Estimation of Impact Load by Inverse Analysis : Optimal Transfer Function for Inverse Analysis

Abstract

The present study is concerned with a method for estimating the impact load acting on a body of arbitrary shape. The authors have already shown that the impact load can be estimated from the impact response of the body by an inverse analysis. In practical application, the impact response data involve noise caused by the measurement system. Since the inverse analysis is sometimes ill-conditioned, such noise tends to be expanded and the estimate of the impact load is obscured by noise. In order to overcome this difficulty, we present a method to minimize the mean square error of the estimate by applying the Wiener filtering theory. We demonstrate the applicability of the present method by numerical simulation of the longitudinal impact of a rod.