安装误差对直齿标准齿轮螺旋线偏差的影响规律

发布时间：2018-05-29 15:28

本文选题：标准齿轮 + 螺旋线偏差　；参考：《光学精密工程》2017年09期

【摘要】：在齿轮螺旋线的实际测量过程中,不同轮齿的螺旋线倾斜偏差经常会出现较大差异。为提高齿轮螺旋线偏差的测量精度,分别研究了芯轴和齿轮安装误差对齿轮螺旋线偏差的影响规律。首先分别建立了芯轴安装偏心和倾斜误差及齿轮安装偏心和偏摆误差对齿轮螺旋线形状偏差和倾斜偏差影响的数学模型,然后制作了平垫圈(1#、4#)和楔角误差分别5.5μm/45mm(2#)和11.9μm/45mm(3#)的楔形垫圈,用于进行齿轮螺旋线偏差的精密测试实验。得到如下结果:采用2#楔形垫圈时,螺旋线倾斜偏差f_(Hβ)的最大值与理论模型相差0.17μm,相对误差为7%;采用3#楔形垫圈时,螺旋线倾斜偏差f_(Hβ)的最大值与理论模型相差0.06μm,相对误差为1%;而两次试验中齿轮螺旋线的形状偏差ffβ基本不变。实验结果表明:齿轮安装偏摆误差对螺旋线偏差的实测结果与理论值基本吻合,从而验证了所建数学模型的准确性。依据本文所建螺旋线的数学模型,得到通过调整齿轮安装偏摆误差补偿各齿轮螺旋线倾斜偏差差异的误差补偿方法。本文研究对于研制高精度标准齿轮具有重要研究意义。
[Abstract]:In the actual measurement of helix, the deviation of helical inclination of different gear teeth is often different. In order to improve the measuring accuracy of helical deviation of gear, the influence of core-shaft and gear installation error on helical deviation of gear was studied. Firstly, the mathematical models of the influence of the misalignment and inclination error of the core shaft and the gear installation eccentricity and deflection error on the helical shape deviation and the tilt deviation of the gear are established respectively. Then the wedge-shaped washers with flat washers (1 #1 #4) and wedge angle errors (5.5 渭 m / 45mm / 2 #2) and 11.9 渭 m / 45mm / 3 #3) are made for precision testing of helical deviation of gears. The results are as follows: the maximum value of helical tilting deviation f _ T _ H _ 尾 is 0.17 渭 m different from the theoretical model, and the relative error is 7 渭 m when the wedge washer is used in 2#, and the relative error is 7 渭 m when the theoretical model is used. The maximum deviation of helix tilting deviation f _ S _ H 尾 is 0.06 渭 m different from that of the theoretical model, and the relative error is 1 渭 m, while the shape deviation of gear helix f _ p 尾 is almost unchanged in two tests. The experimental results show that the measured results of gear mounting and deflection errors on helical line deviations are in good agreement with the theoretical values, thus validating the accuracy of the established mathematical model. According to the mathematical model of helical line established in this paper, an error compensation method for compensating the deviation difference of helical line of each gear by adjusting the error of gear installation deflection is obtained. The research in this paper is of great significance to the development of high precision standard gear.
【作者单位】：大连理工大学精密特种加工教育部重点实验室;大连理工大学微纳米技术及系统辽宁省重点实验室;辽宁省计量科学研究院;
【基金】：国家自然科学基金地区联合项目(No.U1508211);国家自然科学基金创新研究群体项目(No.51621064) 中央高校基本科研业务资助项目(No.DUT17JC15)
【分类号】：TG86

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