不同形式齿廓偏差对直齿轮副振动的影响规律

摘要

Taking the error distribution of tooth surface into account,the mesh stiffness and composite meshing error were calculated based on a loaded tooth contact analysis model.The transverse-rotational coupled dynamic model for a spur gear pair was built considering excitations of time-varying mesh stiffness,gear error and meshing impact.Then,the effects of different tooth profile deviations (convex profile,concave profile,positive pressure angle errors and negative pressure angle errors)on the system vibration were investigated.The results showed that the concave profile always produces the largest dynamic load,and the profile with negative pressure angle errors for a driven gear brings a little smaller vibration than the concave profile does;under most load conditions,the positive pressure angle errors bring a smaller vibration than the negative ones do and the convex profile produces a smaller dynamic load than the ideal profile does.The results provided effective references for establishing the control principles of gear machining errors.%通过建立齿轮承载接触分析模型，计算了考虑齿面误差分布时齿轮的啮合刚度和综合啮合误差。综合考虑时变啮合刚度激励、误差激励和啮合冲击激励的影响，建立了直齿轮副弯扭耦合动力学模型，分析了不同形式齿廓（中凸、中凹、正压力角、负压力角）偏差对系统振动的影响规律。结果表明，中凹齿廓齿轮的振动最大；负压力角偏差齿轮作从动轮时振动仅次于中凹齿廓；在多数载荷条件下，正压力角偏差齿轮的振动要小于负压力角偏差齿轮，中凸齿廓齿轮具有比理想齿廓齿轮更小的振动。研究结果为进一步提出齿轮误差控制原则提供了有效参考。