A finite element-based methodology for inverse problem of determining contact forces using measured displacementsy

摘要

The identification of contact forces applied on a solid body or structure is a special case of a general class of inverse problems. This problem is very complicated, especially when there is insufficient boundary information in the region where the contact forces need to be identified. In this article, the unknown loads or contact forces are identified by minimizing the criterion function derived as the sum of squares of the differences between measurements and numerical results of the finite element method. A detailed description of the formulation, analysis and solution of the inverse problems are given. The Tikhonov-Phillips regularization technique is employed to reduce the noise in the measurements. Three examples are chosen to demonstrate the accuracy of the numerical algorithm.