Bending Stress Analysis for Spur Gear (2D Analysis)

This report is to study the characteristics of involute gear system including bending stress and transmission errors of gears in mesh. Gearing is the most critical components in mechanical power transmission systems. Transmission error measurement has become a popular area of research on gears as it is related with a possible method for quality control. Transmission error is considered to be one of the main factors that contribute to noise and vibration in a gear set. Hence, to estimate the transmission error in a gear system, the characteristic of involute spur gears were analyzed by using the finite element method. Before proceed with simulation, the gears are drew by using CATIA P3 V5R12. Fives model of spur gear are design by into 3D and 2D models. The bending stress in the tooth root was analyzed by using 2-D FEM models. The simulation of 2-D FEM models was done by using ANSYS 14.0. In order to enable the investigation of contact problems with FEM, the stiffness relationship between the two contact areas is established by inserting a contact element placed in between two areas where contact occurred. Besides that, current analytical method of calculating gear bending stresses use Lewis equations, which were originally derived for bending stress of the contact between a pair of tooth. However for this project, we will vary the number of module of gear with fix pressure angle and number of teeth. Then, the result with different number of module will be related with the bending stress. The results of the two dimensional FEM analysis from ANSYS are presented. The bending stresses were compared with different number of gear module system. In the past, the bending stress sensitivity of a gear tooth has been calculated using photo elasticity or relatively coarse FEM meshes. However, with present computer developments we can make significant improvements for more accurate FEM simulations. In this report the effect of module number of gear design is considered and how the contact stress results vary with these parameters is studied. The gear design is optimized based on FEM analysis.