任意四边形精化不协调薄板单元及其几何不变性

Refined nonconforming quadrilateral thin plate elements and their geometric invariance

按精化不协调元方法建立了收敛的Ｃ１类不协调任意四边形十二参数薄板单元ＲＱＰ１２和具有三个内部参数的单元ＲＱＰ１５．数值结果表明，建立的单元精度很高．讨论了基于直角坐标系下插值的不协调元的几何不变性问题．

Based on the refined nonconforming method, the C 1 nonconforming quadrilateral thin plate elements RQP12 and RQP15 are established respectively. The numerical results are used to show that present elements possess high accuracy and satisfy the requirement of convergence. This paper also involves the discussion of the geometric invariance of nonconforming elements attained by interpolation in rectangular coordinates.