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Journal Articles Nonlinear Dynamics Year : 2022

Vibro-impact dynamics of large-scale geared systems


This work is concerned with the analysis of vibro-impact responses observed in large-scale nonlinear geared systems. Emphasis is laid on the interactions between the high frequency internal excitation generated by the meshing process, i.e. the static transmission error (STE) and time-varying mesh stiffness (TVMS), and low frequency external excitations. To this end, a three-dimensional finite element (FE) model of a pump equipped with a reverse spur gear pair (gear ratio 1:1) is built. The model takes into account the flexibility of the kinematic chain, the bearings and the housing and the gear backlash nonlinearity. A reduced-order model is solved with the Harmonic Balance Method (HBM) coupled to an arc-length continuation algorithm which allows one to compute the periodic solutions of the system. The onset and disappearance of vibro-impact responses is studied through the computation of grazing bifurcations. Results show that the coupling between the external excitation and the time-varying mesh stiffness term greatly modify the characteristics of the responses in terms of number and periodicity of impacts and contact loss duration.
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hal-03740450 , version 1 (29-07-2022)
hal-03740450 , version 2 (15-01-2024)




Adrien Mélot, Joël Perret-Liaudet, Emmanuel Rigaud. Vibro-impact dynamics of large-scale geared systems. Nonlinear Dynamics, 2022, ⟨10.1007/s11071-022-08144-5⟩. ⟨hal-03740450v2⟩
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