动态子结构法在地铁列车引起地基振动分析中的应用
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摘要
运用动态子结构固定界面模态综合法在ANSYS有限元分析软件中建立隧道地基耦合动力学模型,分析地铁列车荷载作用下隧道和地基表面的动力响应;通过与有限元整体建模分析法进行比较,验证动态子结构法的准确度。探讨固定界面模态综合法中主模态截断数与分析频率之间的关系,并讨论地基子结构模型中人工边界的施加问题。计算表明:固定界面模态综合法能够明显地减少建模及计算工作量,缩短计算时间,减少存储空间,且具有较高的精度,可在地铁环境振动分析中推广使用。
A dynamic model for the tunnel-ground coupling system was established,using the fixed-interface component mode synthesis combining with the dynamic substructure method in the ANSYS software,to analyze the dynamic responses of the tunnel and the ground surface due to the metro train load.The accuracy of the dynamic substructure method was validated by comparing with the whole finite element model.The relationship between the number of the normal mode truncation and the analysis frequency in the fixed-interface component mode synthesis was discussed.In addition,the issue of the artificial boundary application was explored in the ground sub-structuring model.The computational results prove that the fixed-interface component mode synthesis can significantly reduce the computational efforts,shorten the calculation time,reduce the storage space,and hence can be used to analyze the subway environment vibration.
A dynamic model for the tunnel-ground coupling system was established,using the fixed-interface component mode synthesis combining with the dynamic substructure method in the ANSYS software,to analyze the dynamic responses of the tunnel and the ground surface due to the metro train load.The accuracy of the dynamic substructure method was validated by comparing with the whole finite element model.The relationship between the number of the normal mode truncation and the analysis frequency in the fixed-interface component mode synthesis was discussed.In addition,the issue of the artificial boundary application was explored in the ground sub-structuring model.The computational results prove that the fixed-interface component mode synthesis can significantly reduce the computational efforts,shorten the calculation time,reduce the storage space,and hence can be used to analyze the subway environment vibration.
引文
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[9]冯青松,雷晓燕,练松良.解析法分析铁路环境振动的列车随机激振荷载[J].华东交通大学学报,2013,30(5):1-7.FENG Qingsong,LEI Xiaoyan,LIAN Songliang.Analysis of train stochastic vibrating loads in railway environmental vibration[J].Journal of East China Jiaotong University,2013,30(5):1-7.
[10]Geng Zhang.Component-based and parametric reduced-order modeling methods for vibration analysis of complex structures[D].Ann Aobor:The University of Michigan,2005.
[2]张鹏飞,雷晓燕,高亮,等.货物列车运行引起的大地振动及其对精密仪器的影响[J].铁道科学与工程学报,2013,10(2):108-113.ZHANG Pengfei,LEI Xiaoyan,GAO Liang,et al.Study on the ground vibration and its impact on precision instruments induced by freight train[J].Journal of Railway Science and Engineering,2013,10(2):108-113.
[3]楼梦麟.结构动力分析的子结构方法[M].上海:同济大学出版社,1997.LOU Menglin.The substructure method for dynamic analysis of structures[M].Shanghai:Tongji University Press,1997.
[4]白建方.复杂场地土层地震反应分析的并行有限元方法[D].上海:同济大学,2007.BAI Jianfang.Parallel finite element method for seismic response analysis of irregular site[D].Shanghai:Tongji University,2007.
[5]Hurty W C.Vibrations of structural systems by component mode synthesis[J].Journal of the Engineering Mechanics Divion,ASCE,1960,86:51-59.
[6]Craig R R,Bampton M C C.Coupling of Structures for Dynamic Analyses[J].AAIA J,1968,6(7):1313-1319.
[7]和振兴,翟婉明,罗震.地铁列车引起的地面振动[J].西南交通大学学报,2008,43(2):218-221.HE Zhenxing,ZHAI Wanming,LUO Zhen.Ground vibration caused by moving metro trains[J].Journal of Southwest Jiaotong University,2008,43(2):218-221.
[8]刘晶波,谷音,杜义欣.一致黏弹性人工边界及黏弹性边界单元[J].岩土工程学报,2006,28(9):1070-1075.LIU Jingbo,GU Yin,DU Yixin.Consistent viscousspring artificial boundaries and viscous-spring boundary elements[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1070-1075.
[9]冯青松,雷晓燕,练松良.解析法分析铁路环境振动的列车随机激振荷载[J].华东交通大学学报,2013,30(5):1-7.FENG Qingsong,LEI Xiaoyan,LIAN Songliang.Analysis of train stochastic vibrating loads in railway environmental vibration[J].Journal of East China Jiaotong University,2013,30(5):1-7.
[10]Geng Zhang.Component-based and parametric reduced-order modeling methods for vibration analysis of complex structures[D].Ann Aobor:The University of Michigan,2005.
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