Natural Frequencies of Euler-Bernoulli Beam with Open Cracks on Elastic Foundations

  • Shin Young-Jae (Andong National University, Department of Mechanical Engineering) ;
  • Yun Jong-Hak (Andong National University, Department of Mechanical Engineering) ;
  • Seong Kyeong-Youn (Kyungpook National University, Department of Mechanical Engineering) ;
  • Kim Jae-Ho (Kyungpook National University, Department of Mechanical Engineering) ;
  • Kang Sung-Hwang (Catholicsangji College, Department of Automotive Engineering)
  • Published : 2006.04.01

Abstract

A study of the natural vibrations of beam resting on elastic foundation with finite number of transverse open cracks is presented. Frequency equations are derived for beams with different end restraints. Euler-Bernoulli beam on Pasternak foundation and Euler-Bernoulli beam on Pasternak foundation are investigated. The cracks are modeled by massless substitute spring. The effects of the crack location, size and its number and the foundation constants, on the natural frequencies of the beam, are investigated.

Keywords

References

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