特征向量导数计算各种模态法的比较和发展

在结构动力学修改以及结构动态设计中，灵敏度分析是十分重要的一环，往往也是主要工作量所在。如何在保证精度前提下减少灵敏度分析工作量和计算时间，具有重要意义。本文对特征向量灵敏度分析中计算特征向量导数的模态法作了综合评述，除了经典模态法和修正模态法之外，还对新近发展的迭代模态法和移位模态法进行了介绍。最后通过典型结构实例的计算仿真，对各种模态法作了比较。

Calculation of Eigenvectors Derivatives Using Modal Methods: Assessment and Advance

therivatives of Eigenvectors with respect to design parameters are very important in the structuraldynamic design, FE model refining and structure updating. And its ealculation is very time consum-ing. It is important to reduce calculation work and computation time within a given accuracy.In this paper, different modal metheds for calculating eigenvectors derivatives are reviewed. Besides classicalmedal method and modified modal method, recent developed iterative modal methed and shift modalmethod are introduced and discued. All metheds are implemented in a FE program and applied to twocomputer simulation examples: PORK and 30-FRAME.It shows through theory analysis and comput-er simulation that using iterative modal methed or shift medal methed in sensitivity analysis can guar-antee ealculation accuracy and grcatiy raise computation efficiency.