Dynamic stability of a straight pipe conveying pulsatile flow under thermal loads

Dynamic stability of a straight pipe conveying pulsatile flow under thermal loads

Автор: Lolov D.S., Lilkova-markova Sv.V.

Журнал: Вестник Пермского национального исследовательского политехнического университета. Механика @vestnik-pnrpu-mechanics

Статья в выпуске: 2, 2023 года.

Бесплатный доступ

Pipes conveying fluid are considered as a fundamental dynamical problem in the field of fluid-structure interaction. They are widely used in the petroleum industry, in nuclear engineering, aviation and aerospace, in nanostructures. This article investigates the effect of temperature load on the dynamic stability of a straight pipe conveying pulsatile flow. The fluid velocity is a harmonic function of time. The Galerkin method is applied for the solution of the differential equation of the transverse vibrations of the pipe. The differential equation is reduced to a first-order differential equation system. The system of differential equations is transformed and rewritten in a matrix form. The harmonic function of the fluid velocity allows the Floquet theory to be applied in order to investigate the dynamic stability of the system. The static scheme of the investigated pipe is a beam with restricted horizontal and vertical displacements at both of its ends. A numerical solution for a straight pipe conveying fluid with specified geometric and physical characteristics has been carried out. The temperature load and the constant fluid rate are considered as parameters of the problem. The results show that the temperature load affects the vibrational characteristics of the pipe, as well as its critical velocity.

Еще

Pipe, fluid, dynamic stability, thermal load, pulsatile flow

Короткий адрес: https://sciup.org/146282667

IDR: 146282667   |   DOI: 10.15593/perm.mech/2023.2.01

Список литературы Dynamic stability of a straight pipe conveying pulsatile flow under thermal loads

  • Belhadi A., Boukhalfa A., Belalia S.A. Free vibration modeling of single-walled carbon nanotubes using the differential quadrature method. Mathematical modeling of engineering problems. 2017, Vol. 4 (1), pp. 33-37.
  • Reddy, C.D., Lu C., Rajendran S., Liew K.M. Free vibration analysis of fluid conveying single-walled carbon nanotubes. Applied Physics Letters. 2007, Vol. 90, pp. 133122.
  • Yoon, J., Ru C., Mioduchowski A. Vibration and instability of carbon nanotubes conveying fluid. Composites Science and Technology. 2005, Vol.65 - pp. 1326 - 1336.
  • Lolov D.S., Lilkova-Markova Sv. V. Dynamic stability of double-walled carbon nanotubes. Journal of the Serbian Society for Computational Mechanics. 2018, Vol.12(1), pp.1-8.
  • Yoon J., Ru C.Q., Mioduchowski A, Flow-induced flutter instability of cantilever CNTs. Int. J. Solids Struct. 2006, Vol.43, pp. 3337-3349.
  • Yoon J., Ru C.Q., Mioduchowski A, Vibration and instability of CNTs conveying fluid. Compos. Sci. Technol. 2005, Vol. 65, pp. 1326-1336.
  • Wang X.Y., Wang X., Sheng G.G. The coupling vibration of fluid-filled carbon nanotubes. J. Phys. D: Appl. Phys. 2007, Vol.40, pp.2563-2572.
  • Dong K., Wang X. Wave propagation in carbon nanotubes under shear deformation. Nanotechnology. 2006, Vol. 17, pp. 2773-2782.
  • Dong K., Wang X., Sheng G.G. Wave dispersion characteristics in fluid-filled carbon nanotubes embedded in an elastic medium. Model. Simul. Mater. Sci. Eng. 2007, Vol.15, pp. 427-439.
  • Jeong W., Soo Y., Jeong S.,Lee S., Yoo W. Stability Analysis of a pipe conveying periodically pulsating fluid using finite element method. JSME International Journal. 2006, Vol. 49, pp. 1116-1122.
  • Paidoussis M. Fluid-structure interactions: Slender Structures and Axial flow, Academic Press, London, 1998.
  • Paidoussis M., Issid N. Dynamic stability of pipes conveying fluid. Journal of Sound and Vibration. 1974, Vol. 33(3), pp. 267-284.
  • Deng Q., Yang Z. Wave propagation in submerged pipe conveying fluid. Acta Mechanica Solida Sinica. 2019, Vol.32(4), pp. 483-498.
  • Lolov D. S., Lilkova-Markova Sv. Dynamic stability of a fluid-immersed pipe conveying fluid and resting on a damped Winkler elastic foundation. Proceedings of XI International Conference Industrial Engineering and Environment Protection 2021 (IIZS 2021), October 7-8th, 2021, Zrenjanin, Serbia. pp.49-55.
  • Hellum A., Mukherjee R., Hull A. Flutter instability of a fluid-conveying fluid-immerced pipe affixed to a rigid body. Journal of Fluids and Structures. 2011, Vol.27, pp. 1086-1096.
  • Lin W., Qiao N. Vibration and stability of an axially moving beam immersed in fluid. International Journal of Solids and Structures. 2008, Vol. 45, pp. 1445-1457.
  • Huang Q., Lin T., Safarpour M. Flow-induced vibration attenuation of a viscoelastic pipe conveying fluid under sinusoidal flow, using a nonlinear absorber. Mechanics Based design of Structures and Machines. 2020, Vol. 50, pp. 1673-1703.
  • Liang F., Gao A., Yang X.D. Dynamical analysis of spinning functionally graded pipes conveying fluid with multiple spans. Applied Mathematical Modeling. 2020, Vol. 83, pp. 454-469.
  • Askarian A.R., Permoon M.R., Shakouri M. Vibration analysis of pipes conveying fluid resting on a fractional KelvinVoigt viscoelastic foundation with general boundary conditions. International Journal of Mechanical Sciences. 2020. Vol. 179, pp. 105702.
  • Cao J., Liu Y., Liu W. The effect of two cases of temperature distributions on vibration of fluid-conveying functionally graded thin-walled pipes. Journal of Strain Analysis. 2018, Vol. 53(5), pp. 324-331.
  • Ameen K.A., Al-Dulaimi M.J., Hatem A.A. Experimental study of vibration on pipe conveying fluid at different end conditions for different fluid temperatures. Engineering and Technology Journal. 2019, Vol. 37, pp. 512-515.
  • Li B., Wang Z., Jing L. Dynamic response of pipe conveying fluid with lateral moving supports. Shoc, and Vibration. 2018, Vol. 2018, pp. 1-17.
  • Al-Waily M., Al-Baghdadi M., Al-Khayat R. Flow Velocity and Crack Angle Effect on Vibration and Flow Characterization for Pipe Induced Vibration. International Journal of Mechanical & Mechatronics Engineering. 2017, Vol. 17(5), pp. 19-27.
  • Siba M., Wahmahmood W., Zakinuaw M., Rasani R., Nassir M. Flow-induced vibrations in pipes: challengess and solutions - a review. Journal of Engineering Science and Technology. 2016, Vol. 11(3), pp. 362-382.
  • Faal R., Derakhshan D. Flow-Induced Vibration of Pipeline on Elastic Support. Procedia Engineering. 2022, Vol. 14, pp. 2986-2993.
  • Shiwen L., Ronghui H., Zhao Y., Jiarui W., Shuang C., Jianyong L., Yi L. Numerical Simulation Research on Flow-Induced Vibration Characteristics of Fluid-Conveying Pipe Network. Nuclear Power Engineering. 2022, Vol. 43(1), pp. 187-191.
  • Jung D, Chung J. In-plane and out-of-plane motions of an extensible semi- circular pipe conveying fluid. Journal of Sound and Vibration, 2008, Vol.311(1), pp.408-420.
  • Liu G., Li S., Karney B.Y. Vibration analysis of curved pipes conveying fluid. Proceedings of the ASME 2014 Pressure Vessels & Piping Conference, Anaheim, California, USA. 2014, Vol.3.
  • Lolov D., Lilkova-Markova Sv. Free vibrations out-of-plane of curved planar pipe conveying fluid in two cases of supporting. Annual of UACEG, Mathematics. Mechanics. 2006, Vol. 72(2), pp.123-128.
  • Liang F., Yang X.-D., Bao R.-D., Zhang W. Frequency Analysis of Functionally Graded Curved Pipes Conveying Fluid. Advances in Materials Science and Engineering. 2016, Vol.2016, Article ID 7574216.
  • Zhao Q., Sun Z. Flow-induced vibration of curved pipe conveying fluid by a new transfer matrix method. Engineering applications of computational applied mechanics. 2018, Vol. 12(1), pp. 780-790.
  • Zhao Q., Sun Z. In-plane forced vibration of curved pipe conveying fluid by Green function method. Applied Mathematics and Mechanics (English Edition). 2017, Vol.38(10), pp. 1397-1414.
  • Wu J., Shih P. The dynamic analysis of a multispan fluid-conveying pipe subjected to external load. Journal of sound and vibration. 2001, Vol.239(2), pp. 201-215.
  • Chicone C. Ordinary Differential Equations with applications, Springer Science+ Business, 1999
  • Inspeger T., Horvath R. Pendulum with harmonic variation of the suspension point. Periodica Polytechnica. 2000, Vol. 44, pp. 39-46.
  • Akulenko L.D., Georgievskii D.V., Nesterov S.V. Spectrum of Transverse Vibrations of a Pipeline Element under Longitudinal Load. Doklady Physics. 2016, Vol. 61 (3), pp. 129-132.
  • Gay-Balmaz F., Georgievskii D., Putkaradze V. Stability of Helical Tubes Conveying Fluid. Journal of Fluids and Structtures. 2018. Vol 78 (2), pp. 146-174.
  • Il'ichev A.T. Dynamics and spectral stability of soliton-like structures in fluid-filled membrane tubes. Russian Math. Surveys. 2020. Vol 75 (5), pp. 843-882
Еще
Статья научная
SciUp 2024 © 2024 ©