National Tsing Hua University Institutional Repository:Numerical algorithms for undamped gyroscopic systems
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    National Tsing Hua University Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Numerical algorithms for undamped gyroscopic systems


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    題名: Numerical algorithms for undamped gyroscopic systems
    作者: Ferng WR;Lin WW;Wang CS
    教師: 林文偉
    日期: 1999
    出版者: PERGAMON-ELSEVIER SCIENCE LTD
    關聯: COMPUTERS & MATHEMATICS WITH APPLICATIONS,Volume: 37,Issue: 1,Pages: 49-66,Published: JAN 1999
    關鍵詞: LANCZOS-ALGORITHM
    摘要: The solutions of a gyroscopic vibrating system oscillating about an equilibrium position, with no external applied forces and no damping forces, are completely determined by the quadratic eigenvalue problem (-lambda(i)(2)M + lambda(i)G + K)x(i) = 0, for i = 1, ..., 2n, where M, G, and K are real n x n matrices, and M is symmetric positive definite (denoted by M > 0), G is skew symmetric, and either K > 0 or -K > 0. Gyroscopic systemin motion about a stable equilibrium position (with -K > 0) are well understood. Two Lanczos-type algorithms, the pseudo skew symmetric Lanczos algorithm and the J-Lanczos algorithm, are studied for computing some extreme eigenpairs for solving gyroscopic systems in motion about an unstable equilibrium position (with K > 0). Shift and invert strategies, error bounds, implementation issues, and numerical results for both algorithms are presented in details.
    URI: http://www.elsevier.com/wps/find/homepage.cws_home
    http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/45747
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