随着可靠性和运转速度要求的提高,对齿轮设计提出了更小、更轻、更好的接触特性等要求。具体到齿轮参数,大重合度、少齿数、小相对曲率和滑移率齿形就成为齿轮动力传动追求的目标。在建立啮合线方程和齿形坐标的基础上,通过理论分析,得到了轮齿齿形相互满足共轭条件、并由参数方程精确定义的新齿形和满足不同给定条件的设计方法。经计算和实际制造验证,新齿形的标准直齿轮的最小齿数可达4,重合度为2的最小齿数可达22,具有少齿数、大重合度且相对曲率小、相对滑移率小的优异特性。
With the increasing of the reliability and operating speed requirement,the design of gear is required to be smaller, lighter,better contact characteristic. Specific to gear parameters,a large degree of coincidence,a small number of teeth,small relative curvature and slip rate of gear tooth become the goal in the power transmission. Based on the theoretical analysis and the establishment of equations of meshing line and the coordinates of tooth,the new shape of gear meeting the conjugate condition,precisely defined by the parametric equation and the design methods meeting different given conditions were obtained. Through validation of calculating and actual manufacturing,the smallest number of teeth of the new standard spur gear can be up to 4,and up to 22 with the smallest coinci-dence degree of 2. It is provided with the outstanding characteristics,such as small number of teeth,a large degree of coincidence, relatively small curvature and small relative slip rate.
