Analysis of Vibration by Component Mode Synthesis Method : Part 4, Natural Frequency and Natural Mode (II)

Abstract

A component mode synthesis method is improved for analyzing the vibration of complex structures. The components are not classified into master or branch ones. The interface regions of these components are considered a component named 'interface component', whose displacement is represented with a linear combination of the natural modes calculated from the reduced mass and the reduced stiffness matrices of all other components. The displacements of the interior regions of all components except the interface component are represented with the natural modes of the interface region and the restrained natural modes of these interior regions. The equation of motion of the total structure is translated into a generalized coordinate of these natural modes. Numerical results of the natural frequencies and the natural modes of two specimens are shown.