Analytical expressions are developed for computing eigenvector derivatives, specialized for the case of mechanical second-order dynamic systems. Both exact and approximate formulations are developed using a modal expa...
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Analytical expressions are developed for computing eigenvector derivatives, specialized for the case of mechanical second-order dynamic systems. Both exact and approximate formulations are developed using a modal expansion approach. The new exact formulations are found to be numerically accurate and to require significantly less computing time than the corresponding generalized formulations. An improved approximate method is also introduced for computing a truncated set of eigenvector derivatives for large structural systems. Numerical ex amples are included to evaluate the effectiveness of the approximate formulations, and they are found to be very efficient in the cases studied.
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