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

Denimal, Enora; Nechak, Lyès; Sinou, Jean-Jacques; Nacivet, S.

doi:10.1155/2016/3586230

Cited by 19 publications

(30 citation statements)

References 35 publications

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“…In order to analyze multi-instabilities and nonlinear friction-induced vibrations, a phenomenological lumped self-excited model was originally proposed by Dakel and Sinou [16] and then used to test new numerical strategies to predict brake squeal by Denimal et al [17,18]. This four-degrees-of-freedom model (see Figure 1) corresponds to an extension of the two-degrees-of-freedom model proposed by Hulten [19,20].…”

Section: Mechanical System Under Studymentioning

confidence: 99%

On the Use of Linear and Nonlinear Controls for Mechanical Systems Subjected to Friction-Induced Vibration

Chomette

Sinou

2020

Applied Sciences

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Friction-Induced Vibration and noisE (FIVE) is still a complex and nonlinear physical phenomenon which is characterized by the appearance of instabilities and self-sustained vibrations. This undesirable vibrational phenomenon is encountered in numerous industrial applications and can cause major failures for mechanical systems. One possibility to limit this vibration phenomenon due to the appearance of instabilities is to add a controller on the system. This study proposes to discuss the efficiency but also limitations of an active control design based on full linearization feedback. In order to achieve this goal, a complete study is performed on a phenomenological mechanical system subjected to mono or multi-instabilities in the presence of friction. Transient and self-excited vibrations of the uncontrolled and controlled systems are compared. More specifically, contributions of linear and nonlinear parts in the control vector for different values of friction coefficient are investigated and the influence of the control gain and sensitivity of the controller to the signal-to-noise ratio are undertaken.

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Section: Mechanical System Under Studymentioning

confidence: 99%

On the Use of Linear and Nonlinear Controls for Mechanical Systems Subjected to Friction-Induced Vibration

Chomette

Sinou

2020

Applied Sciences

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“…To the knowledge of the authors, this case has never been considered in the past. As for the primary system, the retained model, a simple 4-DOF friction system involving two unstable modes, has been introduced in [32] and used in [33] to illustrate different stability behaviors characterized by mode coupling having coalescence patterns. Based on the procedure presented in [22], we provide an analytic framework for characterizing the response regimes.…”

Section: Introductionmentioning

confidence: 99%

Dynamic behavior analysis of a mechanical system with two unstable modes coupled to a single nonlinear energy sink

Bergeot

Bellizzi²,

Berger³

2021

Communications in Nonlinear Science and Numerical Simulation

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This paper investigates a problem of passive mitigation of vibratory instabilities caused by two unstable modes by means of a single nonlinear energy sink (NES). For this purpose, a linear four-degree-of-freedom (DOF) primary structure having two unstable modes (reproducing the typical dynamic behavior of a friction system) and undergoing, as it is linear, unbounded motions when it is unstable, is coupled to a NES. In this work, the NES involves an essentially cubic restoring force and a linear damping force. We are interested in characterizing analytically the response regimes resulting from the coupling of the two unstable linear modes of the primary structure and the nonlinear mode of the NES. To this end, from a suitable rescaling of the governing equations of the coupled system in which the dynamics of the primary structure is reduced to its unstable modal coordinates, the complexification-averaging method is applied. The resulting averaged system appears to be a fast-slow system with four fast variables and two slow ones related to the two unstable modes of the primary structure. The critical manifold of the averaged dynamics is obtained through the geometric singular perturbation theory and appears as a two-dimensional parametric surface (with respect to two of the four fast variables) which evolves in the whole six-dimensional variable space. The asymptotic analysis reveals that the NES attachment can produce some bounded responses and suggests that the system may have simultaneous stable attractors. Numerical simulations complement the study, highlighting a possible competition between stable attractors and allowing us to investigate their basins of attraction. In each considered situation, a good agreement has been observed between theoretical results and numerical simulations, which validates the proposed asymptotic analysis.

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“…Modal analysis is widely used in many fields such as architecture, bridges, and vehicles to extract the vibration modes of structures [13][14][15][16][17][18][19][20]. Experimental modal testing is an important type of modal analysis and has rapidly developed in recent years.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation and Experimental Validation of the Vibration Modes for a Processing Reciprocating Compressor

Zhao

Chen

Zhou

et al. 2017

Shock and Vibration

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The low-order vibration modes of a reciprocating compressor were studied by means of numerical simulation and experimental validation. A shell element model, a beam element model, and two solid element models were established to investigate the effects of bolted joints and element types on low-order vibration modes of the compressor. Three typical cases were compared to check the effect of locations of moving parts on the vibration modes of the compressor. A forced modal test with the MRIT (Multiple References Impact Test) technique was conducted to validate the simulation results. Among four numerical models, the solid element model with the bolt-pretension method showed the best accuracy compared with experimental data but the worst computational efficiency. The shell element model is recommended to predict the low-order vibration modes of the compressor with regard to effectiveness and usefulness. The sparsely distributed bolted joints with a small bonded region on the contact surface were key bolted joints that had greater impacts on the low-order vibration modes of the compressor than the densely distributed bolted joints. The positions of the moving parts had little effect on the low-order vibration modes of the compressor.

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

Cited by 19 publications

References 35 publications

On the Use of Linear and Nonlinear Controls for Mechanical Systems Subjected to Friction-Induced Vibration

On the Use of Linear and Nonlinear Controls for Mechanical Systems Subjected to Friction-Induced Vibration

Dynamic behavior analysis of a mechanical system with two unstable modes coupled to a single nonlinear energy sink

Numerical Simulation and Experimental Validation of the Vibration Modes for a Processing Reciprocating Compressor

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