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Nonlinear transient and chaotic interactions in disc brake squeal

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TLDR
In this paper, the authors applied the complex eigenvalue analysis, the direct steady-state analysis and the transient nonlinear time domain analysis to an isotropic pad-on-disc finite element model representing a simple model of a brake system.
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This article is published in Journal of Sound and Vibration.The article was published on 2015-04-28. It has received 66 citations till now. The article focuses on the topics: Disc brake & Intermittency.

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Journal ArticleDOI

Recursive Characteristics of a Running-in Attractor in a Ring-on-Disk Tribosystem

TL;DR: To explore the recursive characteristics of a running-in attractor, recurrence plot (RP) and recursive parameters are used to investigate the dynamic features of the structure and show that the RP evolves from a disrupted pattern to a homogeneous pattern and then returns to a disruptedpattern in the entire wear process, corresponding to the “formation–stabilization–disappearance” stage of the running- in attractor.
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A non-linear friction work formulation for the analysis of self-excited vibrations

TL;DR: In this article, a nonlinear 2-DOF dry friction oscillator was used to demonstrate that in combination with viscous damping the energy budget provided an improved analysis capability over linearised friction work.
Journal ArticleDOI

Assessing Hydrograph Similarity and Rare Runoff Dynamics by Cross Recurrence Plots

TL;DR: In this paper, a novel measure to assess similarity between event hydrographs is introduced, based on cross recurrence plots (CRP) and recurrence quantification analysis (RQA), which have recently gained attention in a range of disciplines when dealing with complex systems.
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Modal reduction of brake squeal systems using complex interface modes

TL;DR: In this article, a generalized double modal synthesis method was proposed for predicting the stability analysis of a damped nonlinear brake system subjected to friction-induced vibration, which combines a classical modal reduction and a condensation at the frictional interface by computing a reduced complex mode basis.
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Uncertainty quantification applied to the mode coupling phenomenon

TL;DR: In this paper, a method for the uncertainty quantification of friction induced vibrations based on the mode coupling phenomenon is shown, where the main focus is the assessment of the phenomenon under consideration of uncertain input parameters for robustness evaluation.
References
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Book

Chaos in dynamical systems

TL;DR: In the new edition of this classic textbook, the most important change is the addition of a completely new chapter on control and synchronization of chaos as mentioned in this paper, which will be of interest to advanced undergraduates and graduate students in science, engineering and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.
Journal ArticleDOI

Recurrence plots for the analysis of complex systems

TL;DR: The aim of this work is to provide the readers with the know how for the application of recurrence plot based methods in their own field of research, and detail the analysis of data and indicate possible difficulties and pitfalls.

Nonlinear Time Series Analysis

TL;DR: In this article, the authors discuss the use of non-linear methods when determinism is weak and apply them to the problem of neighbor search in the presence of chaotic data and noise.
Book

Analysis of Observed Chaotic Data

TL;DR: Regular Dynamics: Newton to Poincare KAM Theorem, and the Chaos Toolkit: Making 'Physics' out of Chaos.

Nonlinear Time Series Analysis.

TL;DR: This thesis applies neural network feature selection techniques to multivariate time series data to improve prediction of a target time series and results indicate that the Stochastics and RSI indicators result in better prediction results than the moving averages.
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