Description of Timing Belt Coupling Using a Pendulum with Variable Coupling Point

In the description of the process of coupling of pulleys with the toothed belt often existing solutions are used. Depending on the application they are similar to flat belt, chain or hellical gears. Euler made a first approximation of the coupling by ratio of the stress of active and passive tendon in the form of an exponential function of the natural logarithm base. The exponent of this function contained a number of factors related to the material of belt and pulleys. The coupling takes place at successive coupling of the teeth and its nature depends on both the material and the geometry of the teeth. The most appropriate process used for a description of the motion is a pendulum with variable coupling point.