| 类圆曲线及其性质研究 |
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| 引用本文： | 陈明,刘延平.类圆曲线及其性质研究[J].中国机械工程,2014,25(10):1324-1332. |
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| 作者姓名： | 陈明 刘延平 |
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| 作者单位： | 哈尔滨工业大学，哈尔滨,150001 |
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| 摘 要： | 对偏心圆节曲线非圆齿轮传动和椭圆节曲线非圆齿轮传动的关键设计参数偏心率e和离心率ε分别进行了分析。在椭圆曲线的基础上，通过改变极坐标极点，得到了一种新型的封闭曲线--类圆曲线,它可以看作是更广义的椭圆曲线或偏心圆曲线。针对一般意义的椭圆曲线和偏心圆曲线只是类圆曲线的两种特殊类型的情况，在类圆曲线的数学表达式中，引入了两个关键设计参数偏心率e和离心率ε,建立了具有不同性质的非圆齿轮节圆曲线方程。研究发现,偏心率e可以确定类圆曲线的最小和最大向径，离心率ε可以确定类圆曲线的形状。类圆曲线非圆齿轮传动具有与偏心圆齿轮和椭圆齿轮类似的传动特点，同时在设计上比偏心圆齿轮和椭圆齿轮更加灵活、方便。
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| 关 键 词： | 类圆曲线 偏心圆节曲线 椭圆节曲线 非圆齿轮 |
Study on Quasi-circular Curve and Its Properties |
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| Chen Ming,Liu Yanping.Study on Quasi-circular Curve and Its Properties[J].China Mechanical Engineering,2014,25(10):1324-1332. |
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| Authors: | Chen Ming Liu Yanping |
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| Affiliation: | Harbin Institute of Technology,Harbin,150001 |
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| Abstract: | This paper studied the key design parameters, the eccentricity ratio e of eccentric circular curve and the eccentricity ε of elliptic curve, which were used commonly for non-circular gear transmission. By changing the pole of the polar coordinates, a new transformed elliptic curve named quasi-circular curve can be obtained, which can be regarded as generalized elliptic curve or generalized eccentric curve. Aiming at that the original elliptic curve and eccentric curve were just special cases of the quasi-circular curve, two key design parameters, eccentricity ratio e and eccentricity ε were introduced into the mathematical expression of the quasi-circular curve to build a new expression of the pitch of non-circular gear. The research indicates that the eccentricity ratio determines the minimum and the maximum radius of the quasi-circular curve and the eccentricity determines the shape of the quasi-circular curve. The quasi-circular gear transmission has the characteristics similar to the eccentric circular gears and elliptic gears, but it is more flexible and convenient to design. |
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| Keywords: | quasi-circular curve eccentric circular gear elliptic gear non-circular gear |
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