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

Abstract

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. For the toothed belt transmissions, in which there is slack in the small loads such description is sufficient. Tension in timing belts are lightweight and very stretchy while the coupling between the belt and the pulley is a friction. After crossing the frictional load coupling occuring between the pulley teeth and belt becomes geometrical. 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.