The present work proposes a numerical approach to the problem of the calculation of the load sharing in planetary transmissions by measuring the strains in the root of the sun gear teeth, a rather common experimental procedure. The approach to model the virtual strain gauges is described in detail. This technique is modelled mimicking the experimental measuring procedure. The presented technique is employed in different simulation scenarios including in-phase and sequentially phased transmissions. Moreover, various tangential position errors are included. These configurations cover the most common scenarios in industrial applications. From these scenarios, the results show discrepancies between the real load sharing and the measured data. The nature of these discrepancies is studied in depth from the geometrical point of view.

本工作提出了一种数值方法，通过测量恒星齿轮齿根中的应变来计算行星齿轮箱中的负载分担问题，这是一种相当常见的实验程序。详细描述了虚拟应变仪的建模方法。该技术是模仿实验测量程序的模型。所提出的技术被用于包括同相和相序传输的不同仿真场景中。此外，包括各种切线位置误差。这些配置涵盖了工业应用中最常见的场景。从这些方案中，结果显示了实际负载分担和测量数据之间的差异。从几何学的角度深入研究了这些差异的性质。