双偏心套传动机械摆辗机摆头螺旋线运动轨迹的形成、变异与控制

根据摆辗机摆头结构特点,设计了内外偏心套传动矢量运动模型,利用Matlab软件对异速同向双偏心套的运动轨迹进行了模拟仿真,当外偏心套转速ω_10,内偏心套转速ω20,且ω1≠ω2时,摆辗机摆头的运动轨迹为螺旋线型,阐述了一个周期内螺旋线空间曲线的形成规律,并对影响螺旋线的参数进行了分析。结果表明:螺旋线的起点位于(2R,0)处,运动周期为2π,在0~π时刻,摆头轴端中心点逐渐靠近轴心同时螺旋式上升;在π~2π时刻,摆头轴端中心点逐渐远离轴心同时螺旋式上升;螺旋线旋转的圈数为β或1/β真分数的分母和分子之差,β或1/β越小,螺旋线的重叠部分越少;β或1/β接近1,螺旋线的重叠部分越多。

Forming,variation and control on spiral trajectory of rocker of rotary forging machines with double eccentric sleeve transmission

For the structural characteristics of rocker of rotary forging, a vector motion model was designed for inner and outer double ec-centric sleeve, and the motion trajectory of double eccentric sleeve with different speeds and the same direction was simulated by Matlab software. When the outer eccentric sleeve speedω1 >0 and the inner eccentric sleeve speedω2 >0, as well asω1≠ω2 , the motion trajec-tory of rocker of rotary forging machine was a helical curve. Furthermore, the forming law of helix space curve during a cycle was expoun-ded, and the parameters influencing helix were analyzed. The results show that the starting point of helix locates at (2R, 0), and the mo-tion cycle is 2π. Thus, at the moment of 0-π, the center point of rocker shaft end moves backwards to the center of axis gradually and rises spirally, while at the moment of π-2π, the center point of rocker shaft moves towards to the center of axis gradually and rises spi-rally. The spin number of the helix is the difference between the numerator and denominator of the proper fraction ofβor 1/β. The smaller is β or 1/β, the less is the overlap, but when the β or 1/β is closer to 1, the more is the overlap.