Technique of structural dynamic optimization. 1st report. Use of mathematical pseudo inverse method and substructure synthesis method.

Abstract

In this paper, a new method for structural dynamic modification and a way of combining the new method and the substructure synthesis method are proposed. In most cases of structural dynamic optimization problems, the number of natural frequencies to be modified is generally less than that of the structural modification parameter, for example the finite element thickness, in the structure. Therefore, in the past, these kinds of problems could not be solved practically, in general, or the methods were so complicated that it took too much CPU computer time for the calculations. The new method in this paper can solve the problems using much less calculation time. Furthermore, the efficiency of the analysis can be improved by combining the method's algorithm and the component mode synthesis method, which was proposed by the authors as one of the substructure synthesis methods. After the explanation about the proposed methods, three applications are shown, a cantilever plate, a structure in a character H shape and an actual fly-wheel for automobile engines. The results of these applications show the practical usefulness of the proposed methods.