Browse > Article
http://dx.doi.org/10.12989/was.2013.16.5.457

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)
Publication Information
Wind and Structures / v.16, no.5, 2013 , pp. 457-476 More about this Journal
Abstract
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.
Keywords
across-wind load; vortex excitation; lateral vibrations; sectional model; circular cross-section;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 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.
2 Iannuzzi, A. and Spinelli, P. (1987), "Artificial wind generation and structural response", J. Struct. Eng., 113(12), 2382-2398.   DOI   ScienceOn
3 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.
4 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.
5 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.   DOI   ScienceOn
6 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.
7 Ruscheweyh, H. (1992), Windlastannahmen fur turmartige Bauwerke, DIN-Mitt, 71(11), 644-647, Berlin.
8 Sachs, P. (1978), Wind forces in engineering, Pergamon, Oxford.
9 Shinozuka, M. and Jan, C.M. (1972), "Digital simulation of random processes and its application", J. Sound Vib., 25(1), 111-128.   DOI   ScienceOn
10 Shinozuka, M. (1987), Stochastic Mechanics, Columbia University, NY, USA.
11 Stansby, P.K. (1976), "Base pressure of oscillating circular cylinders", Proc. ASCE, J. Eng. Mech. Div., 104 (EM 4), 591-600.
12 Tranvik, P. and Alpsten G. (2005), "Structural behaviour under wind loading of a 90 m steel chimney", Wind Struct., 8(1), 61-78.   DOI   ScienceOn
13 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.   DOI   ScienceOn
14 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.
15 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.   DOI   ScienceOn
16 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.
17 Vickery, B.J. and Clark W. (1972), "Lift or across-wind response of tapered stacks", J. Struct. Eng. Div.- ASCE , 98, 1-20.
18 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.   DOI   ScienceOn
19 Borri, C., (1988), Generation procedures of stationary random processes simulating wind time series, Sezione Strutture 11, Univ. di Firenze.
20 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.
21 DIN 1055 (1989), Lastannahmen fur Bauten, Windwirkungen auf Bauwerke.
22 ESDU 80025 (1986), Mean forces, pressures and flow field velocities for circular cylindrical structures: single cylinder with two-dimensional flow, London, ESDU Int. Ltd.
23 ESDU 82026 (1982), Strong winds in the atmospheric boundary layer, Part 1: mean - hourly wind speed, London, ESDU Int. Ltd.
24 ESDU 85038 (1990), Circular-cylindrical structures: dynamic response to vortex shedding, Part I: calculation procedures and derivation, London, ESDU Int. Ltd.
25 Eurocode 1 (2009), Action on structures - part 1-4: General action - Wind action.
26 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.   DOI   ScienceOn
27 Flaga, A. and Lipecki, T. (2010), "Code approaches to vortex shedding and own model", Eng. Struct., 32, 1530-1536.   DOI   ScienceOn
28 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.
29 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.
30 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.   DOI   ScienceOn
31 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.
32 Griffin, O.M. and Ramberg, S.E. (1974), "The vortex-street wakes of vibrating cylinders", J. Fluid Mech., 66(3), 553-576.   DOI
33 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.   DOI   ScienceOn