Experiments in Fluids

, Volume 38, Issue 6, pp 789–795 | Cite as

Galloping instabilities of two-dimensional triangular cross-section bodies

  • G. AlonsoEmail author
  • J. Meseguer
  • I. Pérez-Grande


Galloping is a type of aeroelastic instability characterized by large amplitude, low frequency, normal to wind oscillations. It normally appears in bodies with small stiffness and structural damping when they are placed in a flow and the incident velocity is high enough. In this paper a systematic approach for the analysis of galloping of triangular cross-section bodies is reported. Wind tunnel experiments have been conducted aiming at establishing the unstable characteristics of isosceles triangular cross-section bodies when subjected to a uniform flow with angles of attack ranging from 0 to 180°. The results have been summarized in a stability map, where galloping instability zones in the angle of attack—main vertex angle plane—are identified.


Wind Tunnel Aerodynamic Force Lift Coefficient Instability Region Wind Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The authors thank J. Fernández, V. Pinilla, J.M. Rey and G. Vidal for their helpful contribution in performing the experiments. The authors also thank the reviewers of this paper for their valuable comments.


  1. Alonso G, Meseguer J (2005) A parametric study of the galloping stability of triangular cross-section bodies. J Wind Eng Ind Aerodyn (submitted)Google Scholar
  2. Chabart O, Lilien JL (1998) Galloping of electrical lines in wind tunnel facilities. J Wind Eng Ind Aerodyn 74–76:967–976CrossRefGoogle Scholar
  3. Courchesne J, Laneville A (1982) An experimental evaluation of drag coefficient of rectangular cylinders exposed to grid turbulence. J Fluid Eng 104:523–528Google Scholar
  4. Hémon P, Santi F (2002) On the aeroelastic behaviour of rectangular cylinders in cross-flow. J Fluid Struct 16:855–889CrossRefGoogle Scholar
  5. Hémon P, Santi F, Schnoerringer B, Wojciechowski J (2001) Influence of free stream turbulence on the movement-induced vibrations of an elongated rectangular cylinder in cross flow. J Wind Eng Ind Aerodyn 89:1383–1395CrossRefGoogle Scholar
  6. Kawai H (1998) Effect of corner modifications on aeroelastic instabilities of tall buildings. J Wind Eng Ind Aerodyn 74–76:719–729CrossRefGoogle Scholar
  7. Kazakewich MI, Vasilenko AG (1996) Closed analytical solution for galloping aeroelastic self-oscillations. J Wind Eng Ind Aerodyn 65:353–360CrossRefGoogle Scholar
  8. Li QS, Fang JQ, Geary AP (1998) Evaluation of 2D coupled galloping oscillations of slender structures. Comput Struct 6:513–523CrossRefGoogle Scholar
  9. Luo SC, Chew YT, Lee TS, Yazdani MG (1998) Stability to translational galloping vibration of cylinders at different mean angles of attack. J Sound Vib 215:1183–1194CrossRefGoogle Scholar
  10. Luo SC, Chew YT, Ng YT (2003) Hysteresis phenomenon in the galloping oscillation of a square cylinder. J Fluid Struct 18:103–118CrossRefGoogle Scholar
  11. McComber P, Paradis A (1998) A cable galloping model for thin ice accretions. Atmos Res 46:13–25CrossRefGoogle Scholar
  12. Novak M (1969) Aeroelastic galloping of prismatic bodies. J Eng Mech Div Proc ASCE 9:115–142Google Scholar
  13. Novak M (1972) Galloping oscillations of prismatic structures. J Eng Mech Div Proc ASCE 98:27–46Google Scholar
  14. Parkinson G, Smith J (1964) The square cylinder as an aeroelastic non-linear oscillator. Q J Mech Appl Math 17:225–239Google Scholar
  15. Ruecheweyh H, Hortmanns M, Schnakenberg C (1996) Vortex-excited vibrations and galloping of slender elements. J Wind Eng Ind Aerodyn 65:347–352CrossRefGoogle Scholar
  16. Simiu E, Scanlan RH (1996) Wind effects on structures. Fundamentals and applications to design. Wiley, New YorkGoogle Scholar
  17. Suzuki M, Tanemoto K, Maeda T (2003) Aerodynamic characteristics of train/vehicles under cross winds. J Wind Eng Ind Aerodyn 91:209–218CrossRefGoogle Scholar
  18. Tamura T (1999) Reliability on CFD estimations for wind-structure interaction problems. J Wind Eng Ind Aerodyn 81:117–143CrossRefGoogle Scholar
  19. Tamura T, Itoh Y (1999) Unstable aerodynamic phenomena of a rectangular cylinder with critical section. J Wind Eng Ind Aerodyn 83:121–133CrossRefGoogle Scholar
  20. Torenbeek E (1976) Synthesis of subsonic airplane design. Delft University Press, DelftGoogle Scholar
  21. Van Oudheusden BW (1994) On the quasi-steady analysis of one-degree-of freedom galloping with combined translational and rotational effects. Nonlinear Dyn 8:435–451Google Scholar
  22. Van Oudheusden BW (1996) Aerodynamic stiffness effects in rotational galloping at high wind speeds. J Wind Eng Ind Aerodyn 64:31–46CrossRefGoogle Scholar
  23. Zdravkovich MM, Carelas E (1997) Aerodynamics of a covered pedestrian bridge of a trapezoidal section. J Wind Eng Ind Aerodyn 66:141–153CrossRefGoogle Scholar
  24. Ziller C, Ruscheweyh H (1997) A new approach for determining the onset velocity of galloping instability taking into account the nonlinearity of the aerodynamic damping characteristic. J Wind Eng Ind Aerodyn 69–71:303–314CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.IDR/UPM, E.T.S.I. AeronáuticosUniversidad Politécnica de MadridMadridSpain

Personalised recommendations