Abstract
The two-point-collision steady-state motion has been well-known, and often considered to be the only possible form of steady-state motion relative to the pallet and star wheel mechanism.
Problems in this steady-state motion will lead to the solution of the quadratic equation, which is designated as the characteristic equation for two-point-collision steady state motion. In case the characteristic equation has a single positive root, this type of steadystate motion can exist. Various relationships as to the performance and characteristics of the mechanism have been derived assuming the existence of this pattern of steady-state motion.
Under a particular condition a motion is found in which intervals of time between collisions are identical. This is called the equiperiodic motion for which the relationships above stated can be simplified and expressed directly in terms of the geometrical and physical parameters, helping conceive a general idea concerning the effect of these parameters on the performance characteristics of the mechanism.
