Abstract
The accurate mathematical models for complicated structures are very difficult to construct. The work presented here provides an identification method for estimating the mass, damping, and stiffness matrices of linear dynamical systems from incomplete experimental data. The mass, stiffness, and damping matrices are assumed to be real, symmetric, and positive definite. The partial set of experimental complex eigenvalues and corresponding eigenvectors are given. In the proposed method the least squares algorithm is combined with the interation technique to determine system's identified matrices and corresponding design parameters. Several illustrative examples, are presented to demonstrate the reliability of the proposed method. It is emphasized that the mass, damping and stiffness matrices can be identified simultaneously.
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