中文摘要：

基于一种改进的切片法,实现了含齿面误差时圆柱齿轮副静态传递误差的快速计算。将传递误差分离为齿轮综合变形及综合啮合误差两部分,研究了理想齿轮和含误差齿轮传递误差的变化规律。分析结果表明,理想齿轮副的传递误差与载荷和理论接触线长度相关。在相同载荷条件下,当轴向（或端面）重合度在整数附近时,传递误差波动量最小;而当斜齿轮总重合度在整数附近时,传递误差波动量最大。对有误差齿轮副,不同载荷时的啮合刚度和综合啮合误差曲线均与实际接触线长度曲线基本一致;轻载时影响传递误差的主要因素为齿轮误差,而重载时的主要影响因素为齿轮变形。研究结论可为齿轮系统传递误差及减振设计提供一定的理论指导。

英文摘要：

Based on a modified thin slice method,the static transmission error of cylindrical gear pair with tooth surface error is calculated efficiently. The transmission error is separated into composite deformation and composite mesh error,and the change of transmission error for gears with and without errors is studied. The results show that the transmission error of the ideal gear pair is related to the applied load and the theoretical contact length. Under the same loading condition,the transmission error will have local minimum fluctuations when the overlap（ or transverse） contact ratio is close to integers,while it will have local maximum fluctuations when the total contact ratio of a helical gear pair is close to integers. For a gear pair with tooth surface errors,the mesh stiffness,the composite mesh error and the actual contact length in a mesh cycle are similar to each other.The transmission error produced by gear errors is the crucial factor in light loading,while the tooth deformation becomes dominating in heavy loading. The conclusion can provide some references for the design of transmission error and vibration reduction of gear systems.