A kinematic analysis has been developed for the motion of roller chain drives, which is exact for relatively slow-speed chain drives with new chain. The results shed new light on chordal or polygonal action, and the associated impact velocity and motion fluctuation of the chain as a function of chain geometry. The results have also revealed the existence of a remarkable degree of sensitivity of chain performance with respect to center distance. The results also show that the unevenness of the motion of driven sprocket exists for worn chain. This in turn provides a new opportunity for the optimization of chain performance both in the design stage, as well as during installation and maintenance.;A dynamic analysis has been developed of a universal joint with manufacturing tolerances. The results permit the determination of bearing forces under high-speed operation in the design stage.
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