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廣義螺旋曲面工件輪廓度統(tǒng)一測(cè)量方法
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    摘要:

    對(duì)國(guó)標(biāo)規(guī)定的標(biāo)準(zhǔn)螺旋曲面的測(cè)量方法進(jìn)行分析,得出普通螺紋和絲杠形位誤差測(cè)量方法中的共性問(wèn)題。利用微分幾何的曲面包絡(luò)理論,結(jié)合坐標(biāo)投影變換法和相對(duì)運(yùn)動(dòng)法對(duì)工件的曲面方程進(jìn)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(guò)廣義螺旋曲面測(cè)量要素分析,得出異型螺旋面的測(cè)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(cè)量方法。實(shí)例表明,該方法能夠快速、準(zhǔn)確地測(cè)量出對(duì)應(yīng)工件的型面尺寸,避免了測(cè)量的復(fù)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(guó)全,翁海珊.廣義螺旋曲面工件輪廓度統(tǒng)一測(cè)量方法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2007,38(10):154-156.[J]. Transactions of the Chinese Society for Agricultural Machinery,2007,38(10):154-156.

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