行星轮上点轨迹的图形特征与虚拟实验

行星轮上点的轨迹存在很多形状与应用价值,基于数学分析与VB编程以及参数化的方法,得到了规则正多边形、规则正多角形、多叶玫瑰线、多圈回归螺旋线、环状相邻缠绕线与无限不循环曲线等几何图形,充分展示了行星轮上点轨迹的图形特征,为设计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。表明了虚拟实验用于揭示因素完全可控对象的客观规律上的优越性。

Figure Feature and Virtual Experiment of the Point Locus on Planetary Gear

Based on mathematical analysis and VB program and parametric method,the regular polygons with the same side and regular polygons with the same angle and rose curve with many leaves and recurrence spiral with many rings and adjacent convolution with loop and infinite no circulation curve were got.It sufficiently shows figure features of the point locus on the planetary gear.It provides a theoretical basis for designing high order intermittent mechanisms at one limit position or two limit positions with a single stroke and many strokes.It is indicated that virtual experiment has superiority in revealing objective laws of the object studied with factors controlled completely.