A New Analysis Scheme for One-Dimensional Inverse Problem by BEM. Application to Identification of External Loads on the Beam.

Abstract

In the analysis of inverse problems in various fields, it seems that a priori assumptions for the solution is required. This requirement causes many inconveniences on the analysis. We have developed a new analysis scheme for the inverse problems by Introducing the discrete integral method utilizing the delta function. In this report, the new scheme is applied to the one dimensional inverse problems, Namely, a scheme for solving the inverse problem on identification of external loads applied on a beam is developed. It is proved through many examples that the present scheme will give accurate solutions without any assumptions.