Wind and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Galloping analysis of roof structures

  • Zhang, Xiangting (Department of Engineering Mechanics and Technology and Center for Civil Infrastructure Systems Research, Tongji University) ;
  • Zhang, Ray Ruichong (Division of Engineering, Colorado School of Mines)
  • Received : 2002.06.23
  • Accepted : 2003.01.24
  • Published : 2003.04.25
⟨ Previous Next ⟩

Abstract

This paper presents galloping analysis of multiple-degree-of-freedom (MDOF) structural roofs with multiple orientations. Instead of using drag and lift coefficients and/or their combined coefficient in traditional galloping analysis for slender structures, this study uses wind pressure coefficients for wind force representation on each and every different orientation roof, facilitating the galloping analysis of multiple-orientation roof structures. In the study, influences of nonlinear aerodynamic forces are considered. An energy-based equivalent technique, together with the modal analysis, is used to solve the nonlinear MDOF vibration equations. The critical wind speed for galloping of roof structures is derived, which is then applied to galloping analysis of roofs of a stadium and a high-rise building in China. With the aid of various experimental results obtained in pertinent research, this study also shows that consideration of nonlinear aerodynamic forces in galloping analysis generally increases the critical wind speed, thus enhancing aerodynamic stability of structures.

Keywords

Acknowledgement

Supported by : National Science Foundation of China

References

  1. Glauert, H. (1919), "Rotation of an airfoil about a fixed axis", Aeronautical Research Committee, R&M 595, Great Britain.
  2. Hartog, J.P.D. (1932), "Transmission line vibration due to sleet", Trans. AIEE, 56, 1074-1076.
  3. Hartog, J.P.D. (1956), Mechanical Vibrations, McGraw-Hill, New York, N.Y., 4th edition.
  4. Linder, H. (1992), "Simulation of the turbulence influence on galloping vibrations", J. Wind Eng. Ind. Aerod., 41-44, 2023-2034.
  5. Kolousek, V., M. Pirner, O. Fischer and J. Naprstek (1984), Wind Effects on Civil Engineering Structures, Elsevier.
  6. Kushioka, K., T. Ito, A. Honda and K. Hirao (1996), "Prediction by discrete vortex method of aerodynamic forces on smoke stacks of various cross sections", J. Wind Eng. Ind. Aerod., 65, 309-319. https://doi.org/10.1016/S0167-6105(97)00049-4
  7. Novak, M. (1969), "Aeroelastic galloping of prismatic bodies", ASCE Journal of Engineering Mechanics Division, 95, 115-142.
  8. Novak, M. (1972), "Galloping oscillations of prismatic structures", ASCE J. of Engineering Mechanics Division, 98, 27-46.
  9. Okajima, A. (1993), "Numerical study of aeroelastic instability of cylinders with a circular and rectangular crosssection", J. Wind Eng. Ind. Aerod., 46-47, 541-550. https://doi.org/10.1016/0167-6105(93)90321-E
  10. Simiu, E. and G. R. Cook (1992), "Empirical fluid_elastic models and chaotic galloping: A case study", J. of Sound & Vibration, 154, 45-66. https://doi.org/10.1016/0022-460X(92)90403-K
  11. Simiu, E. and Scanlan, R.H. (1995), Wind Effects on Structures-An Introduction to Wind Engineerings, 3th Ed., John Wiley & Sons, New York.
  12. Sohankar, A., C. Norberg and L. Davidson (1997), "Numerical simulation of unsteady low reynolds number flow around rectangular cylinders at incidence", J. Wind Eng. Ind. Aerod., 69-71, 189-201. https://doi.org/10.1016/S0167-6105(97)00154-2
  13. Wang, G. and X. Zhang (1998), "Galloping analysis of roof of Shanghai Stadium held 80,000 people", J. of Structural Engineers, 82-85 (in Chinese).
  14. Zhang, X.T. (1998), The Handbook of Wind-prevented Design and Analysis for Engineering, China Building Industry Press. (in Chinese).
  15. Zhang, X.T. Wang Z.P. and Huang B.C. (1994), Structural Dynamics, Tongji Univ. Press. (in Chinese).