Finite element modelling of geared multi‐body system

Abstract

SUMMARYA 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 speciÿc ÿnite element theory. The gear element can take into account time-variant meshing sti ness, the gear errors, and the couplings between the torsional and the lateral vibrations of gears. The accuracy and reliability of the gear element are conÿrmed by comparing the simulated with the experimental results of rotational vibration accelerations. A gear-bar mechanism composing one sun gear, one planetary gear and two bars is simulated dynamically. The in uences of non-uniform gear speed, time-variant meshing sti ness and bar sti ness on the dynamic behaviours are investigated.

Coupling dynamics of a geared multibody system supported by ElastoHydroDynamic lubricated cylindrical joints

“…Using the modal superposition method, Vinayak and Singh [35] extended the multibody dynamics modeling strategy for rigid gears to include compliant gear bodies in multiple-mesh transmission system. Wang et al [36] also investigated the coupling dynamics of the geared mechanism based on the theoretic framework of multibody system dynamics. Chang [37] considered the coupling dynamics of a spatial quick-return mechanism with a flexible geared rotor, in which the flexible multibody model of the geared mechanism was established by using the Hamilton's principle and the flexible rods were model by using the modal shape function based on the Timoshenko-beam theory.…”

An Experimental Study of Whirling Characteristics of Gear-Pinion Rotor System

“…The influences of non-uniform gear speed, and timevariant meshing stiffness on dynamic behaviour using Finite Element Modelling was investigated by Y. Wang et al [13].…”