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廣義螺旋曲面工件輪廓度統(tǒng)一測量方法
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    摘要:

    對國標規(guī)定的標準螺旋曲面的測量方法進行分析,得出普通螺紋和絲杠形位誤差測量方法中的共性問題,。利用微分幾何的曲面包絡(luò)理論,,結(jié)合坐標投影變換法和相對運動法對工件的曲面方程進行研究,得到了在母線曲面已知的情況下廣義螺旋曲面的統(tǒng)一方程,。通過廣義螺旋曲面測量要素分析,,得出異型螺旋面的測量方法。結(jié)合曲面統(tǒng)一方程,,提出了廣義螺旋面的統(tǒng)一測量方法,。實例表明,該方法能夠快速,、準確地測量出對應(yīng)工件的型面尺寸,,避免了測量的復雜性和低效性。

    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,程國全,翁海珊.廣義螺旋曲面工件輪廓度統(tǒng)一測量方法[J].農(nóng)業(yè)機械學報,2007,38(10):154-156.[J]. Transactions of the Chinese Society for Agricultural Machinery,2007,38(10):154-156.

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