面积坐标法构造含转角自由度的四结点膜元  

CONSTRUCTION OF QUADRILATERAL MEMBRANE ELEMENTS WITH DRILLING DOF USING AREA COORDINATE METHOD

作　　者：陈晓明[1] 龙驭球[1] 须寅[1] 

机构地区：[1]清华大学土木工程系,北京100084

出　　处：《工程力学》2003年第6期6-11,共6页Engineering Mechanics

基　　金：国家自然科学基金资助项目(10272063);高等学校博士点基金资助项目;清华大学基础研究基金资助项目(JC2002003)

摘　　要：以四边形面积坐标作为工具,构造了两个含转角自由度的广义协调四边形单元AQ4和lAQ4。它们通过强式分片检验,与同类单元相比,具有很高的计算精度,能消除梯形闭锁现象,有很强的抗网格畸变的能力。Two generalized conforming quadrilateral membrane elements with drilling degree-of-freedom named AQ4 and lAQ4 are developed. In the formulation, the quadrilateral area coordinates are used instead of the isoparametric coordinates. Both elements pass the strict patch test and their convergence is assured. Numerical examples show that the proposed elements exhibit better efficiency and accuracy than other elements. Both elements are insensitive to mesh distortion and lock-free for the MacNeal test problem of trapezoidal locking.

关 键 词：有限元 四边形面积坐标 广义协调 转角自由度 

分 类 号：TU311[建筑科学—结构工程]