THOMAS, Olivier BENACCHIO, Simon GIRAUD-AUDINE, Christophe
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 nonsmooth nature, it is sometimes necessary to accou...
MAHE, V. RENAULT, Alexandre GROLET, Aurélien THOMAS, Olivier MAHE, Hervé
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 CPVA is investigated. The particularity of this n...
SHAMI, Zein Alabidin THOMAS, Olivier GIRAUD-AUDINE, Christophe
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 includes a quadratic nonlinearity. This nonlinearity i...
ABBOUD, Eddy GROLET, Aurélien MAHÉ, Hervé THOMAS, Olivier
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 the frequency domain by solving a linear system of e...
GIVOIS, Arthur DEÜ, Jean-François THOMAS, Olivier
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 finite element code equipped with geometrically nonline...
BERARDENGO, Marta MANZONI, Stefano THOMAS, Olivier DRAGO, L. MARELLI, Stefano VANALI, Marcello GIRAUD-AUDINE, Christophe
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 pro- vides good results in terms of attenuation improvement without significantly increasing the complexity of the shunt network. However, negative capacitances are built using ...
TOUZÉ, Cyril VIZZACCARO, Alessandra THOMAS, Olivier
This paper aims at reviewing nonlinear methods for model order reduction in 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 adding new vectors to enlarge the projection basis. Inv...
NEUKIRCH, Sébastien YAVARI, Morteza CHALLAMEL, Noël THOMAS, Olivier
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 grasp the behavior of the system. It is based on t...
SHEN, Yichang VIZZACCARO, Alessandra KESMIA, Nassim SALLES, Loïc THOMAS, Olivier TOUZÉ, Cyril
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 manifold computed from modal derivatives (MD), and the...
GOGGINS, Katie A. CHADEFAUX, Delphine TARABINI, Marco ARSENAULT, Marc LIEVERS, W. Brent EGER, Tammy
Modelling the foot-ankle system (FAS) while exposed to foot-transmitted vibration (FTV) is essential for designing inhibition methods to prevent the effects of vibration-induced white-foot. K-means analysis was conducted on a data set containing vibration transmissibility from the floor to 24 anatomical locations on the right foot of 21 participant...