Aim of this paper is to establish a bi-dimensional approach under quasi-static conditions to model the deflection and the load sharing characteristics as well as the contact conditions between engaging teeth in a spur gear transmission. A semi-analytical model is used to obtain tooth deformations and its stiffness, which is employed in an iterative nonlinear scheme to obtain the actual location of the point of application of the load and its intensity between the different teeth pairs. Next a numerical non-Hertzian contact mechanics model is used to obtain surface displacements and pressure distributions accounting for curvature variations and possible tip contacts once equilibrium is established. Several results are shown in terms of static transmission error, load sharing and contact pressures distributions along the roll angle of the gears with and without different kinds and amounts of profile modifications.

本文的目的是在准静态条件下建立一种二维方法来模拟偏转和负载共享特性以及正齿轮传动中啮合齿之间的接触条件。半解析模型用于获得齿变形及其刚度，该模型用于迭代非线性方案以获得载荷施加点的实际位置及其不同齿对之间的强度。接下来，使用数值非赫兹接触力学模型来获得表面位移和压力分布，考虑到曲率变化和一旦建立平衡可能的尖端接触。在静态传输错误方面显示了几个结果，