航空弧齿锥齿轮承载传动误差的分析与设计

在计算时变啮合刚度的基础上,推导了承载传动误差简化计算公式,并与有限元计算方法进行了比较,表明两种计算方法得到的承载传动误差的幅值、形状及一阶频谱幅值随重合度的变化趋势基本一致.根据承载传动误差简化公式定性的分析了负载扭矩与实际重合度的关系、承载传动误差的变化规律、齿面印痕和几何传动误差对承载传动误差的影响.最后根据分析结果,提出基于承载传动误差的齿面优化设计的优化策略,优化变量为接触迹线的角度、几何传动误差的幅值,优化目标为承载传动误差在较宽的负载范围内波动最小.

Design and analysis of loaded transmission errors for aviation spiral bevel gears

Loaded tooth contact analysis is an important technique for analyzing the meshing performances under load.The known algorithms can't be concerned with the tooth surface design directly because of a great deal of calculation,iteration or equations.A new simplified formulation was thus proposed based on application of the time varying stiffness.The transmission errors under loads were calculated by the developed formulation and finite element method,respectively.The results for the two methods were compared with respect to the magnitude,shape and 1st component of frequency spectrum of loaded transmission errors,and showed good agreement.The developed formulation was used to study the relationship of real contact ratio and load,the law of the loaded transmission errors versus real contact ratio,and the effect of contact pattern,transmission errors on loaded transmission errors.The analysis results provide the theoretical bases for the optimization strategy to tooth surface design of spiral bevel gear.The calculation of the loaded transmission errors is embedded to constitute the design route in the courses of the optimization.The design variables include contact path orientation and magnitude of transmission error;the objective of optimization is that the magnitude of the loaded transmission error fluctuates less under wide load ranges.