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| Research on parametric precision modeling method of planar double-enveloping hourglass worm gears |
| XIAO Qi-Ming, LIAO Xue-Hai, QIAN Li-Xia, LI Wan-Quan |
| Mechanical Engineering College, Chongqing Three Gerges University, Chongqing 400410, China |
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Abstract Planar double-enveloping hourglass worm gears have a lot of advantages. Solid model contributes to its design and analysis. The worm toothsurface equation and the plane equation of planar doubleenveloping hourglass worm gears were deduced by doing the analysis of the gear principle. Through using the incremental principle, the intersection equation of worm was calculated. The solid parametric precision model system of planar doubleenveloping hourglass worm gears was established by using VB, Matlab and Solidworks software combining with the formula to undertake combined programming. The analytical equation of the model error was established and an error analysis for the exiting example was done. The results show that the method is effective and feasible. This method simplifies the modeling process and improves the design efficiency. It is beneficial to popularize and apply of planar doubleenveloping hourglass worm gears．
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Published: 28 August 2012
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平面二包环面蜗杆参数化精准建模研究
平面二包环面蜗杆具有许多优点,实体建模有助于其设计与分析.通过分析齿轮啮合原理,推导出平面二包环面蜗杆齿面方程及平面方程.利用微增量原理,求出蜗杆的交线方程.利用VB，Matlab和Solidworks软件结合所推导公式进行联合编程开发,建立了平面二包环面蜗杆的实体参数化建模系统.同时推导误差解析法计算公式,对软件建模实例进行误差分析,结果证明该建模方法是有效、可行的.该方法使得平面二包环面蜗杆复杂的建模过程简单化,提高了设计效率,有利于平面二包环面蜗杆的推广使用.
关键词：
蜗杆,
精准模型,
参数化,
联合编程
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