Models for the Influence of Transmission Errors and Hobbing Forces Upon a Complex Gear Drive

The paper describes a theoretical research approach that performs a dynamic study upon a complex gear transmission. The transmission errors of the gears from the considered complex gear drive are considered when kinematics is analyzed and presented. The cutting forces from a gear hobbing process, possibly driven by such a complex gear transmission, are considered when parameters of the dynamic model are mathematically evaluated and presented. The proposed model development includes the obtaining of the differential equation for kinetic energy. Some discussions are also made regarding the studied complex mechanism. Practically, mathematical models for the influence of transmission errors and hobbing forces upon the considered complex gear drive are proposed as deliverable results of the study. Final conclusions are also included in the paper. The aspects discussed in the paper are presenting utility for the design of such mechanisms or for calculating the parameters of some gear hobbing processes.