Identification of the Nonlinear Vibration Characteristics Based on the Wiener Kernels

Abstract

Wiener series are the important functional series describing nonlinear system. If an input signal is the Gaussian white noise, the wiener kernels are estimated through calculating the cross-correlation functions of the input and output of a nonlinear system. In this paper, a single-DOF quadratic nonlinear system is identified by the Wiener series. The results show that the intensity of the nonlinear response can be expressed by the second-order kernel.