A method of obtaining a structural dynamic matrix using bond graph techniques

Abstract

A large number of methods have been developed in order to solve the eigenvalues and eigenvectors of mechanical systems, from a generic treatment through to finite elements. For accuracy to be guaranteed in the results, a through discrete-parameters procedure should be performed on the model which, when many degrees of freedom are involved, implies resolution of a high-order system at the expense of considerable computer time. An alternative method is proposed in this paper for calculating natural frequencies and modes based on building the dynamic matrix through Bond Graph techniques.