Abstract
An iterative dynamic condensation method for the model reduction is presented in this paper. Dynamic condensation method has been widely applied to large finite element models for faster computation of the natural frequencies and mode shapes. It has also been used in correlation of test-analysis models, vibration control, and structural dynamic optimization. Based on the subspace iteration method, an iterative dynamic condensation technique is employed. The proposed method has three advantages compared with other iterative schemes proposed in the past: (1) The convergence is much faster than all these methods, especially when the eigenpairs of the reduced model are close to those of the full model. (2) Since the dynamic condensation matrix is independent of the eigenpairs of the reduced model, it is unnecessary to calculate the stiffness and mass matrices in every iteration. (3) The convergence of the iterative scheme can be proved simply. Two iteration schemes, which are based on the convergence of the eigenvalues of the reduced model, are introduced. Numerical examples are presented to verify the effectiveness of this technique.
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Jung, YK., Qu, ZQ. & Jung, DS. Structural dynamic condensation method with an iterative scheme. KSCE J Civ Eng 8, 205–211 (2004). https://doi.org/10.1007/BF02829120
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DOI: https://doi.org/10.1007/BF02829120