考虑冲击与齿根应力的齿轮接触稳定性分析

Analysis of Gear Contact Stability Considering Impact and Tooth Root Stress

为研究齿轮冲击、运行工况等因素对齿根应力及齿轮接触稳定性的影响,阐明各因素间关联关系,应用能量守恒定理计算了变工况下齿轮啮合冲击力,并用修正后的齿根应力计算法对不同转矩下齿根应力进行计算。并以一对机匣齿轮为例,应用有限元法建立真实工况下齿轮动态啮合模型,计算齿轮动态接触力,与理论值进行对比,验证其合理性。随后分别分析不同工况对齿轮啮合冲击力、齿根应力与接触稳定性的影响,最后综合分析了转速、转矩、啮合冲击力、齿根应力之间关联关系,阐明了齿轮接触稳定性随工况变化的规律,为齿轮系统最佳工况选取及接触稳定性优化提供参考。分析结果表明:转矩变化会引起接触力、齿根应力与啮合冲击共同变化,其对接触稳定性的影响大于转速。

To study the effects of gear impact,operating conditions and other factors on tooth root stress and gear contact stability,and clarify the correlation between these factors,the gear meshing impact force under variable operating conditions was calculated by using the energy conservation theorem,and the tooth root stress under different torques was calculated by using the modified tooth root stress calculation method.Taking a pair of gearbox gears as an example,the finite element method was used to establish the dynamic meshing model of gears under real working conditions,the dynamic contact force of gears was calculated,and it was compared with the theoretical value to verify its rationality.Subsequently,the effects of different working conditions on gear meshing impact force,tooth root stress,and contact stability were analyzed separately.Finally,the correlation between speed,torque,meshing impact force,and tooth root stress was comprehensively analyzed,elucidating the law of gear contact stability changing with working conditions,providing reference for selecting the optimal working conditions and optimizing contact stability of the gear system.The analysis results show that the change of torque causes the joint change of contact force,tooth root stress and meshing impact,and its influence on contact stability is greater than that of speed.