Reissner-Mindlin板的Z-Z矩形元的改进  

Improvement of the Z-Z rectangle element for the Reissner-Mindlin plate

作　　者：胡兵[1] 闵心畅[1] 徐友才[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2010年第3期457-460,共4页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(10771150)

摘　　要：在分别引入剪应力作为独立变量和引入剪应力和弯矩分别作为独立变量的基础上,作者将求解Reissner-Mindlin板问题的Z-Z矩形元作了一些改进,构造了两组Reissner-Mindlin元—CHRM(Z-Z)及CHRM(0,Z-Z),阐述了CHRM(Z-Z)元和Z-Z矩形元的关系以及弯矩独立变量的引入对精度提高的促进作用.Based on the introduction of shear stress as an independent variable, and the introduction of shear stress and moment as independent variables respectively, this paper improved the Z-Z rectangle element for the Reissner-Mindlin plate, proposed two plate elements-CHRM（Z-Z） and CHRM（0, Z-Z）, expatiated the relationship between CHRM（Z-Z） and Z-Z and the promotion action for the higher precision of the bilinear element by the introduction of independent moment variables.

关 键 词：Reissner—Mindlin板 Z—Z矩形元 CHRM(Z—Z)及CHRM(0  Z—Z) 

分 类 号：O241.82[理学—计算数学]