形平板协调元构造

Quadrilateral plate compatible element construct

利用附加校正函数的方法,在矩形平板非协调元的基础上构造了矩形平板协调元,并推导出了单元刚度矩阵的表达式,并就四边简支和四边固支的平板在均布载荷作用下和集中载荷作用下的问题进行了计算。结果表明,采用该协调元在计算精度上与非协调元一致,采用较少的单元的计算结果即可与精确解符合得较好。

Based on the quadrilateral plate incompatible element, the quadrilateral plate compatible element was constructed with the method of the adhesive correction function and an expression of element stiffness matrix was derivated, which is used in a caculation for a plate supported from the plate＇ s four sides under the distribute and concentrated load. The result shows that the compatible element caculation method can aquire the same precision with incompatible element as well as with a few of elements.