In this paper a frequency response analysis using Krylov subspace-based model reduction and its design sensitivity analysis with respect to design variables are presented. Since the frequency response and its design sensitivity information are necessa...
In this paper a frequency response analysis using Krylov subspace-based model reduction and its design sensitivity analysis with respect to design variables are presented. Since the frequency response and its design sensitivity information are necessary for a gradient-based optimization, the problem of high computational cost may occur in the case that frequency response of a large sized finite element model is involved in the optimization iteration. In the suggested method reduced order models are used to calculate both frequency response and frequency response sensitivity, therefore one can maximize the speed of numerical computation for the frequency response and its design sensitivity. As an example, an array-type 2×2 MEMS resonator is adopted to show the accuracy and efficiency of the suggested approach. The frequency response sensitivity through the model reduction shows a good agreement with that from the initial full finite element model.