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A study on buffeting response analysis: Rational functions vs Stack state-space method
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DOI：10.1016/j.jweia.2026.106334.png)
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Abstract
En 中文
Buffeting response theory and analysis has been the basis for the derivation of design wind loads on long-span bridges for over six decades. The wind pressure fluctuations about bridge sections, e.g., over a deck or tower, result in complex load patterns and these flexible elements start to respond and move. This movement is known to modify the loads – a phenomenon referred to as self-excited forcing. These self-excited forces need to be described theoretically to accurately predict the dynamic response of a bridge to turbulent wind. The practical application to bridge design consists primarily of two fundamental explanations: a) the quasi-static, and b) the unsteady aerodynamic theories. Based on the adopted theoretical model an appropriate response solving method is applied. Aerodynamic derivatives are commonly used for estimation of self-excited loads. A shortcoming in the application of derivatives is their mixed time and frequency dependence which poses problems to both wind stability and response analysis for multi degree-of-freedom (DOF) complex structures such as long-span bridges. Even though the structural modes of vibration are inherently uncoupled, aerodynamic coupling may be present between modes. An alternative to the mixed frequency-time domain formulation is the use of rational functions. These are frequency independent functions that are continuous in time offering attractive possibilities for improved response predictions. In this study, the response predictions based on the rational function approach are compared to those obtained via aerodynamic derivatives applying the proposed Stack State-Space response analysis method. It is observed that when the fit to the aerodynamic derivatives is close then the two methods yield similar results; however, differences in response are observed as the quality of fit worsens.
Keywords:
Buffeting response
Aerodynamic derivatives
Rational functions
Stack state-space method
Long-span bridges
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