螺旋线偏差对圆柱齿轮副振动的影响规律研究

摘要

综合计入时变啮合刚度激励、误差激励和啮入冲击激励，建立了圆柱齿轮副弯扭轴耦合动力学模型，分析了不同形式螺旋线偏差对直齿轮副和斜齿轮副振动的影响规律。结果表明，螺旋线偏差对直齿轮副振动几乎不产生影响，但对斜齿轮副振动影响显著，其中中凹螺旋线齿轮的振动最大；负螺旋角偏差齿轮振动次之；在多数载荷情况下，正螺旋角偏差齿轮的振动要小于理想螺旋线齿轮；中凸螺旋线齿轮的振动最小。因此，螺旋线偏差在分析直齿轮副振动时可以忽略，但在分析斜齿轮副振动时则需要计入才更为合理。%A transverse-rotational-axial coupled dynamic model for cylindrical gear pairs was built,considering the excitations of time-varying mesh stiffness,gear error and meshing impact.And the effects of helix deviation on the vibration of spur and helical gear pairs were investigated.The results show that the helix deviation has little effects on the vibration of spur gears but has remarkable influences on the vibration of helical gears.The concave helix always brings the largest vibration,and the negative helix angle errors induce smaller dynamic loads than the concave helix.Under most load conditions,the positive helix angle errors bring a smaller vibration than the ideal helix does and the convex helix gives the smallest vibration among all.Therefore,the helix deviation can be neglected when studying the dynamic responses of spur gears but should be taken into account when studying the dynamic responses of helical gears.