圆弧齿廓面齿轮齿顶尖化研究
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摘要
综合圆弧齿轮和面齿轮诸多优点提出圆弧齿廓面齿轮传动。为推进该面齿轮的加工应用,需确定面齿轮毛坯尺寸。运用包络成形理论,推导圆弧齿廓面齿轮齿面方程,在MATLAB中实现轮廓可视化,并得出该面齿轮齿顶在径向有两处尖化。确立齿顶尖化条件,根据数值计算分析影响面齿轮齿顶尖化处半径值的因素。提出以螺旋角为0°的特例,通过最小二乘法拟合齿顶尖化处内径和外径近似方程。最后,通过仿真实验,证明了理论计算和近似方程的可行性。
Considering the advantages of the circular arc gear and the face gear,the gear drive with circular arc tooth profile is put forward. In order to advance the machining application of the face gear,the face gear blank size must be determined. By using the envelope forming theory,the tooth surface equation of the circular arc tooth profile is deduced,and the contour visualization is realized in MATLAB,and it is concluded that the tooth tip has two sharpening in the radial direction. The factors that affect the radius of the tooth tip sharpening are analyzed and calculated according to the numerical calculation. A special case with a helix angle of 0° is proposed and the approximate equation of inner diameter and outer diameter of tooth tip sharpening is obtained by least squares method. Finally,the feasibility of the theoretical calculation and the approximate equation is proved by the simulation experiment.
Considering the advantages of the circular arc gear and the face gear,the gear drive with circular arc tooth profile is put forward. In order to advance the machining application of the face gear,the face gear blank size must be determined. By using the envelope forming theory,the tooth surface equation of the circular arc tooth profile is deduced,and the contour visualization is realized in MATLAB,and it is concluded that the tooth tip has two sharpening in the radial direction. The factors that affect the radius of the tooth tip sharpening are analyzed and calculated according to the numerical calculation. A special case with a helix angle of 0° is proposed and the approximate equation of inner diameter and outer diameter of tooth tip sharpening is obtained by least squares method. Finally,the feasibility of the theoretical calculation and the approximate equation is proved by the simulation experiment.
引文
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[4]冯占荣,王利霞,崔俊华.基于切齿原理的CATIA齿轮建模与分析[J].机械工程师,2015(11):126-128.
[5]刘梓林.相切式四圆弧齿轮齿形设计及啮合原理分析[D].银川:宁夏大学,2014:1-2.
[6]陈荣增,陈式椿,陈谌闻.圆弧齿圆柱齿轮传动[M].北京:高等教育出版社,1995:22-27.
[7]卢贤缵,尚俊开.圆弧齿轮啮合原理[M].北京:机械工业出版社,2013:6-10.
[8]舒陶亮.正交面齿轮的加工技术及啮合性能研究[D].株洲:湖南工业大学,2013:15-16.
[2]李政民卿,朱如鹏.基于包络法的正交面齿轮轮廓尖化研究[J].中国机械工程,2008,19(9):1029-1032.
[3]马香峰.确定共轭曲面的方法及其应用[M].北京:机械工业出版社,1989:163.
[4]冯占荣,王利霞,崔俊华.基于切齿原理的CATIA齿轮建模与分析[J].机械工程师,2015(11):126-128.
[5]刘梓林.相切式四圆弧齿轮齿形设计及啮合原理分析[D].银川:宁夏大学,2014:1-2.
[6]陈荣增,陈式椿,陈谌闻.圆弧齿圆柱齿轮传动[M].北京:高等教育出版社,1995:22-27.
[7]卢贤缵,尚俊开.圆弧齿轮啮合原理[M].北京:机械工业出版社,2013:6-10.
[8]舒陶亮.正交面齿轮的加工技术及啮合性能研究[D].株洲:湖南工业大学,2013:15-16.