Identification of Nonlinear Multi-Degree-of-Freedom Systems : Identification Under Noisy Measurements

Abstract

In a previous paper, the authors proposed a new technique for identifying non-linear multi-degree-of-freedom systems. In this paper, the applicability of the proposed technique under noisy measurements is discussed using several examples. It is shown that a high accuracy of identification can be obtained when (1) the excitation frequency takes appropriate values, (2) the order of truncation in the Fourier-series expansion is two or three, and (3) the excitation has appropriate amplitudes.