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A new continuous model for flexural vibration analysis of a cracked beam

Abstract

In this paper a new continuous model for vibration analysis of a beam with an open edge crack is presented. A quasi-linear displacement filed is suggested for the beam and the strain and stress fields are calculated. The equation of motion of the beam is calculated using the Hamilton principle. The calculated equation of motion is solved with a modified weighted residual method and the natural frequencies and mode shapes are obtained. The results are compared with those obtained by finite element method and an excellent agreement has been observed. The presented model is a simple and accurate method for analysis of the cracked beam behavior near or far from the crack tip.

Keywords:

vibration, crack, beam, natural frequency, mode shape, weighted residual

Details

Issue
Vol. 15 No. 2(56) (2008)
Section
Latest Articles
Published
23-07-2008
DOI:
https://doi.org/10.2478/v10012-007-0062-5
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Open Access License

This journal provides immediate open access to its content under the Creative Commons BY 4.0 license. Authors who publish with this journal retain all copyrights and agree to the terms of the CC BY 4.0 license.

 

Author Biography

M. Behzad,
Sharif University of Technology, Mechanical Engineering Department



Authors

  • M. Behzad

    Sharif University of Technology, Mechanical Engineering Department
  • A. Ebrahimi

    Sharif University of Technology, Mechanical Engineering Department
  • A. Meghdari

    Sharif University of Technology, Mechanical Engineering Department

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