实时子结构混合试验中的数值积分方法对比分析
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摘要
将CR方法运用到振动台子结构混合试验中,并结合作动器的时滞和外插时滞补偿方法进行了研究。文中将改造的中心差分法、改造的算子分解法、改造的Chang方法、改造的显式Newmark方法均与CR方法进行了对比分析。结果表明,改造的算子分解法的稳定性最差,当不考虑阻尼影响时改造的显式Newmark方法的稳定界限为2,改造的中心差分法与原方法的稳定性无变化,时滞对改造的中心差分法和改造的算子分解法的影响最大,且外插补偿的效果均比其它三种方法差;改造的Chang方法和改造的显式Newmark方法及CR方法经时滞补偿后得到的位移基本与全结构分析得到的位移吻合。建议在振动台子结构混合试验中采用CR方法进行试验,并采用外插补偿的办法解决时滞问题。
In this paper,combining with actuator delay and extrapolation delay compensation,CR method(CRM) is applied to real-time dynamic hybrid testing(RTDHT) of shaking table.Comparison of CR method with modified central difference method,modified operator-splitting method,modified Chang method and modified explicit Newmark method is given.Simulation results show the stability of modified operator-splitting method is worst,stability limit maximum is 2 of explicit Newmark method without damping effects,the stability of modified central difference method is the same as original methods.The impact of delay on modified central difference method and modified operator-splitting method is the greatest.The effect of extrapolation compensation is serious The displacements obtained by modified Chang method,modified explicit Newmark method and CR method after delay compensation are consistent with the displacements by the whole structure methods.The results suggest that CR method can be used in RTDHT of shaking table.The extrapolation delay compensation can be used for actuator delay.
In this paper,combining with actuator delay and extrapolation delay compensation,CR method(CRM) is applied to real-time dynamic hybrid testing(RTDHT) of shaking table.Comparison of CR method with modified central difference method,modified operator-splitting method,modified Chang method and modified explicit Newmark method is given.Simulation results show the stability of modified operator-splitting method is worst,stability limit maximum is 2 of explicit Newmark method without damping effects,the stability of modified central difference method is the same as original methods.The impact of delay on modified central difference method and modified operator-splitting method is the greatest.The effect of extrapolation compensation is serious The displacements obtained by modified Chang method,modified explicit Newmark method and CR method after delay compensation are consistent with the displacements by the whole structure methods.The results suggest that CR method can be used in RTDHT of shaking table.The extrapolation delay compensation can be used for actuator delay.
引文
[1]李海洋,王向英,田石柱.地震模拟振动台子结构混合试验方法[J].建筑科学与工程学报,2009,26(2):75-80.
[2]Wu B,Bao H,Ou J,et al.Stability and accuracy analysis of central difference method for real-time substructure testing[J].Earthquake Engi-neering and Structural Dynamics2,005,34:705-718.
[3]Wu B,Xu G,Wang Q.Operator-splitting method for real-time substructure testing[J].Earthquake Engineering and Structural Dynamics,2006,35(3):705-718.
[4]Cheng Chen,Ricles J M.Development of direct integration algorithms for structural dynamics using discrete control theory[J].Journal of Engineer-ing Mechanics,20081,34(8):676-683.
[5]Cheng Chen,Ricles J M.Stability analysis of direct integration algorithms applied to nonlinear structural dynamics[J].Journal of Engineering Me-chanics,2008,134(9):703-711.
[6]Cheng Chen,Ricles J M.Real-time hybrid testing using the unconditionally stable explicit CR integration algorithm[J].Earthquake Engineeringand Structural Dynamics,2009,38:23-44.
[7]Cheng Chen,Ricles J M.Stability analysis of real-time hybrid testing with actuator delay using explicit integration algorithms[J].Earthquake En-gineering and Structural Dynamics,20083,7(4):597-613.
[8]Cheng Chen,Ricles J M.Improving the inverse compensation method for real-time hybrid simulation through a dual compensation scheme[J].Earthquake Engineering and Structural Dynamics2,009 in press.
[9]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.
[10]王倩颖.实时子结构试验方法及其应用[D].哈尔滨:哈尔滨工业大学2,007.
[11]涂建维,张凯静,瞿伟廉.实时子结构试验的时间滞后补偿方法的研究[J].武汉理工大学学报,20093,1(13):52-54.
[12]Chang SY.Explicit pseudodynamic algorithm with unconditional stability[J].Journal of Engineering Mechanics,20021,28(9):935-947.
[13]杨现东.振动台子结构试验的数值仿真分析[D].哈尔滨:哈尔滨工业大学2,007.
[2]Wu B,Bao H,Ou J,et al.Stability and accuracy analysis of central difference method for real-time substructure testing[J].Earthquake Engi-neering and Structural Dynamics2,005,34:705-718.
[3]Wu B,Xu G,Wang Q.Operator-splitting method for real-time substructure testing[J].Earthquake Engineering and Structural Dynamics,2006,35(3):705-718.
[4]Cheng Chen,Ricles J M.Development of direct integration algorithms for structural dynamics using discrete control theory[J].Journal of Engineer-ing Mechanics,20081,34(8):676-683.
[5]Cheng Chen,Ricles J M.Stability analysis of direct integration algorithms applied to nonlinear structural dynamics[J].Journal of Engineering Me-chanics,2008,134(9):703-711.
[6]Cheng Chen,Ricles J M.Real-time hybrid testing using the unconditionally stable explicit CR integration algorithm[J].Earthquake Engineeringand Structural Dynamics,2009,38:23-44.
[7]Cheng Chen,Ricles J M.Stability analysis of real-time hybrid testing with actuator delay using explicit integration algorithms[J].Earthquake En-gineering and Structural Dynamics,20083,7(4):597-613.
[8]Cheng Chen,Ricles J M.Improving the inverse compensation method for real-time hybrid simulation through a dual compensation scheme[J].Earthquake Engineering and Structural Dynamics2,009 in press.
[9]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.
[10]王倩颖.实时子结构试验方法及其应用[D].哈尔滨:哈尔滨工业大学2,007.
[11]涂建维,张凯静,瞿伟廉.实时子结构试验的时间滞后补偿方法的研究[J].武汉理工大学学报,20093,1(13):52-54.
[12]Chang SY.Explicit pseudodynamic algorithm with unconditional stability[J].Journal of Engineering Mechanics,20021,28(9):935-947.
[13]杨现东.振动台子结构试验的数值仿真分析[D].哈尔滨:哈尔滨工业大学2,007.
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