自由度绑定边界在地下结构动力有限元分析中的实现与验证
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摘要
应用数值模拟进行地下结构的动力反应分析时,需要处理计算区域的边界问题。应用有限元软件ABAQUS建立了下卧为刚性基岩的土-结构相互作用模型,在计算区域的两侧边点分别设置自由边界和绑定自由度的人工边界,以远置人工边界的解作为精确解。数值模拟对比分析了自由场地和含有结构场地的动力反应,结果验证了绑定自由度边界在ABAQUS中的适用性和精确度。
When the numerical simulation is applied to the dynamic response analysis of underground structures,the boundary problem of the computational region should be considered. The soil-structure interaction model of rigid bedrock is established by using finite element software ABAQUS,the artificial boundaries of free boundaries and tied degrees of freedom boundaries are set at the two sides of the computational region,and set a boundary far enough as the exact solution for reference. The dynamic responses of the free field and the soil-structure are compared and analyzed by numerical simulation.The results show that the tied degrees of freedom boundary is applicable and accurate in ABAQUS.
When the numerical simulation is applied to the dynamic response analysis of underground structures,the boundary problem of the computational region should be considered. The soil-structure interaction model of rigid bedrock is established by using finite element software ABAQUS,the artificial boundaries of free boundaries and tied degrees of freedom boundaries are set at the two sides of the computational region,and set a boundary far enough as the exact solution for reference. The dynamic responses of the free field and the soil-structure are compared and analyzed by numerical simulation.The results show that the tied degrees of freedom boundary is applicable and accurate in ABAQUS.
引文
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[9]Tsinidis G,Pitilakis K,Trikalioti A D.Numerical Simulation of Round Robin Numerical Test on Tunnels Using a Simplified Kinematic Hardening model[J].Acta Geotechnica.2014,9(4):641-659.
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[2]Deeks A,Randolph M.Axisymmetric Dynamic Time-domain Transmitting Boundaries[J].Journal of Engineering Mechanics,1994,120(1):25-42.
[3]刘晶波,王振宇,杜修力,等.波动问题中的三维时域粘弹性人工边界[J].工程力学,2005(6):46-51.
[4]张波,李术才,杨学英,等.三维黏弹性人工边界地震波动输入方法研究[J].岩土力学,2009,30(3):774-778.
[5]陈震,徐远杰.粘弹性人工边界ABAQUS二次开发及应用[J].地下空间与工程学报,2012,8(3):526-529.
[6]梁建文,齐晓原,巴振宁.基于黏弹性边界的三维凹陷地形地震响应分析[J].地震工程与工程振动,2014,34(4):21-28.
[7]刘晶波,杜义欣,闫秋实.粘弹性人工边界及地震动输入在通用有限元软件中的实现[C].第三届全国防震减灾工程学术研讨会论文集,2007:43-48.
[8]杜修力,李洋,赵密,等.下卧刚性基岩条件下场地土-结构体系地震反应分析方法研究[J].工程力学,2017,34(5):52-59.
[9]Tsinidis G,Pitilakis K,Trikalioti A D.Numerical Simulation of Round Robin Numerical Test on Tunnels Using a Simplified Kinematic Hardening model[J].Acta Geotechnica.2014,9(4):641-659.
[10]廖振鹏.工程波动理论导论(第二版)[M].北京:科学出版社,2002.
[11]杨柏坡,廖振鹏.结构-土相互作用有限元解法及改造通用程序的初步结果[J].地震工程与工程振动,1986(4):10-20.