改进振动法在地下工程动力时程计算中的应用
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摘要
地下工程受到周围土体的约束作用,其动力反映与地面工程有所区别,如将源于地面工程的振动法用于地下工程的动力时程计算分析,需要进行相应的改进。文章通过计算分析发现,振动法用于地下工程动力时程计算时,在计算模型边界条件和波动传播时间效应方面不能反映波动对地下工程作用的实质;通过对比分析,在这两个方面对常规振动法进行了改进;提出了适用于地下工程动力时程计算的改进振动法。该方法的计算模型采用左右两侧粘弹性底部固定的人工边界条件,波动输入采用能够反映波动传播时间效应的分层加速度动态输入法,其计算分析结果与理论解吻合较好,适用于地下工程的动力时程计算分析。
Underground works are restricted by the surrounding soil masses and their dynamic reflection is different from that in surface engineering.If the vibration method for surface engineering is adopted for time-history analysis and calculations in underground works,corresponding improvements must be made as it cannot reflect the essential wave effect on underground works with respect to the boundary conditions of the calculation model and the time effect of wave propagation.By means of contrastive analysis,an improvement is made regarding the conventional vibration method.As for theimproved vibration method for the dynamic time-history calculation of underground works,the calculation model uses the artificial boundary condition of two viscoelastic sides with fixed constraint bottoms as well as the dynamic layered acceleration for wave input.The calculation results agree with the theoretical ones very well and demonstrate the capability of the dynamic time-history calculation forunderground works.
Underground works are restricted by the surrounding soil masses and their dynamic reflection is different from that in surface engineering.If the vibration method for surface engineering is adopted for time-history analysis and calculations in underground works,corresponding improvements must be made as it cannot reflect the essential wave effect on underground works with respect to the boundary conditions of the calculation model and the time effect of wave propagation.By means of contrastive analysis,an improvement is made regarding the conventional vibration method.As for theimproved vibration method for the dynamic time-history calculation of underground works,the calculation model uses the artificial boundary condition of two viscoelastic sides with fixed constraint bottoms as well as the dynamic layered acceleration for wave input.The calculation results agree with the theoretical ones very well and demonstrate the capability of the dynamic time-history calculation forunderground works.
引文
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[2]谷拴成,朱彬,杨荣尚.地下结构动力响应分析中人工边界的影响[J].辽宁工程技术大学报(自然科学版),2007,26(3):375-377Gu Shuancheng,Zhu Bin,Yang Rongshang.Effect of Artificial Boundary on Seismic Response of Underground Structure[J].Journal of Liaoning Technical University(Natural Science Edition),2007,26(3):375-377
[3]张运良,马艳晶.基于两类典型动力人工边界的水电站地下洞室群地震反应分析[J].水电能源科学,2010,28(3):7073Zhang Yunliang,Ma Yanjing.Seismic Response Analysis of Underground Chambers of Hydropower Station Based on Two Typical Dy-namic Artificial Boundary Conditions[J].Water Resources and Power,2010,28(3):70-73
[4]周健,胡晓燕.考虑行进波的地下建筑物动力反应分析[J].岩石力学与工程学报,2001,20(1):70-73Zhou Jian,Hu Xiaoyan.Dynamic Response Analysis on Underground Earth Structures Considering Traveling Waves[J].Chinese Jour-nal of Rock Mechanics and Engineering,2001,20(1):70-73
[5]杨海天,高强,郭杏林,等.粘弹性动力问题中的一种新的时域递进算法[J].应用数学和力学,2001,22(6):579-586Yang Haitian,Gao Qiang,Guo Xinglin.A New Algorithm of Time Stepping in Dynamic Viscoelastic Problems[J].Applied Mathematics and Mechanic,2001,22(6):579-586
[6]刘继国,郭小红,程勇.高地震烈度下超大直径海底盾构隧道地震响应分析[J].现代隧道技术,2011,48(3):53-58Liu Jiguo,Guo Xiaohong,Cheng Yong.Seismic Response Analysis on Super Large-diameter Undersea Shied Tunnel under High Seis-mic Intensity[J].Modern Tunnelling Technology,2011,48(3):53-58
[7]严松宏.地下结构随机地震响应分析及其动力可靠度研究[D].成都:西南交通大学,博士论文,2003Yan Songhong.Study of Underground Structural Stochastic Seismic Response and Dynamic Reliability[D].Chengdu:Southwest JiaotongUniversity,Doctorial Thesis,2003
[8]李育枢,李天斌.高烈度地震区隧道洞口段地震安全性分析及评价[J].现代隧道技术,2011,48(3):46-52Li Yushu,Li Tianbin.Seismic Analysis and Safety Evaluation of the Tunnel Portal Section in Regions of HighSeismic Intensity[J].Mod-ern Tunnelling Technology,2011,48(3):46-52
[9]克拉夫.结构动力学(王光远等译)[M].北京:科学出版社,1981Ray W.Clough.Structural Dynamics(translated by Wang Guangyuan)[M].Beijing:Science Press,2004
[10]吕彦东.结构-地基动力相互作用分析方法的研究[D].北京:清华大学,1997Lv Yandong.Research on the Analysis Methods of Dynamic Interaction between Structureand Foundation[D].Beijing:Tsinghua Uni-versity,1997
[11]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,2005,22(6):46-51Liu Jingbo,Wang Zhenyu,Du Xiuli,et al.There-dimensional Visco-elastic Artificial Boundaries in Time Domain for Wave Motion Problems[J].Engineering Mechanics,2005,22(6):46-51
[12]杜修力,赵密,王进廷.近场波动模拟的人工应力边界条件[J].力学学报,2006,38(1):49-56Du Xiuli,Zhao Mi,WangJinting.A Stress Artificial Boundary in FEA for Near-field Wave Problem[J].Chinese Journal of Theoretical and AppliedMechanics,2006,38(1):49-56
[13]孙常新,韩立新,高峰.隧道开挖中的应力旋转和裂隙塑性变形问题研究[J].现代隧道技术,2011,48(1):6-11Sun Changxin,Han Lixin,Gao Feng.Research on Stress Rotation and Plastic Deformation of Cracks in Tunnel during Excavation[J].Modern Tunnelling Technology,2011,48(1):6-11
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