采用面积坐标和基于假设转角的薄板元  

TWO THIN PLATE ELEMENTS DEVELOPED BY ASSUMING ROTATIONS AND USING QUADRILATERAL AREA COORDINATES

作　　者：陈晓明[1] 岑松[2] 龙驭球[1] 

机构地区：[1]清华大学土木工程系,北京100084 [2]清华大学航天航空学院

出　　处：《工程力学》2005年第4期1-5,30,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(20020003044);清华大学基础研究基金资助项目(JC2002003);高等学校全国优秀博士论文作者专项基金项目(200242)

摘　　要：采用四边形面积坐标方法,从假设转角位移场入手构造了两个广义协调四边形4结点薄板单元AΨQ-I和AΨQ-II。通过采用边界协调条件一次项与二次项分别协调使转角场实现了三次完备。与DKQ等同类单元相比,单元的精度和抗网格畸变能力都有很大提高。Two 4-node, quadrilateral generalized conforming thin plate elements, AψQ-Ⅰand AψQ-Ⅱ, were successfully developed by directly assuming rotation field and using quadrilateral area coordinate method. By requiring low order and high order terms of the assumed rotation fields to be compatible with the corresponding terms of the boundary rotations, the element rotation fields achieve third order completeness. Comparing with the famous element DKQ constructed by the similar technique but using isoparametric coordinates, the two new elements are insensitive to mesh distortion and able to offer more accurate results.

关 键 词：有限元 假设转角 面积坐标 广义协调元 薄板 

分 类 号：O242.21[理学—计算数学]