三坐标测量机圆柱直齿轮测量方法及其软件开发

    Measurement Method of Cylindrical Spur Gears on CMM and Its Software Development

    • 摘要: 为了开发三坐标测量机圆柱直齿轮专用测量软件, 研究了渐开线圆柱直齿轮固定式的三坐标测量方法。根据齿轮基本参数建立其数学模型, 得到齿廓偏差和齿距偏差测量特征点的理论坐标和法矢量; 测头校准之后, 基于迭代法建立三坐标测量机齿轮零件坐标系并规划了测头运动路径。在此基础上开发了一套专用测量软件, 生成三坐标测量机PC-DMIS测量程序, 实现了圆柱直齿轮自动测量, 并根据齿轮精度标准对齿廓偏差和齿距偏差进行评价。开展了相关测量试验, 结果表明本方法和专用软件得到的三坐标测量机测量结果与齿轮测量中心相比一致性较好, 齿距偏差差异、齿廓偏差差异的绝对值最大分别为1.3、1.9 μm。在渐开线圆柱直齿轮固定式的三坐标测量方法基础上开发了一套专用测量软件, 实现了基于三坐标测量机的圆柱直齿轮齿廓偏差和齿距偏差的测量, 对三坐标测量机针对复杂轮廓精密零件测量的PC-DMIS二次开发具有一定的参考意义。

       

      Abstract: To develop the specialized software for cylindrical spur gear measurement on coordinate measurement machine (CMM), the measurement method of fixed involute cylindrical spur gear on CMM was studied. The mathematical model of the gear was established based on the basic parameters, and the theoretical coordinates and normal vectors of the characteristic points of the measurement of the tooth profile deviation and the tooth distance deviation were derived. After the probe calibration of CMM, the coordinate system of gear parts was established using iterative method. The motion path of the probe was planned and the measurement program was generated on the CMM. Then, the special software was developed to generate the PC-DMIS measurement code to realize the cylindrical spur gear measurement, and the profile and pitch deviations were evaluated in accordance with the gear accuracy standard. Relevant experiments were carried out, and the results show that the evaluation results of this method are in good agreement with the evaluation results of gear measuring center. The difference of pitch deviation with the biggest absolute value is 1.3 μm, and the difference of profile deviation with the biggest absolute value is 1.9 μm. This work developed a special software on the basis of the fixed involute cylindrical spur gear measurement method on CMM, and the gear profile deviations and pitch deviations were measured, which has certain reference significance for the secondary development of PC-DMIS on CMM for the complex profile precision parts measurement.

       

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