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20162020
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math.DS2020

Phase resonance nonlinear modes of mechanical systems

Martin Volvert, Gaetan Kerschen

The resonances of forced dynamical systems occur when either the amplitude of the frequency response undergoes a local maximum (amplitude resonance) or phase lag quadrature takes p…

math.DS2019

optimization of multiple tuned mass dampers for multimodal vibration control

Ghislain Raze, Gaetan Kerschen

In this paper, a new computational method for the purpose of multimodal vibration mitigation using multiple tuned mass dampers is proposed. Classically, the minimization of the max…

math.DS2017

Isolated resonances and nonlinear damping

Giuseppe Habib, Giuseppe Ilario Cirillo, Gaetan Kerschen

We analyze isolated resonance curves (IRCs) in a single-degree-of-freedom system with nonlinear damping. The adopted procedure exploits singularity theory in conjunction with the h…

math.DS2016

Identification of Nonlinear Normal Modes of Engineering Structures under Broadband Forcing

J. P. Noël, L. Renson, C. Grappasonni +1

The objective of the present paper is to develop a two-step methodology integrating system identification and numerical continuation for the experimental extraction of nonlinear no…

math.DS2016

The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

Thibaut Detroux, Ludovic Renson, Luc Masset +1

The harmonic balance (HB) method is widely used in the literature for analyzing the periodic solutions of nonlinear mechanical systems. The objective of this paper is to exploit th…

math.DS2016

Performance, robustness and sensitivity analysis of the nonlinear tuned vibration absorber

Thibaut Detroux, Giuseppe Habib, Luc Masset +1

The nonlinear tuned vibration absorber (NLTVA) is a recently-developed nonlinear absorber which generalizes Den Hartog's equal peak method to nonlinear systems. If the purposeful i…