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.
引文
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