密集模态的摄动理论

模态分析的矩阵摄动法在灵敏度分析和重分析中有广泛的应用。本文首先综述了已有的各种摄动方法,然后分析了密集频率产生的问题,提出了频率密集时的对策,最后给出了新的密集模态摄动理论—移动摄动法。算例表明该方法是方便有效的。

Perturbation Theory for Close-Spaced Eigenvalues of Vibration

Several perturbation methods for mode analysis were briefly summarized in this paper, some of which were widely applied in sensitivity analysis as well as reanalysis. On the bases of analysing production of close-spaced frequencies, the way to deal with this situation was proposed, and a new theory of close-spaced model perturbation-displacement perturbation method suggested as well. Computational examples shown that the method is effective and convenient.