Optimum approximation for residual stiffness in linear system identification

A new method of system identification uti 1 i zes projector m atrix theory and the MoorePenrose generalized inverse to derive an analytical stiffness matrix which, when combined with the analytical mass matrix, will more closely p redict modal test results. Weighting matrices a re 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 and contrasted with other methods found in the literature, and a simple numerical example is presented.