PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Parametric vibrations of pipes induced by pulsating flows in hydraulic systems

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper discusses the model of transverse vibrations of a pipe induced by flow velocity pulsation. The motion is described by a system of two non-linear partial differential equations with periodically variable coefficients. The analysis uses the Galerkin method with orthogonal polynomials as the shape functions. The instability regions are determined by Floquet’s method. The influence of selected parameters on natural frequencies and on the character and level of vibrations is studied. The possibility of the excitation of periodic and quasi-periodic oscillations is demonstrated. The results of theoretical analysis are compared with the experimental data.
Rocznik
Strony
719--730
Opis fizyczny
Bibliogr. 19 poz., rys.
Twórcy
autor
  • Cracow University of Technology, Faculty of Mechanical Engineering, Kraków, Poland
  • Cracow University of Technology, Faculty of Mechanical Engineering, Kraków, Poland
Bibliografia
  • 1. Czerwiński A., Łuczko J., 2012, Vibrations of steel pipes and flexible hoses induced by periodically variable fluid flow, Mechanics and Control, 31, 2, 63-71
  • 2. Ginsberg J.H., 1973, The dynamic stability of a pipe conveying a pulsatile flow, International Journal of Engineering Science, 11, 1013-1024
  • 3. Gorman D.G., Reese J.M., Zhang Y.L., 2000, Vibration of a flexible pipe conveying viscous pulsating fluid flow, Journal of Sound and Vibration, 230, 2, 379-392
  • 4. Gregory R.W., Paidoussis M.P., 1966a, Unstable oscillation of tubular cantilevers conveying fluid: I. Theory, Proceedings of the Royal Society (London), A 293, 512-527
  • 5. Gregory R.W., Paidoussis M.P., 1966b, Unstable oscillation of tubular cantilevers conveying fluid: II. Experiments, Proceedings of the Royal Society (London), A 293, 528-542
  • 6. Holmes P.J., 1978, Pipes supported at both ends cannot flutter, Journal of Applied Mechanics, 45, 619-622
  • 7. Kadoli R., Ganesan N., 2004, Parametric resonance of a composite cylindrical shell containing pulsatile flow of hot fluid, Composite Structures, 65, 391-404
  • 8. Lee S. I., Chung J., 2002, New non-linear modelling for vibration analysis of a straight pipe conveying fluid, Journal of Sound and Vibration, 254, 2, 313-325
  • 9. Łuczko J., Czerwiński A., 2012, Influence of boundary conditions on the natural frequencies and the stability regions of the hydraulic pipes (in Polish), Czasopismo Techniczne, 22, 8-M, 71-90
  • 10. Mailybayev A.A., Seyranian A.P., 2001, Parametric resonance in systems with small dissipation, Journal of Applied Mathematics and Mechanics, 65, 5, 755-767
  • 11. Paidoussis M.P., 1998, Fluid-Structure Interactions: Slender Structures and Axial Flow, vol. 1, Academic Press, London
  • 12. Paidoussis M.P., 2003, Fluid-Structure Interactions: Slender Structures and Axial Flow, vol. 2, Elsevier Academic Press, London
  • 13. Paidoussis M.P., Issid N.T., 1974, Dynamic stability of pipes conveying fluid, Journal of Sound and Vibration, 33, 267-294
  • 14. Paidoussis M.P., Issid N.T., 1976, Experiments on parametric resonance of pipes containing pulsatile flow, Journal of Applied Mechanics, 43, 198-202
  • 15. Paidoussis M.P., Sundararajan C., 1975, Parametric and combination resonances of a pipe conveying pulsating fluid, Journal of Applied Mechanics, 42, 780-784
  • 16. Panda L.N., Kar R.C., 2008, Nonlinear dynamics of a pipe conveying pulsating fluid with combination, principal parametric and internal resonances, Journal of Sound and Vibration, 309, 375-406
  • 17. Semler C., Li G.X., Paidoussis M.P., 1994, The nonlinear equations of motion of pipes conveying fluid, Journal of Sound and Vibration, 169, 577-599
  • 18. Udar R.S., Datta P.K., 2007, Parametric combination resonance instability characteristics of laminated composite curved panels with circular cutout subjected to non-uniform loading with damping, International Journal of Mechanical Sciences, 49, 3, 317-334
  • 19. Wang L., 2009, A further study on the non-linear dynamics of simply supported pipes conveying pulsating fluid, International Journal of Non-Linear Mechanics, 44, 115-121
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e867703f-b6f3-4a9a-9810-e869bb3bcc58
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.