一类齿轮五杆轨迹同源机构的研究

Research on a Geared Five-bar Cognate Mechanism with Double Trajectories

借助于Roberts-Chebyshev定理,将曲柄摇杆轨迹同源机构的两曲柄分别用一双杆组代替,并要求双杆组满足一定的几何尺寸条件和运动条件,使变形后的机构为齿轮五杆机构,且满足机构的一个连架杆以及与其相连的连杆能够整周转动。通过对两机构间的几何关系分析和连杆平面上一参考点运动轨迹谐波成分分析以及机构运动仿真演示,证明了这两个机构为轨迹同源机构,并揭示了这种同源机构基本结构尺寸型间的内在联系。

Resorting to the Roberts-Chebyshev theorem, we replace the two cranks of a crank-rocker cognate mechanism with a double bar, which is required to satisfy certain geometrical and motion conditions, and we change the mechanism thus reformed into a geared five-bar mechanism so that one of its links can fully rotate with the link connected with it. The analysis of the geometric relationship between the two mechanisms and that of the harmonic components of the motion trajectory at a reference point on the plane of a link as well as the mechanisms′ motion simulation prove that the two mechanisms have cognate trajectories, and reveal the inherent relationship among the basic structural dimension types of the cognate mechanism of this kind.