Vibration characteristics analysis of fluid-conveying pipe system with general elastic boundary supports

被引:0
|
作者
Ma T. [1 ]
Du J.-T. [1 ]
Xu D.-S. [1 ]
Dai L. [2 ]
Zhang Y. [1 ]
机构
[1] College of Power and Energy Engineering, Harbin Engineering University, Harbin
[2] Science and Technology on Thermal Energy and Power Laboratory, Wuhan Second Ship Design and Research Institute, Wuhan
关键词
Elastic boundary supports; Fluid-conveying pipe; Fourier series; Pipe vibration;
D O I
10.16385/j.cnki.issn.1004-4523.2018.03.010
中图分类号
学科分类号
摘要
In this paper, an improved Fourier series method is employed to analytically model the coupled vibration characteristics of the fluid-conveying pipe system with arbitrary elastic boundary supports. By introducing two types of boundary restraining springs at both ends of the pipe, all the classical boundary conditions as well as their combination can be easily realized by setting the stiffness coefficients accordingly. The transverse vibrational displacement of the fluid-conveying pipe is expanded as the superposition of standard Fourier series and the boundary smoothed supplementary functions, to ensure that the displacement function is sufficiently smooth in the entire region [0, L]. Through solving the governing equations and the elastic boundary conditions simultaneously, the standard eigen-value matrix problem is obtained. Numerical examples are then given to validate the proposed model in predicting the modal characteristics of fluid-conveying pipe. Based on the model established, the influence of the boundary stiffness on the coupled vibration characteristics of fluid-conveying pipe is discussed and analyzed. The current model is efficient and accurate, which can provide a tool of analysis for the study of vibration characteristics with complex boundary constraints. © 2018, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.
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页码:441 / 449
页数:8
相关论文
共 17 条
  • [1] Paidoussis M.P., Li G.X., Pipes conveying fluid: a model dynamical problem, Journal of Fluids & Structures, 7, 2, pp. 137-204, (1993)
  • [2] Huang Y., Zou S., Advances and trends of nonlinear dynamics if pipes conveying fluid, Advances in Mechanics, 28, 1, pp. 30-42, (1988)
  • [3] Zhang L., Huang W., Tijsseling A.S., Review of FSI analysis of fluid-conveying pipes, Journal of Hydrodynamics, 15, 3, pp. 366-379, (2000)
  • [4] Liang B., Tang J., Analysis of the dynamic characteristics and stability of pipes conveying fluid by finite element method, Acta Mechanica Solida Sinica, 14, 2, pp. 167-170, (1993)
  • [5] Jin J., Song Z., Yang X., Stability and parametric resonances of a clamped-clamped pipe conveying fluid, Journal of Vibration Engineering, 17, 2, pp. 190-195, (2004)
  • [6] Panda L.N., Kar R.C., Nonlinear dynamics of a pipe conveying pulsating fluid with parametric and internal resonances, Nonlinear Dynamics, 49, 1, pp. 9-30, (2007)
  • [7] Noah S.T., Hopkins G.R., Dynamic stability of elastically supported pipes conveying pulsating fluid, Journal of Sound & Vibration, 71, 1, pp. 103-116, (1980)
  • [8] Ma X., Xiang Y., Huang Y., A transfer matrix method for solving stability of pipes conveying fluid on elastic foundation with various end supports, Engineering Mechanics, 21, 4, pp. 194-198, (2004)
  • [9] Chellapilla K.R., Simha H.S., Critical velocity of fluid-conveying pipes resting on two-parameter foundation, Journal of Sound & Vibration, 302, 1-2, pp. 387-397, (2007)
  • [10] Bao R., Wen B., Differential quadrature method to analyze stability of elastically-supported fluid conveying pipelines, Journal of Northeastern University (Natural Science), 28, 7, pp. 1017-1020, (2007)