采用Chang方法的混合试验的稳定性和精度
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摘要
推导了采用Chang方法的混合试验的控制公式,并采用MATLAB分析软件建立了基于Chang方法的混合试验数值模拟平台.为研究误差对采用Chang方法混合试验的稳定性和精度所造成的影响,推导了两种时滞误差影响下采用Chang方法的混合试验的收敛性公式,并利用数值模拟平台对收敛性理论结果进行验证.采用上述平台,从周期误差率和幅值误差率的角度研究了误差对采用Chang方法的混合试验精度的影响.
The formula of shaking table-actuator hybrid test STAHT with Chang Method is deduced firstly and the numerical simulation platform based on Chang Method is established using software MATLAB. As errors are inevitable in STAHTs,the effects of errors on the stability and accuracy of STAHT with Chang Method are discussed with theoretical method and the numerical simulation platform is used to verify the theoretical results.
The formula of shaking table-actuator hybrid test STAHT with Chang Method is deduced firstly and the numerical simulation platform based on Chang Method is established using software MATLAB. As errors are inevitable in STAHTs,the effects of errors on the stability and accuracy of STAHT with Chang Method are discussed with theoretical method and the numerical simulation platform is used to verify the theoretical results.
引文
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[11]Shao Xiaoyun,Andrei M Reinhorn,Mettupalayam V Sivaselvan.Real-time hybrid simulation using shake tables and dynamic actuators[J].Journal of Structural Engineering,2011,137(7):748.
[12]吕丽娟.地震模拟振动台子结构混合试验边界条件的模拟方法研究[D].哈尔滨:哈尔滨工业大学,2008.LLijuan.Study on the boundary condition simulation of hybrid-testing[D].Harbin:Harbin Institute of Technology,2008.
[13]王向英.结构地震模拟振动台混合试验方法研究[D].哈尔滨:哈尔滨工业大学,2010.WANG Xiangying.Study on structural hybrid testing method with shaking table[D].Harbin:Harbin Institute of Technology,2010.
[14]Newmark N M.A method of computation for structural dynamics[J].Journal of Engineering Mechanics Division,1959,85(3):67.
[15]Hilber H M,Hughes T J R,Taylor R L.Improved numerical dissipation for time integration algorithms in structural mechanics[J].Earthquake Engineering and Structure Dynamics,1997,5(3):283.
[16]Hughes T J R.The fnite-element method:linear static and dynamic finite-element analysis[M].Englewood:PrenticeHall,1987.
[17]Chang S Y.Explicit pseudodynamic algorithm with unconditional stability[J].Journal of Engineering Mechanics,2002,128(9):935.
[18]Chang S Y.An unconditionally stable explicit algorithm in time history analysis[R].Taipei:National Center for Research on Earthquake Engineering,1999:NCREE-96-001.
[2]Takanashi K,Nakashima M.Japanese activities on on-line testing[J].Journal of Engineering Mechanics,1987,113(7):1014.
[3]Nakashima M,Kato H,Takaoka E.Development of real-time pseudo dynamic testing[J].Earthquake Engineering and Structural Dynamics,1992,21(1):79.
[4]Tamura K,Kobayashi H.Real-time hybrid vibration experiments with a 2-degree-of-freedom model[C]∥Proceedings of the 30th Joint Meeting of the U S/Japan Cooperative Program in Natural Resources Panel on Wind and Seismic Effects.Gaithersburg:National Institute of Standards and Technology,1981:41-49.
[5]Wang T,McCormick J,Nakashima M.Verification test of a hybrid test system with distributed column base tests[C]∥Proceeding of 18th Analysis and Computation Specially Conference.Vancouver:American Society of Civil Engineers,2008:1-12.
[6]Kausel E.New seismic testing method I:fundamental concepts[J].Journal of Engineering Mechanics,1998,124:565.
[7]Kausel E.New seismic testing method II:proof for MDOF system[J].Journal of Engineering Mechanics,1998,124:571.
[8]Andrei M Reinhorn X,Mettupalayam V Sivaselvan.Real time dynamic hybrid testing using shake tables and force-based substructuring[C]∥17th Anniversary Computation Specialty Conference.St Louis:American Society of Civil Engineers,2006:1-10.
[9]Andrei M Reinhorn,Mettupalayam Sivasetvan.Large scale real time dynamic hybrid testing thechnique-shake tables substructure testing[J].Advances in Experimental Structural Engineering,2005,18(1):457.
[10]Andrei M Reinhorn M V S Z.Real-time dynamic hybrid testing of structural systems[C/CD]∥13th World Conference on Earthquake Engineering.Vancouver:[s.n.],2004.
[11]Shao Xiaoyun,Andrei M Reinhorn,Mettupalayam V Sivaselvan.Real-time hybrid simulation using shake tables and dynamic actuators[J].Journal of Structural Engineering,2011,137(7):748.
[12]吕丽娟.地震模拟振动台子结构混合试验边界条件的模拟方法研究[D].哈尔滨:哈尔滨工业大学,2008.LLijuan.Study on the boundary condition simulation of hybrid-testing[D].Harbin:Harbin Institute of Technology,2008.
[13]王向英.结构地震模拟振动台混合试验方法研究[D].哈尔滨:哈尔滨工业大学,2010.WANG Xiangying.Study on structural hybrid testing method with shaking table[D].Harbin:Harbin Institute of Technology,2010.
[14]Newmark N M.A method of computation for structural dynamics[J].Journal of Engineering Mechanics Division,1959,85(3):67.
[15]Hilber H M,Hughes T J R,Taylor R L.Improved numerical dissipation for time integration algorithms in structural mechanics[J].Earthquake Engineering and Structure Dynamics,1997,5(3):283.
[16]Hughes T J R.The fnite-element method:linear static and dynamic finite-element analysis[M].Englewood:PrenticeHall,1987.
[17]Chang S Y.Explicit pseudodynamic algorithm with unconditional stability[J].Journal of Engineering Mechanics,2002,128(9):935.
[18]Chang S Y.An unconditionally stable explicit algorithm in time history analysis[R].Taipei:National Center for Research on Earthquake Engineering,1999:NCREE-96-001.
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