A Nonparametric Identification Technique of Nonlinear Vibratory Systems : 1st Report, Presentation of the Technique and Its Application to Single-Degree-of-Freedom Vibratory Systems

Abstract

In order to develop a method applicable for identifying nonlinear vibratory systems without assuming the characteristics of nonlinearity, a new technique has been presented. The basic procedures of this technique are : (1) obtaining data of a periodic force applied to a system and of the periodic steady-state oscillations induced by the force (2) dividing the regions of displacements or velocities in small subdomains and expressing the restoring force or damping force in a piecewise manner over each subdomain and (3) applying the principle of harmonic balance. The validity of the technique is demonstrated by applying it to some single-degree-of-freedom vibratory systems.