防屈曲支撑的实时能量守恒子结构试验
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摘要
为了提高子结构试验技术对非线性结构的稳定性,把无条件稳定的能量守恒逐步积分方法实施于子结构试验中,提出基于该逐步积分方法的子结构试验方法(以下简称能量守恒子结构试验方法)。采用等效力控制方法求解隐式差分方程。为解决实时能量守恒子结构试验时滞问题,利用三阶外插补偿原理给出时滞补偿时的等效力命令计算公式。实现了非线性防屈曲支撑试件的实时能量守恒子结构试验,试验结果证明了提出的试验方法对非线性结构具有可行性,等效力控制方法解决非线性隐式方程迭代问题是有效的,同时说明应用三阶外插补偿原理进行等效力命令时滞补偿具有很好的补偿效果。
In order to expand the stability of substructure testing to nonlinear structures,the unconditional stable energy-conserving time integration algorithm is implemented in the substructure test and a substructure testing method based on the algorithm,called energy-conserving substructure testing method,is developed.The equivalent force control method is used to solve implicit difference equations.The computation of equivalent force command with delay compensation is presented using the 3rd-order polynomial compensation for real-time energy-conserving substructure tests.Real-time energy-conserving substructure tests were conducted with nonlinear buckling-restrained brace specimen.The results show that the energy-conserving substructure testing method is successful for nonlinear structures.The tests validate equivalent force control method for nonlinear implicit difference equation.The real-time substructure tests show that the 3rd-order polynomial compensation can effectively compensate the actuator delay.
In order to expand the stability of substructure testing to nonlinear structures,the unconditional stable energy-conserving time integration algorithm is implemented in the substructure test and a substructure testing method based on the algorithm,called energy-conserving substructure testing method,is developed.The equivalent force control method is used to solve implicit difference equations.The computation of equivalent force command with delay compensation is presented using the 3rd-order polynomial compensation for real-time energy-conserving substructure tests.Real-time energy-conserving substructure tests were conducted with nonlinear buckling-restrained brace specimen.The results show that the energy-conserving substructure testing method is successful for nonlinear structures.The tests validate equivalent force control method for nonlinear implicit difference equation.The real-time substructure tests show that the 3rd-order polynomial compensation can effectively compensate the actuator delay.
引文
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[2]肖岩,胡庆,郭玉荣,易伟建,朱平生.结构拟动力远程协同试验网络平台的开发研究[J].建筑结构学报,2005,26(3):122―129.Xiao Yan,Hu Qing,Guo Yurong,Yi Weijian,Zhu Pingsheng.A network platform for remote pseudo-dynamic testing[J].Journal Building of Structures,2005,26(3):122―129.(in Chinese)
[3]朱江杰,吕西林,邹昀.上海环球金融中心模型结构振动台试验与理论分析的对比研究[J].土木工程学报,2005,38(10):18―26.Zhu Jiangjie,Lu Xilin,Zou Yun.Shake-table test and theoretical analysis for Shanghai world financial center scale model[J].China Civil Engineering Journal,2005,38(10):18―26.(in Chinese)
[4]王进廷,金峰,张楚汉.结构抗震试验方法的发展[J].地震工程与工程振动,2005,25(4):37―43.Wang Jinting,Jin Feng,Zhang Chuhan.Advances in the dynamic testing method of structures[J].Journal of Earthquake Engineering and Engineering Vibration,2005,25(4):37―43.(in Chinese)
[5]程绍革,马路,赵鹏飞.基于凝聚技术的结构抗震混合试验原理[J].工程抗震与加固改造,2008,30(2):62―67.Cheng Shaoge,Ma Lu,Zhao Pengfei.Hybrid test method based on system reduction[J].Earthquake Resistant Engineering and Retrofitting,2008,30(2):62―67.(in Chinese)
[6]邱法维,钱稼茹,陈志鹏.结构抗震实验方法[M].北京:科学出版社,2000.Qiu Fawei,Qian Jiaru,Chen Zhipeng.Seismic test methodology for structures[M].Beijing:Science Press,2000.(in Chinese)
[7]王倩颖,吴斌,欧进萍.考虑作动器时滞及其补偿的实时子结构实验稳定性分析[J].工程力学,2007,24(2):9―14,8.Wang Qianying,Wu Bin,Ou Jinping.Stability analysis of real-time substructure testing considering actuator delay and compensation[J].Engineering Mechanics,2007,24(2):9―14,8.(in Chinese)
[8]Wu B,Bao H,Ou J,Tian S.Stability and accuracy analysis of central difference method for real-time substructure testing[J].Earthquake Engineering and Structural Dynamics,2005,34:705―718.
[9]Chang S Y.Explicit pseudodynamic algorithm with unconditional stability[J].Journal of Engineering Mechanics,2002,128(9):935―947.
[10]Wu B,Xu G,Wang Q,Williams M.Operator-splitting method for real-time substructure testing[J].Earthquake Engineering and Structural Dynamics,2006,35:293―314.
[11]Tada M,Pan P.A modified operator splitting(OS)method for collaborative structural analysis(CSA)[J].International Journal for Numerical Methods in Engineering,2007,72:379―396.
[12]Bayer V,Dorka U,Füllekrug U,Gschwilm J.On real-time pseudodynamic substructure testing:algorithm,numerical and experimental results[J].Aerospace Science and Technology,2005,9:223―232.
[13]Wu B,Wang Q,Benson S P,Ou J P.Equivalent force control method for generalized real-time substructure testing with implicit integration[J].Earthquake Engineering and Structural Dynamics,2007,36:1127―1149.
[14]Shing P B,Wei Z,Jung R Y,Stauffer E.NEES fast hybrid test system at the University of Colorado[C].13th World Conference on Earthquake Engineering,Vancouver.B.C.,2004:1―6.
[15]Xie Y M,Steven G P.Instability,chaos,and growth and decay of energy of time-stepping schemes for non-linear dynamic equations[J].Communications in Numerical Methods in Engineering,1994,10:393―401.
[16]Simo J C,Tarnow N.The discrete energy-momentum methods:conserving algorithms for nonlinear elastodynamics[J].Zeitschrift für Angewandte Mathematik und Physik(ZAMP),1992,43:757―793.
[17]Bui Q V.On the enforcing energy conservation of time-finite elements for systems[J].International Journal for Numerical Methods in Engineering,2006,68:967―992.
[18]李妍,吴斌,王倩颖,欧进萍.防屈曲钢支撑阻尼器的试验研究[J].土木工程学报,2006,39(7):9―14.Li Yan,Wu Bin,Wang Qianying,Ou Jinping.An experimental study of anti-buckling steel damping-braces[J].China Civil Engineering Journal,2006,39(7):9―14.(in Chinese)
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