Methods of Pseudo-Inverse Algebra in State Identification Problems for Thick Elastic Plates

Abstract

The authors solve identification problems for the three-dimensional function of transverse displacements of points of a thick elastic plate of finite dimensions, whose dynamics can be described by a linear differential model with discrete and continuous observations of the initial---boundary-value external dynamic perturbations of the plate. The working criterion is the RMS criterion of fitting the obtained solution and observations of the plate and methods of linear pseudo-inverse algebra. The conditions of accuracy and uniqueness of the identification results are formulated.