Imperial College London


Faculty of EngineeringDepartment of Mechanical Engineering

Research Fellow



+44 (0)20 7594 2243l.salles Website




Mr Peter Higgs +44 (0)20 7594 7078




556City and Guilds BuildingSouth Kensington Campus






BibTex format

author = {Fontanela, F and Grolet, A and Salles, L and Hoffmann, N},
doi = {10.1007/978-3-319-74280-9_18},
pages = {175--178},
title = {Solitons in cyclic and symmetric structures},
url = {},
year = {2019}

RIS format (EndNote, RefMan)

AB - © 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.
AU - Fontanela,F
AU - Grolet,A
AU - Salles,L
AU - Hoffmann,N
DO - 10.1007/978-3-319-74280-9_18
EP - 178
PY - 2019///
SN - 2191-5644
SP - 175
TI - Solitons in cyclic and symmetric structures
UR -
ER -