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四节点基面力元(BFEM)模型计算性能研究
引用本文:侯秋喜,孙占青,董占龙.四节点基面力元(BFEM)模型计算性能研究[J].黑龙江工程学院学报,2010,24(2):44-47.
作者姓名:侯秋喜  孙占青  董占龙
作者单位:北京工业大学,建筑工程学院,北京100124 
摘    要:在单元柔度矩阵表达式的基础上,依据已推导出的空间任意多面体单元柔度矩阵的具体表达式和利用La-grange乘子法推导出的以基面力为基本未知量的线弹性问题的余能原理有限元控制方程的张量表达式及节点位移表达式,以四节点四边形单元应用为例,通过大型有限元软件ABAQUS对比该算法与传统位移有限元法的精确性和稳定性。

关 键 词:基面力  余能原理  有限元  线弹性  ABAQUS

Research on four-node plane element based on base force
HOU Qiu-xi,SUN Zhan-qing,DONG Zhan-long.Research on four-node plane element based on base force[J].Journal of Heilongjiang Institute of Technology,2010,24(2):44-47.
Authors:HOU Qiu-xi  SUN Zhan-qing  DONG Zhan-long
Affiliation:(College of Architecture and Civil Engineering,Beijing University of Technology,Beijing 100124,China)
Abstract:Based on the expression of element compliance matrix derived by Gao YC(2003) and the specific expression of spacial arbitrarily polyhedron element compliance matrix,using the tensor and node displacement expression by linear complementary finite element control equation expressed by the base force derived by Lagrange multiplier method,the paper taking four-node bilinear plane stress quadrilateral for example,contrasts the accuracy and stability of this method and traditional displacement finite element by ABAQUS.
Keywords:ABAQUS
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