Recovery of Structural System Properties by Minimization of Finite Element Residuals Error Function

ABSTRACT ln this study, a structural system identification technique using least square minimization of the finite element residuals error function is developed. ln this technique, the structural stiffness of a two dimensional plane stress, plane strain and plate element are recovered. The recovery of element stiffnesses is considered as an inverse analysis problem and can be achieved by application of known static loads and measure the response of the structure which represents the structure associated displacements. The developed technique is based on formulation of the errors J acobian matrix and minimizing the error of residuals function. Once the stiffness matrix of a structure is determined, the internal design forces due to any loading condition can be easily obtained. Two system identification problems, as numerical examples, were used to test the validity of the proposed technique. ln these problems, the