Development of Hierarchical Optimization Design Method Using Component Mode Synthesis Method : Application to Optimization of Dynamic Response

In this paper, the optimization of dynamic responses is presented using the hierarchical optimization method, which has been previously reported by the authors. The special features of the method are that the sensitivities of the design object to the eigenvalues of substructures are calculated, and the sensitive substructures are modified mainly to satisfy the design object. The hierarchical optimization method is applied to the minimization problem of dynamic responses of a rahmen structure with some constraints. The results from the presented method and the conventional method are compared in terms of accuracy and calculation time, and it was found that the present method is effective in practical applications.