An estimation of impact force by convolution integral.

Abstract

An estimation of the impact force applied to the arbitrary shaped body is described. The estimation method is based on the principle that the impact force applied to the elastic body can be expressed by the convolution integral of the produced strain and the transfer function for the each position of the body. Approximating the transfer function with a progression of impulses, the convolution integral and its reverse calculation are carried out directly. In order to ascertain the present method some londitudinal impact tests were done for the straight round bar and the stepped one and the impact forces applied to the top ends of the bars were estimated. As a results it was found that the estimated values by the present method are more closely agreed with the measured values than that by FFT. And using the present method, the impact forces of some Charpy impact tests were also estimated.