Uncertainty Quantification of the Squeal Instability in Real Brake Systems

Brake systems generate different sorts of noises and vibration due to various frictional mechanisms. Of these noises, brake squeal is an irritating high-frequency noise causing many problems for car manufacturers. Several frictional mechanisms have been put forward on the root cause of squeal instability among which mode-coupling has attracted the most attention in the literature. This frictional mechanism leads to asymmetry of the stiffness matrix and positive real parts of one or more pairs of eigenvalues of the system. The latter is considered to indicate squeal instability as the amplitude of vibration in the linearised system grows without bound due to this term. The typical approach to the brake squeal problem is running the complex eigenvalue analysis to find eigenvalues with positive real parts. However, the major drawback of this deterministic approach is that variability and uncertainty are not taken into consideration. Variability stems from manufacturing processes, material properties and component geometries. Uncertainty is mostly caused by contact and friction. All these factors, therefore, necessitate implementing a stochastic approach to the brake squeal problem. The main difficulty associated with the uncertainty analysis of brake squeal is the computational cost and time. Running the complex eigenvalue analysis of the actual brake system under this study takes one or two days. Hence, running some uncertainty algorithms demanding thousands of runs to produce results is not feasible in this case. This study, in turn, is proposing an efficient stochastic way of predicting brake squeal instability. A surrogate model of the finite element model for the real brake is constructed which can produce results comparable with the finite element model and, thus, saves a massive amount of computing time and data storage.

Language

  • English

Media Info

  • Media Type: Web
  • Pagination: pp 446-455
  • Monograph Title: Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management

Subject/Index Terms

Filing Info

  • Accession Number: 01532726
  • Record Type: Publication
  • ISBN: 9780784413609
  • Files: TRIS, ASCE
  • Created Date: Jul 7 2014 3:01PM