Skip to main content
SpringerLink
Log in

Nonlinear Dynamics and Synchronization of Two Coupled Pipes Conveying Pulsating Fluid

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

In this paper, the nonlinear dynamical behavior of two coupled pipes conveying pulsating fluid is studied. The connection between the two pipes is considered as a distributed linear spring. Based on this consideration, the equations of motion of the coupled two-pipe system are obtained. The two coupled nonlinear partial differential equations, discretized using the fourth-order Galerkin method, are solved by a fourth-order Runge-Kutta integration algorithm. Results show that the connection stiffness has a significant effect on the dynamical behavior of the coupled system. It is found that for some parameter values the motion types of the two pipes might be synchronous.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Païoussis, M.P., Fluid-Structure Interactions: Slender Structures and Axial Flow. London: Academic Press, 1998.

    Google Scholar 

  2. Païoussis, M.P. and Issid, N.T., Dynamic stability of pipes conveying fluid. Journal of Sound and Vibration, 1974, 33: 267–294.

    Article  Google Scholar 

  3. Chatjigeorgiou, I.K. and Mavrakos, S.A., Bounded and unbounded coupled transverse response of para-metrically excited vertical marine risers and tensioned cable legs for marine applications. Applied Ocean Research, 2002, 24: 341–354.

    Article  Google Scholar 

  4. Chatjigeorgiou, I.K. and Mavrakos, S.A., Nonlinear resonances of parametrically excited risers—numerical and analytic investigation for Ω = 2ω1. Computers and Structures, 2005, 83: 560–573.

    Article  Google Scholar 

  5. Yang, X.D., Yang, T.Z. and Jin, J.D., Dynamic stability of a beam-model viscoelastic pipe for conveying pulsative fluid. Acta Mechanica Solida Sinica, 2007, 20: 350–356.

    Article  Google Scholar 

  6. Qian, Q., Wang, L. and Ni, Q., Nonlinear responses of a fluid-conveying pipe embedded in nonlinear elastic foundations. Acta Mechanica Solida Sinica, 2008, 21: 170–176.

    Article  Google Scholar 

  7. Stangl, M., Gerstmayr, J. and Irschik, H., An alternative approach for the analysis of nonlinear vibrations of pipes conveying fluid. Journal of Sound and Vibration, 2008, 310: 493–511.

    Article  Google Scholar 

  8. Giacobbi, D.B., Rinaldi, S., Semler, C. and Païoussis, M.P., The dynamics of a cantilevered pipe aspirating fluid studied by experimental, numerical and analytical methods. Journal of Fluids and Structures, 2012, 30: 73–96.

    Article  Google Scholar 

  9. Wang, L., Flutter instability of supported pipes conveying fluid subjected to distributed follower forces. Acta Mechanica Solida Sinica, 2012, 25: 46–52.

    Article  Google Scholar 

  10. Bajaj, A.K., Nonlinear dynamics of tubes carrying a pulsatile flow. Dynamics and Stability of Systems, 1987, 2: 19–41.

    Article  MathSciNet  Google Scholar 

  11. Namchchivaya, N.S., Non-linear dynamics of supported pipe conveying pulsating fluid—I. Subharmonic resonance. International Journal of Non-Linear Mechanics, 1989, 24: 185–196.

    Article  Google Scholar 

  12. Namchchivaya, N.S. and Tien, W.M., Non-linear dynamics of supported pipe conveying pulsating fluid—II. Combination resonance. International Journal of Non-Linear Mechanics, 1989, 24: 197–208.

    Article  Google Scholar 

  13. Öz, H.R., Non-linear vibrations and stability analysis of tensioned pipes conveying fluid with variable velocity. International Journal of Non-Linear Mechanics, 2001, 36: 1031–1039.

    Article  Google Scholar 

  14. Jin, J.D. and Song, Z.Y., Parametric resonances of supported pipes conveying pulsating fluid. Journal of Fluids and Structures, 2005, 20: 763–783.

    Article  Google Scholar 

  15. Panda, L.N. and Kar, R.C., Nonlinear dynamics of a pipe conveying pulsating fluid with parametric and internal resonances. Nonlinear Dynamics, 2007, 49: 9–30.

    Article  Google Scholar 

  16. Panda, L.N. and Kar, R.C., Nonlinear dynamics of a pipe conveying pulsating fluid with combination, principal parametric and internal resonances. Journal of Sound and Vibration, 2008, 309: 375–406.

    Article  Google Scholar 

  17. Wang, L., A further study on the non-linear dynamics of simply supported pipes conveying pulsating fluid. International Journal of Non-Linear Mechanics, 2009, 44: 115–121.

    Article  Google Scholar 

  18. Wang, L., Erratum to “a further study on the non-linear dynamics of simply supported pipes conveying pulsating fluid” [International Journal of Non-Linear Mechanics, 2009, 44: 115–121]. International Journal of Non-Linear Mechanics, 2010, 45: 331–335.

    Article  Google Scholar 

  19. Modarres-Sadeghi, Y. and Paidoussis, M.P., Nonlinear dynamics of extensible fluid-conveying pipes, supported at both ends. Journal of Fluids and Structures, 2009, 25: 535–543.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Department of Mechanics, Huazhong University of Science and Technology, 430074, Wuhan, China

    Qiao Ni, Zilong Zhang, Lin Wang, Qin Qian & Min Tang

Authors
  1. Qiao Ni
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zilong Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Lin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Qin Qian
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Min Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zilong Zhang.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11172107 and 11172109) and the Program for New Century Excellent Talents in University (No. NCET-11-0183).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ni, Q., Zhang, Z., Wang, L. et al. Nonlinear Dynamics and Synchronization of Two Coupled Pipes Conveying Pulsating Fluid. Acta Mech. Solida Sin. 27, 162–171 (2014). https://doi.org/10.1016/S0894-9166(14)60026-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S0894-9166(14)60026-4

Key Words

Search

Navigation