Determination of Natural Frequencies and Mode Shapes of Structures Using Subspace Iteration Method with Accelerated Starting Vectors

Natural frequencies and mode shapes of structures are determined from eigenvalue analysis. This paper proposes a subspace iteration method with an accelerated Lanczos starting subspace for the efficient eigenvalue analysis of structures. The proposed method uses accelerated Lanczos vectors as starting vectors in order to reduce the number of subspace iterations. Accelerated Lanczos starting vectors are generated by employing the repeated forward reduction and back substitution. The proposed method has less computing time than the subspace iteration method with a conventional Lanczos starting subspace when the number of required eigenpairs is relatively small. The efficiency of the proposed method is verified through numerical examples.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339445
• Authors:
  • Kim, Byoung-Wan
  • Cho, Sang-Won
  • Kim, Chun-Ho
  • Lee, Inwon
• Publication Date: 2005-7

Language

• English

Media Info

• Media Type: Print
• Features: Figures; References; Tables;
• Pagination: pp 1146-1149
• Serial:
  • Journal of Structural Engineering
  • Volume: 131
  • Issue Number: 7
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9445
  • Serial URL: http://ascelibrary.org/loi/jsendh

Subject/Index Terms

• TRT Terms: Eigenvalues; Mathematical models; Natural frequency; Structural analysis; Vector analysis
• Uncontrolled Terms: Lanczos vectors
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 01002514
• Record Type: Publication
• Files: TRIS
• Created Date: Jul 29 2005 8:59AM