Proposal of New Perturbation Method with Complementary Term for Dynamic Characteristics Prediction of Modified Structure

Abstract

Because of the large scale model of the finite element method in these days, it is required to find a method, which can be applied to the optimal analysis, to minimize the time of the estimate of the dynamic characteristics in changing the structure. We develop here a new perturbation method with a complimentary term which is effective for this purpose. By both the theoretical and numerical analysis, we show that the accuracy of the estimate is greatly improved even when the lower modes are not used by using the complimentary vector. This correction vector is obtained by Ma-Hagiwara modal method and adjusted to the change of the structure and the input style. We can show the possibility by using this method proposed here to reduce the analysis time drastically even when the structure is changed greatly on a large scale model.