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Purpose <p>Despite studies on the vehicle-bridge interaction problem reported widely, the combined effects of the lateral wind load and the vehicle moving on the dynamics of the bridge remain inadequately understood, mainly due to the lack of an effective method that can capture both the spatially inhomogeneous wind and local effects of the moving vehicle. A generalized multi-symplectic approach is employed to investigate the lateral vibration of the vehicle-bridge system subjected to the wind load, in which, the lateral wind load (both concentrated and distributed) and weak damping effect are considered comprehensively.</p> Method <p>A generalized multi-symplectic scheme is developed based on the Preissmann discretization to handle the coupling dynamic model containing the Dirac function and the damping factor. Firstly, the vehicle-bridge coupling system is simplified into a simply supported beam model carrying a moving mass, in which, the moving mass is subjected to a concentrated lateral wind load while the beam is subjected to a uniformly distributed lateral wind load. Then, the generalized multi-symplectic formulation with dynamic symmetry-breaking factor is derived, which is discrete by using the Preissmann scheme subsequently. The outstanding merit of the developed generalized multi-symplectic method is the excellent structure-preserving performance, which is illustrated by the tiny generalized multi-symplectic structure residual reported in the numerical experiments.</p> Results and Conclusions <p>The effects of the wind speed and the vehicle speed on the dynamic response of the coupling system are revealed. The numerical results show that, the distributed wind load mainly dominates the global vibration characteristics of the system. Furthermore, the moving mass affects the local and global vibration characteristics of the system, including the local displacement distribution and the global vibration frequency of the beam. The relevant results provide reference for the lateral structural design of bridge.</p>

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Generalized Multi-symplectic Analysis for Lateral Vibration of Vehicle–Bridge System Subjected to Wind Excitation

  • 期刊论文

  • 发表日期：

    2025年8月8日

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  • Hao Zhu,
  • Zhengqi Han,
  • Weipeng Hu

摘要

Purpose

Despite studies on the vehicle-bridge interaction problem reported widely, the combined effects of the lateral wind load and the vehicle moving on the dynamics of the bridge remain inadequately understood, mainly due to the lack of an effective method that can capture both the spatially inhomogeneous wind and local effects of the moving vehicle. A generalized multi-symplectic approach is employed to investigate the lateral vibration of the vehicle-bridge system subjected to the wind load, in which, the lateral wind load (both concentrated and distributed) and weak damping effect are considered comprehensively.

Method

A generalized multi-symplectic scheme is developed based on the Preissmann discretization to handle the coupling dynamic model containing the Dirac function and the damping factor. Firstly, the vehicle-bridge coupling system is simplified into a simply supported beam model carrying a moving mass, in which, the moving mass is subjected to a concentrated lateral wind load while the beam is subjected to a uniformly distributed lateral wind load. Then, the generalized multi-symplectic formulation with dynamic symmetry-breaking factor is derived, which is discrete by using the Preissmann scheme subsequently. The outstanding merit of the developed generalized multi-symplectic method is the excellent structure-preserving performance, which is illustrated by the tiny generalized multi-symplectic structure residual reported in the numerical experiments.

Results and Conclusions

The effects of the wind speed and the vehicle speed on the dynamic response of the coupling system are revealed. The numerical results show that, the distributed wind load mainly dominates the global vibration characteristics of the system. Furthermore, the moving mass affects the local and global vibration characteristics of the system, including the local displacement distribution and the global vibration frequency of the beam. The relevant results provide reference for the lateral structural design of bridge.