Abstract The geometric design, meshing performance, and mechanical behavior of pure rolling cylindrical helical gear drives with variable helix angle are preseted. This new type of pure rolling gear drives are based on the active design of the meshing line function. Seven types including linear, parabolic, and combined meshing line functions with variable helix angle and parametric equations for convex-to-convex meshing type are discussed. The contact patterns, loaded functions of transmission errors, and the evolution of contact and bending stresses along two pitch angles of rotation of the pinion being evaluated are compared to each other and to a pair of non-standard involute helical gears. Results show that one of the cases of design of pure rolling helical gears with variable helix angle reduces bending and contact stresses compared to the case of pure rolling helical gears with constant helix angle. Compared to involute helical gear drive, contact and bending stresses are increased. However, pure rolling cylindrical helical gears show potential for application as plastic gears in which their complex geometry can be reproduced with injection molding and the phenomenon of pure rolling meshing would contribute to a low heat generation and durability of the gears.

中文翻译：

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变螺旋角纯滚动圆柱斜齿轮传动的计算机设计、啮合模拟和应力分析

摘要 预设了变螺旋角纯滚动圆柱斜齿轮传动的几何设计、啮合性能和机械性能。这种新型的纯滚动齿轮传动是基于啮合线功能的主动设计。讨论了包括线性、抛物线和可变螺旋角的组合网格线函数和凸到凸网格类型的参数方程七种类型。接触模式、传输误差的负载函数以及接触和弯曲应力沿被评估小齿轮的两个节距角的演变相互比较，并与一对非标准渐开线斜齿轮进行比较。结果表明，与具有恒定螺旋角的纯滚动斜齿轮的情况相比，具有可变螺旋角的纯滚动斜齿轮设计案例之一降低了弯曲和接触应力。与渐开线斜齿轮驱动相比，接触和弯曲应力增加。然而，纯滚动圆柱斜齿轮显示出作为塑料齿轮的应用潜力，其中它们的复杂几何形状可以通过注塑成型复制，并且纯滚动啮合现象有助于齿轮的低发热和耐用性。