A Study on Multi-objective Optimization of a Two-Stage Bevel Helical Gearbox

The purpose of this study is to provide an inquiry into multi-target optimization of two-stage bevel helical gearboxes with the goal of identifying the ideal key design elements to decrease gearbox length and improve gearbox efficiency. To solve the problem, the Taguchi method and grey relation analysis (GRA) was employed in two phases. First of all, the single-objective optimization problem was solved to close the gap within variable levels, and then the multi-objective optimization problem was handled to find the optimal main design variables. The coefficients of wheel face width (CWFW) of the first and second stages, permitted contact stresses (ACS) of the first and second stages, and the gear ratio of the first stage were also established. The results of this study were used to determine the ideal values for five important design elements for creating a two-stage bevel helical gearbox.