Planetary gear transmissions load sharing measurement from tooth root strains: Numerical evaluation of mesh phasing influence

Abstract 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.