R-FBI基础隔震系统的混沌动力特性
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摘要
介绍了混沌振动,在分析含R-FBI隔震层的剪切型多自由度体系模型后,给出了整个隔震结构的动力反应方程。在动力反应方程基础之上,借助于Simulink软件对系统进行动态模拟仿真。计算和分析隔震系统的时间序列数据,得出系统的时程曲线图、相平面图、Poincare截面图和功率谱图,综合阐述了R-FBI基础隔震系统的混沌动力特性。
This paper first introduces the theory of chaotic vibration.After the analysis of the shearing-type Multi-Degree-of-Freedom(MDOF) model including the R-FBI isolation layer,the dynamic response equation of the entire isolation structure was established.Based on the equation,the system was simulated by using Simulink.Through calculating and analyzing the time-history data of the isolation system,time response curves,phase maps,poincare cross-section and power spectrum diagrams were obtained,which were used to describe the chaotic dynamic characteristics of the R-BFI system comprehensively.
This paper first introduces the theory of chaotic vibration.After the analysis of the shearing-type Multi-Degree-of-Freedom(MDOF) model including the R-FBI isolation layer,the dynamic response equation of the entire isolation structure was established.Based on the equation,the system was simulated by using Simulink.Through calculating and analyzing the time-history data of the isolation system,time response curves,phase maps,poincare cross-section and power spectrum diagrams were obtained,which were used to describe the chaotic dynamic characteristics of the R-BFI system comprehensively.
引文
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[9]何四祥,邹祖军.混沌运动在一类非线性结构振动中的数值模拟研究[J].结构工程师,2007,23(1):42-44.He Sixiang,Zou Zujun.Numerical simulation of chaos movement in a nonlinear structural vibration[J].Structural Engineers,2007,23(1):42-44.(in Chinese)
[10]李静.混沌动力学特性及其在信息安全中的应用[D].北京:华北电力大学,2009.Li Jing.Chaotic dynamics and its application in information security[D].Beijing:North China Electric Power University,2009.(in Chinese)
[2]龙运佳.混沌工程学[J].中国工程科学,2001,3(2):10-15.Long Yunjia.Chaos engineering[J].Engineering Science,2001,3(2):10-15.(in Chinese)
[3]尹逊和,任勇,山秀明,等.工程混沌及混沌应用的研究现状与展望[J].系统工程与电子技术,2001,23(12):72-76.Yin Xunhe,Ren Yong,Shan Xiuming,et al.Prospect and review on engineering chaos and application of chaos[J].Systems Engineering and Electronics,2001,23(12):72-76.(in Chinese)
[4]朱玉华,冯德民.组合隔震系统中滑动支座的滑移系数研究[J].结构工程师,2001,(2):34-40.Zhu Yuhua,Feng Demin.Study on sliding factor in combined isolation system under seismic excitation[J].Structural Engineers,2001,(2):34-40.(in Chinese)
[5]朱玉华,吕西林.滑移摩擦隔震系统在多向地面运动作用下的试验研究[J].地震工程与工程振动,2002,22(5):77-84.Zhu Yuhua,Lu Xilin.Shaking table tests of model building with sliding isolation system under multi-direction ground motions[J],Earthquake Engineering and Engineering Vibration,2002,22(5):77-84.(in Chinese)
[6]房营光.非线性滑动隔震结构地震响应特性及其突变性分析[J].土木工程学报,2004,37(9):2226.Fang Yingguang.Analysis of seismic response properties and catastrophe of nonlinear sliding isolation structures[J].China Civil Engineering Journal,2004,37(9):22-26.(in Chinese)
[7]鄢兴祥,朱玉华.云南省昆明博物馆新馆基础隔震系统结构非线性分析[J].结构工程师,2010,26(5):79-84.Yan Xinxiang,Zhu Yuhua.Nonlinear dynamic analysis of base-isolation for Kunming museum new house structure in Yunnan Province[J].Structural Engineers,2010,26(5):79-84.(in Chinese)
[8]李卫东,王秀岩.杜芬方程的仿真分析及混沌控制[J].大连交通大学学报,2009,30(5):67-69.Li Weidong,Wang Xiuyan.Simulation and chaotic control of Duffing-Equation[J].Journal of Dalian Jiaotong University,2009,30(5):67-69.(in Chinese)
[9]何四祥,邹祖军.混沌运动在一类非线性结构振动中的数值模拟研究[J].结构工程师,2007,23(1):42-44.He Sixiang,Zou Zujun.Numerical simulation of chaos movement in a nonlinear structural vibration[J].Structural Engineers,2007,23(1):42-44.(in Chinese)
[10]李静.混沌动力学特性及其在信息安全中的应用[D].北京:华北电力大学,2009.Li Jing.Chaotic dynamics and its application in information security[D].Beijing:North China Electric Power University,2009.(in Chinese)
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