二维弧形一致粘弹性边界单元在ABAQUS中的应用
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摘要
针对以往粘弹性动力人工边界前处理工作繁杂和计算精度不高等问题,基于ABAQUS有限元软件,提出1种采用弧形一致粘弹性边界单元模拟半无限域人工边界的全新思路。详细阐述了弧形一致粘弹性边界单元人工边界在有限元软件中的实现方法,并通过算例研究了该边界单元的可靠性,结果表明:其精度比普通粘弹性边界提高了4%~8%。同时,研究了弧形一致粘弹性边界单元厚度对有限元数值模拟结果的影响,得出了该边界单元的厚度会对模拟精度产生直接影响的结论,建议其厚宽比在1~2范围内取值。
In view of the complex pretreatment and lack of precision for viscuos-spring artificial boundary in dynamic analysis,a new concept of arc consistent viscous-spring boundary element was proposed based on the finite element analysis software of the ABAQUS. The implementation method of arc consistent viscous-spring boundary element in the finite element software was described in detail,and the reliability of the boundary element was studied by numerical example. The results show that the precision of arc consistent viscous-spring boundary element is 4% ~ 8% higher than viscous-spring artificial boundary. Meanwhile,the influence of the boundary element thickness on results of numerical analysis was studied,and the thick to width ratio of arc consistent viscous-spring boundary element is recommended to take values between 1 and 2.
In view of the complex pretreatment and lack of precision for viscuos-spring artificial boundary in dynamic analysis,a new concept of arc consistent viscous-spring boundary element was proposed based on the finite element analysis software of the ABAQUS. The implementation method of arc consistent viscous-spring boundary element in the finite element software was described in detail,and the reliability of the boundary element was studied by numerical example. The results show that the precision of arc consistent viscous-spring boundary element is 4% ~ 8% higher than viscous-spring artificial boundary. Meanwhile,the influence of the boundary element thickness on results of numerical analysis was studied,and the thick to width ratio of arc consistent viscous-spring boundary element is recommended to take values between 1 and 2.
引文
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[8]费康,张建伟.ABAQUS在岩土工程中的应用[M].北京:中国水利水电出版社,2010,53-60.FEI Kang,ZHANG Jiangwei.The Application of ABAQUS in Geotechnical Engineering[M].Beijing:China Water Power Press,2010,53-60.
[2]LYSMER J,KULEMEYER R L.Finite dynamic model for infinite media[J].Engineering Mechanics Division,ASCE,1969,95:859-877.
[3]孙海峰,景立平,孟宪春等.ABAQUS中动力问题边界条件的选取[J].地震工程与工程振动,2011,31(3):71-76.SUN Haifeng,JING Liping,MEN Xianchun,et al.The selection of boundary conditions in dynamic problems by using ABAQUS[J].Journal of Earthquake Engineering and Engineering Vibration,2011,31(3):71-76.
[4]刘晶波,吕彦东.结构一地基动力相互作用问题分析的一种直接方法[J].土木工程学报,1998,31(3):55-64.LIU Jingbo,LU Yandong.A direct method for analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55-64.(in Chinese)
[5]刘晶波,谷音,杜义欣.一致粘弹性人工边界及粘弹性边界单元[J].岩土工程学报,2006,28(9):1070-1075.LIU Jingbo,GU Yin,,DU Yixin.Consistent viscous-spring artificial boundary and viscous-sping boundary element[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1070-1075.(in Chinese)
[6]刘晶波,王振宇,张克峰,等.考虑土-结构相互作用大型动力机器基础三维有限元分析[J].工程力学,2002,19(3):34-38.LIU Jingbo,WANG Zhenyu,ZHANG Kefeng,et al.3D finite element analysis of large dynamic machne foundation considering soil-structure interaction[J].Engineering Mechanics,2002,19(3):34-38.(in Chinese)
[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[J].防灾减灾工程学报,2007,27(4):37-42.LIU Jingbo,DU Yixing,YAN Qiushi.The implementation of viscoelastic artificial boundary and the ground motion input in the general finite element software[J].Journal of Disaster Prevention and Mitigation Engineering,2007,27(4):37-42.
[8]费康,张建伟.ABAQUS在岩土工程中的应用[M].北京:中国水利水电出版社,2010,53-60.FEI Kang,ZHANG Jiangwei.The Application of ABAQUS in Geotechnical Engineering[M].Beijing:China Water Power Press,2010,53-60.