Numerical solution of a coefficient inverse problem of the strength of a heat-loaded thin-walled structure

Abstract

© 2019 IOP Publishing Ltd. We consider the inverse problem of the strength of a thin-walled structure, which is affected by a complex of mechanical and thermal loads. The problem is approximated by the finite element method, using a superelement model that is naturally related to the construction in question. The finite-dimensional problem is a system of nonlinear algebraic equations with coefficients that depend on the vector of the required parameters of the model. To solve the inverse problem, the objective functional is used in the form of a squared discrepancy between the experimental and theoretical deformation values. A gradient method is used to find the minimum of the functional. Gradient information is output using the Lagrange function. The results of numerical experiments for a single caisson of a structure are presented, which confirm the efficiency of the proposed method.