DOI QR코드

DOI QR Code

Mechanism of ovalling vibrations of cylindrical shells in cross flow

  • 발행 : 2001.04.25

초록

The mechanism of wind-induced ovalling vibrations of cylindrical shells is numerically investigated by using a vortex method. The subject of this paper is limited to a two-dimensional structure in the subcritical regime. The aerodynamic stability of the ovalling vibrations in the second to fourth circumferential modes is discussed, based on the results of a forced-vibration test. In the analysis, two modal configurations are considered; one is symmetric and the other is anti-symmetric with respect to a diameter parallel to the flow direction. The unsteady pressures acting on a vibrating cylinder are simulated and the work done by them for one cycle of a harmonic motion is computed. The effects of a splitter plate on the flow around the cylinder as well as on the aerodynamic stability of the ovalling vibrations are also discussed. The consideration on the mechanism of ovalling vibrations is verified by the results of a free-vibration test.

키워드

참고문헌

  1. Achenbach, E. (1968), "Distribution of local pressure and skin friction around a circular cylinder in cross-flow up to $R_e=5{\times}10^6$ ", J. Fluid Mech., 34(4), 625-639. https://doi.org/10.1017/S0022112068002120
  2. Adachi, T., Matsuuchi, K., Matsuda, S. and Kawai, T. (1985), "On the force and vortex shedding on a circular cylinder from subcritical up to transcritical Reynolds numbers", Trans. Japan Soc. Mech. Engrs. B, 51(461), 295-299. https://doi.org/10.1299/kikaib.51.295
  3. Dickey, W.L. and Woodruff, G.B. (1956), "The vibrations of steel stacks", Trans. ASCE, 121, 1054-1071.
  4. Dockstader, E.A., Swinger, W.F. and Ireland, E. (1956), "Resonant vibration of steel stacks", Trans. ASCE, 121, 1088-1112.
  5. Fage, A. and Falkner, V.M. (1931), "The flow around a circular cylinder", Aero. Res. Counc., Lond., Rep. and Mem., No.1369.
  6. Flugge, W. (1957), Statik und Dynamik der Schalen, 2nd edn. Springer.
  7. Inamuro, T. and Adachi, T. (1986), "A numerical analysis of unsteady separated flow by vortex shedding model (2nd report, Flow around a circular cylinder)", Trans. Japan Soc. Mech. Engrs. B, 52(476), 1600-1607.
  8. Johns, D.J. and Allwood, R.J. (1968), "Wind induced ovalling oscillations of circular cylindrical shell structures such as chimneys", Proc. Symposium on Wind Effects on Buildings and Structures, Paper 28.
  9. Johns, D.J. and Sharma, C.B. (1974), "On the mechanism of wind-excited ovalling vibrations of thin circular cylindrical shells", Flow-Induced Structural Vibrations, Springer-Verlag, 650-662.
  10. Katsura, S. (1985), "Wind-excited ovalling vibration of a thin circular cylindrical shell", J. Sound Vib., 100(4), 527-550. https://doi.org/10.1016/S0022-460X(85)80005-5
  11. Kawai, H. (1990), "Discrete vortex simulation for flow around a circular cylinder with a splitter plate", J. Wind Eng. Ind. Aerodyn., 33, 153-160. https://doi.org/10.1016/0167-6105(90)90031-7
  12. Laneville, A. and Mazouzi, A. (1995), "Ovalling oscillations of cantilevered cylindrical shells in cross-flow: new experimental data", J. Fluids and Structures, 9, 729-745. https://doi.org/10.1006/jfls.1995.1041
  13. Laneville, A. and Mazouzi, A. (1996), "Wind-induced ovalling oscillations of cylindrical shells: critical onset velocity and mode prediction", J. Fluids and Structures, 10, 691-704. https://doi.org/10.1006/jfls.1996.0048
  14. Mazouzi, A., Laneville, A. and Vittecoq, P. (1991), "An analytical model of the ovalling oscillations of clampedfree and clamped-clamped cylindrical shells in cross-flow", J. Fluids and Structures, 5, 605-626. https://doi.org/10.1016/0889-9746(91)90324-I
  15. Nagano, S., Naito, M. and Takata, H. (1981), "A numerical analysis of two-dimensional flow past rectangular prisms by a discrete vortex model", Trans. Japan Soc. Mech. Engrs. B, 47(413), 32-43. https://doi.org/10.1299/kikaib.47.32
  16. Nishimura, H. and Taniike, Y. (1998), "The mechanism of the occurrence for the fluctuating force on a stationary two-dimensional circular cylinder", J. Wind Eng., JAWE, 74, 47-57.
  17. Paidoussis, M.P. and Helleur, C. (1979), "On ovalling oscillations of cylindrical shells in cross-flow", J. Sound and Vibration, 63(4), 527-542. https://doi.org/10.1016/0022-460X(79)90828-9
  18. Paidoussis, M.P., Price, S.J. and Suen, H.-C. (1982a), "Ovalling oscillations of cantilevered and clamped-clamped cylindrical shells in cross flow: an experimental study", J. Sound and Vibration, 83(4), 533-553. https://doi.org/10.1016/S0022-460X(82)80106-5
  19. Paidoussis, M.P., Price, S.J. and Suen, H.-C. (1982b), "An analytical model for ovalling oscillation of clampedclamped cylindrical shells in cross flow", J. Sound and Vibration, 83(4), 555-572. https://doi.org/10.1016/S0022-460X(82)80107-7
  20. Paidoussis, M.P., Price, S.J. and Ang, S.-Y. (1988), "Ovalling oscillations of cylindrical shells in cross-flow: a review and some new results", J. Fluids and Structures, 2, 95-112. https://doi.org/10.1016/S0889-9746(88)90144-2
  21. Paidoussis, M.P., Price, S.J. and, Ang, S.-Y. (1991), "An improved theory for flutter of cylindrical shells in crossflow", J. Sound and Vibration, 149(2), 197-218. https://doi.org/10.1016/0022-460X(91)90631-S
  22. Panesar, A. and Johns, D.J. (1985), "Ovalling oscillations of thin circular cylindrical shells in cross flow - an experimental study", J. Sound and Vibration, 103(2), 201-209. https://doi.org/10.1016/0022-460X(85)90233-0
  23. Relf, E.F. and Simmons, L.F.G. (1924), "The frequency of eddies generated by the motion of circular cylinders through a fluid", Aero. Res. Counc., Lond., Rep. and Mem., No.917.
  24. Roshko, A. (1961), "Experiments on the flow past a circular cylinder at very high Reynolds number", J. Fluid Mech., 10, 345-356. https://doi.org/10.1017/S0022112061000950
  25. Schewe, G. (1983), "On the force fluctuations acting on a circular cylinder in crossflow from subcritical up to transcritical Reynolds numbers", J. Fluid Mech., 133, 265-285. https://doi.org/10.1017/S0022112083001913
  26. Uematsu, Y., Uchiyama, K., Yamada, M. and Sanjyo, S. (1988), "Ovalling oscillations of thin circular cylindrical shells in a cross flow", J. Fluids and Structures, 2, 285-307. https://doi.org/10.1016/S0889-9746(88)80012-4
  27. Uematsu, Y., Tsujiguchi, N. and Yamada, M. (1999a), "Numerical investigation of the mechanism for windinduced ovalling vibrations of thin circular cylindrical structures using vortex method", J. Struct. Constr. Eng., Architectural Institute of Japan, 519, 29-34.
  28. Uematsu, Y., Tsujiguchi, N. and Yamada, M. (1999b), "Mechanism of ovalling vibrations of cylindrical shells in cross flow", Proc. 10th Int. Conf. Wind Eng., Copenhagen, Denmark, 21-24 June 1999, 2, 1353-1358.
  29. Wieselsberger, C. (1921), "Neuere Feststellungen über die Gesetze des Flüssigkeits und Luftwiderstands", Phys. Z., 22, 321-328.
  30. West, G.S. and Apelt, C.J. (1993), "Measurements of fluctuating pressures and forces on a circular cylinder in the Reynolds number range $10^4\;to\;2.5{\times}10^5$", J. Fluids and Structures, 7, 227-244. https://doi.org/10.1006/jfls.1993.1014
  31. Yamada, M., Uematsu, Y. and Koshihara, T. (1988), "Visualization of the flow around a two-dimensional circular cylinder by means of infrared thermography (Part 1 smooth cylinder)", J. Wind Eng., JAWE, 35, 35-44.

피인용 문헌

  1. Research on the wind-induced aero-elastic response of closed-type saddle-shaped tensioned membrane models vol.16, pp.8, 2015, https://doi.org/10.1631/jzus.A1400340
  2. Evaluation of base shield plates effectiveness in reducing the drag of a rough circular cylinder in a cross flow vol.11, pp.5, 2008, https://doi.org/10.12989/was.2008.11.5.377
  3. Pulsating fluid induced dynamic stability of embedded viscoelastic piezoelectric separators using different cylindrical shell theories vol.24, pp.4, 2001, https://doi.org/10.12989/scs.2017.24.4.499
  4. Dynamic stability of FG-CNT-reinforced viscoelastic micro cylindrical shells resting on nonhomogeneous orthotropic viscoelastic medium subjected to harmonic temperature distribution and 2D magnetic fi vol.25, pp.2, 2017, https://doi.org/10.12989/was.2017.25.2.131