摘要
本文根据广义协调元的基本思路,引入常弯矩下的广义协调条件,导出具有九个自由度的薄板三角形第Ⅰ类广义协调元GcI-T9。其推导方法同通常的非协调元一样简单,可沿用常规方法加以实施。由于满足常弯矩下的广义协调条件,本单元可以保证通过分片检验。算例表明GCI-T9能以少的自由度得到好的计算精度。
Based on the concept of generalized conforming element [7], the generalized compatibility condition under constant moment is introduced and' a new version of the generalized conforming triangular element for thin plate with 9 degrees of freedom, GCⅡ-T9, is developed. The formulation is as simple as that of the conventional non-conforming element and it can be implemented in a routine manner. By satisfying the generalized compatibility condition under constant moments, the present element can always pass the patch test. High accuracy is obtained with less degrees of freedom.
