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An Analytical Solution for Unsteady Aerodynamic Forces on Streamlined Box Girders with Coupled Vibration

Author

Listed:
  • Lianhuo Wu

    (Department of Bridge Engineering, Southwest Jiaotong University, Chengdu 610031, China)

  • Mingjin Zhang

    (Department of Bridge Engineering, Southwest Jiaotong University, Chengdu 610031, China)

  • Fanying Jiang

    (Department of Bridge Engineering, Southwest Jiaotong University, Chengdu 610031, China)

  • Zelin Zhou

    (China 19th Metallurgical Corporation, Chengdu 610031, China)

  • Yongle Li

    (Department of Bridge Engineering, Southwest Jiaotong University, Chengdu 610031, China)

Abstract

This paper is a contribution to analyzing the aerodynamic forces on a streamlined box girder (SBG) with coupled vibration in a potential flow. The key enabling step was to assume that the normal velocity of the airflow at an arbitrary point on the surface of the SBG was equal to the normal velocity of the surface motion. The aerodynamic drag force, lift force, and pitching moment were expressed as functions of the motion state of the SBG and the SBG’s shape-related parameters. To investigate the applicability of this force model, the analytical solution at various angles of attack was compared with a numerical simulation in a viscous flow. The results imply that the amplitude of the analytical lift force and pitching moment agree well with the numerical results under the angles of attack of 0° and ±3°. Furthermore, the analytical drag force effectively predicts the second-order phenomenon resulting from the multiplication of the vertical and torsional vibration velocities. As a consequence, the present analytical solution provides an effective method for analyzing the aerodynamic forces acting on SBGs with coupled vibration.

Suggested Citation

  • Lianhuo Wu & Mingjin Zhang & Fanying Jiang & Zelin Zhou & Yongle Li, 2023. "An Analytical Solution for Unsteady Aerodynamic Forces on Streamlined Box Girders with Coupled Vibration," Sustainability, MDPI, vol. 15(9), pages 1-14, April.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:9:p:7312-:d:1134748
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    References listed on IDEAS

    as
    1. Chuanjie Cui & Rujin Ma & Xiaohong Hu & Wuchao He, 2019. "Vibration Analysis for Pendent Pedestrian Path of a Long-Span Extradosed Bridge," Sustainability, MDPI, vol. 11(17), pages 1-15, August.
    2. Lianhuo Wu & Zelin Zhou & Jinxiang Zhang & Mingjin Zhang, 2023. "A Numerical Method for Conformal Mapping of Closed Box Girder Bridges and Its Application," Sustainability, MDPI, vol. 15(7), pages 1-13, April.
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