Computer aided evaluation of gear tooth stresses by finite element method

ABSTRACT COMPUTER AIDED EVALUATION OF SPUE GEAR TOOTH STRESSES BY FINITE ELEMENT METHOD EYERCIOGLU, Omer M.S. in Mechanical Engineering Supervisor : Assoc. Prof. Dr. I. Hüseyin FÎLIZ August İ990 In this thesis, the spur gear tooth stresses are evaluated by using Finite Element Method. For this purpose a Finite Element Stress Analysis (FESA) package is developed. The first stage of this study is the modeling of a spur gear and a rack teeth by taking the physical structures of them into account. The spur gear and rack profiles are automatically generated by the program. The value of force and the location of it are dependent on the user's choice. The program gives three option to the user for the determination of forcing point. These are ; tip loading, the highest point of single tooth contact or any other point that is given by user. The location of the highest point of single tooth contact is determined by the program itself. Gauss elimination with back substitution method is used for solving the systems of equations. mWith the developed program, several runs are made for different spur gears. The obtained results are compared with previous works. Additionally, the distribution of stresses on the tooth surface and along the weakest section are demonstrated. The effects of gear parameters on stresses are inspected and presented graphically. Key words : Computer Aided Design, Finite Element, Involute gear, gear tooth stresses. IV