Novel Meshing Stiffness Model for Spur Gear Pairs considering the Temperature Effect

This work studied the effect of temperature on gear stiffness in the full temperature range which contained thermal expansion and cold shrinkage. Considering the temperature effect, a meshing stiffness model for spur gear pairs in the full temperature range was established based on the conservation of energy. The general calculation formula for the gear pair’s temperature meshing stiffness in the full temperature range was derived. The influence of addendum modification and gear temperature distribution on gear stiffness was studied. Thereafter, the proposed model was verified experimentally. The results revealed that the temperature stiffness was smaller than the standard stiffness of the gears in the full temperature range. When the temperature of the gears increased from an initial temperature, which was lower than the standard temperature, the temperature stiffness of the gear first increased and then decreased. Moreover, the obtained results could provide theoretical support for an accurate dynamic analysis of gear transmission systems in the full temperature range.