(1 天津大学航空航天研究院，天津 300072； 2 天津大学建筑工程学院，天津 300072)
［摘要］研究了磁流变(MR)阻尼器控制力幅值对结构半主动控制效果的影响。建立了多自由度结构MR阻尼器控制系统的运动方程，根据最优控制算法和半主动控制率提出了MR阻尼器控制力幅值的取值方法，最后仿真分析了不同的幅值取值方法对结构半主动控制效果的影响。研究表明，随MR阻尼器控制力幅值的增大，会出现控制效果趋于稳定的平台区段，在平台范围内降低MR阻尼器的控制力幅值，并不会明显降低结构的控制效果。降低后的控制力幅值可以减小MR阻尼器的设计尺寸，更便于阻尼器在工程上的应用。研究还表明，对于控制力幅值已定的MR阻尼器，适当减小权矩阵系数比，使控制效果曲线较晚进入平台区段，也可达到提高结构响应控制效果的目的。
［关键词］磁流变(MR)阻尼器；半主动控制；半主动控制率；控制力幅值；最优控制算法
Influence of control force amplitude of MR damper on semi-ctive control effects
Jiang Nan1, Li Zhongxian2(1 Institute of Aeronautics and Astronautics, Tianjin University, Tianjin 300072，China;2 School of Civil Engineering, Tianjin University, Tianjin 300072, China)
Abstract:The influence of control force amplitude of magnetorheological (MR) damper on semi-ctive control effects is discussed. The motion equations of the MR damper control system with multi-reedom degrees structure are established. The method of determining the amplitude of control force of MR damper is presented based on the optimal control algorithm and the sei-ctive control strategy. The effect of different methods of determining the amplitude of control force to semi-ctive control effects is analyzed in calculation examples. The results show that a steady flat section appears with the increasing of the amplitude of control force. In this section decreased amplitude of control force with less losing in control effects can reduce the designed dimension of MR damper for its convenient application in engineering. The plat section of control effects curve may appear later and control effects can be improved by minishing the ratio of weight matrix for those MR dampers with fixed amplitude of control force.
Keywords:magnetorheological (MR) damper; semi-ctive control; strategy; control force amplitude; optimal control algorithm
*国家杰出青年科学基金(50425824)，国家自然科学基金重大研究计划(90715032)。作者简介：姜南，讲师，Email: wwwjiangnan@yahoo.com.cn。
参考文献
［1］YANG G, SPENCER B F, CARLSON J D, et al. Large-scale MR fluid dampers: modeling, and dynamic performance considerations［J］. Engineering Structures, 2002,24(3): 309-323.
［2］YANG G Q, SPENCER B F, JUNG H J, et al. Dynamic modeling of large-scale magnetorheological damper systems for civil engineering applications［J］. Journal of Engineering Mechanics, 2004,130(9): 1107-1114.
［3］李忠献，姜南，徐龙河,等. 不同控制策略下安装磁流变阻尼器的模型结构振动台试验与分析［J］. 建筑结构学报，2004,25(6): 15-21.
［4］CHOI K M, CHO S W, JUNG H J, et al. Semi-active fuzzy control for seismic response reduction using magnetorheological dampers［J］. Earthquake Engineering & Structural Dynamics, 2004，33(6): 723-736.
［5］RENZI E, SERINO G. Testing and modelling a semi-actively controlled steel frame structure equipped with MR dampers［J］. Structural Control and Health Monitoring, 2004，11(3): 189-221.
［6］SADEK F, MOHRAZ B. Semiactive control algorithms for structures with variable dampers［J］. Journal of Engineering Mechanics, 1998,124(9): 981-990.
［7］IEMURA H, IGARASHI A, KALANTARI A. Experimental verification and numerical studies of an autonomous semi-active seismic control strategy［J］. Structural Control and Health Monitoring, 2006,13(1): 301-323.
［8］张春巍，欧进萍. 结构磁流变阻尼半主动控制的改进算法与仿真分析［J］.世界地震工程，2003,19(1):37-43.
［9］YING Z G, NI Y Q, KO J M. Semi-active optimal control of linearized systems with multi-degree of freedom and application［J］. Journal of Sound and Vibration, 2005,279(1-2): 373-388.
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