Optimization of planetary gear systems by means of genetic algorithm

Effect of tooth profile modifications on dynamic behaviour of the planetary gear systems is analysed in this study. A nonlinear 2D lumped mass model of planetary gear system with time varying mesh stiffness, bearing compliance and non-smooth nonlinearity due to the backlash is taken into account. Genetic Algorithm (GA) is used to find the optimum profile shape of each element of the planetary gear system and the goal is to optimize the total static transmission error of the gearbox. The comparison between vibrations of the optimized and pure involute gear sets is performed in order to evaluate the effectiveness of the proposed method for optimization of the planetary gear systems