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An improved error estimator for Guyan reduction is presented for efficient calculation of the relative eigenvalue error. In this work, the original error estimator is simply redefined in the level of the component matrix by neglecting its component matrices that do not affect the performance of estimation. Consequently, a new simple formulation of the error estimator is developed. Compared with the...
The objective of this study is to develop an error estimator that accurately predicts relative eigenvalue errors in finite element models reduced by Guyan reduction. We present a derivation procedure for the error estimator, in which Kidder’s transformation matrix for Guyan reduction is employed. We demonstrate the excellent performance of the proposed error estimator through various numerical examples:...
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