基于能量变分形式的频响系统的设计灵敏度分析  

DESIGN SENSITIVITY ANALYSIS OF FREQUENCY RESPONSE SYSTEMS BASED ON ENERGY VARIATIONAL FORMULATION

作　　者：徐张明[1] 沈荣瀛[1] 华宏星[1] 

机构地区：[1]上海交通大学振动,冲击,噪声国家重点实验室,上海200030

出　　处：《机械强度》2004年第5期489-492,共4页Journal of Mechanical Strength

摘　　要：复杂结构系统的设计灵敏度分析及其优化是工程结构设计中的重要问题之一。利用连续介质动力学理论 ,得到基于能量变分法的设计灵敏度方程。以浮筏隔振系统为对象 ,计算动态频率响应对筏体厚度的灵敏度系数。首先采用有限元分析程序计算得到初始结构和伴随结构的动态响应 ,然后在后处理过程中 ,通过数值积分得到对结构位移的设计灵敏度。计算结果表明相对于中心差分法 ,用伴随变量法计算精度高 ,且克服了传统方法中需要计算质量矩阵。To improve design performance,the design sensitivity analysis (DSA) for the important structures is necessary. The energy variational formulation of structural vibration systems is introduced and the design sensitivity equation is developed using the adjoint variable. The basic DSA theorems are applied to a raft isolating vibration system used in the shipbuilding engineering. To characterize the changes of the raft thickness, displacement design sensitivity is performed and discussed. First the original and the adjoint structural response are computed by current finite element analysis (FEA) software such as ANSYS, then the global design sensitivity results are obtained by post processing FEA codes with numerical integration. The numerical results show that compared with the central finite difference method, this variational method yields accurate analysis results, and explicit relations for design sensitivity are derived in terms of physical quantities, rather than in terms of sums of derivatives of mass, stiffness and damping matrices.

关 键 词：设计灵敏度分析 有限元法 频率响应 变分法 

分 类 号：O327[理学—一般力学与力学基础]