- 期刊
Calculation of Tooth Surface Contact Stress and Tooth Root Bending Stress of the Asymmetric Gear with Double Pressure Angles Meshing Beyond the Pitch Point Based on Friction Between Teeth
基於齒面摩擦的雙壓力角非對稱齒輪節點外嚙合齒面接觸應力和齒根彎曲應力的計算
摘要
Advantages of asymmetric gear include larger load carrying capacity, smaller vibration and longer life. The vibration of the gear system due to the change of the direction of the friction force can be avoided when meshing beyond the pitch point happens. But the meshing mechanism of asymmetric gear with double pressure angles meshing beyond the pitch point is not yet known. In this paper, the basic theory of the asymmetric gear driving system meshing beyond the pitch point is developed. Through analyzing the forces exerted on the driving gear of reducing-speed asymmetric spur gear drive system meshing beyond the pitch point in single & double pairs teeth meshing range, the contact stress and bending stress on the pinion under the action of the sliding friction between teeth-are derived. It will be seen that the contact stress and bending stress of asymmetric gear drive system meshing behind the pitch point are lower than those of the symmetric gear drive system meshing behind the pitch point, under equal conditions. And the contact stress can be effectively reduced by tuning the pressure angle of driving side, modification coefficient on pinion, the modulus and the addendum coefficient on the coast side.
並列摘要
雙壓力角非對稱齒輪具有承載能力大、振動小、壽命長等優點。一系列的研究表明，對稱齒輪節點外嚙合可避免由於摩擦力方向的改變所引起的齒輪傳動系統的振動。截至目前，雙壓力角非對稱齒輪節點外嚙合傳動的工作機理尚未可知。本文首先給出了雙壓力角非對稱齒輪節點外嚙合傳動的基本原理。然後以一對雙壓力角非對稱減速直齒圓柱齒輪節點外嚙合傳動系統為研究物件，在建立輪齒受力模型的基礎上，通過對單、雙齒嚙合區域進行受力分析，推導出齒面摩擦下，主動小齒輪的齒面接觸應力和齒根彎曲應力的計算公式。研究發現，同等條件下，雙壓力角非對稱齒輪節點後嚙合的齒面接觸應力和齒根彎曲應力均小於對稱齒輪的。進一步的研究還表明，為了有效地降低齒面接觸應力，可採取調整工作側壓力角、小齒輪的變位係數、模數和非工作側齒頂高係數等措施。