As an essential part of a drive-train system, a gearbox is one of the most widely used machinery devices. The characteristic transmission process of an involute gear is a major source of excitation for noise generation. Thus, a suitable simulation technique heavily supports a systematic optimization of the overall performance from the first development stage. But getting the best fit between accuracy and computation time for total system analyses is still a great challenge due to the complex contact conditions during power transmission. Therefore, the initial aim of this paper is to present an efficient and accurate method for evaluating the current state of the gear mesh stiffness. The calculation is based on the Isogeometric Analysis and for performance reasons combined with an analytical approach. The exact tooth design is derived from a gear shaping simulation. A possible mesh interference under load is considered as well as profile modifications. In a second step, the developed methodology is tested and validated against established research and software tools. On this basis, a comparison and discussion of some modeling details is finally given.

作为动力传动系统的重要组成部分，变速箱是使用最广泛的机械设备之一。渐开线齿轮的特征传动过程是产生噪声的主要激励源。因此，合适的仿真技术在很大程度上支持从第一个开发阶段就对总体性能进行系统的优化。但是，由于功率传输过程中的接触条件复杂，因此要在整个系统分析的精度和计算时间之间取得最佳匹配仍然是一个巨大的挑战。因此，本文的最初目的是提出一种有效而准确的方法来评估齿轮啮合刚度的当前状态。该计算基于等几何分析，并且出于性能原因，结合了分析方法。精确的齿形设计源自齿轮成形仿真。考虑了负载下可能的网格干扰以及轮廓修改。第二步，根据已建立的研究和软件工具对已开发的方法进行测试和验证。在此基础上，最后对一些建模细节进行了比较和讨论。