广义螺旋曲面工件轮廓度统一测量方法
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    摘要:

    对国标规定的标准螺旋曲面的测量方法进行分析,得出普通螺纹和丝杠形位误差测量方法中的共性问题。利用微分几何的曲面包络理论,结合坐标投影变换法和相对运动法对工件的曲面方程进行研究,得到了在母线曲面已知的情况下广义螺旋曲面的统一方程。通过广义螺旋曲面测量要素分析,得出异型螺旋面的测量方法。结合曲面统一方程,提出了广义螺旋面的统一测量方法。实例表明,该方法能够快速、准确地测量出对应工件的型面尺寸,避免了测量的复杂性和低效性。

    Abstract:

    The measurement method of standard helix surface in the national standard was summarized and the common properties and methods of common screw and screw bar in geometric error measurement were gained. Based on the envelope principle of complex surface in differential geometry theory, the surface equation of a workpiece was studied with the method of coordinate transformation and relative motion. The general formulas were presented for the generalized helix surfaces in the condition which the curve equations of generatrixs have been obtained. Through the analysis of measurement factors in generalized helix surface, the measurement method for the abnormity helix surface has been got. Combined with the general formulas, a unified theory of measurement method for generalized helix surface was presented. This theory will provide the theoretical base of the online measurement of generalized helix surface.

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翁迅,程国全,翁海珊.广义螺旋曲面工件轮廓度统一测量方法[J].农业机械学报,2007,38(10):154-156.[J]. Transactions of the Chinese Society for Agricultural Machinery,2007,38(10):154-156.

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