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基于空間嚙合理論的擺線鋼球行星傳動(dòng)根切研究
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Undercutting in Cycloid Ball Planetary Transmission Based on Space Meshing Theory
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    摘要:

    介紹了擺線鋼球行星傳動(dòng)的結(jié)構(gòu)組成和傳動(dòng)原理,提出了利用錐形銑刀包絡(luò)內(nèi)、外擺線封閉槽的數(shù)學(xué)模型,,建立了擺線槽齒面的包絡(luò)面方程,。根據(jù)空間嚙合理論推導(dǎo)出擺線槽齒面的根切界限函數(shù),,分析了根切界限函數(shù)隨基本設(shè)計(jì)參數(shù)的變化規(guī)律,。結(jié)果表明,,隨著基本設(shè)計(jì)參數(shù)的變化,,內(nèi),、外擺線封閉槽齒面會(huì)按一定的先后順序發(fā)生根切,,并且總是內(nèi)擺線槽內(nèi)側(cè)齒面最先根切,從而得到了不發(fā)生根切必須滿足的不等式方程,,并通過(guò)具體實(shí)例及計(jì)算機(jī)圖形仿真進(jìn)行驗(yàn)證,。本研究為擺線鋼球行星傳動(dòng)的設(shè)計(jì)制造提供了理論依據(jù)。

    Abstract:

    The structure and drive principle of the cycloid ball planetary transmission was introduced. The mathematic models for the tooth surfaces of epitrochoid and hypotrochoid enclosed grooves generated by cone milling cutter were proposed. According to space meshing theory, the meshing equations and the undercut limit functions were deduced. The variational regularity of undercut limit functions with the fundamental design parameters were analyzed through the numerical method. The analytical results showed that the undercutting phenomenon of the tooth surfaces of hypotrochoid and epitrochoid enclosed grooves occurred orderly corresponding to the variation of fundamental design parameters, and the first undercut point always occurred on inside tooth surface of hypotrochoid groove. Consequently, a simpler dimensionless inequality which can avoid the undercut was derived from the proposed analysis. Then, the conclusion was verified by the design examples and the computer simulations. The research results offer a theoretical basis for designing and manufacturing of the cycloid ball planetary transmission. 

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楊作梅,安子軍,張鵬.基于空間嚙合理論的擺線鋼球行星傳動(dòng)根切研究[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2009,40(10):216-222. Undercutting in Cycloid Ball Planetary Transmission Based on Space Meshing Theory[J]. Transactions of the Chinese Society for Agricultural Machinery,2009,40(10):216-222.

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