Determining location radii of gear chain pivot locus on involute sprocket wraps

The methods of calculating the location radii of the gear chain pivot locus on the wraps of involute sprockets are suggested. The methods involve a step-by-step “placing” of the chain loops on the sprocket. To determine the chain joints location, surface equidistance of the operating and back tooth profiles which represent the chain pivot locus upon their contact with the sprocket tooth profiles is used. The location radii of the pivot locus on the involute sprocket wrap can be defined through the predetermined position of the first joint, the known length values of the gear chain contact link pitches, and the slack side pretension. The study results allow presenting the methods of calculating the gear chain pivot locus on the wraps of involute sprockets and the mathematical model algorithm of the chain gearing with involute sprockets. The methods can be used to determine setting of the chain belt with toothed chain providing the minimal wear-out of the gearing elements.