Modal reduction of brake squeal systems using complex interface modes

Abstract This paper deals with a new efficient reduction method for predicting the stability analysis of a damped nonlinear brake system subjected to friction-induced vibration. The originality of the present work is to propose a generalized double modal synthesis method that combines a classical modal reduction and a condensation at the frictional interface by computing a reduced complex mode basis. Comparisons with the existing double modal synthesis reduction method are performed. It is demonstrated that the new suggested reduction technique is more efficient. It allows to provide satisfactory results with a small number of interfaces modes.

[1]  Jean-Jacques Sinou,et al.  A simplified approach for the calculation of acoustic emission in the case of friction-induced noise and vibration , 2015 .

[2]  Huajiang Ouyang,et al.  Statistics of complex eigenvalues in friction-induced vibration , 2015 .

[3]  Louis Jezequel,et al.  Dynamic Substructuring Based on a Double Modal Analysis , 2008 .

[4]  Jean-Jacques Sinou,et al.  Transient non-linear dynamic analysis of automotive disc brake squeal – On the need to consider both stability and non-linear analysis , 2010 .

[5]  J. T. Oden,et al.  Models and computational methods for dynamic friction phenomena , 1984 .

[6]  Jean-Jacques Sinou,et al.  Study of the nonlinear stationary dynamic of single and multi-instabilities for disk brake squeal , 2009 .

[7]  Oleg N. Kirillov.  Destabilization paradox due to breaking the Hamiltonian and reversible symmetry , 2007 .

[8]  S. W. E. Earles,et al.  Instabilities Arising From the Frictional Interaction of a Pin-Disk System Resulting in Noise Generation , 1976 .

[9]  Joseph C. S. Lai,et al.  Brake squeal: a literature review , 2002 .

[10]  Paul Bannister,et al.  Uncertainty quantification of squeal instability via surrogate modelling , 2015 .

[11]  Raouf A. Ibrahim,et al.  Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part II: Dynamics and Modeling , 1994 .

[12]  N. Millner.  An Analysis of Disc Brake Squeal , 1978 .

[13]  R. T. Spurr.  A Theory of Brake Squeal , 1961 .

[14]  Sebastian Oberst,et al.  Guidelines for numerical vibration and acoustic analysis of disc brake squeal using simple models of brake systems , 2013 .

[15]  Peter Hagedorn,et al.  Self-Excited Vibrations and Damping in Circulatory Systems , 2014 .

[16]  Louis Jezequel,et al.  Effects of damping on brake squeal coalescence patterns – application on a finite element model , 2007 .

[17]  D. A. Crolla,et al.  Paper VII (i) Brake Noise and Vibration - The State of the Art , 1991 .

[18]  Jean-Jacques Sinou,et al.  A double modal synthesis approach for brake squeal prediction , 2016 .

[19]  R. Ibrahim.  Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part I: Mechanics of Contact and Friction , 1994 .

[20]  Sebastian Oberst,et al.  Nonlinear transient and chaotic interactions in disc brake squeal , 2015 .

[21]  Aldo Sestieri,et al.  Brake squeal: Linear and nonlinear numerical approaches , 2007 .

[22]  Huajiang Ouyang,et al.  Numerical analysis of automotive disc brake squeal: a review , 2005 .

[23]  Laurent Baillet,et al.  Contact surface topography and system dynamics of brake squeal , 2008 .

[24]  Oliver M. O’Reilly,et al.  Automotive disc brake squeal , 2003 .

[25]  Lyes Nechak,et al.  Sensitivity analysis and Kriging based models for robust stability analysis of brake systems , 2015 .

[26]  Oleg N. Kirillov,et al.  Stabilization and destabilization of a circulatory system by small velocity-dependent forces , 2005 .

[27]  B. Mills,et al.  Vibrations Induced by Dry Friction , 1963 .