scholarly journals A Hybrid Model for Predicting Steering Brake Squeal Based on Multibody Dynamics and Finite Element Methods

2022 ◽  
Vol 2022 ◽  
pp. 1-13
Author(s):  
Lijun Zhang ◽  
Yongchao Dong ◽  
Dejian Meng ◽  
Wenbo Li
Keyword(s):  
Finite Element ◽  
Hybrid Model ◽  
Multibody Dynamics ◽  
Finite Element Methods ◽  
Lateral Force ◽  
Steering Wheel ◽  
Complex Eigenvalue ◽  
Brake Squeal ◽  
Complex Eigenvalue Analysis ◽  
Stress And Deformation

In recent years, the problem of automotive brake squeal during steering braking has attracted attention. Under the conditions of squealing, the loading of sprung mass is transferred, and lateral force is generated on the tire, resulting in stress and deformation of the suspension system. To predict the steering brake squeal propensity and explore its mechanism, we established a hybrid model of multibody dynamics and finite element methods to transfer the displacement values of each suspension connection point between two models. We successfully predicted the occurrence of steering brake squeal using the complex eigenvalue analysis method. Thereafter, we analyzed the interface pressure distribution between the pads and disc, and the results showed that the distribution grew uneven with an increase in the steering wheel angle. In addition, changes in the contact and restraint conditions between the pads and disc are the key mechanisms for steering brake squeal.

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.

A Finite Element Approach to the Transient Dynamics of Rolling Tires with Emphasis on Rolling Noise Simulation4

2007 ◽  
Vol 35 (3) ◽  
pp. 165-182 ◽  
Author(s):  
Maik Brinkmeier ◽  
Udo Nackenhorst ◽  
Heiner Volk
Keyword(s):  
Finite Element ◽  
Traffic Noise ◽  
Complex Eigenvalue ◽  
Arbitrary Lagrangian Eulerian ◽  
Finite Element Approach ◽  
Road Systems ◽  
Element Approach ◽  
Road Surface Roughness ◽  
Complex Eigenvalue Analysis ◽  
Rolling Noise

Abstract The sound radiating from rolling tires is the most important source of traffic noise in urban regions. In this contribution a detailed finite element approach for the dynamics of tire/road systems is presented with emphasis on rolling noise prediction. The analysis is split into sequential steps, namely, the nonlinear analysis of the stationary rolling problem within an arbitrary Lagrangian Eulerian framework, and a subsequent analysis of the transient dynamic response due to the excitation caused by road surface roughness. Here, a modal superposition approach is employed using complex eigenvalue analysis. Finally, the sound radiation analysis of the rolling tire/road system is performed.

Sensitivity of Critical Value of Friction Coefficient for Brake Squeal Analysis

2007 ◽  
Author(s):  
Jinchun Huang ◽  
Charles M. Krousgrill ◽  
Anil K. Bajaj
Keyword(s):  
Sensitivity Analysis ◽  
Friction Coefficient ◽  
Structural Modification ◽  
Critical Value ◽  
System Stability ◽  
Mode Shapes ◽  
Frequency Variation ◽  
Complex Eigenvalue ◽  
Brake Squeal ◽  
Complex Eigenvalue Analysis

Brake squeal has been a major concern throughout the automotive industry. Structural modification is a practical and effective way to reduce brake squeal. However, few if any, systematic techniques exist to guide in this structural modification. In this work, a sensitivity analysis for brake squeal control is presented. The critical value of friction coefficient is used as a measure of squeal propensity. Based on the reduced-order characteristic equation method which can accurately estimate the critical value of friction coefficient, a sensitivity analysis of system stability with respect to lining stiffness and lining geometry is presented for a drum brake system. The sensitivity analysis can be conducted without creating new system models or performing a full complex eigenvalue analysis. Furthermore, the sensitivity analysis reveals the regions of contact area which have strong influence on squeal. It is shown that the separation of elastically coupled frequencies is influenced by the grooves in lining material, and the frequency variation can be related to the mode shapes of the drum and the shoes.

Study of Rheological Effects on the Stress and Deformation of the Sand-Gravel-Fill Dam

2014 ◽  
Vol 910 ◽  
pp. 297-303
Author(s):  
Liang Ren ◽  
Yang Li ◽  
Bo Hu ◽  
Min Jiang
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Three Dimensional ◽  
Nonlinear Finite Element ◽  
Engineering Practice ◽  
Rheological Analysis ◽  
Nonlinear Finite Element Methods ◽  
Stress And Deformation ◽  
Concrete Face

This paper analyses and selects the rheological mechanism and rheological analysis of the sand-gravel-fill dam, and combines with concrete-face sand-gravel-fill dam engineering practice, using three-dimensional nonlinear finite element methods to analyze the rheological effects on stress and deformation of the dam, using two calculation program of considering sand-gravel rheological effects or not. Then analyze and compare the results of the two calculation program, and systematically summarize the rheological effects on stress and deformation of the dam.

Complex Eigenvalue Analysis Applied to an Aircraft Brake Vibration Problem

1995 ◽  
Author(s):  
Denis J. Feld ◽  
Dana J. Fehr
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Friction Force ◽  
Mode Shape ◽  
Element Model ◽  
Eigenvalue Analysis ◽  
Complex Eigenvalue ◽  
Friction Forces ◽  
Model Complex ◽  
Complex Eigenvalue Analysis

Abstract A conventional finite element model of an aircraft wheel and brake is extended to include forces responsible for friction-induced noise. Responses of aircraft brake vibration modes change the normal force across the brake friction interfaces, and consequently the friction forces. The resulting friction force variations are assembled in the form of a supplemental stiffness matrix and added to the finite element model. Complex eigenvalue analysis that includes the friction force variations provides frequency and mode shape information, as well as an assessment of the predicted mode stability. A predicted unstable vibration mode compares very well to operating mode shape data determined from instrumented tests. Hardware modifications to reduce a brake noise in an aircraft cabin were based on beneficial trends found from exercising the model. Implementation of the hardware modifications on the aircraft successfully suppressed the noise.

scholarly journals A Reduced-Order Model for Complex Modes of Brake Squeal Model and Its Application to a Flexible Pin-on-Disc System

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Lijun Zhang ◽  
Jun Wu ◽  
Dejian Meng
Keyword(s):  
Design Optimization ◽  
Sufficient Accuracy ◽  
Reduced Order Model ◽  
Complex Eigenvalue ◽  
Brake Squeal ◽  
Order Model ◽  
Reduced Order ◽  
Complex Modes ◽  
Pin On Disc ◽  
Complex Eigenvalue Analysis

Brake squeal is often analytically studied by a complex eigenvalue analysis of linearized models of the brake assembly that is usually quite large. In this paper, a method for determining those frequencies having the most effect on the pair of coupling frequencies that saves much time is put forward and a reduced-order model is presented based on the complex modes theory. The reduced-order model is proved to be effective when applied to a flexible pin-on-disc system; even damping and nonlinearity are taken into consideration. This reduced-order model can predict the onset of squeal as well as the squeal frequency with sufficient accuracy and largely reduced amount of calculation and gives us a practical guide to perform design optimization in order to reduce brake squeal.

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