Optimization of gear pair in planetary gearbox using topsis method

Abstract

The optimization process of the first gear pair in a planetary gearbox was conducted through the application of the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) method. In this study, considered input parameters were the gear width, module, and material of the gears, while the considered outputs were factor of safety from pitting SH and factor of safety from tooth breakage SF, for implementing the TOPSIS method. Based on the selected input parameters using the design of experiments, the L18 matrix was created to obtain results for the output values. The results obtained from the TOPSIS method indicate that the optimal parameters of the first gear pair, in terms of the safety factors SH and SF, are a gear width of 20 mm, a module of 2.25 mm, and a material of gears 16MnCr5. Also, the results of this research indicated that a significant reduction in the mass of the planetary gear was achieved. The use of the TOPSIS method in engineering, especially in planetary transmissions, is highly significant and beneficial to the industry. The aim of the TOPSIS method application is to improve the efficiency of planetary transmissions by reducing vibration, increasing component lifespan, and other. In addition, optimization can decrease production costs, particularly in the manufacturing processes of planetary transmissions. This involves selecting suitable materials, dimensions, mass, and manufacturing technology for the transmission. The TOPSIS method is also crucial for planetary transmissions designed for specific purposes and operating conditions as it helps in selecting the optimal combination of parameters to achieve maximum efficiency and reliability in those conditions. In this study, the TOPSIS method was applied in order to optimize the first gear pair, which transmits the highest load and power and is crucial for the reliable operation of the system. It has an impact on all other elements of the transmission, including second gear pair, shafts, bearings, and other. To obtain optimal values in terms of dimensions, mass, and reliability, the first gear pair was carefully optimized. The application of the TOPSIS method showed favorable results, reducing the mass of the gear pair by 20% compared to the gear pair before optimization. This, in turn, led to the reduction of the entire planetary gearbox mass, contributing significantly to its improved performance.