斜拉索-MR阻尼器刚柔耦合动力学建模及仿真分析  

Dynamic modeling and simulation analysis of rigid flexible coupling of stay cable-MR damper

作　　者：周勇 刘小锋 陈跃华[1] 冯志敏[1] 张刚[1] 胡海刚[1] ZHOU Yong;LIU Xiaofeng;CHEN Yuehua;FENG Zhimin;ZHANG Gang;HU Haigang(Faculty of Maritime and Transportation,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学海运学院,浙江宁波315211

出　　处：《振动与冲击》2020年第24期264-270,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51675286)。

摘　　要：为提高斜拉索-MR阻尼器动力学模型和减振控制精度,基于拉索大变形和柔性体假设,建立斜拉索-MR阻尼器刚柔耦合动力学模型,运用差分法与矩形积分法,提出刚度矩阵自适应的Newmark-β改进算法。搭建定刚度斜拉索-MR阻尼器系统的SIMULINK仿真模型,运用S-function建立变刚度模块,组合形成柔性体斜拉索-MR阻尼器耦合结构SIMULINK仿真模型,对改进算法进行分析验证,讨论在不同风雨载荷下,刚柔耦合作用对不同柔性拉索动力学响应及MR阻尼器控制效果的影响程度。实例测试表明:在一定的响应时间和瞬时风雨载荷激励下,仿真值与数值解的最大均方误差小于0.318%;柔性拉索与定刚度拉索的振动位移曲线平均峰值偏差为38.6%,响应时间偏差为15.6%,经阻尼器控制后分别减少了2.42倍和1.64倍。In order to improve the dynamic model and vibration control accuracy of a cable MR damper,a rigid flexible coupling dynamic model was established based on the assumption of large cable deformation and flexible body.By utilizing the difference method and the rectangular integral method,we proposed a stiffness matrix resilient Newmark-β method.By establishing Simulink simulation platform,we analyzed and verified the effectiveness of the proposed method.Specifically,the impact on the dynamic response and the control effect of MR damper of rigid flexible coupling of different flexible cables under varying wind and rain loads were discussed.The results show that under certain response time and instantaneous wind-rain load excitation,the maximum mean square error between simulation value and numerical solution is less than 0.318%.The average peak deviation of vibration displacement curve between flexible cable and fixed stiffness cable is 38.6%,and the response time deviation is 15.6%,which is reduced by 2.42 times and 1.64 times respectively after damper control.

关 键 词：柔性体 斜拉索 MR阻尼器 刚柔耦合 力学建模 仿真分析 

分 类 号：TB535.1[理学—物理]