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.

Numerical analysis of automotive disc brake squeal: a review

Moving-load dynamic problems: A tutorial (with a brief overview)

Brake squeal: Linear and nonlinear numerical approaches

Friction-induced vibrations due to coupling modes can cause severe damage and are recognized as one of the most serious problems in industry. In order to avoid these problems, engineers must find a design to reduce or to eliminate mode coupling instabilities in braking systems. Though many researchers have studied the problem of friction-induced vibrations with experimental, analytical and numerical approaches, the effects of system parameters, and more particularly damping, on changes in stable-unstable regions and limit cycle amplitudes are not yet fully understood. The goal of this study is to propose a simple non-linear two-degree-of-freedom system with friction in order to examine the effects of damping on mode coupling instability. By determining eigenvalues of the linearized system and by obtaining the analytical expressions of the Routh-Hurwitz criterion, we will study the stability of the mechanical system's static solution and the evolution of the Hopf bifurcation point as functions of the structural damping and system parameters. It will be demonstrated that the effects of damping on mode coupling instability must be taken into account to avoid design errors. The results indicate that there exists, in some cases, an optimal structural damping ratio between the stable and unstable modes which decreases the unstable region. We also compare the evolution of the limit cycle amplitudes with structural damping and demonstrate that the stable or unstable dynamic behaviour of the coupled modes are completely dependent on structural damping.

/pdf/mode-coupling-instability-in-friction-induced-vibrations-and-5gq199tkp7.pdf

Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping

Minimal models for disk brake squeal

Automotive disc brake squeal

On the transient dynamics of a multi-degree-of-freedom friction oscillator: a new mechanism for disc brake noise

Bunding 45 2130 Eighth Street, Suite 1, Wright-Patterson AFB, OH 45433-7765 In this paper, a model for the deformation of a rotating prismatic rod-like body is developed and analyzed. The novel feature of the model is its incorporation of the Poisson effect. As a result, it provides realistic solutions for the deformed states of steadily rotating rods. The model presented in this paper is also simplified to a nonlinear version of a classical model for rotating rods, Numerical continuation is used to solve the boundary value problems associated with these models.

On the Steady Motions of a Rotating Elastic Rod

Progress towards the use of ultra-thin fiber Bragg grating sensors for the in-situ strain measurement of coilable thin composite shells is presented. The first part of this work presents the manufacturing procedure used in the construction of these composite shells with embedded sensors. The second part of this work investigates how embedded ultra-thin fiber Bragg grating sensors affect the bending stiffness and failure curvature of these laminates through the use of the column bending test. The influence of the embedded sensors on the failure of these laminates is further investigated through 𝜇 CT imaging after failure

N.M. Kinkaid

Papers

Automotive disc brake squeal

On the transient dynamics of a multi-degree-of-freedom friction oscillator: a new mechanism for disc brake noise

On the Steady Motions of a Rotating Elastic Rod

Strain Measurement in Coilable Thin Composite Shells with Embedded Fiber Bragg Grating Sensors