二次B样条平面单元  

Quadratic B-spline plane element

作　　者：杜守军[1] 夏亨熹[1] 韩春民[2] 

机构地区：[1]河北农业大学城乡建设学院,河北保定071001 [2]河北师范大学基建处,河北石家庄050000

出　　处：《河北农业大学学报》2002年第4期143-148,160,共7页Journal of Hebei Agricultural University

基　　金：河北省自然科学基金资助项目 ( 5 9914 5 )

摘　　要：以分段二次B样条函数的Kronecker乘积为基底 ,构造有限元子空间。在广义坐标下 ,采用与等参变换类似的方法 ,按照位移有限元模式 ,构造出一种 9结点协调平面单元 ;这种单元列式简单、求解精度高、可靠性好 ,尤其重要的是对单元网格畸变不敏感。为便于对不同单元进行比较 。In this paper, with the Kronecker product of the quadratic B-spline as the base of the element subspace, tacking advantage of the isoparametric transformation under the generalized coordinate, and following the traditional displacement F.E.M. procedure, the formulation and examples about a 9-nodes quadratic B-spline conforming plane element are presented. It is shown that the present element possesses the characteristics of high precision, reliable and easy to use, and the most important, less sensitive to mesh distortion. A definition named as Sensitive Factor(Sf) about the element to mesh distortion has been given to facilitate the compare between different elements.

关 键 词：平面单元 二次B样条 网格畸变 敏感因子 广义坐标 协调位移型有限元 

分 类 号：TU31[建筑科学—结构工程]