Epicyclic gear vibrations

Physics

Scientific paper

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Gear Teeth, Resonant Vibration, Rotary Stability, Vibration Mode, Dynamic Models, Epicycloids, Equations Of Motion, Resonant Frequencies

Scientific paper

The natural frequencies of in-plane vibration of a single planetary gear stage are analyzed. The gear tooth stiffnesses are approximated as linear springs. The effect of planet pin stiffness on the natural frequencies is evaluated. Rotation of the carrier gives rise to a system with periodic coefficients which is solved by means of Floquet's theory. The rotation of the carrier appears to suppress the nonaxisymmetric modes which are present in the system with nonrotating carrier.

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