Improving existing “reaching law” for better discrete control of seismically-excited building structures

doi:10.1007/s11709-009-0022-5

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 LI^1,2(

), Zichen DENG^1,3

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 Author(s): 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:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-009-0022-5
https://academic.hep.com.cn/fsce/EN/Y2009/V3/I2/111

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)

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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