National Tsing Hua University Institutional Repository:Numerical algorithms for undamped gyroscopic systems
English  |  正體中文  |  简体中文  |  Items with full text/Total items : 54367/62174 (87%)
Visitors : 14928119      Online Users : 143
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTHU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    NTHUR > College of Science  > Department of Mathematics > MATH Journal / Magazine Articles >  Numerical algorithms for undamped gyroscopic systems

    Please use this identifier to cite or link to this item:

    Title: Numerical algorithms for undamped gyroscopic systems
    Authors: Ferng WR;Lin WW;Wang CS
    Teacher: 林文偉
    Date: 1999
    Relation: COMPUTERS & MATHEMATICS WITH APPLICATIONS,Volume: 37,Issue: 1,Pages: 49-66,Published: JAN 1999
    Abstract: 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.
    Appears in Collections:[Department of Mathematics] MATH Journal / Magazine Articles

    Files in This Item:

    File Description SizeFormat


    SFX Query


    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback