Prediction of Specific Energy in High Speed Cylindrical Grinding of 40CrNiMoA
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摘要: 采用正交试验法研究干磨和湿磨方式下砂轮线速度、工件转速、磨削深度对合金钢40CrNiMoA高速外圆磨削比能的影响,并建立基于BP神经网络的磨削比能预测模型,最后对预测结果进行验证。结果表明:合金钢40CrNiMoA高速外圆磨削比能随砂轮线速度增大呈现先增加后减小的趋势,随工件转速、磨削深度的增大而减小,工件转速对磨削比能的影响程度最大;湿磨方式的磨削比能比干磨方式的小。在试验工艺参数范围内,当砂轮线速度为60 m/s、工件转速为125 r/min、磨削深度为40 μm时,磨削比能最小;预测模型的预测值与试验结果的绝对误差小于10%,表明BP神经网络预测模型是有效的。Abstract: According to the orthogonal experiment in the high speed cylindrical grinding under dry and wet modes, the influence of the grinding wheel linear speed, workpiece rotate speed and grinding depth on the specific energy of 40CrNiMoA was studied. The model for predicting the specific energy of grinding was established based on the BP neural network, and the prediction results were validated. The results show that the specific energy of grinding increases first and then decreases with the increasing of grinding wheel linear speed, and it decreases with the increasing of workpiece rotate speed and the grinding depth. The workpiece rotate speed has the greatest influence on the specific energy of grinding. The specific energy of grinding in wet mode is smaller than that in dry mode. For the range of process parameters in the experiment, when the grinding wheel linear speed, the workpiece rotate speed and the grinding depth are 60 m/s, 125 r/min and 40 μm, separately, the specific energy of grinding is the smallest. The absolute errors between the predicted value and the experimental are less than 10%, which shows that the prediction model based on the BP neural network is effective.
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Key words:
- 40CrNiMoA /
- high speed cylindrical grinding /
- orthogonal experiment /
- specific energy /
- prediction
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表 1 正交试验因素水平表
因素 参数/单位 水平 1 2 3 4 A vs/(m·s-1) 60 90 120 150 B vw/(r·min-1) 50 75 100 125 C ap/μm 10 20 30 40 表 2 正交试验方案
编号 因素 A B C 1 1 1 1 2 1 2 2 3 1 3 3 4 1 4 4 5 2 1 2 6 2 2 1 7 2 3 4 8 2 4 3 9 3 1 3 10 3 2 4 11 3 3 1 12 3 4 2 13 4 1 4 14 4 2 3 15 4 3 2 16 4 4 1 表 3 高速外圆磨削正交试验结果
编号 干磨 湿磨 PE/W PT/W SEG/(J·mm-3) PE/W PT/W SEG/(J·mm-3) 1 5 462.423 6 014.520 15.417 8 098.346 8 412.895 8.784 2 5 530.664 6 711.263 10.989 7961.715 8 536.396 5.349 3 5 714.640 7 286.054 7.314 8 112.038 8 893.785 3.638 4 5 614.028 7 515.663 5.310 10 367.266 11 541.759 3.280 5 5 750.739 6 882.819 15.807 7 985.829 8 720.928 10.264 6 5 665.352 6 558.859 16.634 8 439.756 9 001.265 10.453 7 5 609.416 7 826.232 7.738 9 340.867 10 628.412 4.494 8 6 212.147 7 890.667 6.250 8 284.150 9 264.854 3.651 9 6 074.769 8 044.098 18.331 8 667.361 9 993.287 12.342 10 6 020.220 8 438.991 11.257 9 554.067 11 401.879 8.600 11 5 778.356 6 867.941 15.213 9 209.878 9 939.591 10.189 12 5 705.449 6 934.444 6.864 8 740.058 9 712.387 5.430 13 6 945.482 9 064.753 14.795 9 582.218 11 115.396 10.703 14 6 845.512 8 455.027 9.988 10 012.609 11 259.656 7.739 15 6 729.604 8 232.459 10.492 9 689.972 10 747.351 7.382 16 6 040.234 7 088.095 11.705 9 880.640 10 657.807 8.681 表 4 干磨正交试验极差分析
因素 k1 k2 k3 k4 R A 9.758 11.607 12.916 11.745 3.159 B 16.088 12.217 10.189 7.532 8.555 C 14.742 11.038 10.471 9.775 4.967 主次顺序 vw>ap>vs 表 5 湿磨正交试验极差分析
因素 k1 k2 k3 k4 R A 5.263 7.216 9.145 8.626 3.878 B 10.523 8.035 6.426 5.261 5.263 C 9.527 7.106 6.843 6.769 2.758 主次顺序 vw>vs>ap 表 6 traincgf函数的相关训练参数
训练参数 取值 最大训练次数 5 000 学习率 0.000 1 显示训练迭代过程 25 训练要求精度 0.000 01 表 7 干磨磨削比能预测值与试验值对比
编号 因素 预测值/(J·mm-3) 试验值/(J·mm-3) 绝对误差/% A B C 1 150 50 10 24.896 22.738 9.491 2 120 50 10 24.509 22.841 7.303 3 60 125 10 13.171 12.612 4.432 表 8 湿磨磨削比能预测值与试验值对比
编号 因素 预测值/(J·mm-3) 试验值/(J·mm-3) 绝对误差/% A B C 1 150 50 10 14.679 14.341 2.357 2 120 50 10 13.355 14.125 5.451 3 60 125 10 6.342 6.572 3.500 -
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