Nonlinear modal properties of vibrating systems with nonsmooth (piecewise linear) characteristics typical of a beam with a breathing crack are investigated. The system is non linearizable and exhibits the peculiar feature of a number of nonlinear normal modes (NNMs) greater than the degrees of freedom. A parametric analysis of the NNMs has been performed for a wide range of the damage parameter: the influence of damage on the nonlinear frequencies has been investigated and bifurcations characterized by the onset of superabundant modes with or without internal resonance, have been revealed
This paper presents an investigation on the occurrence of bifurcating nonlinear normal modes with pa...
International audienceThe concept of 'non-linear normal mode' (NNM) is discussed. After providing so...
Modal testing and analysis is well-established for linear vibrating structures. While the common pra...
Nonlinear modal properties of a vibrating system with nonsmooth (piecewise linear) characteristics t...
A system with piecewise linear restoring forces, typical of damaged beams with a breathing crack, ex...
Several engineering systems present piecewise-linear characteristics, among them, the damaged beams ...
This paper addresses the study of the nonlinear dynamics of non-smooth systems representative of bea...
International audienceThis paper addresses the problem of vibrations of a cracked beam. In general, ...
The sensitivity of the nonlinear dynamic response to damage is investigated in simply supported beam...
A closing crack causes the dynamic behaviour of a vibrating system to be significantly nonlinear. Th...
The present paper analyzes the free and forced dynamics of a 2-DOF mechanical system with piecewise ...
Non-smooth systems may exhibit bifurcations characterized by the onset of superabundant modes in int...
The classical Lindstedt-Poincare method is adapted to analyze the nonlinear normal modes of a piecew...
Nonlinear normal modes (NNMs) provide a useful tool for extending modal analysis to nonlinear system...
Theoretical and experimental modal analysis, i.e., the computation of vibration modes from a mathema...
This paper presents an investigation on the occurrence of bifurcating nonlinear normal modes with pa...
International audienceThe concept of 'non-linear normal mode' (NNM) is discussed. After providing so...
Modal testing and analysis is well-established for linear vibrating structures. While the common pra...
Nonlinear modal properties of a vibrating system with nonsmooth (piecewise linear) characteristics t...
A system with piecewise linear restoring forces, typical of damaged beams with a breathing crack, ex...
Several engineering systems present piecewise-linear characteristics, among them, the damaged beams ...
This paper addresses the study of the nonlinear dynamics of non-smooth systems representative of bea...
International audienceThis paper addresses the problem of vibrations of a cracked beam. In general, ...
The sensitivity of the nonlinear dynamic response to damage is investigated in simply supported beam...
A closing crack causes the dynamic behaviour of a vibrating system to be significantly nonlinear. Th...
The present paper analyzes the free and forced dynamics of a 2-DOF mechanical system with piecewise ...
Non-smooth systems may exhibit bifurcations characterized by the onset of superabundant modes in int...
The classical Lindstedt-Poincare method is adapted to analyze the nonlinear normal modes of a piecew...
Nonlinear normal modes (NNMs) provide a useful tool for extending modal analysis to nonlinear system...
Theoretical and experimental modal analysis, i.e., the computation of vibration modes from a mathema...
This paper presents an investigation on the occurrence of bifurcating nonlinear normal modes with pa...
International audienceThe concept of 'non-linear normal mode' (NNM) is discussed. After providing so...
Modal testing and analysis is well-established for linear vibrating structures. While the common pra...