弧齿锥齿轮展成磨削工艺参数多目标优化

Multi-objective optimization of generating grinding process parameters for spiral bevel gears

  • 摘要: 齿轮磨削过程中,工艺参数的选择直接影响加工齿轮表面的质量和主轴振动。为获得齿轮表面质量和主轴振动最佳的工艺参数组合,采用响应曲面法(response surface methodology, RSM)设计了磨削试验,以砂轮线速度、展成速度和磨削深度作为优化变量,构建了以最小粗糙度、最低主轴振动和最大残余压应力为目标的多目标优化模型。提出了一种将多目标鲸鱼优化算法(multi-objective whale optimization algorithm, MOWOA)与层次分析法和优劣解距排序法(analytic hierarchy process-technique for order preference by similarity to an ideal solution, AHP-TOPSIS)相结合的优化决策方法,得到了排序后最理想解。实验结果表明,优化后的工艺参数可使磨齿时机床主轴振动加速度降低7.43%,并使磨削后的齿面粗糙度降低18.96%,残余压应力提升13.02%。

     

    Abstract: In the gear grinding process, the selection of process parameters directly affects the surface quality of the processed gear and the spindle vibration. To obtain the optimal combination of process parameters for the best surface quality of the gear and the lowest spindle vibration, a grinding experiment was designed using the response surface methodology (RSM), with the grinding wheel linear speed, generating speed, and grinding depth as the optimization variables. A multi-objective optimization model was constructed with the goals of minimizing surface roughness, minimizing spindle vibration, and maximizing residual compressive stress. An optimization decision-making method was proposed, integrating the multi-objective whale optimization algorithm (MOWOA) with the analytic hierarchy process (AHP) and the technique for order preference by similarity to an ideal solution (TOPSIS). The most desirable solution was obtained after ranking. Experimental results show that the optimized process parameters can reduce the vibration of the machine tool spindle during gear grinding by 7.43%, lower the surface roughness of the ground gear teeth by 18.96%, and increase the residual compressive stress by 13.02%.

     

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