Estimation of impact load by inverse analysis. Optimal transfer function for inverse analysis

The present study is concerned with a method for estimating impact load acting on a body of arbitrary shape. It is known that the impact load can be estimated from the impact response of the body by an inverse analysis. In practical situations, the impact response data involves noise caused by the measurement system. Since the inverse analysis is usually ill-conditioned, such noise tends to be expanded and the estimated impact load is obscured by noise. For solving this problem, we show a method to minimize the mean square error of estimation by applying the Wiener filtering theory. We demonstrate the availability of the present method by numerical simulation on the longitudinal impact of the rod.