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TMD抑制桥梁振动仿真分析
引用本文:许磊平,;刘伟庆,;徐秀丽,;王曙光,;李勇智.TMD抑制桥梁振动仿真分析[J].地震学刊,2009(3):272-276.
作者姓名:许磊平  ;刘伟庆  ;徐秀丽  ;王曙光  ;李勇智
作者单位:[1]南京工业大学土木工程学院,南京210009; [2]江苏省建设工程质量监督总站,南京210013
基金项目:基金项目:国家自然科学基金项目(50378044)资助
摘    要:分别建立简支梁和调谐质量阻尼器(TMD)的运动方程,并采用振型叠加法建立与其对应的广义坐标方程,同时结合现代控制理论,采用状态空间法建立与其对应的状态方程,运用SIMULINK仿真系统对简支梁桥进行了动力仿真分析。首先对未布置TMD的系统进行了仿真分析,并与Newmark—β法编程计算的结果对比,两种方法的计算结果十分接近,说明了SIMULINK方法的准确性;在此基础上,对布置TMD的桥梁进行了分析,通过分析TMD参数对减振效果的影响,进行了动力学解释,所得出的优化参数,可供工程控制参考。

关 键 词:振型叠加  SIMULINK仿真系统  状态空间法  调谐质量阻尼器(TMD)  参数优化

Simulation Analysis of Bridge Vibration Controlled with TMD
Institution:XU Lei-ping, LIU Wei-qing, XU Xiu-li, WANG Shu-guang, LI Yong-zhi (1. College of Civil Engineering, Nanjing University of Technology, Nanjing 210009, China; 2. Construction Project Quality Supervision Institute of Jiangsu Province, Nanjing 210013, China)
Abstract:Motion equations were formulated respectively for a simply-supported beam and TMD, and they have been transformed into modal equations in terms of the generalized coordinates with the mode superposition method. Moreover, the state equation of the beam has been derived on the basis of modern control theory and state-space method, and its dynamic simulation has been implemented with the SIMULINK system. First, a simulation was carried out with the SIMULINK for the beam without TMD, its result was compared with the equivalent one obtained with the Newmark-β method, and their closeness had shown the correctness of the dynamic simulation with the SIMULINK method. Upon the validation of the SIMULINK method, the beam with TMD was simulated with the SIMULINK method to show how the parameters of TMD affect the beam vibration in terms of structural dynamics so that the parameters' ratios can be optimized in this paper and can be referred to in future practice.
Keywords:mode superposition method  SIMULINK system  state-space method  TMD  parameter optimization
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