Abstract

A method for modifying characteristic matrices (such as stiffness and mass matrices) derived from FEM analysis by engenpairs and the frequency response measured through experiments is studied from two points of view using an FEM beam model. One is reducing the number of design variables and the other is selecting the natural mode sensitivity analysis method which provides the most effective modification. The former can be accomplished qualitatively. As for the later, the simultaneous inverse sensitivity method developed by the first author is found to be most effective when the Gauss-Seidel Method is used for calculating the triangular decomposition of the changed structure using that of the present structure. We attempt to identify design variables with frequency response using the simultaneous inverse sensitivity method. We demonstrate that the residual compliance matrix can be acquired through experiments, although this had been very difficult to accomplish previously.

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