拉索-并联弹簧-阻尼器系统的自由振动分析  

FREE VIBRATION OF TAUT CABLE WITH DAMPER AND PARALLEL SPRING

作　　者：周海俊[1,2] 朱亚峰[1] 孙利民[2] 

机构地区：[1]深圳大学广东省滨海土木工程耐久性重点实验室,深圳518060 [2]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《力学学报》2013年第6期957-964,共8页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(51108269);土木工程防灾国家重点实验室开放课题基金(SLDRCE-08-MB-03)资助项目~~

摘　　要：分析了拉索--并联弹簧--阻尼器系统的自由振动特性,由系统的运动方程及边界条件得到其复特征值方程.进一步研究了系统的极限解,由此讨论了拉索--并联弹簧--阻尼器系统的模态变化分区现象.以拉索--并联弹簧--阻尼器系统的二阶模态解为例,给出了模态频率和阻尼比的变化分布区间及其对应振型的变化情况.讨论了系统分区中存在的模态交叉现象;同时也讨论了斜拉索垂度对于一阶振动模态变化规律的影响.研究表明拉索--并联弹簧--阻尼器系统的振动模态演化因并联弹簧--阻尼器的位置不同而存在的明确的分区现象;安装并联弹簧和阻尼器后拉索的模态阻尼比和模态频率均可明显提高.This paper studied free vibration of taut cable with damper and parallel spring. The complex frequency equation of taut cable with damper and parallel spring system was derived. The equation was further expanded to real and imaginary parts. The special limiting solutions were derived. The modal frequency and modal damping in each specific region were further discussed. The second mode vibration frequency, damping ratio and mode shape were given for each specific region. The modal crossing phenomena were addressed. The sag effect on 1st modal frequency and frequency was further addressed. It was found that modal frequency and modal damping were dependent on damper and parallel spring location. The cable vibration frequency and damping were greatly increased after damper and parallel spring installation.

关 键 词：拉索 阻尼器 弹簧 频率 模态阻尼比 

分 类 号：TU973.31[建筑科学—结构工程]