辅助索接地的简化索网-阻尼器系统的阻尼和频率
发布时间：2019-05-13 13:02
【摘要】：索网-阻尼器-接地辅助索系统的振动特性研究对于拉索减振问题具有重要的工程应用价值.本文建立了由2根水平拉索和1根锚固于桥面的辅助索组成的简化索网系统,将辅助索简化为线性弹簧单元,基于弦理论,由拉索锚固端的位移边界条件和阻尼器、辅助索安装位置处位移及力的连续条件,推导得索网系统的复特征值方程,并由此求得阻尼和频率的数值解.以3、4阶振动模态为例,讨论了弹簧刚度、安装位置对最大模态阻尼比、阻尼器的最优阻尼系数和相应振动频率的影响.研究结果表明,索网系统的各阶模态存在奇数阶和偶数阶两种模态,两种振动模态具有不同的振动特性.随着辅助索与桥面连接段刚度的增加,最大模态阻尼比可能的取值上限将增加至单索-阻尼器系统的最大模态阻尼比值的2.0~2.4倍,但辅助索可选择的优化安装区间则变得更为狭窄和分散.
[Abstract]:The study on the vibration characteristics of cable-net-dampers-grounding auxiliary cable system is of great engineering application value for cable vibration reduction. In this paper, a simplified cable net system composed of two horizontal cables and one auxiliary cable anchored on the bridge deck is established. The auxiliary cable is simplified as a linear spring element. Based on the string theory, the displacement boundary conditions and dampers at the anchor end of the cable are established. Based on the continuous condition of displacement and force at the installation position of the auxiliary cable, the complex eigenvalue equation of the cable net system is derived, and the numerical solutions of damping and frequency are obtained. Taking the third and fourth order vibration modes as an example, the effects of spring stiffness and installation position on the maximum modal damping ratio, the optimal damping coefficient of the dampers and the corresponding vibration frequency are discussed. The results show that there are two modes of cable net system: odd order and even order, and the two vibration modes have different vibration characteristics. With the increase of the stiffness of the connecting section between the auxiliary cable and the bridge deck, the upper limit of the maximum modal damping ratio will increase to 2.0 鈮，
本文编号：2475910
[Abstract]:The study on the vibration characteristics of cable-net-dampers-grounding auxiliary cable system is of great engineering application value for cable vibration reduction. In this paper, a simplified cable net system composed of two horizontal cables and one auxiliary cable anchored on the bridge deck is established. The auxiliary cable is simplified as a linear spring element. Based on the string theory, the displacement boundary conditions and dampers at the anchor end of the cable are established. Based on the continuous condition of displacement and force at the installation position of the auxiliary cable, the complex eigenvalue equation of the cable net system is derived, and the numerical solutions of damping and frequency are obtained. Taking the third and fourth order vibration modes as an example, the effects of spring stiffness and installation position on the maximum modal damping ratio, the optimal damping coefficient of the dampers and the corresponding vibration frequency are discussed. The results show that there are two modes of cable net system: odd order and even order, and the two vibration modes have different vibration characteristics. With the increase of the stiffness of the connecting section between the auxiliary cable and the bridge deck, the upper limit of the maximum modal damping ratio will increase to 2.0 鈮，
本文编号：2475910
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