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<p>In recent years, vortex-induced vibration (VIV) phenomena have been observed in various long-span bridges worldwide. The existing literature has presented several nonlinear mathematical models for VIV, predominantly founded on a single dynamic mode. However, long-span bridges inherently possess multiple modes, and with the expansion of bridge spans, the frequencies associated with these structural modes become closely spaced. The incongruity arises from the linear assumption inherent in dynamic mode decomposition and the nonlinear dynamics characterizing VIV, thereby impeding the extrapolation of single-mode VIV to scenarios involving multiple coupled modes. This research introduces a multimode VIV modeling approach to emulate the coupling effects among modes. The equations governing the multimode amplitudes evolution during VIV are derived through averaging methods. In particular, the multi-mode VIV model can be reduced to a conventional single-mode VIV model, facilitating the identification of aeroelastic parameters during VIV through wind tunnel testing. The investigation reveals that coupled multimode VIV consistently converges towards a stable equilibrium point corresponding to a single mode after modes undergo competition. Finally, this article concludes with a discussion on the influence of structural damping on coupled multimode VIV.</p>

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Mode competition of the vortex-induced vibration for the long-span bridges with the closely-spaced multi-modes

  • 期刊论文

  • 发表日期：

    2025年1月20日

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  • Wei Cui,
  • Liutian Zhang,
  • Lin Zhao

摘要

In recent years, vortex-induced vibration (VIV) phenomena have been observed in various long-span bridges worldwide. The existing literature has presented several nonlinear mathematical models for VIV, predominantly founded on a single dynamic mode. However, long-span bridges inherently possess multiple modes, and with the expansion of bridge spans, the frequencies associated with these structural modes become closely spaced. The incongruity arises from the linear assumption inherent in dynamic mode decomposition and the nonlinear dynamics characterizing VIV, thereby impeding the extrapolation of single-mode VIV to scenarios involving multiple coupled modes. This research introduces a multimode VIV modeling approach to emulate the coupling effects among modes. The equations governing the multimode amplitudes evolution during VIV are derived through averaging methods. In particular, the multi-mode VIV model can be reduced to a conventional single-mode VIV model, facilitating the identification of aeroelastic parameters during VIV through wind tunnel testing. The investigation reveals that coupled multimode VIV consistently converges towards a stable equilibrium point corresponding to a single mode after modes undergo competition. Finally, this article concludes with a discussion on the influence of structural damping on coupled multimode VIV.