Skip to main content
SpringerLink
Log in

In-plane Dynamics of Ends-Clamped Fluid Conveying Straight–Curved Pipe

  • Research Paper
  • Published:
Iranian Journal of Science and Technology, Transactions of Mechanical Engineering Aims and scope Submit manuscript

Abstract

This paper focuses on the in-plane dynamics of fluid conveying straight–curved pipe under movable elastic support and excitation. Based on the existed equation of motion reported by other literature, the steady-state combined force is anew defined by the combination of Heaviside function for the first time, two forces originated from the movable elastic support and excitation are also introduced into the above equation. The modal superposition method with new shape functions quite simply constructed is used to study the dynamic characteristics of the present pipe, the characteristic equation for calculating natural frequency, and the accurate expression of steady-state displacement response are finally derived. Influences of movable elastic support and external excitation on the dynamic characteristics are studied deeply under given parameters. As a result, the 1st mode will be later to diverge than single straight pipe when there’s no elastic support; as the spatial coordinate of elastic support increases, the natural frequency will show a periodic-like variation, and the higher order the natural frequency is, the shorter cycle the variation has, besides, the 1st mode will be later to diverge, and the divergence period will expand simultaneously; the vibration may be magnified or demagnified compared with no elastic support. The present method is available in finding maximum mechanical quantities (including lateral displacement, rotation angle, bending moment and elastic restoring shear force) as well as their positions, which is beneficial in avoiding possible losses in engineering practice. The investigation can be radiated to study other forms of fluid–structure interaction dynamic problems concerning fluid conveying pipes with different supporting types or spatial structures.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Abdelbaki AR, Païdoussis MP, Misra AK (2018) A nonlinear model for a free-clamped cylinder subjected to confined axial flow. J Fluid Struct 80:390–404

    Article  Google Scholar 

  • Abu-Hilal M (2003) Forced vibration of Euler-Bernoulli beams by means of dynamic Green functions. J Sound Vib 267:191–207

    Article  MATH  Google Scholar 

  • Abu-Hilal M (2006) Dynamic response of a double Euler-Bernoulli beam due to a movable constant load. J Sound Vib 297:477–491

    Article  Google Scholar 

  • Czerwiński A, Łuczko J (2021) Nonlinear vibrations of planar curved pipes conveying fluid. J Sound Vib 501:116054

    Article  Google Scholar 

  • Dai HL, Wang L, Qian Q, Gan J (2012) Vibration analysis of three-dimensional pipes conveying fluid with consideration of steady combined force by transfer matrix method. Appl Math Comput 219:2453–2464

    MathSciNet  MATH  Google Scholar 

  • Ding H, Chen LQ (2019) Nonlinear vibration of a slightly curved beam with quasi-zero-stiffness isolators. Nonlinear Dyn 95:2367–2382

    Article  MATH  Google Scholar 

  • Gu ZJ, Bai CQ, Zhang HY (2019) Stochastic finite-element modeling and dynamic characteristics analysis of pipe-conveying fluid. J Vib Eng Technol 7(3):251–259

    Article  Google Scholar 

  • Guo CQ, Zhang CH, Païdoussis MP (2010) Modification of equation of motion of fluid-conveying pipe for laminar and turbulent flow profiles. J Fluid Struct 26:793–803

    Article  Google Scholar 

  • Hu YJ, Zhu WD (2018) Vibration analysis of a fluid-conveying curved pipe with an arbitrary undeformed configuration. Appl Math Model 64:624–642

    Article  MathSciNet  MATH  Google Scholar 

  • Kheiri M, Païdoussis MP (2015) Dynamics and stability of a flexible pinned-free cylinder in axial flow. J Fluid Struct 55:204–217

    Article  Google Scholar 

  • Koo GH, Yoo B (2000) Dynamic characteristics of KALIMER IHTS hot leg piping system conveying hot liquid sodium. Int J Pres Ves Pip 77:679–689

    Article  Google Scholar 

  • Li YD, Yang YR (2014) Forced vibration of pipe conveying fluid by the Green function method. Arch Appl Mech 84:1811–1823

    Article  Google Scholar 

  • Li FQ, Chen An, Duan ML, Su J (2019) In-plane and out-of-plane dynamics of curved pipes conveying fluid by integral transform method. J Braz Soc Mech Sci 41:542

    Article  Google Scholar 

  • Łuczko J, Czerwiński A (2019) Three-dimensional dynamics of curved pipes conveying fluid. J Fluid Struct 91:102704

    Article  Google Scholar 

  • Mei C (2008) Application of differential transformation technique to free vibration analysis of a centrifugally stiffened beam. Comput Struct 86:1280–1284

    Article  Google Scholar 

  • Misra AK, Païdoussis MP, Van KS (1988a) On the dynamics of curved pipes transporting fluid, Part I: Inextensible theory. J Fluid Struct 2:211–244

    MATH  Google Scholar 

  • Misra AK, Païdoussis MP, Van KS (1988b) On the dynamics of curved pipes transporting fluid, Part II: Extensible theory. J Fluid Struct 2:245–261

    Article  MATH  Google Scholar 

  • Ni Q, Zhang ZL, Wang L (2011) Application of the differential transformation method to vibration analysis of pipes conveying fluid. Appl Math Comput 217:7028–7038

    MathSciNet  MATH  Google Scholar 

  • Païdoussis MP (2008) The canonical problem of the fluid-conveying pipe and radiation of the knowledge gained to other dynamics problems across applied mechanics. J Sound Vib 310:462–492

    Article  Google Scholar 

  • Tang S, Sweetman B (2021) A geometrically-exact momentum-based nonlinear theory for pipes conveying fluid. J Fluid Struct 100:103190

    Article  Google Scholar 

  • Tang Y, Yang TZ (2018a) Post-buckling behavior and nonlinear vibration analysis of a fluid-conveying pipe composed of functionally graded material. Comput Struct 185:393–400

    Article  Google Scholar 

  • Tang Y, Yang TZ (2018b) Bi-directional functionally graded nanotubes: fluid conveying dynamics. Int J Appl Mech 10(4):1850041

    Article  Google Scholar 

  • Tang M, Ni Q, Wang L, Luo YY, Wang YK (2014) Nonlinear modeling and size-dependent vibration analysis of curved microtubes conveying fluid based on modified couple stress theory. Int J Eng Sci 84:1–10

    Article  MathSciNet  MATH  Google Scholar 

  • Tang Y, Yang TZ, Fang B (2018a) Fractional dynamics of fluid-conveying pipes made of polymer-like materials. Acta Mech Solida Sina 31(2):243–258

    Article  Google Scholar 

  • Tang Y, Yang TZ, Fang B (2018b) Nonlinear vibration analysis of a fractional dynamic model for the viscoelastic pipe conveying fluid. Appl Math Model 56:123–136

    Article  MathSciNet  MATH  Google Scholar 

  • Wang L, Ni Q (2008) In-plane vibration analyses of curved pipes conveying fluid using the generalized differential quadrature rule. Comput Struct 86:133–139

    Article  Google Scholar 

  • Wang L, Ni Q, Huang YY (2007) Dynamical behaviors of a fluid-conveying curved pipe subjected to motion constraints and harmonic excitation. J Sound Vib 306:955–967

    Article  Google Scholar 

  • Wen HB, Yang YR, Li YD, Huang Y (2018) Analysis on a kinetic theoretical model of the straight-curved pipe conveying fluid. Int J Acoust Vib 23(2):240–253

    Google Scholar 

  • Yang Y, Wang JR, Yan WH (2019) Study on dynamic characteristics of microchannel fluid-solid coupling systems in nonlocal stress fields. J Vib Eng Technol 7:477–485

    Article  Google Scholar 

  • Zhao QL, Sun ZL (2017) In-plane forced vibration of curved pipe conveying fluid by Green’s function method. Appl Math Mech-Engl 38(10):1397–1414

    Article  MathSciNet  MATH  Google Scholar 

  • Zhao QL, Sun ZL (2018) Flow-induced vibration of curved pipe conveying fluid by a new transfer matrix method. Eng Appl Comp Fluid 12(1):780–790

    Google Scholar 

  • Zhen YX, Gong YF, Tang Y (2021) Nonlinear vibration analysis of a supercritical fluid-conveying pipe made of functionally graded material with initial curvature. Comput Struct 268:113980

    Article  Google Scholar 

Download references

Acknowledgements

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Changzhou Vocational Institute of Mechatronic Technology, Changzhou, China

    Qianli Zhao & Wei Liu

Authors
  1. Qianli Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wei Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Qianli Zhao.

Ethics declarations

Conflict of interest

None of the authors have any financial or scientific conflicts of interest with regard to the research described in this manuscript.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, Q., Liu, W. In-plane Dynamics of Ends-Clamped Fluid Conveying Straight–Curved Pipe. Iran J Sci Technol Trans Mech Eng 47, 307–318 (2023). https://doi.org/10.1007/s40997-022-00521-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40997-022-00521-0

Keywords

Search

Navigation