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Table 2 Exciting conditions for elastic planet-pass phasing

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

Exciting conditions

Planet-pass frequency vibrations

\(n = \pm\,q_{\text{s}} Z_{\text{r}} \pm l_{\text{s}} N\)

The nth elastic vibration is excited by the lsth planet-pass-frequency excitation

\(n \ne \pm\,q_{\text{s}} Z_{\text{r}} \pm l_{\text{s}} N\)

The nth elastic vibration induced by the lsth planet-pass-frequency excitation is suppressed

  1. where “n”, “qs”, “+” and “−” are the wavenumber, integer value (qs>0), backward and forward traveling waves, respectively