Full finite element models and reduction strategies for the simulation of friction-induced vibrations of rolling contact systems

Lai, Van-Vuong; Chiello, Olivier; Brunel, Jean-François; Dufrénoy, Philippe

doi:10.1016/j.jsv.2018.12.024

Cited by 19 publications

(18 citation statements)

References 42 publications

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“…Previous numerical studies for finite element mechanical systems subjected to friction-induced vibrations have been performed by using the non smooth contact dynamics approach [7][8][9][10]13].…”

Section: Numerical Examplementioning

confidence: 99%

“…They also proposed the use of the shooting method in order to determine periodic solutions of a self-excited mechanical system subject to friction-induced vibrations [12]. Lai et al [13] discussed the use of a numerical strategy in order to efficiently compute dynamic transient solutions of rolling/sliding contact systems at high frequencies. Such works not only attempt to demonstrate the feasibility of considering the Signorini problem with Coulomb friction in mechanical applications and the importance of contact dynamics at the origin of squeal phenomena, but also to illustrate and to promote the potential interactions and collaborations between mechanical and mathematical communities.…”

Section: Introductionmentioning

confidence: 99%

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Non Smooth Contact Dynamics Approach for Mechanical Systems Subjected to Friction-Induced Vibration

2019

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The modeling of contact is one of the main features of contact dynamics in the context of friction-induced vibrations. It can have a strong impact on the numerical results and consequently on the design choices during the optimization or specification of industrial mechanical systems. This is particularly the case for scientific studies interested in brake squeal. The objective of the paper is to recall and to promote developments concerning the use of non smooth contact dynamics approach for numerical simulations based on finite element method. The specific problem of the prediction of self-excited vibration in the context of brake squeal is discussed. In order to illustrate the potential benefit for the mechanical community of using formulations and theoretical developments from the mathematical community, the stability analysis and the estimation of nonlinear vibrations of a brake system with multiple frictional interface is investigated.

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Section: Numerical Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Non Smooth Contact Dynamics Approach for Mechanical Systems Subjected to Friction-Induced Vibration

2019

Self Cite

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“…Examples include chatter or squeak from brake systems, tool cutting systems, mechanical gear systems, window wiper blades, and lead screw drives [40][41][42]. Considering that the FIV is uncontrollable and unpredictable due to its inherently irregular nature and it is undesirable and harmful in most cases; thus a large amount of research on FIV mainly focuses on understanding its mechanism and searching for potential effective approaches to improve FIV of friction systems [43][44][45][46][47]. Meanwhile, from another perspective, sometimes the FIV can be useful if this kind of vibration energy is collected in a certain way and converted to electrical energy, which can be thought of as "makes the best out of an undesirable situation" [48].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Piezoelectric Energy Harvesting via Nonlinear Friction-Induced Vibration

Wang

Liu

et al. 2020

Shock and Vibration

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In this work, piezoelectric energy harvesting (PEH) performance via friction-induced vibration (FIV) is studied numerically. A nonlinear two-degree-of-freedom friction system (mass-on-belt) with piezoelectric elements, which simultaneously considers the stick-slip motion, model coupling instability, separation, and reattachment between the mass and belt, is proposed. Both complex eigenvalue analyses and transient dynamic analysis of this nonlinear system are carried out. Results show that it is feasible to convert FIV energy to electrical energy when the friction system is operating in the unstable vibration region. There exists a critical friction coefficient (μc) for the system to generate FIV and output visible voltage. The friction coefficient plays a significant role in affecting the dynamics and PEH performance of the friction system. The friction system is able to generate stronger vibration and higher voltage in the case that both the kinetic friction coefficient and static friction coefficient are larger than μc. Moreover, it is seen that the separation behavior between contact pair can result in overestimating or underestimating the vibration magnitude and output voltage amplitude, and the overestimate or underestimate phenomenon is determined by the located range of friction coefficient. Furthermore, it is confirmed that an appropriate value of external resistance is beneficial for the friction system to achieve the highest output voltage. The obtained results will be beneficial for the design of PEH device by means of FIV.

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“…This model reduction step can imply an approximation of the original system leading to a bad representation of the vibration behavior. In the case of mechanical systems subjected to friction-induced vibration, the performance of model reduction techniques [16][17][18][19] for the stability prediction as well as the transient and stationary evolutions of the nonlinear responses of the brake system can be affected by such reductions.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Squeal Noise Based on Multiresolution Signal Decomposition and Wavelet Representation—Application to FEM Brake Systems Subjected to Friction-Induced Vibration

2020

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This paper is devoted to discussion of the efficiency of reduced models based on a Double Modal Synthesis method that combines a classical modal reduction and a condensation at the frictional interfaces by computing a reduced complex mode basis, for the prediction of squeal noise of mechanical systems subjected to friction-induced vibration. More specifically, the use of the multiresolution signal decomposition of acoustic radiation and wavelet representation will be proposed to analyze details of a pattern on different observation scales ranging from the pixel to the size of the complete acoustic pattern. Based on this approach and the definition of specific resulting criteria, it is possible to quantify the differences in the representation of the acoustic fields for different reduced models and thus to perform convergence studies for different scales of representation in order to evaluate the potential of reduced models. The effectiveness of the proposed approach is tested on the finite element model of a simplified brake system that is composed of a disc and two pads. The contact is modeled by introducing contact elements at the two friction interfaces with the classical Coulomb law and a constant friction coefficient. It is demonstrated that the new proposed criteria, based on multiresolution signal decomposition, allow us to provide satisfactory results for the choice of an efficient reduced model for predicting acoustic radiation due to squeal noise.

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Full finite element models and reduction strategies for the simulation of friction-induced vibrations of rolling contact systems

Cited by 19 publications

References 42 publications

Non Smooth Contact Dynamics Approach for Mechanical Systems Subjected to Friction-Induced Vibration

Non Smooth Contact Dynamics Approach for Mechanical Systems Subjected to Friction-Induced Vibration

Investigation of Piezoelectric Energy Harvesting via Nonlinear Friction-Induced Vibration

Prediction of Squeal Noise Based on Multiresolution Signal Decomposition and Wavelet Representation—Application to FEM Brake Systems Subjected to Friction-Induced Vibration

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