Stochastic study of a non-linear self-excited system with friction

Sarrouy, Emmanuelle; Dessombz, Olivier; Sinou, Jean-Jacques

doi:10.1016/j.euromechsol.2012.12.003

Cited by 36 publications

(27 citation statements)

References 17 publications

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“…In the field of friction-induced vibrations, numerous formalisms have been developed to define surrogate models for the prediction of mode coupling instabilities. Surrogate models that are based on the Generalized Polynomial Chaos (GPC) formalism [14] have been proposed this last decade to deal with the stability of mechanical systems subjected to friction-induced vibrations under uncertainties [15][16][17][18]. This approach has been proposed for propagating uncertainties described by probability density functions in systems submitted to friction-induced instabilities, a task which is prohibitive when performed by using the Monte Carlo method.…”

Section: Introductionmentioning

confidence: 99%

Kriging Surrogate Models for Predicting the Complex Eigenvalues of Mechanical Systems Subjected to Friction-Induced Vibration

Denimal

Nechak

Sinou

et al. 2016

Shock and Vibration

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This study focuses on the kriging based metamodeling for the prediction of parameter-dependent mode coupling instabilities. The high cost of the currently used parameter-dependent Complex Eigenvalue Analysis (CEA) has induced a growing need for alternative methods. Hence, this study investigates capabilities of kriging metamodels to be a suitable alternative. For this aim, kriging metamodels are proposed to predict the stability behavior of a four-degree-of-freedom mechanical system submitted to friction-induced vibrations. This system is considered under two configurations defining two stability behaviors with coalescence patterns of different complexities. Efficiency of kriging is then assessed on both configurations. In this framework, the proposed kriging surrogate approach includes a mode tracking method based on the Modal Assurance Criterion (MAC) in order to follow the physical modes of the mechanical system. Based on the numerical simulations, it is demonstrated by a comparison with the reference parameter-dependent CEA that the proposed kriging surrogate model can provide efficient and reliable predictions of mode coupling instabilities with different complex patterns.

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Section: Introductionmentioning

confidence: 99%

Kriging Surrogate Models for Predicting the Complex Eigenvalues of Mechanical Systems Subjected to Friction-Induced Vibration

Denimal

Nechak

Sinou

et al. 2016

Shock and Vibration

Self Cite

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“…Several studies have been conducted for investigating the effect of aleatoric uncertainties on brake squeal, e.g. [14,16].…”

Section: Introductionmentioning

confidence: 99%

Analysis of epistemic uncertainty for the friction‐induced vibration

Hanselowski

Hanss

2014

Z Angew Math Mech

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The phenomenon of brake squeal, which is a type of friction-induced vibration, is analyzed using a pin-on-disc system. For this purpose, a finite element model is derived and its parameters are updated on the basis of experiments. The FEM analysis includes the complex eigenvalue analysis and the transient analysis. As the brake-squeal phenomenon is very sensitive with respect to parametric uncertainty, the two numerical analyses are combined with an uncertainty analysis, which in this study is based on fuzzy arithmetic. The uncertainty analysis enables the determination of both the overall uncertainty of the considered output quantity and the influence of each individual uncertain model parameter on the overall uncertainty of the output. With this information about propagation and influence of parametric uncertainty in the system, the methods of complex eigenvalue analysis and transient analysis can be compared with respect to their appropriateness for predicting the tendency of the brake to squeal.

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“…Parameters such as the coefficient of friction, the material properties or the geometric characteristics are currently uncertain data (Heussaff et al, 2012). Their variations have, for example, repercussions on contact pressure, on displacements and more generally on the behavior of solids (Pattabhiraman et al, 2010;Sarrouy et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of frictionless contact problems using fuzzy control approach

Massa

Quan

Cazier

et al. 2015

Engineering Computations

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Purpose -The purpose of this paper is to present a new way to solve numerically a mechanical frictionless contact problem within a context of multiple sampling, frequently used to design robust structures. Design/methodology/approach -This paper proposes to integrate a control-based approach, currently used in automation domain, for the solving of non-linear mechanical problem. More precisely, a fuzzy logic controller is designed to create a link between the normal gaps identified between the bodies and the normal contact pressures applied at the interface. Findings -With this new strategy, the initial non-linear problem can be decomposed into a set of reduced linear problems solved using the finite element method. A projection built from the modal bases of each component in contact is considered to reduce computational time. Moreover, the proposed numerical applications highlight an interesting compromise between computation time and precision of contact data. Research limitations/implications -Currently, the proposed Fuzzy Logic Controller for Contact method has been developed for a frictionless contact problem in the case of 2D numerical applications. Therefore, as obtained results are very interesting, it will be possible to expand on these works in a future works for more complex problems including friction, 3D model and transient dynamic responses by adding other controllers. Originality/value -In conclusion, this paper highlights the interest of studying a contact problem by considering automation approaches and defines the basis of future multidisciplinary works.

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Stochastic study of a non-linear self-excited system with friction

Cited by 36 publications

References 17 publications

Kriging Surrogate Models for Predicting the Complex Eigenvalues of Mechanical Systems Subjected to Friction-Induced Vibration

Kriging Surrogate Models for Predicting the Complex Eigenvalues of Mechanical Systems Subjected to Friction-Induced Vibration

Analysis of epistemic uncertainty for the friction‐induced vibration

Finite element analysis of frictionless contact problems using fuzzy control approach

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