Dynamic stability of a beam-model viscoelastic pipe for conveying pulsative fluid
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The dynamic stability in transverse vibration of a viscoelastic pipe for conveying pulsative fluid is investigated for the simply-supported case. The material property of the beam-model pipe is described by the Kelvin-type viscoelastic constitutive relation. The axial fluid speed is characterized as simple harmonic variation about a constant mean speed. The method of multiple scales is applied directly to the governing partial differential equation without discretization when the viscoelastic damping and the periodical excitation are considered small. The stability conditions are presented in the case of subharmonic and combination resonance. Numerical results show the effect of viscosity and mass ratio on instability regions.
Key wordsparametric resonance fluid conveying pipes multiple scale method
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- Païdoussis, M.P., Fluid-Structure Interactions, Vol 1: Slender Structures and Axial Flow. San Diego, CA: Academic Press Inc., 1998.Google Scholar
- Lee, S.Y. and Mote, C.D. Jr, A generalized treatment of the energetics of translating continua, Part II: Beams and fluid conveying pipes. Journal of Sound and Vibration, 1977, 204: 725–753.Google Scholar
- Ni Qiao and Huang Yuying, Differential quadrature method to stability analysis of pipes conveying fluid with spring support. Acta Mechanica Solida Sinica, 2000, 13(4): 320–327.Google Scholar