An accurate error estimator for Guyan reduction

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: rectangular plate, cylindrical panel, hyperboloid panel, and shaft–shaft interaction problems.