Olivier
Thomas
Campus
Lille
Statut
Professeur(e)
Mail : olivier.thomas @ ensam.eu
Biographie

Olivier Thomas received the M.Sc. degree in mechanical engineering from École Normale Supérieure de Cachan, Cachan, France, and the Ph.D. degree from Pierre et Marie Curie University of Paris, Paris, France, and Telecom ParisTech, Paris, France, in 2001. He spent nine years in Conservatoire National des Arts et Métiers, Paris, as an Assistant Professor and he has been a Full Professor in mechanical engineering at Arts et Metiers Institute of Technology, Lille, France, since 2012. He is the Head of a research group of 2 assistant professors and 6 Ph.D. candidates/postdoctorates.

Enseignements
  • Structural mechanics (1st. year)
  • Piezoelectric energy harvesting (project, 1st. year)
  • Vibration of mechanical systems, mechanics of nonlinear systems (2nd. & 3rd. year)
  • Tuned mass damper project (2nd. year)

Recherche

  • Nonlinear dynamics and vibrations of mechanical systems and structures. Geometrical nonlinearities.
  • Modelling, experiments and numerical methods for linear and nonlinear structural dynamics
  • Nonlinear model reduction. Nonlinear modes.
  • Smart electromechanical systems (piezoelectric and electromagnetic coupling)
  • Applications to vibration absorbers: mechanical (tuned mass dampers) or electromechanical shunts (resistive, resonant, negative capacitance)
  • Applications to micro/nano electromechanical systems
  • Applications to nonlinear percussion musical instruments: gongs, cymbals, steel-pans

Publications

de La Bigne M, Cattan E, Ghenna S, Grondel S, Thomas O.
This article presents the optimisation of an electromagnetic actuator composed of a toroidal coil and a cylindrical magnet positioned along the coil’s axis that may be used for non-contact measurement of excitation of structures, for vibration testing, electromagnetic shunts or energy harvesting. Th…
Journal of Sound and Vibration. 2026;119783.
DOI : 10.1016/j.jsv.2026.119783
Grolet A, Touzé C, de Figueiredo Stabile A, Thomas O.
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
Liu S, Pile R, Petit R, Pérot-Le Gal J, Thomas O, Benacchio S.
<div>Attenuation mechanism Transfer matrix modeling Insertion loss<p>In this paper, an analytical model of the air-conducted sound propagation in an earplug equipped with a film filter is proposed to explain and predict its acoustic attenuation. The model is developed using the transfer matrix (TM) …
Applied Acoustics. 2025;240:110919.
DOI : 10.1016/j.apacoust.2025.110919
Haudeville A, Amandolese X, Lossouarn B, Giraud-Audine C, Thomas O.
The present work investigates the ability of a reduced-order fluid–structure model to estimate the vortex-induced vibrations (VIV) of marine lifting surface under hydrodynamic flow, such as hydrofoils. A particular VIV area is scrutinized, for which a hydrodynamic excitation mechanism due to a Kármá…
Journal of Fluids and Structures. 2025;139:104442.
DOI : 10.1016/j.jfluidstructs.2025.104442
Fayolle H, Giraud-Audine C, Thomas O.
<div><p>The behaviour and performance of a flexible beam piezoelectric energy harvester (PEH) in direct and parametric excitation, including the effect of geometrical nonlinearities, are addressed in this paper. First, the electromechanical modelling of the harvester is addressed. A Timoshenko geome…
Journal of Sound and Vibration. 2025;619:119343.
DOI : 10.1016/j.jsv.2025.119343
de La Bigne M, Colin M, Cattan E, Ghenna S, Zwingelstein M, Grondel S et al.
Abstract This article presents the design of a microfabricated bio-inspired flapping-wing Nnano Aaerial Vvehicle (NAV), driven by an electromagnetic system. Our approach is based on artificial wings composed of rigid bodies connected by compliant links, which optimise aerodynamic forces though repli…
Journal of Bionic Engineering. 2025..
DOI : 10.1007/s42235-025-00761-1
Mahé V, Renault A, Grolet A, Mahé H, Thomas O.
<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
Bayer F, Leine R, Thomas O, Grolet A.
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
Mahé V, Grolet A, Renault A, Mahé H, Thomas O.
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
Debeurre M, Grolet A, Thomas O.
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
Debeurre M, Benacchio S, Grolet A, Grenat C, Giraud-Audine C, Thomas O.
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
Grolet A, Vizzaccaro A, Debeurre M, Thomas O.
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
Mahé V, Renault A, Grolet A, Mahé H, Thomas O.
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
Veglia A, Bistolas K, Voolstra C, Hume B, Ruscheweyh H, Planes S et al.
Abstract Endogenous viral elements (EVEs) offer insight into the evolutionary histories and hosts of contemporary viruses. This study leveraged DNA metagenomics and genomics to detect and infer the host of a non-retroviral dinoflagellate-infecting +ssRNA virus (dinoRNAV) common in coral reefs. As pa…
Communications Biology. 2023;6(1):566.
DOI : 10.1038/s42003-023-04917-9
Mahé V, Renault A, Grolet A, Mahé H, Thomas O.
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
Mahé V, Renault A, Grolet A, Mahé H, Thomas O.
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
Debeurre M, Grolet A, Thomas O.
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
Martin A, Opreni A, Vizzaccaro A, Debeurre M, Salles L, Frangi A et al.
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 invariant-based span of the phase space. It can be directly applied to fin…
Journal of Theoretical, Computational and Applied Mechanics. 2023;1-31.
DOI : 10.46298/jtcam.10430
Debeurre M, Grolet A, Cochelin B, Thomas O.
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
Abboud E, Grolet A, Mahé H, Thomas O.
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
Shami Z, Shen Y, Giraud-Audine C, Touzé C, Thomas O.
This article considers the nonlinear dynamics of coupled oscillators featuring strong coupling in 1:2 internal resonance. In forced oscillations, this particular interaction is the source of energy exchange, leading to a particular shape of the response curves, as well as quasi-periodic responses an…
Meccanica. 2022..
DOI : 10.1007/s11012-022-01566-w
Ugwuanyi N, Kestelyn X, Thomas O, Marinescu B, Wang B.
This paper proposes a new system-level application for monitoring out-of-step (OOS) events in power systems. As already known, amplitude-dependent frequency shift is a nonlinear phenomenon of electromechanical oscillations under large disturbances. The frequency shift indicates the system's nearness…
Electric Power Systems Research. 2022;208:107873.
DOI : 10.1016/j.epsr.2022.107873
Shami Z, Giraud-Audine C, Thomas O.
In this paper, a semi-passive nonlinear piezoelectric shunt absorber is presented, aiming at attenuating the vibration of a resonant elastic structure under external excitation. This is done by connecting the elastic structure to a nonlinear shunt circuit via a piezoelectric patch. The nonlinear shu…
Mechanical Systems and Signal Processing. 2022;170:108768.
DOI : 10.1016/j.ymssp.2021.108768
Ugwuanyi N, Clenet S, Kestelyn X, Thomas O.
Closed-form formulations are difficult to find when the material behavior law is nonlinear. A linear approximation, on the other hand, has a very narrow range of validity. In this communication, the Normal Form (NF) method is employed to solve a 1-D nonlinear magnetodynamic problem. The discrete mod…
IEEE Transactions on Magnetics. 2022;58(9):4p..
DOI : 10.1109/tmag.2022.3161057
Benacchio S, Giraud-Audine C, Thomas O.
Parametrically excited oscillators are used in several domains, in particular to improve the dynamical behaviour of systems like in the case of the parametric amplification or parametric energy harvesting. Although dry friction is often omitted during system modelling due to the complexity of its no…
Nonlinear Dynamics. 2022;108(2):1005-1026.
DOI : 10.1007/s11071-022-07233-9
Mahé V, Renault A, Grolet A, Mahé H, Thomas O.
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
Shami Z, Giraud-Audine C, Thomas O.
An experimental proof of concept of a new semi-passive nonlinear piezoelectric shunt absorber, introduced theoretically in a companion article, is presented in this work. This absorber is obtained by connecting, through a piezoelectric transducer, an elastic structure to a resonant circuit that incl…
Smart Materials and Structures. 2022;31(3):035006.
DOI : 10.1088/1361-665x/ac4ab5
Hans P, Mocuta C, Richard M, Benoit D, Boivin P, Le-Friec Y et al.
To passivate Si-SiO2 dangling bonds, metal–oxide–semiconductor field-effect transistor devices are usually treated with hydrogen. Herein, the effects of such a treatment on the crystallization behavior on N-doped, Ge-rich Ge2Sb2Te5 phase-change materials for memory applications are investigated usin…
physica status solidi (RRL) - Rapid Research Letters (pss RRL). 2022;16(9):2100658.
DOI : 10.1002/pssr.202100658
Mahé V, Renault A, Grolet A, Thomas O, Mahé H.
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
Mahé V, Renault A, Grolet A, Thomas O, Mahé H.
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
Abboud E, Grolet A, Mahé H, Thomas O.
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
Neukirch S, Yavari M, Challamel N, Thomas O.
We compare different models describing the buckling, post-buckling and vibrations of elastic beams in the plane. Focus is put on the first buckled equilibrium solution and the first two vibration modes around it. In the incipient post-buckling regime, the classic Woinowsky-Krieger model is known to …
Journal of Theoretical, Computational and Applied Mechanics. 2021;1-18.
DOI : 10.46298/jtcam.6828
Auleley M, Giraud-Audine C, Mahe H, Thomas O.
This article proposes a novel mean for tuning the natural frequency of an electromagnetic resonant shunt, using a pulse-width modulation (PWM) circuit. It is used to modulate the value of the capacitance of the shunt, and the electrical frequency is shown to be proportional to the command parameter …
Journal of Sound and Vibration. 2021;500:116018.
DOI : 10.1016/j.jsv.2021.116018
Shen Y, Vizzaccaro A, Kesmia N, Yu T, Salles L, Thomas O et al.
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 are compared: the implicit condensation and expansion (ICE), the quadratic mani…
Vibration. 2021;4:175-204.
DOI : 10.3390/vibration4010014
Givois A, Deü J, Thomas O.
A reduced-order modelling to predictively simulate the dynamics of piezoelectric structures with geometric nonlinearities is proposed in this paper. A formulation of three-dimensional finite element models with global electric variables per piezoelectric patch, and suitable with any commercial finit…
Computers & Structures. 2021;253:106575.
DOI : 10.1016/j.compstruc.2021.106575
Berardengo M, Manzoni S, Thomas O, Vanali M.
This paper addresses the vibration attenuation provided by the resonant piezoelectric shunt enhanced by means of negative capacitances. The shunt impedance is composed by one or two negative capacitances, a resistance and an inductance. It is shown that closed analytical formulations, common to all …
Journal of Intelligent Material Systems and Structures. 2021;32(17):2092-2107.
DOI : 10.1177/1045389x20986991
Berardengo M, Manzoni S, Thomas O, Giraud-Audine C, Drago L, Marelli S et al.
One way to enhance the performance of vibration control with piezoelectric shunt is to use a negative capacitance in the shunt circuit. This component is very effective and provides good results in terms of attenuation improvement without significantly increasing the complexity of the shunt network.…
Journal of Sound and Vibration. 2021;506:116163.
DOI : 10.1016/j.jsv.2021.116163
Touzé C, Vizzaccaro A, Thomas O.
This paper aims at reviewing nonlinear methods for model order reduction of structures with geometric nonlinearity, with a special emphasis on the techniques based on invariant manifold theory. Nonlinear methods differ from linear-based techniques by their use of a nonlinear mapping instead of addin…
Nonlinear Dynamics. 2021;105
DOI : 10.1007/s11071-021-06693-9
Givois A, Giraud-Audine C, Deü J, Thomas O.
Piezoelectric devices with integrated actuation and sensing capabilities are often used for the development of electromechanical systems. The present paper addresses experimentally the nonlinear dynamics of a fully integrated circular piezoelectric thin structure, with piezoelectric patches used for…
Nonlinear Dynamics. 2020;102(3):1451-1462.
DOI : 10.1007/s11071-020-05997-6
Auleley M, Thomas O, Giraud-Audine C, Mahé H.
In this study, we address the reduction of structural vibrations by means of an electromagnetic shunt damper (EMSD) combined with a mechanical dynamic vibration absorber (DVA). Two architectures, that differs in the placement of the EMSD with respect to the DVA, are tested, showing that one of them …
Journal of Intelligent Material Systems and Structures. 2020;32(3):331-354.
DOI : 10.1177/1045389x20957097
Colin M, Thomas O, Grondel S, Cattan E.
This article presents a theoretical, numerical and experimental study of resonant structures undergoing very large amplitude vibrations. The purpose of this work is to validate a model for the damping due to the action of the air on a structure's single-mode response in the steady-state. Experiments…
Journal of Fluids and Structures. 2020;97:103056.
DOI : 10.1016/j.jfluidstructs.2020.103056
Ugwuanyi N, Kestelyn X, Marinescu B, Thomas O.
Increasing nonlinearity in today’s grid challenges the conventional small-signal (modal) analysis (SSA) tools. For instance, the interactions among modes, which are not captured by SSA, may play significant roles in a stressed power system. Consequently, alternative nonlinear modal analysis tools, n…
Energies. 2020..
DOI : 10.3390/en13051249
Guillot V, Givois A, Colin M, Thomas O, Ture Savadkoohi A, Lamarque C.
Experimental and theoretical results on the nonlinear dynamics of a homogeneous thin beam equipped with piezoelectric patches, presenting internal resonances, are provided. Two configurations are considered: a unimorph configuration composed of a beam with a single piezoelectric patch and a bimorph …
Journal of Vibration and Control. 2020;107754632091053.
DOI : 10.1177/1077546320910536
Saya D, Dezest D, Welsh A, Mathieu F, Thomas O, Leichle T et al.
A piezoelectric nanoelectromechanical system (NEMS) with integrated actuation and detection capabilities was fabricated using lead zirconate titanate (PZT) thin films patterned by microcontact printing. PZT-coated cantilever resonators of various dimensions were fabricated to assess the variability …
Journal of Micromechanics and Microengineering. 2020;30(3):035004.
DOI : 10.1088/1361-6439/ab60bf
Givois A, Tan J, Touzé C, Thomas O.
A system composed of two cubic nonlinear oscillators with close natural frequencies, and thus displaying a 1:1 internal resonance, is studied both theoretically and experimentally, with a special emphasis on the free oscillations and the backbone curves. The instability regions of uncoupled solution…
Meccanica. 2020;55(3):481-503.
DOI : 10.1007/s11012-020-01132-2
Vakilinejad M, Grolet A, Thomas O.
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
Ugwuanyi N, Kestelyn X, Thomas O, Marinescu B, Messina A.
The inclusion of higher-order terms in small-signal (modal) analysis augments the information provided by linear analysis and enables better dynamic characteristic studies on the power system. This can be done by applying Normal Form theory to simplify the higher order terms. However, it requires th…
IEEE Transactions on Power Systems. 2020;10.
DOI : 10.1109/TPWRS.2020.2967452
Guillot L, Lazarus A, Thomas O, Vergez C, Cochelin B.
Since the founding theory established by G. Floquet more than a hundred years ago, computing the stability of periodic solutions has given rise to various numerical methods, mostly depending on the way the periodic solutions are themselves determined , either in the time domain or in the frequency d…
Journal of Computational Physics. 2020;416:109477.
DOI : 10.1016/j.jcp.2020.109477
Vizzaccaro A, Givois A, Longobardi P, Shen Y, Deü J, Salles L et al.
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 the static application of prescribed displacements in a finite-element context. …
Computational Mechanics. 2020;66(6):1293-1319.
DOI : 10.1007/s00466-020-01902-5
Renault A, Thomas O, Mahé H.
Tuned dynamic absorbers are usually used to counteract vibrations at a given frequency. Presence of non-linearities causes energy-dependent relationship of their resonance and antiresonance frequencies at large amplitude of motion, which consequently leads to adetuning of the absorber from the targe…
Mechanical Systems and Signal Processing. 2019;116:963-984.
Vincent P, Descombin A, Dagher S, Seoudi T, Lazarus A, Thomas O et al.
In this work we study the nonlinear coupling between the transverse modes of nanoresonators such as nanotubes or nanowires in a singly clamped configuration. We previously showed that at high driving, this coupling could result in a transition from independent planar modes to a locked elliptical mot…
Journal of Applied Physics. 2019;125(4):044302.
DOI : 10.1063/1.5053955
Givois A, Grolet A, Thomas O, Deü J.
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
Faux D, Thomas O, Grondel S, Cattan E.
This paper addresses the design of the elastic structure of artificial wings to optimize their dynamical behaviour to reproduce insect wings kinematics. Our bioinspired kinematics is based on the original concept of using the resonant properties of the wing structure in order to combine the motion o…
Journal of Sound and Vibration. 2019;460:114883.
DOI : 10.1016/j.jsv.2019.114883
Jossic M, Thomas O, Denis V, Chomette B, Mamou-Mani A, Roze D.
The framework of nonlinear normal modes gives a remarkable insight into the dynamics of nonlin-ear vibratory systems exhibiting distributed nonlinearities. In the case of Chinese opera gongs, geo-metrical nonlinearities lead to a pitch glide of several vibration modes in playing situation. This stud…
Journal of the Acoustical Society of America. 2018;144(1):431-442.
DOI : 10.1121/1.5038114
Manrique-Juarez M, Mathieu F, Laborde A, Rat S, Shalabaeva V, Demont P et al.
[FeII(Htrz)2(trz)](BF4) spin crossover particles of 85 nm mean size are dispersed in an SU‐8 polymer matrix and spray‐coated onto silicon microcantilevers. The subsequent photothermal treatment of the polymer resist leads to micrometer thick, smooth, and homogeneous coatings, which exhibit well‐repr…
Advanced Functional Materials. 2018;28(29):1801970.
DOI : 10.1002/adfm.201801970
Berardengo M, Manzoni S, Thomas O, Vanali M.
This article addresses piezoelectric shunt damping through a resonant shunt associated with negative capacitances. The main objective of this article is to provide guidelines for choosing the best electrical circuit layout in terms of control performance and possible stability issues. This article p…
Journal of Intelligent Material Systems and Structures. 2018;29(12):2581-2606.
Faux D, Cattan E, Thomas O, Grondel S.
This paper presents an original concept using a two resonant vibration modes combined motion to reproduce insect wings kinematics and generate lift. The key issue is to design the geometry and the elastic characteristics of artificial wings such that a combination of flapping and twisting motions in…
EPL - Europhysics Letters. 2018;121(6):66001.
DOI : 10.1209/0295-5075/121/66001
Tian T, Kestelyn X, Thomas O, Amano H, Messina A.
The inclusion of higher-order terms in small-signal (modal) analysis has been an intensive research topic in nonlinear power system analysis. Inclusion of second-order terms with the method of normal forms (MNF) has been well developed and investigated, overcoming the linear conventional small-signa…
IEEE Transactions on Power Systems. 2018;33(2):2128-2139.
DOI : 10.1109/TPWRS.2017.2737462
Cottanceau E, Thomas O, Véron P, Alochet M, Deligny R.
In this paper, a method for the quasi-static simulation of flexible cables assembly in the context of automotive industry is presented. The cables geometry and behavior encourage to employ a geometrically exact beam model. The 3D kinematics is then based on the position of the centerline and on the …
Finite Elements in Analysis and Design. 2018;139:14-34.
DOI : 10.1016/j.finel.2017.10.002
Cottanceau E, Thomas O, Veron P, Alochet M, Deligny R.
In this paper, a method for the quasi-static simulation of flexible cables assembly in the context of automotive industry is presented. The cables geometry and behavior encourage to employ a geometrically exact beam model. The 3D kinematics is then based on the position of the centerline and on the …
Finite Elements in Analysis and Design. 2018;139:14-34.
DOI : 10.1016/j.finel.2017.10.002
Denis V, Jossic M, Giraud-Audine C, Chomette B, Renault A, Thomas O.
In this article, we address the model identication of nonlinear vibratory systems, with a specic focus on systems modeled with distributed nonlinearities, such as geometrically nonlinear mechanical structures. The proposed strategy theoretically relies on the concept of nonlinear modes of the underl…
Mechanical Systems and Signal Processing. 2018;106:430-452.
DOI : 10.1016/j.ymssp.2018.01.014
Ribeiro P, Thomas O.
A nonlocal Bernoulli–Euler p-version finite-element (p-FE) is developed to investigate nonlinear modes of vibration and to analyze internal resonances of beams with dimensions of a few nanometers. The time domain equations of motion are transformed to the frequency domain via the harmonic balance me…
Journal of Computational and Nonlinear Dynamics. 2017;12(3):031017-1-031017-11.
DOI : 10.1115/1.4035060
Berardengo M, Thomas O, Giraud-Audine C, Manzoni S.
This paper deals with vibration control by means of piezoelectric patches shunted with electrical impedances made up by a resistance and a negative capacitance. The paper analyses most of the possible layouts by which a negative capacitance can be built and shows that a common mathematical descripti…
Smart Materials and Structures. 2016;25:075033.
DOI : 10.1088/0964-1726/25/7/075033
Thomas O, Sénéchal A, Deü J.
This work addresses the large amplitude nonlinear vibratory behavior of a rotating cantilever beam, with applications to turbomachinery and turbopropeller blades. The aim of this work is twofold. Firstly, we investigate the effect of rotation speed on the beam nonlinear vibrations and especially on …
Nonlinear Dynamics. 2016;86(2):1293-1318.
DOI : 10.1007/s11071-016-2965-0
Berardengo M, Thomas O, Giraud-Audine C, Manzoni S.
This paper deals with piezoelectric shunt damping enhanced with negative capacitances. A novel electrical circuit layout is addressed, based on the use of two negative capacitances. It is shown that the shunt performances, in terms of vibration reduction and stability margins, are increased as compa…
Journal of Intelligent Material Systems and Structures. 2016;1-17.
DOI : 10.1177/1045389X16667556
Touzé C, Thomas O.
Dans cet article nous nous intéressons aux idio-phones à plaques et coques dont le comportement est fortement non linéaire. Nous traiterons du cas des cymbales, des gongs – et plus particulièrement des tam-tams – ainsi que de la plaque tonnerre. Ces instruments sont distingués des précédents, dits «…
Musique & Technique. 2016;6:51-63.
Thomas O, Monteil M, Touzé C.
Dans cet article, ainsi que le suivant, on s'intéresse aux idiophones à plaque et à coque. Cette famille englobe des instruments aussi divers que la cloche d'église, le bol tibétain, les divers types de gongs, les cymbales ou encore les plaques tonnerre, dont le corps sonore à la forme d'une plaque,…
Musique & Technique. 2016;6:34-50.
Bilbao S, Thomas O, Touzé C, Ducceschi M.
This article is concerned with the numerical solution of the full dynamical von Karman plate equations for geometrically nonlinear (large-amplitude) vibration. This system is composed of three equations describing the time evolution of the transverse displacement field, as well as the two longitudin…
Numerical Methods for Partial Differential Equations. 2015;31(6)
DOI : 10.1002/num.21974
Monteil M, Thomas O, Touzé C.
The vibrations and sounds produced by two notes of a double second steelpan are investigated, the main objective being to quantify the nonlinear energy exchanges occurring between vibration modes that are responsible of the peculiar sound of the instrument. A modal analysis first reveals the particu…
Applied Acoustics. 2015;89:1-15.
DOI : 10.1016/j.apacoust.2014.08.008
Dezest D, Thomas O, Mathieu F, Mazenq L, Soyer C, Costecalde J et al.
In this paper we report an unprecedented level of integration of self-actuated nanoelectromechanical system (NEMS) resonators based on a 150 nm thick lead zirconate titanate (PZT) thin film at the wafer-scale. A top-down approach combining ultraviolet (UV) lithography with other standard planar proc…
Journal of Micromechanics and Microengineering. 2015;25(3):35002-35013.
DOI : 10.1088/0960-1317/25/3/035002
In-plane vibrations of an elastic rod clamped at both extremities are studied. The rod is modeled as an extensible planar Kirchhoff elastic rod under large displacements and rotations. Equilibrium configurations and vibrations around these configurations are computed analytically in the incipient po…
Journal of Sound and Vibration. 2014;333(3):962-970.
DOI : 10.1016/j.jsv.2013.10.009
Monteil M, Touzé C, Thomas O, Benacchio S.
This paper is devoted to the analysis of nonlinear forced vibrations of two particular three degrees-of-freedom (dofs) systems exhibiting second orderinternal resonances resulting from a harmonic tuning of their natural frequencies.The first model considers three modes with eigenfrequencies ω1, ω2, …
Nonlinear Dynamics. 2014;75(1-2):175-200.
DOI : 10.1007/s11071-013-1057-7
Thomas O, Mathieu F, Mansfield W, Huang C, Trolier-Mckinstry S, Nicu L.
We report, in this work, on unprecedented levels of parametric amplification in microelectromechanical resonators, operated in air, with integrated piezoelectric actuation and sensing capabilities. The method relies on an analytical/numerical understanding of the influence of geometrical nonlinearit…
Applied Physics Letters. 2013;102(16):163504.
DOI : 10.1063/1.4802786
Lazarus A, Thomas O, Deü J.
This article presents a finite element reduced order model for the nonlinear vibrations of piezoelectric layered beams with application to NEMS. In this model, the geometrical nonlinearities are taken into account through a von Kármán nonlinear strain–displacement relationship. The originality of th…
Finite Elements in Analysis and Design. 2012;49(1):35-51.
DOI : 10.1016/j.finel.2011.08.019
Thomas O, Ducarne J, Deü J.
This work addresses passive reduction of structural vibration by means of shunted piezoelectric patches. The two classical resistive and resonant shunt solutions are considered. The main goal of this paper is to give closed-form solutions to systematically estimate the damping performances of the sh…
Smart Materials and Structures. 2012;21(1):015008.
DOI : 10.1088/0964-1726/21/1/015008
Lamarque C, Touzé C, Thomas O.
Perturbation methods are routinely used in all fields of applied mathematics where analytical solutions for nonlinear dynamical systems are searched. Among them, normal form theory provides a reliable method for systematically simplifying dynamical systems via nonlinear change of coordinates, and is…
Nonlinear Dynamics. 2012;70(3):1931-1949.
DOI : 10.1007/s11071-012-0584-y
Guillon S, Saya D, Mazenq L, Perisanu S, Vincent P, Lazarus A et al.
In this paper, we investigate the effects of non-ideal clamping shapes on the dynamic behavior of silicon nanocantilevers. We fabricated silicon nanocantilevers using silicon on insulator (SOI) wafers by employing stepper ultraviolet (UV) lithography, which permits a resolution of under 100 nm. The …
Nanotechnology. 2011;22(24):id 245501.
DOI : 10.1088/0957-4484/22/24/245501
Touzé C, Thomas O, Amabili M.
The transition from periodic to chaotic vibrations in free-edge, perfect and imperfect circular plates, is numerically studied. A pointwise harmonic forcing with constant frequency and increasing amplitude is applied to observe the bifurcation scenario. The von Kármán equations for thin plates, incl…
International Journal of Non-Linear Mechanics. 2011;46(1):234-246.
DOI : 10.1016/j.ijnonlinmec.2010.09.004
Lazarus A, Thomas O.
In this Note, we present a harmonic-based numerical method to determine the local stability of periodic solutions of dynamical systems. Based on the Floquet theory and the Fourier series expansion (Hill method), we propose a simple strategy to sort the relevant physical eigenvalues among the expande…
Comptes Rendus. Mécanique. 2010;338(9):510-517.
DOI : 10.1016/j.crme.2010.07.020
Thomas O, Nicu L, Touzé C.
This study proposes a model of a circular, non-symetrically laminated, piezoelectric plate, subjected to non-linear large amplitude vibrations. This model is built to simulate the behavior of a MEMS bio-sensor, designed to detect, automatically and autonomously, the presence of a given molecule in a…
Mécanique et Industries. 2009;10(3-4):311-316.
DOI : 10.1051/meca/2009057
Thomas O, Deü J, Ducarne J.
This article is devoted to the numerical simulation of the vibrations of an elastic mechanical structure equipped with several piezoelectric patches, with applications for the control, sensing and reduction of vibrations. At first, a finite element formulation of the coupled electromechanical proble…
International Journal for Numerical Methods in Engineering. 2009;80(2):235-268.
DOI : 10.1002/nme.2632
Camier C, Touzé C, Thomas O.
Large-amplitude, geometrically non-linear vibrations of free-edge circular plates with geometric imperfections are addressed in this work. The dynamic analog of the von Kármán equations for thin plates, with a stress-free initial deflection, is used to derive the imperfect plate equations of motion.…
European Journal of Mechanics - A/Solids. 2009;28:500-515.
DOI : 10.1016/j.euromechsol.2008.11.005
Touzé C, Amabili M, Thomas O.
Non-linear normal modes (NNMs) are used in order to derive reduced-order models for large amplitude, geometrically non-linear vibrations of thin shells. The main objective of the paper is to compare the accuracy of different truncations, using linear and non-linear modes, in order to predict the res…
Computer Methods in Applied Mechanics and Engineering. 2008;197(21-24):2030-2045.
DOI : 10.1016/j.cma.2008.01.002
Touzé C, Camier C, Favraud G, Thomas O.
The effect of geometric imperfections and viscous damping on the type of nonlinearity (i.e., the hardening or softening behaviour) of circular plates and shallow spherical shells with free edge is here investigated. The Von Kármán large-deflection theory is used to derive the continuous models. Then…
Mathematical Problems in Engineering. 2008;2008:678307.
DOI : 10.1155/2008/678307
Thomas O, Bilbao S.
This study is devoted to the derivation of some properties of the von Kármán equations for geometrically nonlinear models of plates, with a boundary of arbitrary shape, for applications to nonlinear vibration and buckling. An intrinsic formulation of the local partial differential equations in terms…
Journal of Sound and Vibration. 2008;315(3):569-590.
DOI : 10.1016/j.jsv.2008.04.014
Thomas O, Touzé C, Luminais É.
This study is devoted to the experimental validation of a theoretical model of large amplitude vibrations of thin spherical shells described in a previous study by the same authors. A modal analysis of the structure is first detailed. Then, a specific mode coupling due to a 1:1:2 internal resonance …
Nonlinear Dynamics. 2007;49(1-2):259-284.
DOI : 10.1007/s11071-006-9132-y
Touzé C, Thomas O.
Non-linear vibrations of free-edge shallow spherical shells are investigated, in order to predict the trend of non-linearity (hardening/softening behaviour) for each mode of the shell, as a function of its geometry. The analog for thin shallow shells of von Kármán's theory for large deflection of pl…
International Journal of Non-Linear Mechanics. 2006;41(5):678-692.
DOI : 10.1016/j.ijnonlinmec.2005.12.004
Touzé C, Chaigne A, Thomas O.
This paper is devoted to the derivation and the analysis of vibrations of shallow spherical shell subjected to large amplitude transverse displacement. The analog for thin shallow shells of von Kármán's theory for large deflection of plates is used. The validity range of the approximations is assess…
International Journal of Solids and Structures. 2005;42(11-12):3339-3373.
DOI : 10.1016/j.ijsolstr.2004.10.028
Chaigne A, Touzé C, Thomas O.
This paper summarizes some results obtained in the last few years for the modeling of nonlinear vibrating instruments such as gongs and cymbals. Linear, weakly nonlinear and chaotic regimes are successively examined. A theoretical mechanical model is presented, based on the nonlinear von Kármán equa…
Acoustical Science and Technology. 2005;26(5):403-409.
DOI : 10.1250/ast.26.403
Touzé C, Thomas O, Chaigne A.
The definition of a non-linear normal mode (NNM) as an invariant manifold in phase space is used. In conservative cases, it is shown that normal form theory allows one to compute all NNMs, as well as the attendant dynamics onto the manifolds, in a single operation. Then, a single-mode motion is stud…
Journal of Sound and Vibration. 2004;273(1-2):77-101.
DOI : 10.1016/j.jsv.2003.04.005
Touzé C, Thomas O, Huberdeau A.
Non-linear normal modes (NNMs) are used in order to derive accurate reduced-order models for large amplitude vibrations of structural systems displaying geometrical non-linearities. This is achieved through real normal form theory, recovering the definition of a NNM as an invariant manifold in phase…
Computers & Structures. 2004;82(31-32):2671-2682.
DOI : 10.1016/j.compstruc.2004.09.003
Thomas O, Touzé C, Chaigne A.
This article is devoted to an experimental validation of a theoretical model presented in an earlier contribution by the same authors. The non-linear forced vibrations of circular plates, with the excitation frequency close to the natural frequency of an asymmetric mode, are investigated. The experi…
Journal of Sound and Vibration. 2003;265(5):1075-1101.
DOI : 10.1016/s0022-460x(02)01564-x
Touzé C, Thomas O, Chaigne A.
In this article, a detailed study of the forced asymmetric non-linear vibrations of circular plates with a free edge is presented. The dynamic analogue of the von Kàrmàn equations is used to establish the governing equations. The plate displacement at a given point is expanded on the linear natural …
Journal of Sound and Vibration. 2002;258(4):649-676.
DOI : 10.1006/jsvi.2002.5143