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- W2007882327 abstract "An iterative method is presented for the efficient calculation of eigenpairs in dynamic problems. Based on the dynamic condensation, the method has been improved through the use of a modified subspace iteration and dynamic reduction. While the usual dynamic condensation method gets the eigenpairs one by one and requires repeated decomposition of the dynamic stiffness matrix, several eigenpairs are to be obtained simultaneously in the present study. The approximate eigenvectors obtained in the dynamic condensation are used as a starting point in the next step of simplified inverse iteration. The proposed method carries out the inverse calculation for the primary and secondary degrees of freedom separately. Hence, the decomposition of the original stiffness matrix is not required. The minimization of the Rayleigh quotient gives an eigenproblem in a reduced subspace and provides the orthogonality of the approximate eigenvectors. It should be emphasized that the orthogonality is only a necessary condition for the solution. For further improvement, an expanded subspace can be considered using a transformation matrix and the approximate eigenmodes. Numerical examples in a typical problem show fast convergence. Even when the eigenvalues are closely distributed, excellent results can be obtained." @default.
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- W2007882327 date "1995-07-01" @default.
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- W2007882327 title "Hybrid dynamic condensation for eigenproblems" @default.
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- W2007882327 doi "https://doi.org/10.1016/0045-7949(94)00538-e" @default.
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