Complex machine dynamics: systematic recurrence quantification analysis of disk brake vibration data

Stender, Merten; Oberst, Sebastian; Tiedemann, Merten; Hoffmann, Norbert

doi:10.1007/s11071-019-05143-x

Cited by 29 publications

(17 citation statements)

References 32 publications

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“…In recent decades, the impelling need to monitor and supervise machine and structures operations has led to an increasing usage of sensors and measuring equipment. Time varying data are analyzed and processed to obtain high fidelity models able to describe and ideally predict the system behavior under varying excitations and boundary conditions [1][2][3][4][5]. To this end, many strategies have been developed for system identifications generally based on linear theory, such as modal analysis [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems

et al. 2019

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Data-driven system identification procedures have recently enabled the reconstruction of governing differential equations from vibration signal recordings. In this contribution, the sparse identification of nonlinear dynamics is applied to structural dynamics of a geometrically nonlinear system. First, the methodology is validated against the forced Duffing oscillator to evaluate its robustness against noise and limited data. Then, differential equations governing the dynamics of two weakly coupled cantilever beams with base excitation are reconstructed from experimental data. Results indicate the appealing abilities of data-driven system identification: underlying equations are successfully reconstructed and (non-)linear dynamic terms are identified for two experimental setups which are comprised of a quasi-linear system and a system with impacts to replicate a piecewise hardening behavior, as commonly observed in contacts.

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Section: Introductionmentioning

confidence: 99%

Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems

et al. 2019

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“…Wernitz and Hoffmann [75] provided a visual interpretation of recurrence plots obtained from friction brake vibration measurements and argued that FIV dynamics are deterministic on short time scales whereas random disruptions were seen on longer time scales. In a recent study, Stender et al [76] used RQA to demonstrate that FIVs are multiscale in nature, that squealing is consistent with low dimensional attractors, and that the higher vibration levels correspond to higher determinism and periodicity of the dynamics. They also proposed an automated framework based on RQA to detect and monitor brake squealing.…”

Section: Recurrence Plots In Engineering Researchmentioning

confidence: 99%

A Brief Introduction to Nonlinear Time Series Analysis and Recurrence Plots

Goswami

2019

Vibration

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Nonlinear time series analysis gained prominence from the late 1980s on, primarily because of its ability to characterize, analyze, and predict nontrivial features in data sets that stem from a wide range of fields such as finance, music, human physiology, cognitive science, astrophysics, climate, and engineering. More recently, recurrence plots, initially proposed as a visual tool for the analysis of complex systems, have proven to be a powerful framework to quantify and reveal nontrivial dynamical features in time series data. This tutorial review provides a brief introduction to the fundamentals of nonlinear time series analysis, before discussing in greater detail a few (out of the many existing) approaches of recurrence plot-based analysis of time series. In particular, it focusses on recurrence plot-based measures which characterize dynamical features such as determinism, synchronization, and regime changes. The concept of surrogate-based hypothesis testing, which is crucial to drawing any inference from data analyses, is also discussed. Finally, the presented recurrence plot approaches are applied to two climatic indices related to the equatorial and North Pacific regions, and their dynamical behavior and their interrelations are investigated.

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“…Friction-induced vibrations have been extensively studied over the last decades by academics and industrials from two complementary points of view, a purely tribological one [1][2][3][4][5][6] and from a structural dynamic one [7][8][9][10][11][12][13][14][15][16][17][18]. The prediction of the friction-induced vibrations is made complex by its fugitive aspect and its sensitivity to many parameters [19,20] as the environment [21], the wear [22], the material [23], internal contact conditions [24] or the friction contact law [25,26].…”

Section: Introductionmentioning

confidence: 99%

“…In [32,34], Wernitz and Hoffmann observed chaotic nature of the dynamic before the appearance of unstable behaviour and the associated friction-induced vibration and state that the observed phenomena was not the result of a system loosing its stability to a quasi-periodic solution, but the result of a chaotic attractor approaching a regular attractor [35,36]. In spite of these analysis, once the phenomena of friction-induced vibration is present, (quasi)-periodic solutions are most of the time observed [17,29,33].…”

Section: Introductionmentioning

confidence: 99%

Prediction and analysis of quasi-periodic solution for friction-induced vibration of an industrial brake system with the Generalized Modal Amplitude Stability Analysis

Denimal

Sinou

Nacivet

2021

Journal of Sound and Vibration

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Brake squeal is a major issue for car manufacturers as it is the reason for the return of many vehicles to customer services, representing high costs for the companies. To meet customer's expectations, squeal must be accurately predicted during the design process. In the context of the automotive industry, squeal usually refers to friction-induced vibrations that generate noise. The main methodology employed nowadays for friction-induced vibrations prediction of industrial systems is the well-known complex eigenvalue analysis (CEA) despite its limitations. The latter suffers from an under-or over-predictive aspect and the vibration amplitudes cannot be estimated. A recent approach, called the generalised modal amplitude stability analysis (GMASA), has been developed as a complementary approach of the CEA to identify the modes involved in the nonlinear dynamic response of systems subjected to friction-induced vibrations and to approximate the quasi-periodic oscillations. The objective of this paper is to predict the nonlinear dynamic response of a full industrial automotive brake system. The GMASA is employed to predict its nonlinear dynamic response. It is demonstrated that when the CEA predicts a single unstable mode, two are actually involved in the nonlinear dynamic response. The quasi-periodic oscillations are analysed, as well as the evolution of the contact conditions at the pad/disc interface and exhibits the presence of micro-impacts.

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Complex machine dynamics: systematic recurrence quantification analysis of disk brake vibration data

Cited by 29 publications

References 32 publications

Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems

Reconstruction of Governing Equations from Vibration Measurements for Geometrically Nonlinear Systems

A Brief Introduction to Nonlinear Time Series Analysis and Recurrence Plots

Prediction and analysis of quasi-periodic solution for friction-induced vibration of an industrial brake system with the Generalized Modal Amplitude Stability Analysis

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