【作者】 张美艳； 韩平畴； 唐国安；

【Author】 ZHANG Mei-yan HAN Ping-chou TANG Guo-an (Department of Mechanics & Engineering Science, Fudan University,Shanghai 200433)

【机构】 复旦大学力学与工程科学系；

【摘要】 结构的特征灵敏度分析在动力系统的设计、分析和识别过程中已显得越来越重要。在很多问题中,由于工程实际需要或设计精度要求,还需要用到结构的高阶特征灵敏度。本文提出了一种利用固定Ritz基子结构灵敏度综合求解结构n阶特征灵敏度的新方法。通过部件模态综合技术,有效减少了结构的自由度数目,达到了减少灵敏度分析计算量的目的。同时,用该方法进行灵敏度分析时,Ritz基是固定的,即不随设计参数变化的,因此,Ritz基对设计参数的各阶导数均为零,使子结构灵敏度方法操作更加简单,更易于实现,亦减少了计算量。更多还原

【Abstract】 Eigen-sensitivity analysis is playing an increasingly important part in dynamic system design,analysis and identification.Second and higher order eigen-sensitivity is in demand due to higher design precision requirements and complexity in real engineering scenarios.In this paper,a new efficient method of substructure sensitivity synthesis for the nth order of eigen-sensitivity with fixed Ritz Basis is proposed.By using the technology of component mode synthesis,both number of DOF and cost of computation are significantly reduced.Another novelty of the present method is that the Ritz basis is fixed and not dependent on the design parameter,the derivatives of Ritz basis with respect to the design parameter are zero.This novelty makes the substructure sensitivity synthesis method simple in operation and easy in implement.更多还原