| 基于MATLAB的高阶椭圆齿轮副节曲线的设计 |
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| 引用本文： | 刘永平,孟鹏飞.基于MATLAB的高阶椭圆齿轮副节曲线的设计[J].机械,2010,37(2):39-42. |
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| 作者姓名： | 刘永平 孟鹏飞 |
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| 作者单位： | 1. 兰州理工大学,数字制造技术与应用省部共建教育部重点实验室,兰州,730050;兰州理工大学,机电工程学院,兰州,730050
2. 兰州理工大学,机电工程学院,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金资助项目(2007GS04855);;甘肃省教育厅资助项目(0803-12) |
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| 摘 要： | 为了使非圆齿轮节曲线的设计及计算更加精确快速,以高阶椭圆非圆齿轮为研究对象,根据非圆齿轮的啮合原理,建立起非圆齿轮节曲线的数学模型。采用MATLAB仿真计算软件,根据数值计算方法,对椭圆齿轮节曲线的凹凸性进行判断并对其弧长进行精确计算。运用三次样条插值法进行拟合,绘制出齿轮副的节曲线图形。最后,以椭圆齿轮副的传动比曲线为研究对象,重点讨论了传动比与齿轮副阶数及偏心率的变化关系。
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| 关 键 词： | 非圆齿轮 高阶椭圆齿轮 MATLAB 数值计算 三次样条插值 传动比 偏心率 |
Design of the pitch curves of higher-order elliptic gears based on MATLAB |
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| LIU Yong-ping,MENG Peng-fei.Design of the pitch curves of higher-order elliptic gears based on MATLAB[J].Machinery,2010,37(2):39-42. |
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| Authors: | LIU Yong-ping MENG Peng-fei |
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| Affiliation: | 1.Key Laboratory of Digital Manufacturing Technology and Application The Ministry of Education/a>;Lanzhou University of Technology/a>;Lanzhou 730050/a>;China/a>;2.School of Mechanical & Electronical Engineering/a>;China |
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| Abstract: | To make non-circular pitch curve of gear design and calculations are more accurately and quickly,as the Higher-order elliptical non-circular gears to study,according to the meshing theory of non-circular gears,established pitch curve of non-circular gear mathematical model. Adopted MATLAB and numerical methods to study the Higher-order elliptic which is the pitch curves convex-concave and accurate calculation of arc length. Using cubic spline interpolation method to fit and draw out the gear pair of pitch c... |
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| Keywords: | non-circular gears higher-order elliptic gears MATLAB numerical computation subsection cubic spline interpolation gear ratio eccentricity ratio |
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