The Analysis of 2-D Contact Stresses for Different Spur Gear Design Parameter

摘要

Gearing is one of the most critical components in mechanical power transmission systems. This work investigates the characteristics of an Involutes gear system including contact stresses. Current methods of calculating spur gear (Non-linear Analysis), contact stress using (Hertz's Equation), which were originally derived for contact between two cylinders. To enable the investigation of contact problems with Finite Element Method (FEM), the stiffness relationship between the two contacts areas is usually established through a spring placed between the two contacting areas. This can be achieved by inserting a contact element placed in between the two areas where contact occurs. A computer program was built up using (MATLAB 6.5). The results of the two dimensional FEM analyses from ANSYS are presented. These stresses are compared with the theoretical values (Hertz's equations). Both results agree very well. This indicates that the Finite Element Method (FEM) model is accurate. The results of contact stress analysis indicates that increasing the geometrical parameters(Pressure angle, number of teeth and module) lead to improve the tooth contact stress, with the contact position, because the increasing of the geometrical parameters will results in an increase of the tooth stiffness which leads to decrease the tooth contact stress.