A Discrete Lumped-Parameter Dynamic Model for a Planetary Gear Set with Flexible Ring Gear

Jun Zhang; Yi Min Song; Jin You Xu

doi:10.4028/www.scientific.net/AMM.86.756

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 86A Discrete Lumped-Parameter Dynamic Model for a...

A Discrete Lumped-Parameter Dynamic Model for a Planetary Gear Set with Flexible Ring Gear

Abstract:

A discrete lumped-parameter model for a general planetary gear set is proposed, which models the continuous flexible ring gear as discrete rigid ring gear segments connected with each other through virtual springs. The ring-planet mesh is analyzed to derive equations of motion of ring segments and planet. By assembling equations of motion of each individual component, the governing equations of planetary gear system are obtained. The solution for eigenvalue problem yields to natural frequencies and corresponding vibration modes. The simulations of example system reveal that the ring gear flexibility decreases system lower natural frequencies and the vibration modes can be classified into rotational, translational, planet and ring modes.

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Periodical:

Applied Mechanics and Materials (Volume 86)

Pages:

756-761

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.86.756

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Online since:

August 2011

Authors:

Jun Zhang, Yi Min Song, Jin You Xu

Keywords:

Dynamic Modeling, Natural Frequency, Planetary Gear Set

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