采用BEM和光弹试验证实齿根应力最小轮齿几何形状的优化

本文介绍了无因次齿轮轮齿的概念,用以使齿轮应力为最小的问题.与现有的其他方法比较,本质上减少了许多设计变量,所推荐的模型方法明显缩短了计算时间.代替承载齿轮轮齿模型和运行BEA在各个优化过程的迭代阶段去计算最大的齿根应力,该应力用表值插入法来计算.计算前采用BEM对无因次模型相应于不同的设计参数的组合.与传递相同转矩的标准齿轮的应力相比较,对优化方法和最佳齿根应力采用了复杂的算法.在这种方法内,可降低应力超过36.5%.该应力的降低,已经用两维光弹试验证实.

Optimum Gear Tooth Geometry for Minimum Fillet Stress Using BEM and Experimental Verification with Photoelasticity

This paper introduces the concept of nondimensional gear teeth to be used in gear stress minimization problems. The proposed method of modeling reduces the computational time significantly when compared to other existing methods by essentially reducing the total number of design variables. Instead of modeling the loaded gear tooth and running BEA to calculate the maximum root stress at every iterative step of the optimization procedure, the stress is calculated by interpolation of tabulated values, which were calculated previously by applying the BEM on nondimensional models corresponding to different combinations of the design parameters. The complex algorithm is used for the optimization and the root stresses of the optimum gears are compared with the stresses of the standard gears for the same transmitted torque. Reduction in stress up to 36.5% can be achieved in this way. This reduction in stress has been confirmed experimentally with two-dimensional photoelasticity.