基于灰色关联理论的弧齿锥齿轮磨削表面残余应力影响因素分析

Analysis of influencing factors of grinding surface residual stress in spiral bevel gear based on grey relational theory

  • 摘要: 为探究磨削后残余应力沿层深的变化规律,对弧齿锥齿轮磨削过程进行分析,采用虚拟格子法建立随机分布的多磨粒磨削弧齿锥齿轮模型,并设计单因素仿真方案。首先,设计三因素四水平的正交试验;其次,利用灰色关联分析法深入研究磨削参数对残余应力的影响,获得最优磨削参数组合;最后,建立关联度与磨削参数的预测模型,并验证其准确性。研究结果表明,磨削后的齿面呈现残余压应力状态,最大压应力位于次表层,随深度增加逐渐过渡为拉应力并最终趋于零;磨削参数对残余应力的影响排序为a_\mathrmp (磨削深度)>v_\mathrms (磨削速度)>v_\mathrmw (进给速度)。随着磨削参数的增大,齿面残余应力均有不同程度的增大。

     

    Abstract: In order to investigate the variation of residual stress along the depth after grinding, the grinding process of spiral bevel gear was analyzed. a randomly distributed multi-abrasive particle grinding model for spiral bevel gears was established using the virtual grid method, and a single factor simulation scheme was designedd. Firstly, a three-factor four-level orthogonal experiment was devised. Secondly, the grey relational analysis method was utilized to delve into the effects of grinding parameters on residual stress and obtain the optimal combination of grinding parameters. Finally, a prediction model between the degree of grey relational analysis and grinding parameters was established, and its accuracy was verified. The research findings indicate that the ground gear surface exhibits a residual compressive stress state, with the maximum compressive stress located in the subsurface layer. As the depth increases, the residual compressive stress gradually transitions to tensile stress and finally tends to zero at deeper levels. The effect of grinding parameters on residual stress is ranked as a_\mathrmp (grinding depth) > v_\mathrms (grinding speed) > v_\mathrmw (feed rate). With the increase of these parameters, the residual stress on the gear surface increases to varying degrees.

     

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