DefinePK

Abstract

The well-known approximate solution of harmonic balance is compared with one of the techniques of perturbation, the multiple scale method. Both chosen analytical method are compared in terms of degree of nonlinearity of a hardening base excitation system. The assumed solution in harmonic balance is taken to single mode while multiple scale solution is assumed to have the solution of a first order expansion. Both methods are solved to attain the frequency response equation and the response of both curves are plotted and compared to show the differences in each method with the same value of nonlinearity. In the chosen parameter of nonlinearity, a=0.03 and a=3.5, harmonic balance method appears to tilt at a higher degree than that of multiple scale method thus showing higher accuracy in terms of nonlinearity from the comparison.