平面张弦结构粘弹性阻尼器振动控制研究

RESEARCH ON THE VIBRATION CONTROL OF PLANE STRING STRUCTURES USING VISCOELASTIC DAMPERS

  • 摘要: 该文针对采用粘弹性阻尼器替换平面张弦结构跨中撑杆的振动控制方法,开展理论分析和数值仿真研究,揭示其振动控制机理,阐明振动控制效果。推导了上弦节点静力位移公式并推广至动力分析,结合撑杆动力学方程,揭示了粘弹性阻尼器替换平面张弦结构跨中撑杆振动控制耗能机理以及阻尼器刚度系数K与阻尼系数C对结构耗能效果的影响规律,依据耗能最大原则提出了实现最佳减振效果的阻尼器参数取值依据和方法。基于该文提出的刚度系数与阻尼系数取值方法,针对跨度60 m、100 m的张弦梁结构开展了粘弹性阻尼器替换张弦梁结构跨中撑杆参数化数值仿真。由参数化仿真可知,结构峰值加速度、峰值位移和峰值索内应力最大减振效果分别可达42.58%、30.54%和39.05%。减振结构可以满足结构安全以及正常使用需求。证明了粘弹性阻尼器替换平面张弦结构跨中撑杆是有效的振动控制方法,验证了该文提出的振动控制机理的有效性和阻尼器参数取值方法的适用性。

     

    Abstract: Theoretical analysis and numerical simulation were carried out to reveal the vibration control mechanism and clarify the vibration control effect of using viscoelastic dampers to replace the mid-span struts of plane string structures. The static displacement formula was derived and extended to dynamic analyses. Based on the dynamic equation of the struts, the energy dissipation mechanism was revealed. The influence of the stiffness coefficient K and damping coefficient C on the energy dissipation effect was also revealed. According to the maximum energy dissipation principle, the basis and method of determining the damper parameters to achieve the best damping effect were proposed. Parametric numerical simulation of the vibration damping structure was carried out on a 60 m-span and a 100 m-span beam string structures (BSS), in which the maximum damping effect on the peak acceleration, displacement and cable internal stress were 42.58%, 30.54% and 39.05%, respectively. The damped structures met the safety and normal use requirements. The vibration control method that uses viscoelastic dampers to replace the mid-span struts of plane string structures was proven to be effective. It verifies the accuracy of the proposed vibration control mechanism and the applicability of the design method for the damper parameters.

     

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