弹性试件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。通过对具有弹性试件体系的数值模拟和试验进一步验证实时子结构试验等效力控制方法的有效性。首先介绍实时子结构试验等效力控制方法的原理;然后以一单自由度体系为例介绍比例-微分等效力控制器的设计方法,并用劳斯判据分析反馈控制系统的稳定性;接着对一具有弹性试件的单自由度体系进行单步输入反应、自由振动反应和受迫振动反应的数值模拟;最后通过对具有弹簧试件的单自由度体系的单步输入、自由振动和受迫振动反应的实际试验验证此方法的有效性。分析结果表明,只要反馈控制系统中各参数均选正值此系统就是稳定的。数值模拟和试验的结果都表明,等效力控制方法可以取得非常好的稳定性和精度。
An equivalent force control(EFC) method replaced mathematical iterations with a force feedback control loop for solving nonlinear equations of motion in a real-time substructure test(RST) using implicit integration algorithm.Here,numerical simulations and actual tests of structures in which the elastic element was used as the experimental substructure were introduced to further validate effectiveness of the EFC method.Firstly,the EFC method was introduced.Then,one single-degree-of-freedom(SDOF) system was used as an example to introduce the design method of a proportional-derivative equivalent force controller,and its stability was analyzed with the Routh stability criterion.Furthermore,numerical simulations of response to one-step excitation,free-vibration,and forced-vibration responses of the SDOF system,in which the elastic element was used as the experimental substructure,were done.Lastly,actual RSTs of response to one-step excitation,free-vibration,and forced-vibration responses of the SDOF system,in which the spring was used as the specimen,were done to further validate the effectiveness of the method.The analysis results showed that the feedback control system is stable as long as all control gains are positive.The numerical simulations and experimental results showed that the EFC method may exhibit excellent performance of stability and accuracy.
An equivalent force control(EFC) method replaced mathematical iterations with a force feedback control loop for solving nonlinear equations of motion in a real-time substructure test(RST) using implicit integration algorithm.Here,numerical simulations and actual tests of structures in which the elastic element was used as the experimental substructure were introduced to further validate effectiveness of the EFC method.Firstly,the EFC method was introduced.Then,one single-degree-of-freedom(SDOF) system was used as an example to introduce the design method of a proportional-derivative equivalent force controller,and its stability was analyzed with the Routh stability criterion.Furthermore,numerical simulations of response to one-step excitation,free-vibration,and forced-vibration responses of the SDOF system,in which the elastic element was used as the experimental substructure,were done.Lastly,actual RSTs of response to one-step excitation,free-vibration,and forced-vibration responses of the SDOF system,in which the spring was used as the specimen,were done to further validate the effectiveness of the method.The analysis results showed that the feedback control system is stable as long as all control gains are positive.The numerical simulations and experimental results showed that the EFC method may exhibit excellent performance of stability and accuracy.
引文
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[5]Lu X,Zhou Y,Lu W,et al.Shaking Table Model Test onShanghai World Financial Center Tower[J].Earthquake En-gineering and Structural Dynamics,2007,36:439-457.
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[8]Xiao Y,Hu Q,Guo Y,et al.Network Platform for RemoteStructural Testing and Shared Use of Laboratories[J].Pro-gress in Natural Science,2005,15(12):1135-1142.
[9]陈伯望,王海波.非线性精细积分方法及其在拟动力试验中的应用[J].振动与冲击,2009,28(1):88-98.
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[11]Wu B,Bao H,Ou J,et al.Stability and Accuracy Analysisof Central Difference Method for Real-time Substructure Tes-ting[J].Earthquake Engineering and Structural Dynamics,2005,34:705-718.
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[16]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.
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