Finite element modelling of geared multi-body system.

*(English)*Zbl 1044.70003Summary: A dynamic model for geared multi-body system containing gear, bar and shaft is proposed, and a new gear element is particularly developed based on a specific finite element theory. The gear element can take into account time-variant meshing stiffness, the gear errors, and the couplings between torsional and lateral vibrations of gears. The accuracy and reliability of the gear element are confirmed by comparing the simulated and experimental results for rotational vibration accelerations. A gear-bar mechanism consisting of one sun gear, one planetary gear and two bars is simulated dynamically. The influence of non-uniform gear speed, time-variant meshing stiffness and bar stiffness on the dynamic behaviour is investigated.

##### MSC:

70-08 | Computational methods for problems pertaining to mechanics of particles and systems |

70E55 | Dynamics of multibody systems |

##### Keywords:

gear-bar mechanism
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\textit{Y. Wang} et al., Commun. Numer. Methods Eng. 18, No. 11, 765--778 (2002; Zbl 1044.70003)

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##### References:

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