多级传动误差影响下齿轮结构优化设计方法

Optimal Design Analysis of Gear Structure Parameters Under Error Excitation of Multistage Transmission

摘要: 针对多级传动条件下齿轮运行性能难以满足要求的问题，设计了4种齿轮副腹板优化方案(直类、斜类A-30º、斜类B-20º、斜类C-10º)，建立了多点接触啮合的有限元模型，开展了多级传动条件下的静态接触分析，根据齿面接触应力与齿根弯曲应力计算结果，实现了齿轮腹板几何结构的优化设计。在此基础上，设定了4种齿顶或齿根齿廓方向偏差修形量，完成了单双齿啮合运行时的时变啮合刚度特性分析。结果表明：相比于斜腹板齿轮结构，直腹板结构的静态接触性能更优；优化设计后的传动齿轮结构的齿面接触应力、齿根弯曲应力更低，多级传动条件下的时变啮合刚度显著减少，降低了磨损风险提升了附件传动齿轮的工作性能。

Abstract: Aiming at the problem that the operational performance of single and double tooth meshing is not up to the requirement under the coupling excitation of multi-stage transmission errors, this paper designs four web optimization schemes (straight, helical A-30º, helical B-20º, helical C-10º) for the gear pair. The corresponding multi-point contact meshing finite element model is established, the static contact analysis is carried out and the distribution of relief and bending stresses is obtained, and the optimal choice of the optimization scheme is determined sequentially. The multi-stage transmission error is reflected in the tooth profile boundary offset, and four transmission error modification schemes are set to analyze the time-varying meshing characteristics of single- and double-tooth mesh operation. The results show that the static contact performance of the straight web structure is better; the multi-stage transmission error excitation effect can reduce the wear risk of single and double tooth mesh operation and improve the service performance. The optimized design of the transmission gear structure can better improve the working performance of the accessory transmission gear.