直线共轭内啮合齿轮副的重合度研究

根据齿轮啮合原理,参照渐开线齿轮定义了直线齿廓外齿轮的基本参数,得出了齿形半角、压力角和最小齿数的关系,得到直线齿形齿轮的齿廓方程,在此基础上对啮合极限点进行了研究。为满足连续传动的要求,推导出直线共轭内啮合齿轮副啮合曲线,并分析了直线共轭内啮合齿轮传动的啮合特性。根据重合度计算理论推导出直线共轭内啮合齿轮副重合度的计算公式,保证在齿形参数设计时满足连续传动的要求。根据齿轮的基本参数和重合度的计算公式,研究外齿轮齿顶高系数、内齿圈齿顶高系数、压力角与重合度的关系。

Contact Ratio of an Internal Meshing Gear Pair with a Straight Line Tooth Profile Out Gear

According to the gear meshing principle, the basic parameters of external gears with straight tooth profiles were defined by reference to the parameters of involute gears. The relationships between the tooth angle, pressure angle and minimum number of teeth were obtained, and a coordinate system was established to obtain the tooth profile equation. On this basis, the meshing limit points were studied. In order to meet the requirements of continuous transmission, the meshing line of a linear meshing gear pair with a straight line tooth profile out gear was deduced, which is a curve with increasing curvature. The meshing characteristics of the transmission of the internal meshing gear with a straight line tooth profile out gear were analyzed. According to the theory of contact ratio, the formula of the contact ratio of linear conjugate meshing gears was deduced to ensure the requirement of continuous transmission when the tooth parameters were designed. According to the basic parameters of the gear and the calculation formula of the contact ratio, the relationships between the contact ratio and the height coefficient of the external gear tooth crown, the height coefficient of the ring gear tooth tip as well as the pressure angle were studied.