USE OF NEWTON METHOD FOR SOLVING PROBLEMS OF BEAM SYSTEM IDENTIFICATION

Abstract

The new approaches to solving identification problems of an elastic structure by the experimental data processing on the displacements of a damaged structure under given harmonic forces are proposed. The parameters of the system considered are determined subject to the displacement equality of the calculated model to the experimental displacements under the action of one and the same external dynamic loads. The use of Newton method in combination with the least squares method allows to construct an effective algorithm of determining design system parameters (law of stiffness and mass distribution over the structure volume). The results of numerical testing of the considered approaches, based on the examples of solving beam identification problems, are given in the paper.