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该文研究得到了拉索-阻尼器-弹簧系统的复特征频率方程。在阻尼器和弹簧安装点距拉索锚固点长度与拉索长度之比远远小于1的假设条件下,得到了拉索-阻尼器-弹簧系统模态阻尼比的近似解析解,该近似解析解与数值计算得到的精确解对比吻合良好。当弹簧和阻尼器处于同一侧时将会减小拉索所能获得的最大模态阻尼值,而当阻尼器与弹簧在拉索两端时弹簧对阻尼的影响几乎可以忽略。当阻尼器仍处于拉索锚固点附近而弹簧位置向中间移动时由阻尼器引起的频率变化量仍是小量的条件下,得到了结合数值频率解的拉索-阻尼器-弹簧系统模态阻尼比近似解析式。此时拉索所能获得最大模态阻尼比、对应的最优阻尼系数、无量纲频率与弹簧位置、刚度之间存在明确的变化关系。该文研究成果对于拉索端部同时附加橡胶减振器和阻尼器、附加阻尼器的索网结构减振设计具有重要的参考价值。
In this paper, the complex eigenfrequency equation of the cable-damper-spring system is obtained. The approximate analytic solution of the modal damping ratio of the cable-damper-spring system is obtained on the assumption that the ratio of the distance between the damper and the spring mounting point to the distance between the anchor point and the cable length is less than 1, The solution is in good agreement with the exact solution of the numerical calculation. When the spring and the damper are on the same side, the maximum modal damping value that can be obtained by the cable is reduced, and the effect of the spring on the damping is almost negligible when the damper and the spring are at both ends of the cable. When the damper is still near the anchorage point of the cable and the position of the spring is shifted to the middle, the change of the frequency caused by the damper is still a small amount. The cable-damper-spring system modal with numerical frequency solution Damping ratio approximate analytic formula. At this moment, the maximum modal damping ratio, the corresponding optimal damping coefficient and the non-dimensional frequency of the cable can be obtained, and there is a definite change relationship between the spring position and the stiffness. The research results of this paper have important reference value for the cable ends with the addition of rubber shock absorbers and dampers and the additional dampers' cable network structure vibration reduction design.