Recurrence analysis and phase space reconstruction of irregular vibration in friction brakes: Signatures of chaos in steady sliding

Wernitz, Boris; Hoffmann, Norbert

doi:10.1016/j.jsv.2012.04.003

Cited by 46 publications

(31 citation statements)

References 31 publications

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“…The vectors represent the signal trajectories in phase space. If we define a threshold , then a two-dimensional matrix can be obtained by comparing the distance between the vectors in with as shown in Equation (2).…”

Section: Introduction Of Rp Methodsmentioning

confidence: 99%

“…The vibration signal is usually collected and used for damage detection. Many vibration based damage detection techniques have been developed and are widely used for monitoring and diagnosis in the areas of condition-based maintenance, structural health monitoring and so forth [1][2][3]. For example, many signal processing methods have been used to investigate the vibration signals, and features are derived to represent the signal characteristics, such as the frequency domain method, wavelet based analysis and time series based analysis [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

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Recurrence Plot Based Damage Detection Method by Integrating Control Chart

Zhou

Zhang

2015

Entropy

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Abstract:Because of the importance of damage detection in manufacturing systems and other areas, many fault detection methods have been developed that are based on a vibration signal. Little work, however, has been reported in the literature on using a recurrence plot method to analyze the vibration signal for damage detection. In this paper, we develop a recurrence plot based fault detection method by integrating the statistical process control technique. The recurrence plots of the vibration signals are derived by using the recurrence plot (RP) method. Five types of features are extracted from the recurrence plots to quantify the vibration signals' characteristic. Then, the control chart, a multivariate statistical process control technique, is used to monitor these features. The control chart technique, however, has the assumption that all the data should follow a normal distribution. The RP based bootstrap control chart is proposed to estimate the control chart parameters. The performance of the proposed RP based bootstrap control chart is evaluated by a simulation study and compared with other univariate bootstrap control charts based on recurrence plot features. A real case study of rolling element bearing fault detection demonstrates that the proposed fault detection method achieves a very good performance.

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Section: Introduction Of Rp Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Recurrence Plot Based Damage Detection Method by Integrating Control Chart

Zhou

Zhang

2015

Entropy

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“…The analysis of brake noise propensity is primarily based on linear approaches. On the other hand, it has been recognized that the brake noise and vibration involves a number of nonlinear phenomena such as bifurcation and chaos [35][36][37][38][39][40][41][42]. It is estimated that the onset of squeal happens in linear conditions and that nonlinearity defines the envelope of the vibration amplitudes.…”

Section: Historic Perspectives: the Example Of Brake Noisementioning

confidence: 99%

“…The lower dimensional attractors are quantified by Lyapunov exponents. In [40], brake vibration data up to ultrasonic regime is investigated using recurrence analysis and phase space reconstruction. It indicates that irregular vibration states of friction brakes are strongly dominated by intermittency phenomena which are dominated by low-dimensional irregular deterministic dynamics rather than by high-dimensional stochastic processes.…”

Section: Historic Perspectives: the Example Of Brake Noisementioning

confidence: 99%

Friction-Induced Noise and Vibrations: Diagnosis and Prognosis

Chen¹

2013

Adv Automob Eng

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“…Friction-excited vibrations of brake systems are mostly assumed to stem from a regular dynamic core due to the dominantly monofrequent vibrations observed experimentally. However, it has been shown recently [1,2] that brake squeal phenomena contain a low dimensional irregular dynamic core.…”

Section: Introductionmentioning

confidence: 99%

Characterization of complex states for friction‐excited systems

Stender

Tiedemann

Hoffmann

2017

Proc Appl Math and Mech

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For many engineering structures the dynamical response during operation is rarely stationary or regular. In fact, many studies on measured data reveal the irregular nature of dynamical system responses, for example in the field of research on brake squeal. Therefore, linear measures, such as amplitude and frequency spectra, cannot characterize the core dynamics contained in an irregular time series. Additionally, linear methods for damping extraction from measured signals tend to lose significance when it comes to irregular responses of self-excited systems. This work aims at highlighting the need for quantifiers from nonlinear time series analysis to adequately characterize real-world vibration data. In a first step a minimal model is studied to relate nonlinear time series quantifiers to internal system states and dissipation considerations. The goal of this research is to develop an understanding for the information contained in time series data concerning dissipation mechanisms of complex friction-excited systems.

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Recurrence analysis and phase space reconstruction of irregular vibration in friction brakes: Signatures of chaos in steady sliding

Cited by 46 publications

References 31 publications

Recurrence Plot Based Damage Detection Method by Integrating Control Chart

Recurrence Plot Based Damage Detection Method by Integrating Control Chart

Friction-Induced Noise and Vibrations: Diagnosis and Prognosis

Characterization of complex states for friction‐excited systems

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