Identification of Dynamic Pressure Distribution Applied to the Elastic Thin Plate.

Abstract

This paper deals with a strategy for identification of dynamic pressure distribution applied to the elastic thin plate. Boundary element method is adopted to obtain discretized matrix relation between input loading and output signal, where strain information is used as a supplementary information of the inverse analysis in the present study. Laplace transform and numerical inverse Laplace inversion are introduced in order to treat the dynamic behavior. The coefficient matrix to be solved is given on the Laplace-transformed domain as the form of transfer function relating input and output signals. Since the inverse analysis requires regularization to stabilize the ill-posed solutions, Tikhonov regularization has been employed with singular value decomposition, where the optimal parameter of Tikhonov method was determined by Hansen's L-curve method. Through some numerical simulation on the circular plate subjected to dynamically distributed loading, the usefulness of the present method based on the Laplace-transformed-BEM is demonstrated in detail.