采用比例-积分控制的实时子结构试验等效力控制方法
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摘要
等效力控制方法用反馈控制代替数学迭代过程求解实时子结构试验隐式逐步积分方法的非线性方程。对于非线性结构试验,采用比例-微分(PD)控制器的等效力控制方法会使等效力响应产生稳态误差。该文用比例-积分(PI)控制器代替PD控制器以解决此问题。分析与模拟的结果都表明,对于非线性体系的等效力控制方法试验,PI控制优于PD控制。
The equivalent force control method replaces the mathematical iteration with feedback control strategy to solve the nonlinear equations of motion in real-time substructure testing with implicit integration method. For nonlinear structural tests, the equivalent force control method with proportional-derivative (PD) controller will induce a steady-state error of the equivalent force response. This paper chooses the proportional-integral (PI) controller, instead of the PD controller previously used, to eliminate the error. The analytical and simulated results show that the equivalent force control method with PI controller is more effective for nonlinear structural tests compared to that with PD controller.
The equivalent force control method replaces the mathematical iteration with feedback control strategy to solve the nonlinear equations of motion in real-time substructure testing with implicit integration method. For nonlinear structural tests, the equivalent force control method with proportional-derivative (PD) controller will induce a steady-state error of the equivalent force response. This paper chooses the proportional-integral (PI) controller, instead of the PD controller previously used, to eliminate the error. The analytical and simulated results show that the equivalent force control method with PI controller is more effective for nonlinear structural tests compared to that with PD controller.
引文
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[2]邱法维,潘鹏.结构拟静力加载实验方法及控制[J].土木工程学报,2002,35(1):1―10.Qiu Fawei,Pan Peng.Quasi-static loading and control for structural test[J].China Civil Engineering Journal,2002,35(1):1―10.(in Chinese)
[3]吕西林,程海江,卢文胜,倪春.两层轻型木结构足尺房屋模型模拟地震振动台试验研究[J].土木工程学报,2007,40(10):41―49.Lu Xilin,Cheng Haijiang,Lu Wensheng,Ni Chun.Shake table tests of a two-storey light wood framed house[J].China Civil Engineering Journal,2007,40(10):41―49.(in Chinese)
[4]Lu Xilin,Zou Yun,Lu Wensheng,Zhao Bin.Shaking table model test on shanghai world financial center tower[J].Earthquake Engineering and Structural Dynamics,2007,36:439―457.
[5]Williams Martin S,Blakeborough Anthony.Laboratory testing of structures under dynamic loads:an introductory review[J].Philosophical Transactions of the Royal Society Lond.A,2001,359:1651―1669.
[6]茹继平,肖岩.美国地震工程模拟网系统NEES计划及在我国实现远程协同结构试验的设想[J].建筑结构学报,2002,23(6):91―94.Ru Jiping,Xiao Yan.The American plan of network for earthquake engineering simulation and the idea of realization of long-distance coordinative structural experiment in China[J].Journal of Building Structure,2002,23(6):91―94.(in Chinese)
[7]Nakashima Masayoshi,Kato Hiroto,Takaoka Eiji.Development of real-time pseudodynamic testing[J].Earthquake Engineering and Structural Dynamics,1992,21(1):79―92.
[8]吴斌,王倩颖.实时子结构实验的研究进展[J].实验力学,2007,22(5):1―9.Wu Bin,Wang Qianying.Development of real-time substructure testing[J].Journal of Experimental Mechanics,2007,22(5):1―9.(in Chinese)
[9]Wu Bin,Bao Haie,Ou Jinping,Tian Shizhu.Stability and accuracy analysis of central difference method for real-time substructure testing[J].Earthquake Engineering and Structural Dynamics,2005,34:705―718.
[10]Wu Bin,Xu Guoshan,Wang Qianying,Williams Martin S.Operator-splitting method for real-time substructure testing[J].Earthquake Engineering and Structural Dynamics,2006,35(3):293―314.
[11]保海娥,张自平,程绍革.振动台混合实验系统实验设备研究[J].工程抗震和加固改造,2006,28(6):61―65.Bao Haie,Zhang Ziping,Cheng Shaoge.Testing equipment research on hybrid shaking table test system[J].Earthquake Resistant Engineering and Retrofitting,2006,28(6):61―65.
[12]袁涌,朱宏平,熊世树.运用新型实时子结构实验验证橡胶隔震垫的隔震效果[J].防灾减灾工程学报,2007,27(增刊):378―382.Yuan Yong,Zhu Hongping,Xiong Shishu.Experimental validation on the isolation effects of rubber isolators through the developed real-time substructure hybrid test system[J].Journal of Disaster Prevension and Mitigation Engineering,2007,27(Suppl.):378―382.(in Chinese)
[13]Wu Bin,Wang Qianying,Shing P Benson,Ou Jinping.Equivalent force control method for generalized real-time substructure testing with implicit integration[J].Earthquake Engineering and Structural Dynamics,2007,36:1127―1149.
[14]李妍.防屈曲支撑的抗震性能及子结构试验方法[D].哈尔滨:哈尔滨工业大学,2007.Li Yan.Seismic performance of buckling-restrained braces and substructure testing methods[D].Harbin:Harbin Institute of Technology,2007.(in Chinese)
[15]胡寿松.自动控制原理[M].北京:科学出版社,2003.Hu Shousong.Principles of automatic control[M].Beijing:Science Press,2003.(in Chinese)
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