Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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New Non-linear Modelling for Vibration Analysis of a Straight Pipe Conveying Fluid

유체를 이송하는 직선관의 진동 해석을 위한 새로운 비선형 모델링

  • 이수일 (한양대학교 BK21 기계산업단) ;
  • 정진태 (한양대학교 공학대학 기계공학과) ;
  • 임형빈 (한양대학교 대학원 정밀기계공학과)
  • Published : 2002.03.01
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Abstract

A new non-linear modelling of a straight pipe conveying fluid is presented for vibration analysis when the pipe is fixed at both ends. Using the Euler-Bernoulli beam theory and the non-linear Lagrange strain theory, from the extended Hamilton's principle are derived the coupled non-linear equations of motion for the longitudinal and transverse displacements. These equations of motion are discretized by using the Galerkin method. After the discretized equations are linearized in the neighbourhood of the equilibrium position, the natural frequencies are computed from the linearized equations. On the other hand, the time histories for the displacements are also obtained by applying the generalized-$\alpha$ time integration method to the non-linear discretized equations. The validity of the new modelling is provided by comparing results from the proposed non-linear equations with those from the equations proposed by Paidoussis.

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References

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