行星轮点轨迹的图形分类与应用研究

行星轮上点的轨迹图形存在规则与无规则之分，各有对应的应用价值。通过建立行星轮上点的轨迹方程，令一个坐标在一个位置上的一至三阶导数同时等于零，得到了图形分类的基本关系，提出了规则正多边形、规则正多角形、多圈回归螺旋形与环状相邻缠绕形的设计条件，为设计规则图形、在一个行程单极限位置或双极限位置作高阶停歇的机构、多个行程单极限位置或双极限位置作高阶停歇的机构提供了理论基础。

Figure Classification and Application Research of the Point Locuson Planetary Gear

Locus figures of the point on the planetary gear distinguish regular from irregular figures and they all have corresponding application value. Basic relation of figure classification is got by setting up locus equation of the point on the planetary and letting one to three order differentials of one coordinate on one position all be zero. The design conditions of the regular polygons with the same side and regular polygons with the same angle and recurrence spiral with many rings and adjacent convolution with loop are put forward. It provides a theoretical basis for designing the regular figures and high order intermittent mechanisms at one limit position or two limit positions with a single stroke and many strokes.