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Solitons in cyclic and symmetric structures
Publikationstyp
Conference Paper
Date Issued
2019
Sprache
English
Institut
TORE-URI
Start Page
175
End Page
178
Citation
Conference and Exposition on Structural Dynamics (IMAC 2019)
Contribution to Conference
Conference and Exposition on Structural Dynamics (IMAC 2019)
Publisher DOI
Scopus ID
© 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.
DDC Class
600: Technik
620: Ingenieurwissenschaften