Abstract
Optimization of parameters of central gears of a planetary gearbox was performed in this study. Since the optimization of multi-performance characteristics is more complex compared to optimization of a single-performance characteristics, the Taguchi-Grey analysis was used. That approach combines the Taguchi orthogonal array L27 with the Grey relational analysis to determine the influence of the material, module and gear width on the safety coefficient of the planetary gearbox. A Grey relational grade obtained from the Grey relational analysis is used as the performance characteristics in the Taguchi method and Analysis of variance (ANOVA). The optimal combination of parameters for the safety coefficient values was obtained, when the value of the Grey relational grade is 1. Based on the ANOVA analysis, it was established that the most influential parameter is the module, then the gear width and the least influential one is the material.
Highlights
The planetary gear transmissions are widely used in industrial applications for motion and power transmission such as automotive, aerospace, robotics, machinery etc., because of their significant advantages including the compact structure, selfcentering capability, high power density, high transmission ratios, high degree of efficiency, durability in operation, low level of noise and vibrations
When there are multiple outputs, a combination of the Taguchi method and the Grey relational analysis is usually used for optimization
According to results of the Analysis of variance (ANOVA) analysis, the main contributing factors, affecting the safety coefficients for the surface durability of a planetary gearbox, were material, module and the gear width, with contributions of 10.09%, 68.17% and 18.02%, respectively
Summary
The planetary gear transmissions are widely used in industrial applications for motion and power transmission such as automotive, aerospace, robotics, machinery etc., because of their significant advantages including the compact structure, selfcentering capability, high power density, high transmission ratios, high degree of efficiency, durability in operation, low level of noise and vibrations. Level III C15E 3.00 36 needed for optimization of the EDM process because material removal rate is the higher-the-better performance characteristics and the surface roughness and electrode wear ratio are the lowerthe-better performance characteristics - improvement of one performance characteristics may require a degradation of the other performance characteristics This is the main reason that optimization of the multiple performance characteristics is much more complicated than optimization of a single performance characteristics. The Taguchi-Grey method has proven in this case that the machining performance in the EDM process can be effectively improved Another successful application of the Taguchi-Grey method was in the color filter manufacturing [11] for improving the yield of Chrome (Cr) thin-film sputtering process of the black matrix (BM) and to find the robust parameters of the process with multiple quality characteristics, as well. The planetary gearbox considered in this paper was chosen since it is the simplest one; the Taguchi-Grey method can be successfully applied for other types of planetary gearboxes that are more complex than the considered gearbox, with taking into account some restrictions
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