Identification of mechanical systems through volterra series - study of benchmark cases

Abstract

Nonlinear eects are broadly presents in several kinds of mechanical systems. Thus, it is necessary to use a suitable tool that becomes possible to characterize these nonlinearities in many situations. Volterra series can be useful for describing nonlinear systems through multiple convolutions. In this sense, the main goal of this work is to approximate the solutions of the motion equations using Volterra series in order to describe the nonlinear dynamical behavior of some mechanical benchmarks. Dung oscillator, bilinear oscillator and a quadratically damped oscillator are analyzed to illustrate the eciency, advantages and drawbacks of the proposed approach.