平面Ⅲ级杆组构形研究

The research for new types of planar 3-Level assur's group

运用“可能域”的概念建立起模型空间,得到平面Ⅲ级杆组的所有可能构形。再根据排列组合论和运动链同构判定的邻接矩阵法证明,在全转动副的基础上,含R、P副平面Ⅲ级杆组可演化成其它19种不同的构形。

Applying the concept of possible area to set up a model room, we can gained all possible types of planar 3 - level Assur＇s group involving rotation and prismatic pairs. According to the theory of permutation and combination and,the adjacency matrix method for judging isomorphism of kinematic chains, it proved that nineteen types of planar 3 - level Assur＇ s group involving rotation and prismatic pairs can be evolved from a basic 3 - level Assur＇ s group with six rotation pairs.