直廓金刚石滚轮修整蜗杆砂轮的截形误差精确计算
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机械传动国家重点实验室2011年度开放基金资助项目(SKLMT-KFKT-201103);国家“十一五”科技支撑计划资助项目(2006BAF01B07201)


Error analysis of worm grinding wheel precise dressing by diamond roller with straight profile
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    摘要:

    用直廓截形代替金刚石滚轮理论截形的偏差影响精密蜗杆砂轮截形修整精度。分析了金刚石滚轮修整蜗杆砂轮的方法,建立了蜗杆砂轮修整数学模型,依据空间啮合理论和蜗杆砂轮螺旋面方程,计算金刚石滚轮理论截形。对该理论截形进行直线拟合,计算了拟合直线与理论截形之间的拟合误差及拟合误差对蜗杆砂轮法截面廓形的影响。对一种单头蜗杆砂轮的精密修整进行截形和误差计算,分析了蜗杆砂轮直径与金刚石滚轮直径大小对蜗杆砂轮法截面修整误差的影响。结果表明:修整误差值随着蜗杆砂轮直径、金刚石滚轮直径的减小而增大,金刚石滚轮直径对修整误差影响较小。验证了直廓金刚石滚轮修整蜗杆砂轮的可行性,可用于指导确定蜗杆砂轮修整工艺。

    Abstract:

    In worm grinding wheel dressing with diamond roller, using straight line instead of theoretical curve of roller will result in dressing error. Method of the precise dressing is studied, while the mathematical model is presented. Theoretical curve of diamond roller is calculated based on the space meshing theory and helicoid equation of worm grinding wheel. The fitting error between the theoretical curve and approximate straight line which is obtained by the theoretical curve is calculated. The dressing error on normal section of worm grinding wheel is analyzed. The case study of a kind of worm grinding wheel with single head shows that the dressing error increases with diameter decreasing of worm grinding wheel and diamond roller, while the variation of diamond roller’s diameter makes little contribution. The validity of worm grinding wheel dressing using straight line diamond roller is proved, and the algorithm can be used as guidance in practice.

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刘丰林,陈就,徐晓刚,何冰.直廓金刚石滚轮修整蜗杆砂轮的截形误差精确计算[J].重庆大学学报,2011,34(12):1-8.

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