Campus
Lille
Statut
Maître de Conférences
Aurélien
Grolet
Publications
This paper introduces a model-order reduction technique for lightly damped nonlinear vibrating systems. By combining calculation details that are specific to the harmonic balance method, the asymptotic numerical method, and the normal form style parametrisation for invariant manifolds, a complete pr…
Communications in Nonlinear Science and Numerical Simulation. 2026;157:109708.
DOI : 10.1016/j.cnsns.2026.109708
<div><p>This article deals with the experimental validation of a theoretical model describing the dynamics of a special class of centrifugal pendulum vibration absorbers, designed to reduce the torsional vibrations of rotating machines. The original architecture proposed in this work consists in cyl…
Journal of Sound and Vibration. 2025..
DOI : 10.1016/j.jsv.2025.119032
In this paper, we generalize the Koopman–Hill projection method, which was recently introduced for the numerical stability analysis of periodic solutions, to be included immediately in classical real-valued harmonic balance (HBM) formulations. We incorporate it into the Asymptotic Numerical Method (…
International Journal of Non-Linear Mechanics. 2024;167:104894.
DOI : 10.1016/j.ijnonlinmec.2024.104894
Centrifugal double pendulum vibration absorbers (CDPVAs) can be used to reduce torsional vibrations of rotating machines. These passive devices are made of several double pendulums oscillating relatively to a rotor. This study extends former works on CDPVAs by accounting for the rotational inertia o…
Mechanism and Machine Theory. 2024;197:105649.
DOI : 10.1016/j.mechmachtheory.2024.105649
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 extension to 3D of a previous work restricted to inplane (2D) deformations. It is based on the geometrically exact beam model, which is discretized…
Multibody System Dynamics. 2024..
DOI : 10.1007/s11044-024-09999-9
This article addresses the measurement of the nonlinear modes of highly flexible structures vibrating at extreme amplitude, using a Phase-Locked Loop experimental continuation technique. By separating the motion into its conservative and dissipative parts, it is theoretically proven for the first ti…
Mechanical Systems and Signal Processing. 2024;215:111423.
DOI : 10.1016/j.ymssp.2024.111423
This paper considers the computation of reduced-order models for systems of ordinary differential equations that include non-polynomial non-linearities. A targeted example is the case of a geometrically exact model of highly flexible slender structure, that includes, after space discretisation, trig…
International Journal of Non-Linear Mechanics. 2024;178:105138.
DOI : 10.1016/j.ijnonlinmec.2025.105138
Rotating machines are often subjected to fluctuating torques, which causes rotor vibrations, early wear and noise pollution. These vibrations can be reduced using centrifugal pendulum vibration absorbers (CPVAs), which are passive devices made of several bodies (pendulums) oscillating along a given …
Journal of Sound and Vibration. 2024;571:118028.
DOI : 10.1016/j.jsv.2023.118028
Centrifugal pendulum vibration absorbers (CPVAs) are often used by the automotive industry to reduce vibrations of the drivetrain. These passive devices consist of several masses oscillating along a given path relative to a rotor. Recent CPVA systems make use of rocking pendulums, meaning that the p…
Mechanism and Machine Theory. 2023;188:105401.
DOI : 10.1016/j.mechmachtheory.2023.105401
Centrifugal pendulum vibration absorbers (CPVAs) are passive devices used to reduce torsional vibrations in rotating machines. Previous works showed that a CPVA configuration with two pendulums oscillating in phase opposition and at half the excitation frequency is efficient in reducing the rotor’s …
Nonlinear Dynamics. 2023;111(19):17859-17886.
DOI : 10.1007/s11071-023-08828-6
In this paper, the effect of gravity on the nonlinear extreme amplitude vibrations of a slender, vertically-oriented cantilever beam is investigated. The extreme nonlinear vibrations are modeled using a finite element discretization of the geometrically exact beam model solved in the frequency domai…
Nonlinear Dynamics. 2023;111(14):12787-12815.
DOI : 10.1007/s11071-023-08637-x
An original method for the simulation of the dynamics of highly flexible slender structures is presented. The flexible structures are modeled via a finite element (FE) discretization of a geometrically exact two-dimensional beam model, which entirely preserves the geometrical nonlinearities inherent…
Journal of Sound and Vibration. 2023;548:117534.
DOI : 10.1016/j.jsv.2022.117534
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 of gear interactions. We consider that the variable part of the stiffness is composed of several harmonics, and that the forcing term contains…
Meccanica. 2022;57(10):2447-2471.
DOI : 10.1007/s11012-022-01583-9
Centrifugal pendulum vibration absorbers (CPVA) are used in the automobile industry to reduce the vibrations of the transmission system. These passive devices are made of several masses oscillating along a given trajectory relative to the rotor. In this paper, the dynamic stability of a new class of…
Journal of Sound and Vibration. 2022;517:116525.
DOI : 10.1016/j.jsv.2021.116525
Rotating machines are often subjected to fluctuating torques, leading to vibrations of the rotor and finally to premature fatigue and noise pollution. This work addresses a new design of centrifugal pendulum vibration absorbers (CPVAs), used to reduce the vibrations in an automotive transmission lin…
Mechanical Systems and Signal Processing. 2022;177:109125.
DOI : 10.1016/j.ymssp.2022.109125
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 iterative spectral method (ISM) and on the harmonic balance method (HBM). It is shown that the dynamic transmission error (DTE) can be obtained in th…
Forschung im Ingenieurwesen. 2022..
DOI : 10.1007/s10010-021-00571-x
The automotive industry uses centrifugal pendulum vibration absorbers (CPVAs) to reduce vibrations of the transmission system. These passive devices are made of several masses oscillating along a given path relative to a rotor. This work addresses a recent design of CPVA, in which the pendulums are …
Journal of Sound and Vibration. 2022;536:117157.
DOI : 10.1016/j.jsv.2022.117157
In this paper, we study and compare performance and robustness of linear and nonlinear Lanchester dampers. The linear Lanchester damper consists of a small mass attached to a primary system through a linear dashpot, whereas the nonlinear Lanchester damper is linked to the primary mass through dry fr…
Nonlinear Dynamics. 2020;100(1):269-287.
DOI : 10.1007/s11071-020-05512-x
In this work we apply and compare two algorithms for setting up Harmonic Balance equations and numerical continuation of the solution path for harmonically driven mechanical systems. The first algorithm relies on a predictor-corrector scheme and an Alternating Frequency-Time approach (AFT-PreCo). Th…
Mechanical Systems and Signal Processing. 2020;136:106503.
DOI : 10.1016/j.ymssp.2019.106503
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 may arise due to alack of symmetry, as for example induced by inhomogeneities. However…
Mechanical Systems and Signal Processing. 2019;117:280-292.
DOI : 10.1016/j.ymssp.2018.08.011
Many engineering structures are composed of weakly coupled sectors assembled in a cyclic and ideally symmetric configuration, which can be simplified as forced Duffing oscillators. In this paper, we study the emergence of localized states in the weakly nonlinear regime. We show that multiple spatial…
Journal of Sound and Vibration. 2019;440:202-211.
DOI : 10.1016/j.jsv.2018.10.028
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.…
Journal of Sound and Vibration. 2019;438:54-65.
DOI : 10.1016/j.jsv.2018.09.002
This paper presents a general methodology to compute nonlinear frequency responses of flat structures subjected to large amplitude transverse vibrations, within a finite element context. A reduced-order model (ROM)is obtained by an expansion onto the eigenmode basis of the associated linearized prob…
Nonlinear Dynamics. 2019;97(2):1747-1781.
DOI : 10.1007/s11071-019-05021-6
Friction-induced vibrations are known to affect many engineering applications. Here, we study a chain of friction-excited oscillators with nearest neighbor elastic coupling. The excitation is provided by a moving belt which moves at a certain velocity v d while friction is modelled with an exponenti…
Journal of Sound and Vibration. 2018;417:56-64.
DOI : 10.1016/j.jsv.2017.11.056
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-weight structures deviate from linear behaviour, and complex nonlinear phenomena can be expected. We consider a cyclically …
Journal of Sound and Vibration. 2018..
DOI : 10.1016/j.jsv.2017.08.004
Snaking bifurcations in a chain of mechanical oscillators are studied. The individual oscillators are weakly nonlinear and subject to self-excitation and subcritical Hopf-bifurcations with some parameter ranges yielding bistability. When the oscillators are coupled to their neighbours, snaking bifur…
Communications in Nonlinear Science and Numerical Simulation. 2017;44:108-119.
DOI : 10.1016/j.cnsns.2016.08.004
Envelope solitons are demonstrated to exist in non-linear discrete structures with cyclic symmetry. The analysis is based on the Non-Linear Schrodinger Equation for the weakly non-linear limit, and on numerical simulation of the fully non-linear equations for larger amplitudes. Envelope solitons exi…
Mechanical Systems and Signal Processing. 2016;81:75-87.
DOI : 10.1016/j.ymssp.2016.02.062
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 polynomial equations whose solutions give the frequency component of the possible steady states. Groebner basis methods are used for computing…
Mechanical Systems and Signal Processing. 2015;52-53:529-547.
DOI : 10.1016/j.ymssp.2014.07.015
This paper is intended to present a new harmonic selection technique when solving nonlinear dynamic systems with the harmonic balance method. This technique belongs to the class of method called the adaptive harmonic balance method (AHBM). The harmonic selection is based on the use of a tangent pred…
Mechanical Systems and Signal Processing. 2012;30:43-60.
DOI : 10.1016/j.ymssp.2012.01.024
This work program is devoted to studying the nonlinear dynamics of a structure with cyclic symmetry under conditions of geometric nonlinearity, through the use of the harmonic balance method (HBM). In order to study the influence of nonlinearity due to the large deflection of blades, a simplified mo…
Journal of Sound and Vibration. 2012;331(12):2911-2928.
DOI : 10.1016/j.jsv.2012.02.008
Introducing non-linearities into models contributes towards a better reality description but leads to systems having multiple solutions. It is then legitimate to look for all the solutions of such systems, that is to have a global analysis approach. However no effective method can be found in litera…
International Journal of Non-Linear Mechanics. 2011;46(5):727--737.
DOI : 10.1016/j.ijnonlinmec.2011.02.005
This work is devoted to the study of nonlinear dynamics of structures with cyclic symmetry under geometrical nonlinearity using the harmonic balance method (HBM). In order to study the influence of the nonlinearity due to large deflection of blades, a simplified model has been developed. It leads to…
Journal of Engineering for Gas Turbines and Power. 2011;133(2):022502.
DOI : 10.1115/1.4001989
Cet article est dédiéà l'étude des vibrations libres et forcées d'une structureà symétrie cyclique, soumiseà des non-linéarités géométriques, par la méthode de la balance harmonique (HBM). Dans le but d'étudier l'influence des non-linéarités un modèle simplifié aété développé. Après ajustement des p…
Mécanique et Industries. 2010;11(6):453-463.
DOI : 10.1051/meca/2010047