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Table 1 Exciting conditions for elastic mesh-frequency phasing

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

Exciting conditions

Mesh-frequency vibrations

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

The mth vibration is excited by the lmth mesh excitation

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

The mth vibration induced by the lmth mesh excitation is suppressed

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