Spatial Motions I—Point Paths of Mechanisms With Four or Fewer Links

Abstract
Algebraic, geometric and some kinematic properties are derived for the paths generated by points on representative single degree-of-freedom spatial motions of four and fewer members. The motions considered are spherical rolling, spatial three-link motion, spherical four-bar motion, skew four-bar motion (three types), Bennett’s mechanism, and one type of spatial four-bar motion.

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