A nonlinear component mode synthesis method for the computation of steady-state vibrations in non-conservative systems

Colas Joannin (1, 2) , Benjamin Chouvion (1) , Fabrice Thouverez (1) , Jean-Philippe Ousty (2) , Moustapha Mbaye (3)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
2 Turbomeca
3 Safran Tech

This paper presents an extension to classic component mode synthesis methods to compute the steady-state forced response of nonlinear and dissipative structures. The procedure makes use of the nonlinear complex modes of each substructure, computed by means of a modified harmonic balance method, in order to build a reduced-order model easily solved by standard iterative solvers. The proposed method is applied to a mistuned cyclic structure subjected to dry friction forces, and proves particularly suitable for the study of such systems with high modal density and non-conservative nonlinearities.

Mots clés: reduced-order model; nonlinear mode; component mode synthesis; mistuning; friction

Domaines: Sciences de l'ingénieur [physics]; Mécanique [physics.med-ph]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]

Colas Joannin, Benjamin Chouvion, Fabrice Thouverez, Jean-Philippe Ousty, Moustapha Mbaye. A nonlinear component mode synthesis method for the computation of steady-state vibrations in non-conservative systems. Mechanical Systems and Signal Processing, 2016, 83, pp.75 - 92. ⟨10.1016/j.ymssp.2016.05.044⟩. ⟨hal-01389699⟩