Search Results - "Grolet, Aurélien"
-
1
A comparison of robustness and performance of linear and nonlinear Lanchester dampers
Published in Nonlinear dynamics (01-03-2020)“…In this paper, we study and compare performance and robustness of linear and nonlinear Lanchester dampers. The linear Lanchester damper consists of a small…”
Get full text
Journal Article -
2
On a new harmonic selection technique for harmonic balance method
Published in Mechanical systems and signal processing (01-07-2012)“…This paper is intended to present a new harmonic selection technique when solving nonlinear dynamic systems with the harmonic balance method. This technique…”
Get full text
Journal Article -
3
Nonlinear vibration localisation in a symmetric system of two coupled beams
Published in Nonlinear dynamics (01-03-2021)“…We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise…”
Get full text
Journal Article -
4
Finite element computation of nonlinear modes and frequency response of geometrically exact beam structures
Published in Journal of sound and vibration (31-03-2023)“…An original method for the simulation of the dynamics of highly flexible slender structures is presented. The flexible structures are modeled via a finite…”
Get full text
Journal Article -
5
Extreme nonlinear dynamics of cantilever beams: effect of gravity and slenderness on the nonlinear modes
Published in Nonlinear dynamics (01-07-2023)“…In this paper, the effect of gravity on the nonlinear extreme amplitude vibrations of a slender, vertically oriented cantilever beam is investigated. The…”
Get full text
Journal Article -
6
Free and forced vibration analysis of a nonlinear system with cyclic symmetry: Application to a simplified model
Published in Journal of sound and vibration (04-06-2012)“…This work program is devoted to studying the nonlinear dynamics of a structure with cyclic symmetry under conditions of geometric nonlinearity, through the use…”
Get full text
Journal Article -
7
Quaternion-based finite-element computation of nonlinear modes and frequency responses of geometrically exact beam structures in three dimensions
Published in Multibody system dynamics (19-06-2024)“…In this paper, a novel method for computing the nonlinear dynamics of highly flexible slender structures in three dimensions (3D) is proposed. It is the…”
Get full text
Journal Article -
8
Comparison of two algorithms for Harmonic Balance and path continuation
Published in Mechanical systems and signal processing (01-02-2020)“…•A1: Alternating Frequency-Time scheme, Predictor-Corrector Continuation (AFT-PreCo).•A2: classical Harmonic Balance, Asymptotic Numerical Method…”
Get full text
Journal Article -
9
Koopman–Hill stability computation of periodic orbits in polynomial dynamical systems using a real-valued quadratic harmonic balance formulation
Published in International journal of non-linear mechanics (01-12-2024)“…In this paper, we generalize the Koopman–Hill projection method, which was recently introduced for the numerical stability analysis of periodic solutions, to…”
Get full text
Journal Article -
10
On the stability of pairs of subharmonic centrifugal pendulum vibration absorbers allowing a rotational mobility
Published in Nonlinear dynamics (01-10-2023)“…Centrifugal pendulum vibration absorbers (CPVAs) are passive devices used to reduce torsional vibrations in rotating machines. Previous works showed that a…”
Get full text
Journal Article -
11
On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models
Published in Nonlinear dynamics (01-07-2019)“…This paper presents a general methodology to compute nonlinear frequency responses of flat structures subjected to large amplitude transverse vibrations,…”
Get full text
Journal Article -
12
Phase resonance testing of highly flexible structures: Measurement of conservative nonlinear modes and nonlinear damping identification
Published in Mechanical systems and signal processing (01-06-2024)“…This article addresses the measurement of the nonlinear modes of highly flexible structures vibrating at extreme amplitude, using a Phase-Locked Loop…”
Get full text
Journal Article -
13
On the combination of multiple harmonics in direct and parametric forcing of an oscillator: new results on parametric amplification
Published in Meccanica (Milan) (01-10-2022)“…In this article, we focus on the study of a forced single degree of freedom Hill-type differential equation, which can be found in particular in the modeling…”
Get full text
Journal Article -
14
The extended periodic motion concept for fast limit cycle detection of self-excited systems
Published in Computers & structures (15-01-2020)“…•Application of the Extended Periodic Motion Concept to self-excited systems for limit cycle detection.•Determination of co-existing stable and unstable limit…”
Get full text
Journal Article -
15
Computation of dynamic transmission error for gear transmission systems using modal decomposition and Fourier series
Published in Forschung im Ingenieurwesen (01-12-2022)“…In this paper, a method for computing the dynamics of a geared system excited by its static transmission error is proposed. The method is based on the…”
Get full text
Journal Article -
16
Dark solitons, modulation instability and breathers in a chain of weakly non-linear oscillators with cyclic
Published in Journal of sound and vibration (20-01-2018)“…In the aerospace industry the trend for light-weight structures and the resulting complex dynamic behaviours currently challenge vibration engineers. In many…”
Get full text
Journal Article -
17
Computing multiple periodic solutions of nonlinear vibration problems using the harmonic balance method and Groebner bases
Published in Mechanical systems and signal processing (01-02-2015)“…This paper is devoted to the study of vibration of mechanical systems with geometric nonlinearities. The harmonic balance method is used to derive systems of…”
Get full text
Journal Article -
18
Global and bifurcation analysis of a structure with cyclic symmetry
Published in International journal of non-linear mechanics (01-06-2011)“…This article combines the application of a global analysis approach and the more classical continuation, bifurcation and stability analysis approach of a…”
Get full text
Journal Article -
19
On the dynamic stability and efficiency of centrifugal pendulum vibration absorbers with rotating pendulums
Published in Journal of sound and vibration (13-10-2022)“…The automotive industry uses centrifugal pendulum vibration absorbers (CPVAs) to reduce vibrations of the transmission system. These passive devices are made…”
Get full text
Journal Article -
20
Application of Normal Form Theory to Power Systems: A Proof of Concept of a Novel Structure-Preserving Approach
Published in 2024 IEEE Power & Energy Society General Meeting (PESGM) (21-07-2024)“…Differential algebraic equations (DAE) of power systems, classically obtained by aggregating all component equations and network equations, are a standard…”
Get full text
Conference Proceeding