在研究直齿圆柱齿轮啮合原理的基础上,提出了面向啮合线的齿轮齿廓设计方法。建立了面向给定啮合线的齿轮齿廓的数学模型;并以啮合线为椭圆形状的齿轮齿廓设计为例;验证了设计方法的合理性和正确性,最后计算了利用该方法设计出的齿轮的重合度,并与相同参数的渐开线齿轮进行了比较。研究结果表明:通过给定的啮合线形状设计齿轮齿廓比直接给定齿廓形状更容易控制齿轮的啮合性能。
On the basis of research on engagement principle of spur gear drive, a design method of tooth profile based on line of action is presented. The mathematical models, including the equation of action line, the equation of the tooth profile for the driving gear, and the equation of the conjugate tooth profile, are established based on the meshing theory. The simulation result of the specific example demonstrates the design method is correct and feasi- ble. The contact ratio of the proposed gear drive is calculated. A comparison study of the contact ratio with the in- volute gear drive is also carried out in this work. It will be better to control the performances of a gear set by specif- vin~ the shade of action line rather than ~n~cifvin~r tnnth nrnf;i,~ nf rn~r;n~, ~r,~,-