Fontanela, FilipeFilipeFontanelaGrolet, AurélienAurélienGroletSalles, LoicLoicSallesHoffmann, NorbertNorbertHoffmann2019-03-132019-03-132019Conference and Exposition on Structural Dynamics (IMAC 2019)http://hdl.handle.net/11420/2101© The Society for Experimental Mechanics, Inc. 2019. This research focuses on localised states arising from modulationally unstable plane waves in non-conservative cyclic and symmetric structures. The main application is on vibrations of bladed-disks of aircraft engines experiencing nonlinear effects, such as large displacements, friction dissipation, and/or complex fluid-structure interactions. The investigation is based on a minimal model composed of a chain of linearly damped Duffing oscillators under external travelling wave excitation. The computed results are based on two strategies: (1) a Non-Linear Schrödinger Equation (NLSE) approximation; and (2) the periodic and quasi-periodic Harmonic Balance Methods (HBM). In both cases, the results show that unstable plane waves may self-modulate, leading to stable and unstable single and multiple solitons configurations.enTechnikIngenieurwissenschaftenConference Paper10.1007/978-3-319-74280-9_18Other