Stiffness matrix adjustment using mode data

Abstract

A procedure is introduced that uses, in addition to mode data, structural connectivity information to optimally adjust deficient stiffness matrices. The adjustments performed are such that the percentage change to each stiffness coefficient is minimized. The physical configuration of the analytical model is preserved and the adjusted model will exactly reproduce the modes used in the identification. The theoretical development is presented and the procedure is demonstrated by numerical simulation of a test problem.