双参数轨道非线性能量阱控制性能分析  

Analysis on Double-term Track Nonlinear Energy Sinks for Structural Control Performance

作　　者：王菁菁 李浩博 张超[3] WANG Jing-jing;LI Hao-bo;ZHANG Chao(School of Civil Engineering,Guangzhou University,Guangzhou 510006,China;School of Mechanics and Engeering Science,Shanghai University,Shanghai 200444,China;School of Civil Engineering,Hunan University of Technology,Zhuzhou 412007,China)

机构地区：[1]广州大学土木工程学院,广州510006 [2]上海大学力学与工程科学学院,上海200444 [3]湖南工业大学土木工程学院,株洲412007

出　　处：《科学技术与工程》2020年第33期13769-13776,共8页Science Technology and Engineering

基　　金：国家自然科学基金面上项目(52078151);湖南省自然科学基金青年科学基金(2018JJ3123)。

摘　　要：传统轨道非线性能量阱(nonlinear energy sink,NES)是一种频率鲁棒性较强而能量鲁棒性较差的非线性控制装置。在传统轨道非线性能量阱的基础上提出了同时具有线性和非线性特点的新型控制装置——双参数轨道非线性能量阱(double-term track nonlinear sink,DT轨道NES)。DT轨道NES可以在一定程度上解决线性控制方法频率鲁棒性较差和完全非线性的控制方法能量鲁棒性较差的问题。建立了n自由度主体结构顶层附加DT轨道NES的系统运动方程,并对三层钢框架模型分别使用不同阶组合多项式DT轨道NES系统的减振性能进行了分析,其中使用二阶和六阶组合多项式的DT轨道NES系统减振性能最优。同时,对比分析了DT轨道NES系统与调谐质量阻尼器(tuned mass damper,TMD)系统以及传统轨道NES系统分别在脉冲型荷载和地震作用下的控制性能。结果表明:DT轨道NES系统具有优越的控制性能,并同时展现出较高的频率鲁棒性和能量鲁棒性。The traditional track nonlinear energy sink(NESs)is a kind of nonlinear control device with strong frequency robustness and poor energy robustness.Based on traditional track nonlinear energy sinks,double-term track nonlinear energy sinks(DT track NESs)were proposed.DT track NESs combined linearity and nonlinearity into one device.They were able to solve the issue of weak frequency-robustness found in linear control devices and weak energy-robustness in essentially nonlinear control devices.The equations of motion were constructed for a general primary structure with the DT track NESs attached on the top story.The control parameters of DT track NESs with different polynomial terms were optimized on a three-story steel frame structural model.The results show that the DT track NES with two-and six-order polynomial terms outperforms the DT track NESs with other track shapes.Finally,The DT track NESs were compared with tuned mass dampers(TMDs)and track NESs under the impulsive excitations or the seismic excitations.The DT track NESs can effectively reduce structural response under seismic excitations and exhibit high robustness against the change of frequency and input energy.

关 键 词：非线性能量阱 脉冲型荷载 地震作用 能量鲁棒性 频率鲁棒性 

分 类 号：TU352.11[建筑科学—结构工程]