IDENTIFICATION OF NONLINEAR STRUCTURAL DYNAMIC SYSTEMS USING WAVELETS

Abstract

This paper addresses the use of wavelets for the identification of nonlinear structural dynamic systems. The proposed method accurately determines hysteresis curves and damping coefficients of the structural system without pre-assumptions of nonlinear characteristics of the system, whereby it enables clarification of the complex phenomena. In this method, incremental stiffness of the structural system is expressed as a series expansion of wavelets. Coefficients of the series are estimated by the least-squares method. This method has been applied to a variety of problems, which show the effectiveness of the method.