Vibration Analysis by Multiple Component Mode Synthesis Method

Abstract

The authors propose 'Multiple Component Mode Synthesis Method' for analyzing the vibration of complex mechanical structures. This method is carried out as follows. A structure is divided into some first divided components. Each first divided component is subdivided into some second divided ones. Repeating this process n times, the structure is divided into n-th divided components at last. The natural mode of each (n-1)-th divide component is analyzed using the natural modes of the n-th divided ones by the technique of the ordinary component mode synthesis method. Next, the natural modes of each (n-2)-th divided component is analyzed with the natural modes of the (n-1)-th divided ones. After repeating this process, the vibration of a total structure is analyzed. By the present method, a structure can be analyzed with less memory size of computer than either the ordinary component mode synthesis method or the finite element method. As a numerical example a plate is analyzed by the present method and the results are compared with those by experiment and by the finite element method.