Identification of Nonlinear Multi-Degree-of-Freedom Systems : Presentation of an Identification Technique

Abstract

A new technique of identifying nonlinear multi-degree-of-freedom systems has been presented. The basic procedures of this technique are : (1) obtaining the data of a periodic external force applied to the system and of the periodic steady-state response induced by it ; (2) expressing the nonlinear terms of the system in the form of polynomials with unknown coefficients ; and (3) determining the unknown coefficients by expressing the necessary quantities in Fourier series and applying the principle of harmonic balance. Some examples are given to show the applicability of the technique presented.