等效黏性边界单元及黏性边界波动输入方法
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摘要
为更好的利用大型通用软件进行结构-地基动力相互作用分析,本文在黏性边界的基础上提出黏性边界单元的概念,通过构造相同阻尼矩阵的方式提出了能够实现黏性边界功效的特殊有限单元-等效黏性边界单元。等效黏性边界单元能够较好的模拟地基的辐射阻尼效应,使黏性边界的实现更加方便。同时,为简化大型通用软件中地震波的输入,提出了适合于黏性边界条件下水平成层地基中垂直入射地震波的输入方法。该方法不需要借助其它辅助计算就可直接在各种大型通用有限元软件中用一个数值模型实现地震波动输入,具有很强的通用性。此输入方法极大的减少了地震波动输入的数据准备工作,降低了操作的复杂程度。数值算例表明,等效黏性边界单元及文中提出的地震波动输入是简单可靠的。
On the basis of viscous artificial boundary,the concept of viscous boundary element is put forward.By constructing the same damping matrix,one special kind of element named equivalent viscous boundary element which can implement the function of viscous boundary is proposed.This element does well in simulating the radiation damping effect of soil foundation and makes the implementation of viscous artificial boundary easily.Meanwhile,a method suitable for vertically incident seismic wave motion input in layered soil is presented to simplify the seismic wave motion input in large general commercial finite element software.With this method,wave input can be processed directly in different kinds of software by means of one numerical model without assistance from any other professional program.Time spent on data preparation is greatly reduced and the complexity of wave input operation procedure is simplified.The effectiveness and reliability of the proposed equivalent viscous boundary element and wave motion input method are verified by numerical examples.
On the basis of viscous artificial boundary,the concept of viscous boundary element is put forward.By constructing the same damping matrix,one special kind of element named equivalent viscous boundary element which can implement the function of viscous boundary is proposed.This element does well in simulating the radiation damping effect of soil foundation and makes the implementation of viscous artificial boundary easily.Meanwhile,a method suitable for vertically incident seismic wave motion input in layered soil is presented to simplify the seismic wave motion input in large general commercial finite element software.With this method,wave input can be processed directly in different kinds of software by means of one numerical model without assistance from any other professional program.Time spent on data preparation is greatly reduced and the complexity of wave input operation procedure is simplified.The effectiveness and reliability of the proposed equivalent viscous boundary element and wave motion input method are verified by numerical examples.
引文
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[3]Liao Z P,H L Wong,B Yang,Y Yuan.A Transmitting Boundary for the Numerical Simulation of Elastic WavePropagation[J].Soil Dyn.&Earthq.Eng.,1984,(3):174-183.
[4]Deeks A J,Randolph M F.Axisymmetric time-domain transmitting boundaries[J].Journal of Engineering Mechnics,ASCE,1994,120(1):25-42.
[5]刘晶波,吕彦东.结构-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):55-63.
[6]Liu Jingbo,Lu Yandong.A direct method for analysis of dynamic soil-structure interaction based on interface idea[A].Dynamic Soil-Structure Interaction[C].Beijing:International Academia Publishers,1997.258-273.
[7]刘晶波,王振宇,杜修力,杜义欣.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):46-51.
[8]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.
[9]刘云贺,张伯艳,陈厚群.拱坝地震输入模型中黏弹性边界与黏性边界的比较[J].水利学报,2006,37(6):758-763.
[10]王海波,涂劲,李德玉.室内动力模型试验中辐射阻尼效应的模拟[J].水利学报,2004,(2):39-44.
[11]MSC Software Corporation.MSC.Marc 2003 Volume A:Theory and User Information[M].California:MSC SoftwareCorporation,2003.
[12]Wang H,Takemiya H.Seismic analysis of buried structures at alluvium[A].In:Proc.4th East Asia-pacific Conf.onStruct.Engrg.&Construction[C].Japan Tokyo:Tokyo Press,1993.1759-1764.
[2]Liao Z P,H L Wong,B Yang,Y Yuan.A transmitting boundary for transient wave analyses[J].Scientia Sincia(seriesA),1984,27(10):1063-1076.
[3]Liao Z P,H L Wong,B Yang,Y Yuan.A Transmitting Boundary for the Numerical Simulation of Elastic WavePropagation[J].Soil Dyn.&Earthq.Eng.,1984,(3):174-183.
[4]Deeks A J,Randolph M F.Axisymmetric time-domain transmitting boundaries[J].Journal of Engineering Mechnics,ASCE,1994,120(1):25-42.
[5]刘晶波,吕彦东.结构-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):55-63.
[6]Liu Jingbo,Lu Yandong.A direct method for analysis of dynamic soil-structure interaction based on interface idea[A].Dynamic Soil-Structure Interaction[C].Beijing:International Academia Publishers,1997.258-273.
[7]刘晶波,王振宇,杜修力,杜义欣.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):46-51.
[8]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.
[9]刘云贺,张伯艳,陈厚群.拱坝地震输入模型中黏弹性边界与黏性边界的比较[J].水利学报,2006,37(6):758-763.
[10]王海波,涂劲,李德玉.室内动力模型试验中辐射阻尼效应的模拟[J].水利学报,2004,(2):39-44.
[11]MSC Software Corporation.MSC.Marc 2003 Volume A:Theory and User Information[M].California:MSC SoftwareCorporation,2003.
[12]Wang H,Takemiya H.Seismic analysis of buried structures at alluvium[A].In:Proc.4th East Asia-pacific Conf.onStruct.Engrg.&Construction[C].Japan Tokyo:Tokyo Press,1993.1759-1764.
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