Structural Engineering and Mechanics

  • 제3권4호
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  • Pages.313-324
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  • 1995
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Vibration and stability of fluid conveying pipes with stochastic parameters

  • Ganesan, R. (Department of Mechanical Engineering, Concordia University) ;
  • Ramu, S. Anantha (Department of Civil Engineering, Indian Institute of Science)
  • 발행 : 1995.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

Flexible cantilever pipes conveying fluids with high velocity are analysed for their dynamic response and stability behaviour. The Young's modulus and mass per unit length of the pipe material have a stochastic distribution. The stochastic fields, that model the fluctuations of Young's modulus and mass density are characterized through their respective means, variances and autocorrelation functions or their equivalent power spectral density functions. The stochastic non self-adjoint partial differential equation is solved for the moments of characteristic values, by treating the point fluctuations to be stochastic perturbations. The second-order statistics of vibration frequencies and mode shapes are obtained. The critical flow velocity is first evaluated using the averaged eigenvalue equation. Through the eigenvalue equation, the statistics of vibration frequencies are transformed to yield critical flow velocity statistics. Expressions for the bounds of eigenvalues are obtained, which in turn yield the corresponding bounds for critical flow velocities.

키워드

참고문헌

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  4. Dynamic stability of a pipe conveying fluid with an uncertain computational model vol.49, 2014, https://doi.org/10.1016/j.jfluidstructs.2014.05.003
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  7. Stochastic Finite-Element Modeling and Dynamic Characteristics Analysis of Pipe-Conveying Fluid vol.7, pp.3, 1995, https://doi.org/10.1007/s42417-019-00118-z