弹性地基板单元在ABAQUS中的开发与应用
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摘要
考虑横向剪切变形的任意四边形八结点弹性地基板单元是将Mindlin中厚板理论和Winkler假定相结合,并考虑地层与结构相互作用提出的。利用通用有限元软件ABAQUS所提供的用户自定义单元(UEL)接口,编制相应的接口程序,将此弹性地基板单元引入ABAQUS中,供其主分析模块调用计算。通过算例对所开发单元进行了验证,结果表明,本文所开发的弹性地基板单元是正确的、可靠的,具有较高的计算精度。同时,所提出的二次开发研究思路具有普遍性,对自定义单元的程序研制具有一定的参考价值。
The quadrilateral element of eight nodes for plate bending considering the transverse shear deformation is based on the Mindlin plate theory, Winkler assumption and the interaction between the formation and infrastructure. According to interface requirements for user-defined element (UEL) of ABAQUS, the corresponding UEL interface codes of ABAQUS are programmed, which will be called by the main analytical module of ABAQUS. Numerical simulations of elastic foundation plate tests are performed to verify the correctness of the compiled element. The results show that the developed element of elastic foundation plate is right, reliable and possesses high accuracy. Meanwhile, the provided basic procedures and programming essentials of the UEL redefining in ABAQUS is universal and can offer a reference for other developers.
The quadrilateral element of eight nodes for plate bending considering the transverse shear deformation is based on the Mindlin plate theory, Winkler assumption and the interaction between the formation and infrastructure. According to interface requirements for user-defined element (UEL) of ABAQUS, the corresponding UEL interface codes of ABAQUS are programmed, which will be called by the main analytical module of ABAQUS. Numerical simulations of elastic foundation plate tests are performed to verify the correctness of the compiled element. The results show that the developed element of elastic foundation plate is right, reliable and possesses high accuracy. Meanwhile, the provided basic procedures and programming essentials of the UEL redefining in ABAQUS is universal and can offer a reference for other developers.
引文
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[8]詹云刚,袁凡凡,栾茂田.纯摩擦型岩土介质本构积分算法及其在ABAQUS中开发应用[J].岩土力学,2007,28(12):2619-2625.
[9]贾瑞华,阳军生,马涛,等.既有管线下盾构施工地层沉降监测和位移加载数值分析[J].岩土工程学报,2009,31(3):425-430.
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[13]王元汉,邱先敏,张佑启.弹性地基板的等参有限元法计算[J].岩土工程学报,1998,20(4):8-10.
[14]石小平,姚祖康.弹性地基上四边自由矩形厚板的解[J].力学与实践,1986(2):19-23.
[2]蔡长安,严宗达.弹性地基上自由矩形厚板弯曲问题的Fourier级数解[J].贵州工学院学报,1992,21(2):90-100.
[3]侯密山,徐玉民.平行四边形板的弯曲问题[J].燕山大学学报,1991,15(1):77-86.
[4]彭立生,堂君.双参数地基上四边自由矩形厚板计算[J].武汉水利电力学院学报,1992,25(4):339-352.
[5]Henwood D J.Whiteman J R,YettramA L.Fourier series solution for a rectangular thick plate with free edges on elastic foundation[J].Numerical Methods in Engineer,1982,18(12):1801-1820.
[6]王春玲,黄义.弹性半空间地基上四边自由矩形板的弯曲解析解[J].岩土工程学报,2005,27(12):1402-1407.
[7]庄海洋,陈国兴,胡晓明.两层双柱岛式地铁车站结构水平向非线性地震反应分析[J].岩石力学与工程学报,2006,25(S1):3074-3079.
[8]詹云刚,袁凡凡,栾茂田.纯摩擦型岩土介质本构积分算法及其在ABAQUS中开发应用[J].岩土力学,2007,28(12):2619-2625.
[9]贾瑞华,阳军生,马涛,等.既有管线下盾构施工地层沉降监测和位移加载数值分析[J].岩土工程学报,2009,31(3):425-430.
[10]朱伯芳.有限单元法原理与应用[M].北京:中国水利水电出版社,2004.
[11]Owen D R J,Hinton E.Finite elements in plasticity,theory and practice[M].Swansea:Pineridge Press,1980.
[12]吴波.弹性地基上不规则厚板的荷载应力分析[J].重庆交通学院学报,1992,11(4):1-9.
[13]王元汉,邱先敏,张佑启.弹性地基板的等参有限元法计算[J].岩土工程学报,1998,20(4):8-10.
[14]石小平,姚祖康.弹性地基上四边自由矩形厚板的解[J].力学与实践,1986(2):19-23.
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