Economical Analysis of Combined Dynamical Systems

Abstract

Exact modal analysis of structural systems, each consisting of a beam and various spring/mass oscillators, is presented. The Nicholson and Bergman mathematical model for such systems is considered, but altered by use of the particular integral approach to solve the model in favor of using Green's function. This alteration leads to a computer implementation of the model that runs significantly faster than the Green's function implementation in cases where the number of oscillators is sufficienfly large, and it exhibits a reduced tendency to erroneously predict nonexistent closely packed frequencies.