Vol. 37 No. 3 (2026): July - September
2026-09-30
Open Access

Forced bending vibrations of a polymer pipe conveying an ideal fluid

Zafar Boltayev
Gulzira Mirzoyeva
Dildora Salimova
Nurbek Isayev

Received: 2026-10-13

Published: 2026-09-30

PDF (Russian)

Abstract

The paper considers forced bending vibrations of a polymer pipe conveying an ideal fluid. The influence of the fluid flow on the forced vibrations of the polymer pipe under an external driving force is studied theoretically. Using the method of small perturbations, analytical dependences of the displacement field on the frequency, the fluid flow velocity, the point of force application, and the parameters of the pipe and the fluid are obtained. It is shown that the fluid flow has the greatest effect on the vibrations in the vicinity of the resonance of a higher vibration mode of the pipeline with fluid.

Keywords

List of references

  1. Farzad R, Lotfi V. Modal analysis of concrete arch dam–reservoir–massed foundation system in frequency domain. Proc Inst Civ Eng Struct Build. 2023;176(4):244–256.

  2. Azizi Y, Yazdizadeh A. A new uniformly ultimate boundedness criterion for temperature dependent average bristle deflections. Int J Eng. 2020;33(6):1128–1133.

  3. Kolesnikov KS, Samojlov EA, Rybak SA. Dinamika toplivnyh sistem ˇZRD [Dynamics of liquid-propellant rocket engine fuel systems]. Maˇsinostroenie; 1975. (In Russian).

  4. Housner GW. Bending vibrations of a pipeline containing flowing fluid. J Appl Mech. 1952;19:205–208.

  5. Gregory RW, Paidoussis MP. Unstable oscillations of tubular cantilevers conveying fluid. I. Theory. Proc R Soc Lond A. 1966;293:512–527.

  6. Askarian A, Permoon M, Zahedi M, Shakouri M. Stability analysis of viscoelastic pipes conveying fluid with different boundary conditions described by fractional Zener model. Appl Math Model. 2022;103:750–763.

  7. Luczko J, Czerwi´nski A. Parametric vibrations of pipes induced by pulsating flows in hydraulic systems. J Theor Appl Mech. 2014;52(3):719–730.

  8. Wang Y, Tang M, Yang M, Qin T. Three-dimensional dynamics of a cantilevered pipe conveying pulsating fluid. Appl Math Model. 2023;114:502–524.

  9. Yang W, Tao Y, Li X, Chen H. Vibration suppression mechanism of pulsating flow in pipe with tube bundle rectifier. J Vib Eng Technol. 2022;10(6):2373–2384.

  10. Huang Q, Lin T, Safarpour M. Flow-induced vibration attenuation of a viscoelastic pipe conveying fluid under sinusoidal flow using a nonlinear absorber. Mech Based Des Struct Mach. 2022;50(5):1673–1703.

  11. Oyelade AO, Ikhile OG, Oyediran AA. On stability of a slightly curved Maxwell viscoelastic pipe conveying fluid resting on linear viscoelastic foundation. Aust J Mech Eng. 2022;20(4):1164–1171.

  12. Ding H, Ji JC. Vibration analysis and control of pipes conveying fluid: a review. Appl Math Mech (Engl Ed). 2023;44(9):1423–1456.

  13. Hao MY, Ding H, Mao XY, Chen LQ. Stability and nonlinear response analysis of parametric vibration for elastically constrained pipes conveying pulsating fluid. Acta Mech Solida Sin. 2023;36(2):230–240.

  14. Paidoussis MP, Issid N. Dynamic stability of pipes conveying fluid. J Sound Vib. 1974;33(3):267–294.

  15. Norouzi AR, Tahmasebipour M. Effect of AFM cantilever geometry on the DPL nanomachining process. Int J Adv Des Manuf Technol. 2016;9(4):75–80.

  16. Anakira N, Batiha IM, Dehilis S, Irianto I, Oussaeif TE, Chebana Z, et al. Solvability and blow-up of nonlinear singular and degenerate problem with nonlocal condition. Int Rev Model Simul. 2024;17(6):403–415.

  17. Ghasemi M, Javid A. Permeability estimation using rock physics modeling and variational Bayes inversion. Pet Sci. 2025.

  18. Kevorkian JK, Cole JD. Multiple Scale and Singular Perturbation Methods. vol. 114. Springer Science & Business Media; 2012.

  19. Chang X, Hu B. Vibration characteristics and stability analysis of fluid-conveying pipe. Int J Struct Stab Dyn. 2025:2750053.

About the Authors

Zafar Boltayev
boltayev_zafar@bstu.uz
Bukhara State Technical University
Gulzira Mirzoyeva
gmirzoyeva@bstu.uz
Bukhara State Technical University
Dildora Salimova
salimova_dildora@bstu.uz
Bukhara State Technical University
Nurbek Isayev
isayev_nurbek@bstu.uz
Bukhara State Technical University

License

Copyright (c) 2026 Uzbek Journal “Problems of Mechanics”

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Forced bending vibrations of a polymer pipe conveying an ideal fluid. (2026). Uzbek Journal “Problems of Mechanics”, 37(3). https://pmjournal.uz/jour/article/view/21

Similar Articles

You may also start an advanced similarity search for this article.

ISSN 2010-7250 (Print)