Title: Improved hybrid dynamic condensation for eigenproblems
Abstract: An efficient iterative method is presented for the solution of eigenproblem of large structural systems. The proposed method is a combination of dynamic condensation, modified subspace iteration, and modal reduction. Compared with static condensation, dynamic condensation methods are effective and less dependent on the selection of primary and secondary DOFs. The exact formulation of inverse iteration is carried out in the condensed subspace. The stationary principle of Rayleigh quotient gives an eigenproblem in the reduced subspace. The subspace eigensolution yields a better approximation which satisfies the equation of orthogonality or necessary c ondition for the exact solution. It is believed that the inverse iteration accelerates the convergence and the subspace eigensolution stabilizes the solution search. An expanded subspace, if necessary, can give a further improvement and also provide good starting vectors when another group of adjacent eigenmodes are desired. The major advantage of the present study is that several eigenpairs can be obtained simultaneously with solution accuracy and computational efficiency through a combined reduction procedure. (Author)
Publication Year: 1996
Publication Date: 1996-04-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 10
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