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Table 3 Exciting conditions for mesh and planet-pass vibrations

From: Investigation on Mesh and Sideband Vibrations of Helical Planetary Ring Gear Using Structure, Excitation and Deformation Symmetries

Exciting conditions

Mesh and planet-pass frequency vibrations

\(w = \pm l_{\text{m}} Z_{\text{r}} \pm l_{\text{s}} N\)

The wth elastic vibration is excited by the lmth mesh-frequency and the lsth planet-pass-frequency excitations

\(w \ne \pm l_{\text{m}} Z_{\text{r}} \pm l_{\text{s}} N\)

The wth elastic vibration related to the lmth mesh-frequency and the lsth planet-pass-frequency excitations is suppressed

  1. where “w”, “+” and “−” are wavenumber, backward and forward traveling waves, respectively