固定Ritz基子结构灵敏度综合方法  

Substructure sensitivity synthesis with fixed Ritz basis

作　　者：张美艳[1,2] 韩平畴[1] 唐国安[1] 

机构地区：[1]复旦大学力学与工程科学系,上海200433 [2]上海交通大学机械系统与振动国家重点实验室,上海200240

出　　处：《浙江大学学报（工学版）》2009年第7期1279-1281,1326,共4页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(10672041);上海交通大学机械系统与振动国家重点实验室开放课题

摘　　要：针对在动力系统的设计、分析和识别过程中,由于工程实际需要或设计精度要求,经常需要用到结构的高阶特征灵敏度的问题,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.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.Due to complex design needs and enhanced precision requirements involved in modern engineer- ing scenarios, second and higher order eigen-sensitivity is strongly demanded in dynamic system design, analysis and identification. A new efficient method of substructure sensitivity synthesis for the n^th order of eigen-sensitivity with fixed Ritz basis was proposed. By using the technology of component mode synthe- sis, both number of DOF （degree-of-freedom） and cost of computation were significantly reduced. Another novelty of the present method was that the Ritz basis was fixed and not dependent on the design parameter, and the derivatives of Ritz basis with respect to the design parameter were zero. This novelty made the substructure sensitivity synthesis method simple in operation and easy in implementation.

关 键 词：子结构灵敏度综合 Ritz基 特征灵敏度 

分 类 号：O327[理学—一般力学与力学基础]