Identification of Nonlinear Multi-Degree-of-Freedom Systems : 1st Report, Presentation of an Identification Technique

Abstract

A new technique of identifying a nonlinear multi-degree-of-freedom system has been presented. The basic procedures of this technique are: (1) obtaining the data of a periodic force applied to the system and of the periodic steady-state oscillation induced by it; (2) expressing the nonlinearity 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 demonstrate the validity of the presented technique.