固定Ritz基子结构灵敏度综合方法

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.

Substructure sensitivity synthesis with fixed Ritz basis

Due to complex design needs and enhanced precision requirements involved in modern engineering 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 nth order of eigen-sensitivity with fixed Ritz basis was proposed. By using the technology of component mode synthesis, 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．