A study on an estimation technique for the transverse impact of plates

This paper describes a numerical algorithm to determine the response of the structure due to a known force. The inverse dynamics problem in structural dynamics is to estimate the unknown forcing function using dynamic response. Theory of plates is employed to solve inverse problems in elasticity with specific applications to position and force sensing. In this paper, the contact force during the transverse impact of a plate is given and the response is solved. A Kalman filter technique was used to numerically estimate an applied force on the plate with the numerical response by an inverse method. In order to examine the accuracy of the proposed method, the plate is subjected to four type forces, which are triangular, sinusoidal, rectangular and random force. The estimated results have a good agreement with the exact values in all cases tested.