Theoretical Peculiarities Regarding the Definition and Representation of the Rolling Surfaces for Chain Transmission

Knowing the wide use of the chain transmission, this article focuses on the computing of the theoretical rolling surfaces of sprocket when it is coupled with a roller chain. The sprocket tooth profile is defined as the envelope of the roller circle manifold defined through the relative motion between the sprocket and the chain. The equation of meshing is computed using two different ways. The paper shows an important peculiarity of the mathematical model, those of the importance of both solutions of the equation of meshing, in opposition with most cases in gearing theory where usually only one solution is applicable.