Dynamic response analysis of functionally graded gears

Abstract

In this study, dynamic response analysis of functionally graded gears (FGGs) has been performed using a 6-degree of freedom dynamic model. The pinion and gear are divided into homogeneous sub-domains of uniform thickness, conforming to the gear tooth profile. The material composition varies radially according to power-law gradation with metal at the innermost and ceramic at the outermost surface. Mesh stiffness and transmission error of FGGs have been evaluated using a finite-element-based numerical method employing contact analysis. Results show that for considered values of gradient index (GI), FGGs show a 10% to 50% reduction in mesh stiffness with a 30% to 60% reduction in weight compared to steel gears of exact specifications. Also, FGGs show a 4% to 12% reduction in dynamic factor and a 9% to 17% reduction in peak-to-peak displacement amplitude than steel gears over the selected values of GI.