Journal Article•
Brake saueal analysis by finite elements
TL;DR: In this paper, an approximate analysis method for brake squeal is presented using MSC/NASTRAN, where a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor.
Abstract: An approximate analysis method for brake squeal is presented. Using MSC/NASTRAN, a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor. The friction coefficient can be pressure dependent. Next, linearised complex modes are found where the interface is set in a slip condition. Since the entire interface is set sliding, it produces the maximum friction work possible during the vibration. It is a conservative measure for stability evaluation. An averaged friction coefficient is measured and used during squeal. Dynamically unstable modes are found during squeal. They are due to friction coupling of neighbouring modes. When these modes are decoupled, they are stabilised and squeal is eliminated. Good correlation with experimental results is shown. It will be shown that the complex modes base-line solution is insensitive to the type of variations in pressure and velocity that occur in a test schedule. This is due to the conservative nature of the approximation. Convective mass effects have not been included.
Citations
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TL;DR: A comprehensive review and bibliography of works on disc brake squeal is provided in this paper, where background sections on vibrations, contact and disc brake systems are also included, in an effort to make this review accessible to a large audience.
712 citations
TL;DR: In this paper, the authors reviewed numerical methods and analysis procedures used in the study of automotive disc brake squeal and found that the complex eigenvalue analysis is still the approach favored by the automotive industry and the transient analysis is gaining increasing popularity.
Abstract: This paper reviews numerical methods and analysis procedures used in the study of automotive disc brake squeal. It covers two major approaches used in the automotive industry, the complex eigenvalue analysis and the transient analysis. The advantages and limitations of each approach are examined. This review can help analysts to choose right methods and make decisions on new areas of method development. It points out some outstanding issues in modelling and analysis of disc brake squeal and proposes new research topics. It is found that the complex eigenvalue analysis is still the approach favoured by the automotive industry and the transient analysis is gaining increasing popularity.
398 citations
TL;DR: In this article, a detailed three-dimensional finite element model of a real disc brake is developed and three different contact regimes are examined in order to assess the best correlation between the two methodologies.
Abstract: There are typically two different methodologies that can be used to predict squeal in a disc brake, i.e., complex eigenvalue analysis and dynamic transient analysis. The positive real parts of complex eigenvalues indicate the degree of instability of the disc brake and are thought to associate with squeal occurrence or noise intensity. On the other hand, instability in the disc brake can be identified as an initially divergent vibration response using transient analysis. From the literature it appears that the two approaches were performed separately, and their correlation was not much investigated. In addition, there is more than one way of dealing the frictional contact in a disc brake. This paper explores a proper way of conducting both types of analyses and investigates the correlation between them for a large degree-of-freedom disc brake model. A detailed three-dimensional finite element model of a real disc brake is developed. Three different contact regimes are examined in order to assess the best correlation between the two methodologies.
159 citations
TL;DR: In this article, the effect of wear on the dynamic stability of a commercial brake system is examined, and the performance of some control methods are tested under different conditions, including changes in material properties and the application of brake noise insulators.
121 citations
TL;DR: In this paper, a nonlinear method called the Constrained Harmonic Balance Method (CHBM) is proposed for nonlinear systems subject to flutter instability, which is an extension of the Harmonic balance method (HBM) for disc brake squeal.
88 citations
References
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TL;DR: A comprehensive review and bibliography of works on disc brake squeal is provided in this paper, where background sections on vibrations, contact and disc brake systems are also included, in an effort to make this review accessible to a large audience.
712 citations
TL;DR: In this paper, the authors reviewed numerical methods and analysis procedures used in the study of automotive disc brake squeal and found that the complex eigenvalue analysis is still the approach favored by the automotive industry and the transient analysis is gaining increasing popularity.
Abstract: This paper reviews numerical methods and analysis procedures used in the study of automotive disc brake squeal. It covers two major approaches used in the automotive industry, the complex eigenvalue analysis and the transient analysis. The advantages and limitations of each approach are examined. This review can help analysts to choose right methods and make decisions on new areas of method development. It points out some outstanding issues in modelling and analysis of disc brake squeal and proposes new research topics. It is found that the complex eigenvalue analysis is still the approach favoured by the automotive industry and the transient analysis is gaining increasing popularity.
398 citations
Book•
01 May 1986
TL;DR: The first comprehensive, systematic account of nonlinear dynamics and chaos, one of the fastest-growing disciplines of applicable mathematics, is presented in this paper, which is highly illustrated and written in a clear, comprehensive style.
Abstract: This book is the first comprehensive, systematic account of nonlinear dynamics and chaos, one of the fastest-growing disciplines of applicable mathematics. It is highly illustrated and written in a clear, comprehensive style, progressing gently from the most elementary to the most advanced ideas while requiring little previous knowledge of mathematics. Examples of applications to a wide variety of scientific fields introduce concepts of instabilities, bifurcations and catastrophes, and particular attention is given to the vital new ideas of chaos and non-repeatability in deterministic systems.
287 citations
31 Dec 1991
TL;DR: In this article, the authors focus on local bifurcation and stability analysis: the problem of describing static and dynamic behaviors at parameter and state variable values near those at which loss of stability first occurs from a known branch of solutions.
Abstract: There are now well over fifty books available on nonlinear science and chaos theory. In the past year alone, six new technical journals appeared in these areas. (Some of them may even survive). Much of the activity has been in the physics and mathematics communities. Acknowledging the latter in particulra, the authors adddress mechanicians and engineers. They hope to explain to a reader, who is assumed to possess only the minimum of mathematical background acquired by undergraduate courses, how to solve in a straightfowward manner, nonlinear stability problems. They also believe that (the problems they treat) should be understandable also for readers with little or even no knowledge in mechanics. The objects addressed are nonlinear, ordinary, and partial differential equations and iterated mappings arising as models of beams, plates, shells, linkages, railroad trucks, and the like. The book concentrates on local bifurcation and stability analysis: the problem of describing static and dynamic behaviors at parameter and state variable values near those at which loss of stability first occurs from a known branch of solutions. Global behaviors such as chaos and strange attractors are not discussed.
262 citations
220 citations