基于欧拉角的万向联轴节速比关系推导
首发时间:2007-10-23
摘要:根据欧拉角在右手坐标系中推导的万向联轴节两轴之间转速关系,可修正教材中的公式。以主动轴为研究对象,求得在既定位置中间十字头上某点的坐标,再根据中间十字头的特点,求得从动轴某点的坐标,从而确定从动轴的转角,进而得出主动轴与从动轴的位置关系,再而通过求导得到两轴的速比关系。计算结果表明当主动轴匀速转动时,从动轴的转速呈周期性变化,变化的幅值与两轴之间的夹角有关。
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The rotation angle relation of universal joint based on Eulor’s Angle
Abstract:The getting rotation angle relation can correct the formula in teaching material in the right-hand ordinarate system. For the initiative shaft, a coordinate of a point is gotten. Then the coordinate of other point on crosshead is gotten. Then the angle of shaft can be gotten. Then the rotation angle relation between two shafts is gotten. Helping to derivative, the rotation velocity relation is gotten. The computational result shows that the rotation velocity of driven shaft is changed periodic while the initiative shaft is rotating equably. The breadth of rotation ratio is upping with the accretion of the angle between two shafts.
Keywords: multibody dynamics, universal joint, simulation, Machine Principle, crosshead
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No.1586810486211931****
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