DOI QR코드

DOI QR Code

Vortex excitation model. Part I. mathematical description and numerical implementation

  • Lipecki, T. (Faculty of Civil Engineering and Architecture, Lublin University of Technology) ;
  • Flaga, A. (Wind Engineering Laboratory, Cracow University of Technology)
  • 투고 : 2012.03.27
  • 심사 : 2012.06.20
  • 발행 : 2013.05.01

초록

This paper presents theoretical background for a semi-empirical, mathematical model of critical vortex excitation of slender structures of compact cross-sections. The model can be applied to slender tower-like structures (chimneys, towers), and to slender elements of structures (masts, pylons, cables). Many empirical formulas describing across-wind load at vortex excitation depending on several flow parameters, Reynolds number range, structure geometry and lock-in phenomenon can be found in literature. The aim of this paper is to demonstrate mathematical background of the vortex excitation model for a theoretical case of the structure section. Extrapolation of the mathematical model for the application to real structures is also presented. Considerations are devoted to various cases of wind flow (steady and unsteady), ranges of Reynolds number and lateral vibrations of structures or their absence. Numerical implementation of the model with application to real structures is also proposed.

키워드

참고문헌

  1. Arunachalam, S. (2011), "Studies on across-wind load and response of a circular chimney including lock-in effects. Part 1 and part 2", Proceedings of the 13th International Conference on Wind Engineering, Amsterdam, Holland.
  2. Basu, R.I. and Vickery, B.J. (1983), "Simplified approaches to the evaluation of the across-wind response of chimneys", J. Wind Eng. Ind. Aerod., 14, 153-166. https://doi.org/10.1016/0167-6105(83)90019-3
  3. Belver, A.V., Iban, A.L. and Martin, C.E.L. (2012), "Coupling between structural and fluid dynamic problems applied to vortex shedding in a 90 m steel chimney", J. Wind Eng. Ind. Aerod., 100, 30-37. https://doi.org/10.1016/j.jweia.2011.10.007
  4. Borri, C., (1988), Generation procedures of stationary random processes simulating wind time series, Sezione Strutture 11, Univ. di Firenze.
  5. Borri, C., Crocchini, F., Facchini, L. and Spinelli, P. (1995), "Numerical simulation of stationary and non-stationary stochastic processes: a comparative analysis for turbulent wind fields", Proceedings of the 9th International Conference on Wind Engineering, New Delhi, India.
  6. Clobes, M., Willecke, A. and Peil, U. (2011), "Vortex excitation of steel chimneys: Two ultimate limit states", Proceedings of the 13th International Conference on Wind Engineering, Amsterdam, Holland.
  7. DIN 1055 (1989), Lastannahmen fur Bauten, Windwirkungen auf Bauwerke.
  8. ESDU 80025 (1986), Mean forces, pressures and flow field velocities for circular cylindrical structures: single cylinder with two-dimensional flow, London, ESDU Int. Ltd.
  9. ESDU 82026 (1982), Strong winds in the atmospheric boundary layer, Part 1: mean - hourly wind speed, London, ESDU Int. Ltd.
  10. ESDU 85038 (1990), Circular-cylindrical structures: dynamic response to vortex shedding, Part I: calculation procedures and derivation, London, ESDU Int. Ltd.
  11. Eurocode 1 (2009), Action on structures - part 1-4: General action - Wind action.
  12. Flaga, A. and Lipecki, T. (2010), "Code approaches to vortex shedding and own model", Eng. Struct., 32, 1530-1536. https://doi.org/10.1016/j.engstruct.2010.02.001
  13. Flaga, A. (1996), Wind vortex-induced excitation and vibration of slender structures, Single structure of circular cross-section normal to flow, Monograph 202, Cracow, Poland.
  14. Flaga, A. (1997), "Nonlinear amplitude dependent self-limiting model of lock-in phenomenon at vortex excitation", J. Wind Eng. Ind. Aerod., 69-71, 331-340. https://doi.org/10.1016/S0167-6105(97)00166-9
  15. Flaga, A. and Lipecki, T. (2005), "Simulation of across-wind action caused by vortex excitation", Proceedings of the 4th European-African Conference on Wind Engineering, pp. 112-113, Prague, Czech Republic.
  16. Griffin, O.M. and Ramberg, S.E. (1974), "The vortex-street wakes of vibrating cylinders", J. Fluid Mech., 66(3), 553-576. https://doi.org/10.1017/S002211207400036X
  17. Homma, S., Maeda, J. and Hanada, N. (2009), "The damping efficiency of vortex-induced vibration by tuned-mass damper of a tower-supported steel stack", Wind Struct., 12(4), 333-348. https://doi.org/10.12989/was.2009.12.4.333
  18. Howell, J.F. and Novak, M. (1980), "Vortex shedding from circular cylinders in turbulent flow", Proceedings of the 5th International Conference on Wind Engineering, USA 1979, Pergamon, Oxford.
  19. Iannuzzi, A. and Spinelli, P. (1987), "Artificial wind generation and structural response", J. Struct. Eng., 113(12), 2382-2398. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:12(2382)
  20. Kwok, K.C.S. and Melbourne, W.H. (1980), "Cross-wind response of structures due to displacement dependent lock-in excitation", Proceedings of the 5th International Conference on Wind Engineering, Colorado, USA, 1979, Pergamon, Oxford, 1980, 699-708.
  21. Novak, M. and Tanaka, H. (1977), "Pressure correlations on a vibrating cylinder", Proceedings of the 4th International Conference on Wind Effects on Building and Structures, Heathrow 1975, Cambridge University Press, London.
  22. Repetto, M.P. (2011), "Neutral and non-neutral atmosphere: Probabilistic characterization and wind-induced response of structures", J. Wind Eng. Ind. Aerod., 99, 969-978. https://doi.org/10.1016/j.jweia.2011.06.010
  23. Ruscheweyh, H. (1989), "Codification of vortex excited vibrations. Recent advances in wind engineering", Proceedings of the 2nd Asia-Pacific Symposium on Wind Engineering, Beijing, China.
  24. Ruscheweyh, H. (1992), Windlastannahmen fur turmartige Bauwerke, DIN-Mitt, 71(11), 644-647, Berlin.
  25. Sachs, P. (1978), Wind forces in engineering, Pergamon, Oxford.
  26. Shinozuka, M. and Jan, C.M. (1972), "Digital simulation of random processes and its application", J. Sound Vib., 25(1), 111-128. https://doi.org/10.1016/0022-460X(72)90600-1
  27. Shinozuka, M. (1987), Stochastic Mechanics, Columbia University, NY, USA.
  28. Stansby, P.K. (1976), "Base pressure of oscillating circular cylinders", Proc. ASCE, J. Eng. Mech. Div., 104 (EM 4), 591-600.
  29. Tranvik, P. and Alpsten G. (2005), "Structural behaviour under wind loading of a 90 m steel chimney", Wind Struct., 8(1), 61-78. https://doi.org/10.12989/was.2005.8.1.061
  30. Verboom, G.K. and van Koten H. (2010), "Vortex excitation: Three design rules tested on 13 industrial chimneys", J. Wind Eng. Ind. Aerod., 98, 145-154. https://doi.org/10.1016/j.jweia.2009.10.008
  31. Vickery, B.J. (1995), The response of chimneys and tower like structures to wind loading" in "A state of the art in wind engineering, Wiley Eastern Limited.
  32. Vickery, B.J. and Basu, R.I. (1983), "Across-wind vibrations of structure of circular cross-section", Part 1, J. Wind Eng. Ind. Aerod., 12 (1), 49-74, Part II, J.Wind Eng. Ind. Aerod., 12 (1), 75-98. https://doi.org/10.1016/0167-6105(83)90080-6
  33. Vickery, B.J. and Clark W. (1972), "Lift or across-wind response of tapered stacks", J. Struct. Eng. Div.- ASCE , 98, 1-20.

피인용 문헌

  1. Investigation of dynamic characteristics of tall industrial chimney based on GPS measurements using Random Decrement Method vol.83, 2015, https://doi.org/10.1016/j.engstruct.2014.11.006
  2. Dynamic characteristic of tall industrial chimney estimated from GPS measurement and frequency domain decomposition vol.148, 2017, https://doi.org/10.1016/j.engstruct.2017.06.066
  3. Numerical framework for stress cycle assessment of cables under vortex shedding excitations vol.28, pp.4, 2013, https://doi.org/10.12989/was.2019.28.4.225
  4. Wind action on steel chimneys according to standards vol.13, pp.2, 2013, https://doi.org/10.35784/bud-arch.1902