考虑不完整边界条件的新型混合试验方法
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摘要
在混合试验中,当子结构边界自由度较多时,其边界条件往往难以完全实现,而边界条件的缺失势必改变原结构的受力状态,影响结构性能评估的准确性。为此,提出基于模型更新的在线数值模拟方法,称之为考虑不完整边界条件的新型混合试验方法。该方法建立具有相同本构关系的两套数值模型,分别用于整体结构数值计算和物理子结构本构模型参数识别。由于结构反应由整体结构数值模型求得,边界条件自然得到满足;而且数值模型的本构参数不断根据物理试件的试验结果在线修正,提高了数值计算的准确性。以物理试件的恢复力为追踪目标,采用基于梯度的优化方法在线估计并更新材料本构模型参数;以Matlab和Open Sees为计算平台完成了边界条件不完整的钢筋混凝土框架结构虚拟混合试验。结果表明,该方法几乎消除了边界条件不足带来的不利影响,提高了混合试验的模拟精度。
Hybrid simulation is a powerful and cost-effective technique to evaluate structural dynamic performance.However,when the boundary of a physical substructure has many DOFs,its boundary condition is difficult to be fully realized,while absence of boundary conditions is bound to change the stress state of the original structure and eventually affects the correctness of structure evaluation. Here,an online numerical simulation method based on model updating was proposed,it was called a novel hybrid simulation method considering incomplete boundary conditions. With the proposed method,two sets of numerical models with the same constitutive relation were built to be applied in the finite element( FE) analysis of the whole structure and the constitutive model parametric recognition of a physical substructure,respectively. The boundary conditions were naturally satisfied because a structure's response was obtained with the whole structure's numerical model,and the numerical model's constitutive parameters were constantly modified online based on the test results of physical specimens to improve the correctness of numerical calculation. Virtual hybrid simulations of a RC frame structure under incomplete boundary conditions were conducted. The results showed that the effect of incomplete boundary conditions is almost eliminated and the accuracy of the proposed hybrid simulation is improved.
Hybrid simulation is a powerful and cost-effective technique to evaluate structural dynamic performance.However,when the boundary of a physical substructure has many DOFs,its boundary condition is difficult to be fully realized,while absence of boundary conditions is bound to change the stress state of the original structure and eventually affects the correctness of structure evaluation. Here,an online numerical simulation method based on model updating was proposed,it was called a novel hybrid simulation method considering incomplete boundary conditions. With the proposed method,two sets of numerical models with the same constitutive relation were built to be applied in the finite element( FE) analysis of the whole structure and the constitutive model parametric recognition of a physical substructure,respectively. The boundary conditions were naturally satisfied because a structure's response was obtained with the whole structure's numerical model,and the numerical model's constitutive parameters were constantly modified online based on the test results of physical specimens to improve the correctness of numerical calculation. Virtual hybrid simulations of a RC frame structure under incomplete boundary conditions were conducted. The results showed that the effect of incomplete boundary conditions is almost eliminated and the accuracy of the proposed hybrid simulation is improved.
引文
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[2]WU B,CHEN Y,XU G,et al.Hybrid simulation of steel frame structures with sectional model updating[J].Earthquake Engineering&Structural Dynamics,2016,45(8):1251-1269.
[3]WU B,ZHOU H.Sliding mode for equivalent force control in real-time substructure testing[J].Structural Control and Health Monitoring,2014,21(10):1284-1303.
[4]WU B,SHI P,OU J.Seismic performance of structures incorporating magnetorheological dampers with pseudonegative stiffness[J].Structural Control and Health Monitoring,2013,20(3):405-421.
[5]林元铮,田石柱.FRP加固RC连续梁桥抗震性能试验研究[J].振动与冲击,2016,35(5):21-26.LIN Yuanzheng,TIAN Shizhu.Experimental study of a RC continuous girder bridge retrofitted by FRP Jacket[J].Journal of Vibration and Shock,2016,35(5):21-26.
[6]周大睿,许国山,吴斌,等.等效力控制方法在连梁阻尼器拟动力子结构试验中的应用[J].振动与冲击,2011,30(8):72-76.ZHOU Darui,XU Guoshan,WU Bin,et al.Application of equivalent force control method for pseudo-dynamic substructure tests of coupling beam damper[J].Journal of Vibration and Shock,2011,30(8):72-76.
[7]张爱林,张艳霞,赵微.可恢复功能的装配式预应力钢框架拟动力试验研究[J].振动与冲击,2016,35(5):207-215.ZHANG Ailin,ZHANG Yanxia,ZHAO Wei,et al.Pseudo dynamic tests for a resilient prefabricated steel frame[J].Journal of Vibration and Shock,2016,35(5):207-215.
[8]陈再现,姜洪斌,张家齐,等.预制钢筋混凝土剪力墙结构拟动力子结构试验研究[J].建筑结构学报,2011,32(6):41-50.CHEN Zaixian,JIANG Hongbin,ZHANG Jiaqi,et al.Pseudo-dynamic substructure test on precast reinforced concrete shear wall structure[J].Journal of Building Structures,2011,32(6):41-50.
[9]苏宇坤,潘鹏,邓开来,等.子结构拟动力试验方法在老旧住宅外套式加固改造工程中的应用[J].建筑结构学报,2014,35(2):8-14.SU Yukun,PAN Peng,DENG Kailai,et al.Application of pseudo-dynamic substructure tests to old residential buildings retrofitted by exterior strengthening method[J].Journal of Building Structures,2014,35(2):8-14.
[10]万里波,余稚明,蒋春云,等.预制装配式剪力墙盒子结构拟动力试验研究[J].工程抗震与加固改造,2016,38(2):52-57.WAN Libo,YU Zhiming,JIANG Chunyun,et al.Pseudodynamic testing and analysis of the precast shear-wall box module[J].Earthquake Resistant Engineering and Retrofitting,2016,38(2):52-57.
[11]梅竹,吴斌,杨格.钢筋混凝土结构材料本构模型参数的在线识别[J].工程力学,2016,33(7):108-115.MEI Zhu,WU Bin,YANG Ge.Online parameter identification of concrete constitutive model[J].Engineering Mechanics,2016,33(7):108-115.
[12]SCOTT B D,PARK R,PRIESTLEY M J N.Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates[J].ACI Journal,1982,79(2):13-27.
[13]张光澄.非线性最优化计算方法[M].北京:高等教育出版社,2005.
[14]杨格,王贞,吴斌,等.建筑结构混合试验平台Hy Test开发研究[J].建筑结构学报,2015,36(11):149-156.YANG Ge,WANG Zhen,WU Bin,et al.Development of Hy Test for structural hybrid simulation[J].Journal of Building Structures,2015,36(11):149-156.