A Boundary Element Method for Effective Natural Vibration Analysis.

Abstract

Natural vibration analysis methods proposed based on the boundary element method comprise the inner cell method and the dual reciprocity method, but these methods are not suitable for easily solving practical problems because of the large amount of labor required to produce data and the poor computation efficiency. In this paper, we propose an efficient 'equivalent mass method' that makes it possible to obtain natural frequencies without requiring inner cells, aiming at the practical application of the boundary element method to the natural vibration analysis of elastic bodies and sound fields. Regarding the natural vibration analysis of elastic bodies and sound fields, we propose formulation based on the equivalent mass method, the equivalent mass conditions, and the method for generating the equivalent mass that satisfies those conditions. And we prove the utility of this method with basic example and practical application.