• français
    • English
    français
  • Login
Help
View Item 
  •   Home
  • Laboratoire d’Ingénierie des Systèmes Physiques Et Numériques (LISPEN)
  • View Item
  • Home
  • Laboratoire d’Ingénierie des Systèmes Physiques Et Numériques (LISPEN)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Computation of quasi-periodic localised vibrations in nonlinear cyclic and symmetric structures using harmonic balance methods

Article dans une revue avec comité de lecture
Author
FONTANELA, Filipe
235079 Department of Mechanical Engineering [Imperial College London]
GROLET, Aurélien
543315 Laboratoire d’Ingénierie des Systèmes Physiques et Numériques [LISPEN]
SALLES, Loïc
235079 Department of Mechanical Engineering [Imperial College London]
HOFFMANN, Norbert
235079 Department of Mechanical Engineering [Imperial College London]
484412 Hamburg University of Technology [TUHH]

URI
http://hdl.handle.net/10985/16780
DOI
10.1016/j.jsv.2018.09.002
Date
2019
Journal
Journal of Sound and Vibration

Abstract

In this paper we develop a fully numerical approach to compute quasi-periodic vibrations bifurcating from nonlinear periodic states in cyclic and symmetric structures. The focus is on localised oscillations arising from modulationally unstable travelling waves induced by strong external excitations. The computational strategy is based on the periodic and quasi-periodic harmonic balance methods together with an arc-length continuation scheme. Due to the presence of multiple localised states, a new method to switch from periodic to quasi-periodic states is proposed. The algorithm is applied to two different minimal models for bladed disks vibrating in large amplitudes regimes. In the first case, each sector of the bladed disk is modelled by a single degree of freedom, while in the second application a second degree of freedom is included to account for the disk inertia. In both cases the algorithm has identified and tracked multiple quasi-periodic localised states travelling around the structure in the form of dissipative solitons

Files in this item

Name:
LISPEN_JSV_012019_GROLET.pdf
Size:
2.009Mb
Format:
PDF
View/Open

Collections

  • Laboratoire d’Ingénierie des Systèmes Physiques Et Numériques (LISPEN)

Related items

Showing items related by title, author, creator and subject.

  • Dissipative solitons in forced cyclic and symmetric structures 
    Article dans une revue avec comité de lecture
    HOFFMANN, N.; FONTANELA, Francesco; GROLET, Aurélien; SALLES, Loïc; CHABCHOUB, Amin; CHAMPNEYS, Alan; PATSIAS, Sophoclis; HOFFMANN, Norbert (Elsevier, 2019)
    The emergence of localised vibrations in cyclic and symmetric rotating struc-tures, such as bladed disks of aircraft engines, has challenged engineers in thepast few decades. In the linear regime, localised states ...
  • Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements 
    Article dans une revue avec comité de lecture
    VIZZACCARO, Alessandra; GIVOIS, Arthur; LONGOBARDI, Pierluigi; ccSHEN, Yichang; DEÜ, Jean-François; SALLES, Loïc; ccTOUZÉ, Cyril; ccTHOMAS, Olivier (Springer Verlag, 2020)
    Non-intrusive methods have been used since two decades to derive reduced-order models for geometrically nonlinear structures, with a particular emphasis on the so-called STiffness Evaluation Procedure (STEP), relying on ...
  • Comparison of Reduction Methods for Finite Element Geometrically Nonlinear Beam Structures 
    Article dans une revue avec comité de lecture
    ccSHEN, Yichang; VIZZACCARO, Alessandra; KESMIA, Nassim; SALLES, Loïc; ccTHOMAS, Olivier; ccTOUZÉ, Cyril (MDPI AG, 2021-03)
    The aim of this contribution is to present numerical comparisons of model-order reduction methods for geometrically nonlinear structures in the general framework of finite element (FE) procedures. Three different methods ...
  • Reduced-order modeling of geometrically nonlinear rotating structures using the direct parametrisation of invariant manifolds 
    Article dans une revue avec comité de lecture
    MARTIN, Adrien; OPRENI, Andrea; ccVIZZACCARO, Alessandra; ccDEBEURRE, Marielle; SALLES, Loic; FRANGI, Attilio; ccTHOMAS, Olivier; TOUZÉ, Cyril (Centre pour la Communication Scientifique Directe (CCSD), 2023-06)
    The direct parametrisation method for invariant manifolds is a nonlinear reduction technique which derives nonlinear mappings and reduced-order dynamics that describe the evolution of dynamical systems along a low-dimensional ...
  • Comparison of ANM and Predictor-Corrector Method to Continue Solutions of Harmonic Balance Equations 
    Article dans une revue avec comité de lecture
    WOIWODE, Lukas; BALAJI, Nidish Narayanaa; KAPPAUF, Jonas; TUBITA, Fabia; GUILLOT, Louis; VERGEZ, Christophe; COCHELIN, Bruno; GROLET, Aurélien; KRACK, Malte (Springer International Publishing, 2019)
    In this work we apply and compare two numerical path continuation algorithms for solving algebraic equations arising when applying the Harmonic Balance Method to compute periodic regimes of nonlinear dynamical systems. The ...

Browse

All SAMCommunities & CollectionsAuthorsIssue DateCenter / InstitutionThis CollectionAuthorsIssue DateCenter / Institution

Newsletter

Latest newsletterPrevious newsletters

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales