUCTURE DEFORMATION

机敏结构是一种依靠结构系统内部自身的自适应能力，达到对外界作出理想响应的智能性结构，由压电片控制结构变形以达到理想形状的结构即属此类。本文运用机－电耦合的变分方程建立起有限元方程，在此基础之上建立了求压电片控制电压和结构变形之间关系即控制矩阵的方法，并依靠控制矩阵，利用最优化方法，实现对结构变形的无条件和有条件最优控制，最后给出了计算实例．

Structure that can respond to enviroment appropriately by itself is calledsmart structure,e.g.plate containing piezoceramics. In this paper, FEM was formulatedhmeans of electro-mechanical variational equations and the procedure to get relationshipbetweell voltage on piezoceramic and structure deformation,i.e. control matrix,waJs alsoestablished.Using optimal method, optimal control of structure deformation was achievedwith consideration of no or some restricted conditions.