Vibration Analysis in High-Frequency Domains Based on Finite-Element Method and Modal Analysis.

The finite-element method (FEM) and modal analysis have been used for vibration prediction in relatively low frequency domains, and statistical energy analysis (SEA) has been conducted in order to evaluate the vibration in extremely high-frequency domains. However, modeling and vibration analysis by FEM and modal analysis become more difficult as the frequency becomes higher, and some approximations and hypotheses that have not yet been proven to be accurate are used in SEA. Therefore in hign-frequency domains that exist between the two frequency domains in which FEM and SEA can be appropriately applied, no effective vibration analysis method has been proposed. In this paper, a vibration analysis method based on modal analysis and the statistical method which enables analysis of the high frequency vibration is presented. Example results are shown for a single-plate structure and an L-shaped structure, and a comparison is made between the results from the asymptotic modal analysis and from the experiment.