A new eigensolution reanalysis method for modified structures is developed and presented based on the usual first‐order perturbation scheme and the Rayleigh quotients. By this method, the accuracies of the eigensolutions of the modified structures computed by perturbation methods are improved. A numerical example is presented and the accuracies of the usual first‐order perturbation method, second‐order perturbation method, William B. Bickford method and the proposed method are compared.
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Chen et al. (1994) studied this question.
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