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考虑索的抗弯刚度及垂度的影响 ,推导了索的空间自由振动微分方程 ,结合分离变量及中心差分法将偏微分方程在空间内离散 ,用状态空间法求解复模态特征方程 ,从而求出系统的最大模态阻尼比 ,并求出最优阻尼器系数。对不同索参数及不同阻尼器参数的典型斜拉索 ,计算了索的面内外模态阻尼特性。研究结果表明 :索的垂度对面内一阶模态阻尼比有较大的影响 ,对其它模态阻尼比则影响很小 ,也不影响最优阻尼器系数的大小 ;而抗弯刚度则对模态最大阻尼比及最优阻尼器系数均有影响。为斜拉桥拉索的阻尼器设计 ,提供了重要参考依据
Considering the influence of bending stiffness and sag of cable, the free-space differential equation of cable is deduced. Partial differential equations are discretized in space by separating variable and central difference method. The state-space method is used to solve complex mode characteristic equation Find the maximum modal damping ratio and find the optimal damping coefficient. For the typical stay cables with different cable parameters and different damper parameters, the modal damping characteristics of the cables in and out of the cable are calculated. The results show that the sag of the cable has a great influence on the first-order mode damping ratio of the in-plane mode, and has little effect on the damping ratio of other modalities, and does not affect the size of the optimal damping coefficient. The bending stiffness Modal maximum damping ratio and the optimal damping coefficient are affected. Cable stayed bridge cable damper design provides an important reference