A bond graph based analysis of coupled vibratory systems taking advantage of the dual formulation

Abstract

A technique is presented to study the overall characteristics of complex dynamic systems from those of the subsystems which are easy to model individually. The complex system is divided into a number of simple subsystems each of which may be represented by using either position—velocity or impulse—force descriptions. The appropriate boundary conditions are assigned at the interfaces. The subsystems are then interpreted in the form of bond graphs using a finite mode representation. These bond graphs are coupled through proper elements such that the conditions of equilibrium and continuity at the interfaces are preserved. The overall system dynamics are studied from the resulting bond graph. The procedure is illustrated through simple examples. The entire analysis is based on bond graph techniques and thus allows the effective use of ENPORT packages.