Drawing Analysis and Calculation of Root Transition Curves of Root Cutting Gears

Abstract

According to the parameters and geometric dimensions of the gear, the parametric equations of the transition curve and involute line of the root cutting gear are established based on the principle of machining the gear with the generating method, the tooth shape diagram of the root cutting gear is accurately drawn, and the minimum chord tooth thickness and maximum root cutting radius are accurately calculated with the Matlab software. It provides a reliable basis for establishing the finite element model of the root cutting gear, quantifying the relationship between the bending fatigue strength and the displacement coefficient of the root cutting gear, determining the best displacement coefficient of the root cutting gear, and studying the feasibility of the use of the root cutting gear in the industrial production.

Keywords

• Root cutting gear;Transition curve;Extended involute line;Equidistant curve