Skip Navigation Links
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu


Nonlinear Oscillations of an Articulated Pipe System Subjected to Oil Flow and External Excitations

Journal of Applied Nonlinear Dynamics 3(3) (2014) 255--269 | DOI:10.5890/JAND.2014.09.005

L. Dai; Y. Zhang, X. Wang; T. Huang

Industrial Systems Engineering, University of Regina, Regina, SK, Canada S4S 0A2

Download Full Text PDF

 

Abstract

Articulated pipes conveying fluids are widely used in industries especially petroleum industries. The nonlinear oscillations of an articulated pipe jointed with an oil conveying system is studies and characterized in this research. The responses of the articulated pipe without external excitation are analyzed. The oscillations of the pipe corresponding to the fluid flow and joint stiffness are investigated in detail. The nonlinear oscillations of the pipe subjected to external excitation are also studied in this research. The periodic, quasi-periodic and chaotic oscillations of the pipe are found in the study. The nonlinear behaviors of the pipe’s responses are diagnosed and characterized with employment of the Periodicity Ratio (P-R) method. A regularirregular region diagram is developed corresponding to wide ranges of system parametric values, reflecting those used in engineering practices. The results of the research provide practically sound guidance for industrial application and research in this field.

Acknowledgments

The authors would like to acknowledge with great appreciation for the supports from National Science and Engineering Research Council of Canada (NSERC). The supports from the Nonlinear Science research team at the Sino-Canada Research Centre for Noise and Vibration Control are significant to the performance of the research.

References

  1. [1]  Benjamin, T.B. (1961), Dynamics of a System of Articulated Pipes Conveying Fluid. I. Theory, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 261, 457-486.
  2. [2]  Holmes, P.J. (1977), Bifurcations to Divergence and Flutter in Flow-Induced Oscillations: A Finite Dimensional Analysis, Journal of Sound and Vibration, 53, 32.
  3. [3]  Bohn M.P. and Herrmann, G. (1972), Instabilities of a spatial system of articulated pipes conveying fluid, AFOSR Scientific Report, 72.
  4. [4]  Rousselet J. and Herrmann, G. (1977), Flutter of articulated pipes at finite amplitude, Journal of Applied Mechanics, 44, 5.
  5. [5]  Jendrzejczyk J.A. and Chen, S.S. (1985), Experiments on tubes conveying fluid, Thin-walled Structures, 3, 26.
  6. [6]  Paidoussis M.P. and Moon, F.C. (1988), Nonlinear and chaotic fluidelastic vibrations of a flexible pipe conveying fluid, Journal of Fluids and Structures, 2, 25.
  7. [7]  Jin, J.D. (1997), Stability and chaotic motions of a restrained pipe conveying fluid, Journal of Sound and Vibration, 208, 13.
  8. [8]  Impollonia N. and Elishakoff, I. (2000), Effect of Elastic Foundation on Divergence and Flutter of an Articulated Pipe Conveying Fluid, Journal of Fluids and Structures, 14, 15.
  9. [9]  Jensen, J.S. (1999), Articulated Pipes Conveying Fluid PulsatingWith High Frequency, Nonlinear Dynamics, 19, 21.
  10. [10]  Lee S.I. and Chung, J. (2002), New Non-Linear Modelling for Vibration Analysis of a Straight Pipe Conveying Fluid, Journal of Sound and Vibration, 254, 313-325.
  11. [11]  Ibrahim, R.A. (2010), Overview of Mechanics of Pipes Conveying Fluids—Part I: Fundamental Studies, Journal of Pressure Vessel Technology, 132, 034001.
  12. [12]  Zhang, J.Z. (2012), et al., Stability Analysis of Flow Pattern in Flow around Body by POD, Journal of Applied Nonlinear Dynamics, 1, 387-399.
  13. [13]  Awasthi, M.K. and Agrawal, G.S.(2012), Nonlinear analysis of capillary instability with heat and mass transfer, Communications in Nonlinear Science and Numerical Simulation, 17, 2463-2475.
  14. [14]  Dajun,W.et al., (2013), Nonlinear low frequency water waves in a cylindrical shell subjected to high frequency excitations—Part I: Experimental study, Communications in Nonlinear Science and Numerical Simulation, 18, 1710-1724.
  15. [15]  Zhou, C. and Wang, D. (2014), Nonlinear low frequency water waves in a cylindrical shell subjected to high frequency excitations—Part II: Theoretical analysis, Communications in Nonlinear Science and Numerical Simulation, 19, 1128-1141.
  16. [16]  Paidoussis,M.P. (1998), Fluid-Structure Interactions: Slender Structures and Axial Flow Volume 1, Academic Press, San Diego.
  17. [17]  Dai, L. and Singh, M.C. (1998), Periodicity ratio in diagnosing chaotic vibrations, presented at the 15th Canadian Congress of Applied Mechanics 1, Victoria, BC, Canada.
  18. [18]  Dai, L. (2008), Nonlinear Dynamics of Piece Constant Systems and Implementation of Piecewise Constant Arguments, World Scientific, New Jersey.