Non-linear stability analysis of a complex rotor/stator contact system

Sinou, Jean-Jacques; Thouverez, Fabrice; Jézéquel, L.

doi:10.1016/j.jsv.2003.10.048

Cited by 12 publications

(8 citation statements)

References 24 publications

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“…Brake, wiping and clutch systems are typical examples in car, railways, and aeronautic fields which have received a great interest [1][2][3][4][5]. Indeed, due to their negative effect on friction systems (noise, decrease and loss of performances), self friction-induced vibrations have been dealt with in numerous studies to understand how they occur in order to adequately model and predict them.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Random Self Friction-Induced Vibrations in Uncertain Dry Friction Systems Using a Multi-Element Generalized Polynomial Chaos Approach

Nechak¹,

Berger²,

Aubry³

2012

Journal of Vibration and Acoustics

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The prediction of self friction-induced vibrations is of major importance in the design of dry friction systems. This is known to be a challenging problem since dry friction systems are very complex nonlinear systems. Moreover, it has been shown that the friction coefficients admit dispersions depending in general on the manufacturing process of dry friction systems. As the dynamic behavior of these systems is very sensitive to the friction parameters, it is necessary to predict the friction-induced vibrations by taking into account the dispersion of friction. So, the main problem is to define efficient methods which help to predict friction-induced vibrations by taking into account both nonlinear and random aspect of dry friction systems. The multi-element generalized polynomial chaos formalism is proposed to deal with this question in a more general setting. It is shown that, in the case of friction-induced vibrations obtained from long time integration, the proposed method is efficient by opposite to the generalized polynomial chaos based method and constitutes an interesting alternative to the prohibitive Monte Carlo method.

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Section: Introductionmentioning

confidence: 99%

Prediction of Random Self Friction-Induced Vibrations in Uncertain Dry Friction Systems Using a Multi-Element Generalized Polynomial Chaos Approach

Nechak¹,

Berger²,

Aubry³

2012

Journal of Vibration and Acoustics

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“…In order to find the most suitable mechanism to describe friction-induced vibration in brake systems, these various mechanisms must be examined. They fall into four categories [1][2]: stick-slip, variable dynamic friction coefficient, sprag-slip [7] and geometric coupling of degrees of freedom [8,10,[12][13][14][15][16]. The first two approaches rely on changes in the friction coefficient with relative sliding speed affecting system stability.…”

Section: Introductionmentioning

confidence: 99%

“…For example, Jarvis and Mills [16] demonstrated that the variation of the friction coefficient with sliding speed was insufficient to cause friction-induced vibrations and so the instability was due to coupling even if the friction coefficient was constant. It is now accepted that there is no uniform theory for the characterisation of the problem and that stick-slip phenomena [19], negative friction velocity slope [20], sprag-slip phenomena and geometric coupling of the structure involving sliding parts [7,8,10,[12][13][14][15][16] contribute to the description of mechanisms causing dynamic instability of brake systems. The analysis of friction-induced instability is still a vast problem in spite of numerous recent studies on the subject.…”

Section: Introductionmentioning

confidence: 99%

Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping

Sinou

Jézéquel

2007

European Journal of Mechanics - A/Solids

181

147

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Friction-induced vibrations due to coupling modes can cause severe damage and are recognized as one of the most serious problems in industry. In order to avoid these problems, engineers must find a design to reduce or to eliminate mode coupling instabilities in braking systems. Though many researchers have studied the problem of friction-induced vibrations with experimental, analytical and numerical approaches, the effects of system parameters, and more particularly damping, on changes in stableunstable regions and limit cycle amplitudes are not yet fully understood. The goal of this study is to propose a simple non-linear two-degree-of-freedom system with friction in order to examine the effects of damping on mode coupling instability. By determining eigenvalues of the linearized system and by obtaining the analytical expressions of the Routh-Hurwitz criterion, we will study the stability of the mechanical system's static solution and the evolution of the Hopf bifurcation point as functions of the structural damping and system parameters. It will be demonstrated that the effects of damping on mode coupling instability must be taken into account to avoid design errors. The results indicate that there exists, in some cases, an optimal structural damping ratio between the stable and unstable modes which decreases the unstable region. We also compare the evolution of the limit cycle amplitudes with structural damping and demonstrate that the stable or unstable dynamic behaviour of the coupled modes are completely dependent on structural damping.

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“…The analysis of stability and dynamic behaviour associated with this particular class of nonlinear dynamic systems is of major importance (Sinou et al, 2004). …”

Section: Introductionmentioning

confidence: 99%

A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems

Nechak

Berger²,

Aubry³

2011

European Journal of Mechanics - A/Solids

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To cite this version:Lyes Nechak, Sébastien Berger, Evelyne Aubry. A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems. Abstract-This paper presents a dynamic behaviour study of non-linear friction systems subject to uncertain friction laws. The main aspects are the analysis of the stability and the associated non-linear amplitude around the steady-state equilibrium. As friction systems are highly sensitive to the dispersion of friction laws, it is necessary to take into account the uncertainty of the friction coefficient to obtain stability intervals and to estimate the extreme magnitudes of oscillations. Intrusive and nonintrusive methods based on the polynomial chaos theory are proposed to tackle these problems. The efficiency of these methods is investigated in a two degree of freedom system representing a drum brake system. The proposed methods prove to be interesting alternatives to the classic method such as parametric studies and Monte Carlo based techniques.

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Non-linear stability analysis of a complex rotor/stator contact system

Cited by 12 publications

References 24 publications

Prediction of Random Self Friction-Induced Vibrations in Uncertain Dry Friction Systems Using a Multi-Element Generalized Polynomial Chaos Approach

Prediction of Random Self Friction-Induced Vibrations in Uncertain Dry Friction Systems Using a Multi-Element Generalized Polynomial Chaos Approach

Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping

A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems

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