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Wind and Structures Volume 16, Number 5, May 2013 , pages 457-476 DOI: https://doi.org/10.12989/was.2013.16.5.457 |
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Vortex excitation model. Part I. mathematical description and numerical implementation |
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T. Lipecki and A. Flaga
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| 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. | ||
| Key Words | ||
| across-wind load; vortex excitation; lateral vibrations; sectional model; circular cross-section | ||
| Address | ||
| T. Lipecki : Faculty of Civil Engineering and Architecture, Lublin University of Technology, Lublin, Poland; A. Flaga : Wind Engineering Laboratory, Cracow University of Technology, Cracow, Poland | ||