Lanczos 방법에 의한 비비례 감쇠 시스템의 고유치 해석 Solution of Eigenproblems for Non-proportional Damping Systems by Lanczos Method

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A solution method is presented to solve the eigenproblem arising in tile dynamic analysis of non-proportional damping systems with symmetric matrices. The method is based on tile use of Lanczos method to generate a Krylov subspace of trial vectors, witch is then used to reduce a large eigenvalue problem to a much smaller one. The method retains the η order quadratic eigenproblem, without the need to the method of matrix augmentation traditionally used to cast the problem as a linear eigenproblem of order 2n. In the process, the method preserves tile sparseness and symmetry of the system matrices and does not invoke complex arithmetics, therefore, making it very economical for use in solving large problems. Numerical results are presented to demonstrate the efficiency and accuracy of the method.
Publisher
한국전산구조공학회
Issue Date
1998-04
Language
KOR
Citation

한국전산구조공학회 학술발표회, pp.283 - 290

URI
http://hdl.handle.net/10203/124966
Appears in Collection
CE-Conference Papers(학술회의논문)
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