OPTIMUM APPROXIMATION FOR RESIDUAL STIFFNESS IN LINEAR-SYSTEM IDENTIFICATION

A new method of system identification uses projector matrix theory and the Moore-Penrose generalized inverse to derive an analytical stiffness matrix that, when combined with the analytical mass matrix, will more closely predict modal test results. Weighting matrices are used to enforce connectivity and make weighted corrections to the original analytical stiffness matrix. A simple and straightforward mathematical formulation is obtained. The method is compared with other methods found in the literature, and a simple numerical example is presented.