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- W854862859 abstract "The eigenvalue analysis for the nonproportionally damped system should be necessarily performed in case of the soil-structure interaction problem and the structural control problem. However, the most eigenvalue analysis methods such as the subspace iteration method and the Lanczos method may miss some eigenpairs in the required ones. Therefore, the eigenvalue analysis method must include a technique to check the missed eigenpairs for the practical tools. In case of the undamped or proportionally damped structures, the missed eigenpairs can be checked by using the Sturm sequence property, while in case of the nonproportionally damped structures, a checking technique has not been developed yet. In this paper, the mathematical properties such as the extension of the Sturm sequence property, the Routh-Hurwitz criterion and the argument principle have been first reviewed thoroughly, and then the technique that can check the missed eigenpairs in case of the nonproportionally damped structures by applying the argument principle is proposed. To show the effectiveness of the proposed method, a numerical example is considered." @default.
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- W854862859 date "1999-01-01" @default.
- W854862859 modified "2023-09-23" @default.
- W854862859 title "Technique of Checking Missed Eigenvalues for Nonproportionally Damped System" @default.
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