Brake Squeal Analysis: A New Method for Predicting Limit Cycles Using the Constrained Harmonic Balance Method

2008 ◽  
Vol 1 (1) ◽  
pp. 1276-1288 ◽  
Author(s):  
N. Coudeyras ◽  
S. Nacivet ◽  
J-J. Sinou
Keyword(s):  
Limit Cycles ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Balance Method ◽  
New Method ◽  
Brake Squeal

scholarly journals Nonlinear Dynamic Behaviour Analysis of a Clutch System with Uncertainties Using Polynomial Chaos and the Constrained Harmonic Balance Method

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
M.-H. Trinh ◽  
S. Berger ◽  
E. Aubry
Keyword(s):  
Limit Cycles ◽  
Nonlinear Dynamic ◽  
Harmonic Balance ◽  
Dynamic Behaviour ◽  
Polynomial Chaos ◽  
Equilibrium Points ◽  
Harmonic Balance Method ◽  
Unstable Equilibrium ◽  
Balance Method ◽  
Clutch System

The study of the nonlinear dynamic behaviour of friction systems in general and of clutch systems in particular remains an open problem. Noise and vibrations induced by friction in the sliding phase of a clutch are very sensitive to design parameters. The latter have significant dispersions. In the study of the system stability, the problem is not only to know if the parameter values lead to the appearance of unstable equilibrium points; the real challenge lies in estimating the vibration levels when such unstable equilibrium points occur. This estimation is analyzed using the limit cycles. This article aims to study the ability of robust approaches based on developments in nonintrusive generalized polynomial chaos and a constrained harmonic balance method to estimate the vibration levels through the limit cycles of a clutch system in the presence of uncertainty. The purpose is to provide a low-cost, high precision approach, compared to the classic Monte Carlo method.

Superelement Reduction of Industrial Finite Element Brake System for a Constrained Harmonic Balance Method

2012 ◽  
Author(s):  
Paul Villard ◽  
Samuel Nacivet ◽  
Jean-Jacques Sinou
Keyword(s):  
Finite Element ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Experimental Tests ◽  
Balance Method ◽  
Brake System ◽  
Complex Eigenvalue ◽  
Brake Squeal ◽  
Element System ◽  
Complex Eigenvalue Analysis

Brake squeal is a ubiquitous disturbance in automotive systems. Facing the complexity and the cost of experimental tests, simulations of brake squeal have become essential as well as to provide a predictive numerical method. Two major approaches exist in the numerical analysis of this phenomenon, the transient analysis and the complex eigenvalue analysis. In this study, the Constrained Harmonic Balance Method is applied on an industrial finite element system in order to estimate the nonlinear stationary responses due to friction induced vibration. This paper aims at explaining how a finite element system was adapted to the CHBM and at analyzing the results. First of all, the method used to reduce a finite element brake system is examined and the contact issue is particularly emphasized. Then, a brief summary of the CHBM is made. Finally, limit cycles are obtained close to the Hopf bifurcation.

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