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Frontiers of Structural and Civil Engineering

Front Arch Civil Eng Chin    2009, Vol. 3 Issue (2) : 111-116     https://doi.org/10.1007/s11709-009-0022-5
RESEARCH ARTICLE |
Improving existing “reaching law” for better discrete control of seismically-excited building structures
Zhijun LI1,2(), Zichen DENG1,3
1. Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710072, China; 2. Department of Civil Engineering, Xi’an Technological University, Xi’an 710032, China; 3. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China
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Abstract

In this paper, a novel “composite reaching law” was explained in details: 1) the equation of discrete motion for a control system; 2) the design of discrete-time variable structure control. In addition, the model of a three-storey shear-type building structure was used to verify the effectiveness of the discrete variable structure control method. The results of numerical example analysis of the model show that the control law can effectively reduce the peak value of seismic response of the building structure and the chattering effect of the control system.

Keywords discrete-time variable structure control      composite reaching law      chattering effect      saturated control law     
Corresponding Authors: LI Zhijun,Email:lzjsjh@yahoo.com.cn   
Issue Date: 05 June 2009
 Cite this article:   
Zhijun LI,Zichen DENG. Improving existing “reaching law” for better discrete control of seismically-excited building structures[J]. Front Arch Civil Eng Chin, 2009, 3(2): 111-116.
 URL:  
http://journal.hep.com.cn/fsce/EN/10.1007/s11709-009-0022-5
http://journal.hep.com.cn/fsce/EN/Y2009/V3/I2/111
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Fig.1  Schematic diagram of 3DOF model structure with control device
Fig.2  Comparison of control force time histories between using discrete-time composite reaching law and using discrete-time exponential reaching law. (a) Composite RL (=0.1); (b) exponential RL (=0.1); (c) Composite RL (=0.2); (d) exponential RL (=0.2); (e) Composite RL (=0.6); (f) exponential RL (=0.6)
storeyuncontrolledComposite RL
umax=12.749 kNumax=10 kNumax=5 kN
x/cmx ¨/(cm/s2)x/ cmx ¨/(cm/s2)x/cmx ¨/(cm/s2)x/cmx ¨/(cm/s2)
14.17922.90.45295.80.45326.70.83564.7
23.181354.70.22549.40.34589.90.96899.5
31.671767.80.67857.60.54759.80.26928.1
Tab.1  Maximum response quantities
Fig.3  Responses of the first storey unit. (a) Acceleration responses of the first storey unit; (b) interstorey drift responses of the first storey unit
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