A Numerical Technique for Determining Aerodynamic Derivatives of a Suspension Bridge Deck

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RESEARCH PAPER

A Numerical Technique for Determining Aerodynamic Derivatives of a Suspension Bridge Deck Golriz Zamiri1   · Saeed‑Reza Sabbagh‑Yazdi1 Received: 4 January 2020 / Accepted: 1 October 2020 © Shiraz University 2020

Abstract A novel two-dimensional numerical solution methodology based on variable wind angle of attack for numerical simulation of fluid-structure interaction associated with rotations of bridge deck section is proposed. In this methodology, the deck is considered fixed in the computational domain, while incremental inclination of flow approach and wind angle attack are applied to far-field boundaries of the initial mesh. The numerical simulation is carried out to calculate aerodynamic flutter derivatives of Great Belt East Bridge deck using commercial computational fluid dynamic code of ANSYS FLUENT combined with a developed MATLAB code for post-processing of the aerodynamic derivatives. The utilized finite volume flow solver is applied for two-dimensional flow simulation around structural sections. Aerodynamic flutter parameters of a thin flat plate and bridge deck are determined based on the proposed methodology. Comparison between the analysis results with simulated values and the measurements of wind tunnel tests or the Theodorsen’s solution shows that the accuracy of the present modeling strategy in prediction of the aerodynamic derivatives is promising. Keywords  Aerodynamic derivatives · Computational fluid dynamic · Long-span suspension bridge aerodynamic · Fluidstructure interaction · ANSYS FLUENT software

1 Introduction Long-span suspension bridges are considered flexible, slender, and light structural systems that are subjected to dynamic wind effects, which results in aeroelastic problems such as flutter, galloping and vortex shedding induced vibrations causing large amplitude oscillation of deck section and disastrous instabilities. Flutter is one of the most common instabilities observed in long suspension bridge structures. This aeroelastic phenomenon is described by wind-induced large amplitude oscillations of the bridge deck when wind speed exceeds a critical velocity. Flutter of bridge deck is commonly assumed as a one- or two-degree-of-freedom (1-DOF, or 2-DOF) flutter in bridge engineering: (a) 1-DOF torsional flutter by which the bridge deck reacts to the motion induced by aerodynamic forces in * Golriz Zamiri [email protected] 1



Department of Civil Engineering, KNToosi University of Technology, 1346, Valiasr St. (Mirdamad Cross), Tehran, Iran

a pure torsional manner, or (b) 2-DOF flutter by which the bridge deck reacts to the motion induced by the aerodynamic forces though a coupled bending and torsional behavior. To perform stability analysis for each flutter type, some predefined parameters known as aerodynamic derivatives, are required that can be obtained from wind tunnel modeling of bridge deck (Anina et al. 2015; Diana et al. 2013; Piña and Caracoglia 2009; Rizzo and Caracoglia 2018; Rizzo et al. 2018; Siedziako et al. 2017; Zhu et al. 2007). However, wind