An improved approach for tooth contact analysis of mismatched involute spiroid gears

Abstract

The theoretical contact type of involute spiroid gears (IS) is line contact. The line contact will be turned out into point contact, even edge contact, due to errors. An improved algorithm for tooth contact analysis of mismatched IS is presented. The algorithm can be generally applied to the gears with point contact, whether edge contact occurs or not. Three methods are used in the algorithm: clearance method, edge rule and numerical method. Edge rule is provided to predict the contact type. The numerical method is used to solve nonlinear equations to obtain the precise contact point and contact path. The guess point can be estimated by the clearance method or the known contact point near the solution. In addition, the clearance method with high precision is utilized to avoid the invalidation of numerical method to ensure the robustness. Finally, the proposed algorithm is applied to simulating the meshing of helical gears and IS. The results are compared with those obtained by published literature or finite element method to verify the accuracy and efficiency.