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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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A Study on the Dynamic Behavior of Cracked Pipe Conveying Fluid Using Theory of Timoshenko Beam

티모센코 보이론을 적용한 크랙을 가진 유체유동 파이프의 동특성에 관한 연구

  • 진종태 (부산정보대학 기계자동차계열) ;
  • 손인수 (동의대학교 대학원 기계공학과) ;
  • 윤한익 (동의대학교 기계정보산업공학부)
  • Published : 2004.03.01
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Abstract

In this paper a dynamic behavior of a simply supported cracked pipe conveying fluid with the moving mass is presented. Based on the Timoshenko 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 i.e. 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. And the crack is assumed to be in th first mode of fracture. As the depth of the crack and velocity of fluid are increased the mid-span deflection of the pipe conveying fluid with the moving mass is increased. As depth of the crack is increased, the effect of the velocity of the fluid on the mid-span deflection appears more greatly.

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References

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