104 citations · 317 across the 9 of their papers we have counts for
9 papers
Perturbation Function Iteration Method: A New Framework for Solving Periodic Solutions of Non-linear and Non-smooth Systems
Limin Cao, Yanmao Chen, Li Wang +2
Computing accurate periodic responses in strongly nonlinear or even non-smooth vibration systems remains a fundamental challenge in nonlinear dynamics. Existing numerical methods,…
High order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to large amplitude vibrations and uncovering of a folding point
Alessandra Vizzaccaro, Andrea Opreni, Loïc Salles +2
This paper investigates model-order reduction methods for geometrically nonlinear structures. The parametrisation method of invariant manifolds is used and adapted to the case of m…
Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures
Alessandra Vizzaccaro, Yichang Shen, Loïc Salles +2
The direct computation of the third-order normal form for a geometrically nonlinear structure discretised with the finite element (FE) method, is detailed. The procedure allows to…
Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements
Alessandra Vizzaccaro, Arthur Givois, Pierluigi Longobardi +5
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…
Nonlinear vibration localisation in a symmetric system of two coupled beams
Filipe Fontanela, Alessandra Vizzaccaro, Jeanne Auvray +4
We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bi…
Comparison of nonlinear mappings for reduced-order modelling of vibrating structures: normal form theory and quadratic manifold method with modal derivatives
Alessandra Vizzaccaro, Loïc Salles, Cyril Touzé
The objective of this contribution is to compare two methods proposed recently in order to build efficient reduced-order models for geometrically nonlinear structures. The first me…
Dissipative solitons in forced cyclic and symmetric structures
Filipe Fontanela, Aurelien Grolet, Loic Salles +4
The emergence of localised vibrations in cyclic and symmetric rotating structures, such as bladed disks of aircraft engines, has challenged engineers in the past few decades. In th…
Dark solitons, modulation instability and breathers in a chain of weakly non-linear oscillators with cyclic symmetry
F. Fontanela, A. Grolet, L. Salles +2
In the aerospace industry the trend for light-weight structures and the resulting complex dynamic behaviours currently challenge vibration engineers. In many cases, these light-wei…
Dual Time Stepping Algorithms With the High Order Harmonic Balance Method for Contact Interfaces With Fretting-Wear
Loic Salles, Laurent Blanc, Alexandre Gouskov +2
Contact interfaces with dry friction are frequently used in turbomachinery. Dry friction damping produced by the sliding surfaces of these interfaces reduces the amplitude of blade…