Asymptotic Approach to Free Beam Vibration Analysis

The equations described free longitudinal and lateral vibrations of the rectilinear elastic beams with the rectangular cross section are derived based on the theory of linear elasticity and the method of integrodifferential relations. The original system of partial differential equations is reduced to the system of ordinary differential equations with constant coefficients. The influence of geometrical and elastic properties of the beam on eigenvalues and eigenfunctions are investigated. The existence of the different displacement and internal stress types of the longitudinal motions are shown. The presence of 2 frequency zones corresponded to different kinds of characteristic solutions for the lateral vibrations is detected.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/08931321
• Supplemental Notes:
  • Abstract reprinted with permission from ASCE
• Authors:
  • Kostin, G V
  • Saurin, V V
• Publication Date: 2009-10

Language

• English

Media Info

• Media Type: Print
• Features: Figures; References;
• Pagination: pp 456-459
• Serial:
  • Journal of Aerospace Engineering
  • Volume: 22
  • Issue Number: 4
  • Publisher: American Society of Civil Engineers
  • ISSN: 0893-1321
  • EISSN: 1943-5525
  • Serial URL: http://ascelibrary.org/journal/jaeeez

Subject/Index Terms

• TRT Terms: Aerospace engineering; Asymptotic expansion; Beams; Eigenvalues; Eigenvectors; Mechanical elasticity; Vibration
• Uncontrolled Terms: Generalized beam theory
• Subject Areas: Aviation; Vehicles and Equipment; I91: Vehicle Design and Safety;

Filing Info

• Accession Number: 01141919
• Record Type: Publication
• Files: TRIS
• Created Date: Oct 20 2009 7:40AM