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渐开线蜗轮的精确建模与修形

Accurate Modeling and Modification of Involute Worm Gear

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【作者】 吴海兵王昆许兆美陈前亮

【Author】 WU Hai-bing;WANG Kun;XU Zhao-mei;CHEN Qian-liang;Key Laboratory of Digital Manufacturing Technology,Huaiyin Institute of Technology;Jiangsu Province Jinxiang Transmission Equipment Co.,Ltd;

【机构】 淮阴工学院先进制造技术实验室江苏省金象传动设备股份有限公司

【摘要】 为了适应单件、小批量生产模式,文章提出了一种新的渐开线蜗轮修形建模技术。根据微分几何与齿轮啮合原理依次推导得出蜗杆齿面方程、蜗轮副啮合方程,进而得出蜗轮齿面方程。将蜗轮齿面方程计算出的齿面点云沿齿面法向偏移,得出修形后的齿面。对蜗杆与修形蜗轮的动态啮合进行有限元分析,得出接触区与传动误差。分析结果表明,文中的修形建模方法精度高、啮合性能良好、调整方便。这种修形建模方法还可以用于其它类型的圆柱蜗轮副。

【Abstract】 In order to adapt to single piece and small batch production model,a new modeling technique of involute worm gear modification is proposed in this paper.According to the differential geometry and the gear meshing principle,the equation of the tooth surface of the worm and the meshing equation of the worm gear pair are derived,and then the equation of the tooth surface of the worm gear is obtained.The points of worm gear surface,which are calculated by worm gear tooth surface equation,are deviated in normal direction so that the modified tooth surface is obtained.The dynamic meshing of the worm and the worm gear is analyzed by finite element method,then the contact area and the transmission error are obtained.The analysis results show that the modeling method of this paper is of high accuracy,good meshing performance and convenient adjustment.This method can also be used for other types of cylindrical worm gear pair.

【关键词】 渐开线蜗轮建模修形接触区
【Key words】 involute worm gearmodelingmodificationcontactzone
【基金】 江苏省产学研前瞻性联合研究项目(BY2015051-08);江苏省产学研前瞻性联合研究项目(BY2016061-15);淮安市产学研协同创新研究项目(HAC201603)
  • 【文献出处】 组合机床与自动化加工技术 ,Modular Machine Tool & Automatic Manufacturing Technique , 编辑部邮箱 ,2019年01期
  • 【分类号】TH132.44
  • 【被引频次】3
  • 【下载频次】148
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