Spur Gear Profile Modification for the Reduction of Static Transmission Error

In the present study, the effect of tooth profile modifications on the static transmission error is investigated. The most important factor for investigating noise between two gears is the transmission error. First, the static transmission error is analytically calculated by estimating tooth compliance. The compliance of gear is calculated considering tooth as cantilever beam deflection; rigid body tooth rotation at its base and Hertzian contact. After estimating the static transmission error, tooth profile is modified in four ways: tip relief on the gear teeth only, tip and root relief on the gear teeth only, tip relief on both the gear and pinion teeth and tip and root relief on both the gear and pinion teeth. The results indicate the tip and root relief on both the gear and pinion tooth is the best way for transmission error reduction