基于T-S型模糊逻辑的半主动摩擦阻尼器对非线性结构的振动控制
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摘要
采用T-S(Takagi-Sugeno)型模糊逻辑调节半主动摩擦阻尼器正压力的方法对非线性结构的振动控制问题进行了研究。首先,建立了采用连续Bouc-Wen滞回模型的非线性结构控制系统运动方程,运用时程分析法确定了小震下摩擦阻尼器的初始滑动力,然后在建立半主动控制策略的基础上,采用T-S型模糊逻辑调节作用在半主动摩擦阻尼器上的正压力,实现对非线性结构的振动控制。数值分析结果表明,该方法能有效地减小非线性结构在地震激励下的峰值响应。
The fuzzy logic control method based on Takagi-Sugeno model is proposed for controlling structural vibration by semi-active friction damper installed on a nonlinear building structure subjected to earthquakes. The equation of motion for nonlinear building structure with continuous Bouc-Wen hysteretic model is firstly introduced. Next, the initial sliding force with friction damper is determined by time history analysis under minor earthquakes. And then, the Takagi-Sugeno fuzzy logic model is employed to adjust the normal force acted on the friction damper according to the semi-active control strategy. Numerical simulation results demonstrate that the proposed method is very efficient in reducing the peak acceleration and inter-story drift of the nonlinear building structure under earthquake excitations.
The fuzzy logic control method based on Takagi-Sugeno model is proposed for controlling structural vibration by semi-active friction damper installed on a nonlinear building structure subjected to earthquakes. The equation of motion for nonlinear building structure with continuous Bouc-Wen hysteretic model is firstly introduced. Next, the initial sliding force with friction damper is determined by time history analysis under minor earthquakes. And then, the Takagi-Sugeno fuzzy logic model is employed to adjust the normal force acted on the friction damper according to the semi-active control strategy. Numerical simulation results demonstrate that the proposed method is very efficient in reducing the peak acceleration and inter-story drift of the nonlinear building structure under earthquake excitations.
引文
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[6]Chen C Q,Chen G D.Shake table tests of a quarter-scale three-story building model with piezoelectric friction dampers[J].Structural Control and Health Monitoring,2004,11(4):239~257.
[7]Li H N,Li J,Song G B.Improved bang-bang control for a new type of piezoelectric friction dampers[A].Proceedings of the SPIE Smart Structures and Materials2005Damping and Isolation[C].San Diego,CA,2005,5760:423~433.
[8]He W L,Agrawal A K,Yang J N.Novel semi-active friction controller for linear structures against earthquakes[J].Journal of Structural Engineering,2003,129(7):941~950.
[9]Inaudi J A.Modulated homogeneous friction:A semi-active damping strategy[J].Earthquake Engineering and Structural Dynamics,1997,26(3):361~376.
[10]Lu L Y.Semi-active modal control for seismic structures with variable friction dampers[J].Engineering Structures,2004,26(4):437~454.
[11]Lu L Y.Predictive control of seismic structures with semi-active friction dampers[J].Earthquake Engineering and Structural Dynamics,2004,33(5):647~668.
[12]孙增圻.智能控制理论与技术[M].北京:清华大学出版社,1997.Sun Zengqi.Theory and techniques of intelligent control[M].Beijing:Tsinghua University Press,1997.(in Chinese)
[13]Zhou L,Chang C C,Wang L X.Adaptive fuzzy control for nonlinear building-magnetorheological damper system[J].Journal of Structural Engineering,2003,129(7):905~913.
[2]Symans M D,Constantinou M C.Semi-active control systems for seismic protection of structures:A state-of-the-art review[J].Engineering Structures,1999,21(6):469~487.
[3]Li H N,Yin Y W,Wang S Y.Studies on seismic reduction of story-increased buildings with friction layer and energy-dissipated devices[J].Earthquake Engineering and Structural Dynamics,2003,32(14):2143~2160.
[4]Soong T T,Dargush G F.Passive energy dissipation systems in structural engineering[M].New York:Wiley,1997.
[5]Yang J N,Agrawal A K.Semi-active hybrid control systems for nonlinear buildings against near-field earthquakes[J].Engineering Structures,2002,24(3):271~280.
[6]Chen C Q,Chen G D.Shake table tests of a quarter-scale three-story building model with piezoelectric friction dampers[J].Structural Control and Health Monitoring,2004,11(4):239~257.
[7]Li H N,Li J,Song G B.Improved bang-bang control for a new type of piezoelectric friction dampers[A].Proceedings of the SPIE Smart Structures and Materials2005Damping and Isolation[C].San Diego,CA,2005,5760:423~433.
[8]He W L,Agrawal A K,Yang J N.Novel semi-active friction controller for linear structures against earthquakes[J].Journal of Structural Engineering,2003,129(7):941~950.
[9]Inaudi J A.Modulated homogeneous friction:A semi-active damping strategy[J].Earthquake Engineering and Structural Dynamics,1997,26(3):361~376.
[10]Lu L Y.Semi-active modal control for seismic structures with variable friction dampers[J].Engineering Structures,2004,26(4):437~454.
[11]Lu L Y.Predictive control of seismic structures with semi-active friction dampers[J].Earthquake Engineering and Structural Dynamics,2004,33(5):647~668.
[12]孙增圻.智能控制理论与技术[M].北京:清华大学出版社,1997.Sun Zengqi.Theory and techniques of intelligent control[M].Beijing:Tsinghua University Press,1997.(in Chinese)
[13]Zhou L,Chang C C,Wang L X.Adaptive fuzzy control for nonlinear building-magnetorheological damper system[J].Journal of Structural Engineering,2003,129(7):905~913.
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