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An accurate error estimator for Guyan reduction. (English) Zbl 1423.74897
Summary: 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.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74H45 Vibrations in dynamical problems in solid mechanics
Software:
ARPACK
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References:
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