Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Effect of Moving Mass on Dynamic Behavior of Cracked Cantilever Beam on Elastic Foundations

탄성기초 위에 놓인 크랙 외팔보의 동특성에 미치는 이동질량의 영향

  • 안성진 (동의대학교 대학원 기계공학과) ;
  • 손인수 (동의대학교 산업기술개발연구소) ;
  • 윤한익 (동의대학교 기계공학부)
  • Published : 2005.10.01
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Abstract

In this paper, the effect of a moving mass on dynamic behavior of the cracked cantilever beam on elastic foundations is presented. Based on the Euler-Bernoulli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. That is, the crack is modelled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces across the crack section and is derived by applying fundamental fracture mechanics theory The crack is assumed to be in the first mode of fracture. As the depth of crack is increased, the tip displacement of the cantilever beam is Increased. When the depth of crack is constant, the frequency of a cracked beam is proportional to the spring stiffness.

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References

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