考虑结构与气动非线性效应的大跨度桥梁非线性颤振控制TMD优化设计

TUNED MASS DAMPER FOR NONLINEAR FLUTTER CONTROL: OPTIMAL DESIGN CONSIDERING STRUCTURAL AND AERODYNAMIC NONLINEAR EFFECTS

  • 摘要: 为了减小大跨度桥梁的非线性颤振振幅,建立了一种两自由度弯扭耦合非线性自激力模型,利用调谐质量阻尼器控制方法,推导了风-桥梁-TMD系统的运动方程,构建了基于GBO优化算法的新型TMD参数优化方法,以大跨度悬索桥节段模型为例,对比了该优化方法和传统TMD参数优化方法对大跨度桥梁非线性颤振的控制效果,研究了TMD各参数对非线性颤振控制效果的敏感性,分析了结构与气动非线性效应对于不同颤振控制目标下TMD优化设计的影响。研究结果表明:建立的两自由度弯扭耦合非线性自激力模型能准确预测主梁的非线性颤振振幅;考虑结构和气动非线性的新型TMD参数优化方法相较传统TMD参数优化方法对大跨度桥梁非线性颤振振幅的控制效果更好;采用该方法优化设计的TMD不仅能大幅降低不同风速下桥梁断面的非线性颤振振幅,而且可以有效降低不同颤振控制目标下设计的最小TMD质量。研究结论可为TMD在大跨度桥梁非线性颤振控制中的应用提供理论依据。

     

    Abstract: To reduce the nonlinear flutter amplitude of long-span bridges, a two-degree-of-freedom bending-torsion coupled nonlinear self-excited force model is established. According to the tuned mass damper control method, the motion equation of the wind-bridge-TMD system is derived, and a new TMD parameter optimization method based on the GBO optimization algorithm is constructed. Taking the long-span suspension bridge segment model as an example, the control effect on the nonlinear flutter of the long-span bridge of the optimization method and of the traditional TMD parameter optimization method is compared. The sensitivity of TMD parameters to the nonlinear flutter control effect is studied, and the influence of structural and aerodynamic nonlinear effects on the TMD optimization design under different flutter control objectives is analyzed. The research results show that the two-degree-of-freedom bending-torsion coupled nonlinear self-excited force model can accurately predict the nonlinear flutter amplitude of the main beam. The new TMD parameter optimization method considering structural and aerodynamic nonlinearity has better control effect on the nonlinear flutter amplitude of long-span bridges than that of the traditional TMD parameter optimization method. The TMD optimized by this method not only significantly reduces the nonlinear flutter amplitude of the bridge deck under different wind speeds, but also effectively reduce the minimum mass ratio of TMD under different flutter control target designs. The research conclusions provide a theoretical basis for the application of TMD in nonlinear flutter control of long-span bridges.

     

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