拉索-阻尼器-弹簧系统的阻尼特性分析

发布时间：2018-11-07 18:46

【摘要】：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。
[Abstract]:In this paper, the complex characteristic frequency equation of cable-damper-spring system is obtained. Under the assumption that the ratio of anchor point length to cable length is far less than 1, the approximate analytical solution of modal damping ratio of cable damper spring system is obtained. The approximate analytical solution is in good agreement with the exact solution obtained by numerical calculation. When the spring and the damper are on the same side, the maximum modal damping value of the cable will be reduced, but the influence of the spring on the damping can be almost ignored when the damper and spring are at the two ends of the cable. When the damper is still near the anchor point of the cable and the spring position moves to the middle, the frequency change caused by the damper is still small. The approximate formula of modal damping ratio of cable damper spring system combined with numerical frequency solution is obtained. The maximum modal damping ratio, the corresponding optimal damping coefficient, the dimensionless frequency, the spring position and the stiffness of the cable can be obtained. The research results in this paper have important reference value for the design of cable mesh structure with rubber damper and dampers attached to the cable end.
【作者单位】：深圳大学土木工程学院;同济大学土木工程防灾国家重点实验室;
【基金】：国家自然科学基金项目(51108269) 土木工程防灾国家重点实验室开放课题基金项目(SLDRCE-08-MB-03)
【分类号】：TU399;TU311.3

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