Optimization of tooth modifications for multi-mesh helical gears in order to minimize transmission error: Robust optimization of profile and longitudinal modifications using Particle Swarm algorithm

摘要

The aim of this work is to build up tools allowing the optimization of teeth modifications for multi-mesh helical gears, which are crucial for the static transmission error (STE). The micro-geometrical parameters studied are crowning, tip relieves and start diameters for these relieves. The modifications have also to be adapted for a large torque range. The most influencing parameters are identified through a Taguchi's experimentation method. Optimization of added up STE amplitudes on the idler gear is done using heuristic method, i.e., the particle swarm method. Finally robustness of the solutions towards manufacturing errors and applied torque is analyzed in order to decide which tooth modifications to choose.