针对偏置斜齿面齿轮的齿面几何设计,提出了避免齿面发生根切和尖化的条件,给出了偏置斜齿面齿轮的最小内半径和最大外半径的精确解和近似解表达式,定义了偏置斜齿面齿轮最小内半径、最大外半径及齿宽系数,并通过算例表明偏置距、刀具齿数、传动比是影响齿轮齿面宽度的主要因素。 Aiming at the geometric design of tooth surface of bias helical gear, the conditions of avoiding rooting and apexing of tooth surface are put forward. The exact solution and approximate solution of minimum inner radius and maximum outer radius of bias helical gear are given. The expression defines the minimum inner radius, the maximum outer radius and the tooth width coefficient of bias helical gear, and shows that the offset, the number of teeth and the transmission ratio are the main factors affecting the gear width.