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- Title
Vibro-impact dynamics of large-scale geared systems.
- Authors
Mélot, Adrien; Perret-Liaudet, Joël; Rigaud, Emmanuel
- Abstract
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 and time-varying mesh stiffness, and low-frequency external excitations. To this end, a three-dimensional finite element 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 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 modifies the characteristics of the responses in terms of number and periodicity of impacts and contact loss duration.
- Subjects
HELICAL gears; BACKLASH (Engineering); REDUCED-order models; KINEMATIC chains; FINITE element method; SPUR gearing
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 6, p4959
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-022-08144-5