Minimal models for disk brake squeal

Wagner, Utz von; Hochlenert, Daniel; Hagedorn, Peter

doi:10.1016/j.jsv.2006.11.023

Cited by 156 publications

(137 citation statements)

References 9 publications

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“…This allows us to catch significant details remaining valid in the general case, and to solve the problem almost exactly, providing a reference necessary for the improvement of the approximation techniques based on the analysis of eigenvalues. The system (1) with two degrees of freedom has also an independent interest because it contains actual low-dimensional models of dynamical systems such as disk brakes, space tethers, and spinning tops [20,22,23,29,30,34,35,42,44,45].…”

Section: A Circulatory System With Small Velocity-dependent Forcesmentioning

confidence: 99%

“…Contrary to the stationary damping, which is a velocity-dependent force, the rotating one is also proportional to the displacements by a non-conservative way and thus contributes not only to the matrix D in equation (1), but to the matrix N as well. This leads to a problem of perturbation of conservative gyroscopic system (3) by weak dissipative and non-conservative positional forces, attracted recently new attention [19,22,23,34,35,42,44,45,46].…”

Section: A Gyroscopic System With Weak Damping and Circulatory Forcesmentioning

confidence: 99%

“…This phenomenon is especially important in the problems of acoustics of friction, such as disk brake squeal suppression [29,30,41,44]. An explicit and exact expression for the critical frequency follows directly from the characteristic polynomial (10)…”

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confidence: 99%

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Destabilization paradox due to breaking the Hamiltonian and reversible symmetry

Kirillov

2007

International Journal of Non-Linear Mechanics

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Stability of a linear autonomous non-conservative system in the presence of potential, gyroscopic, dissipative, and non-conservative positional forces is studied. The cases when the non-conservative system is close to a gyroscopic system or to a circulatory one, are examined. It is known that marginal stability of gyroscopic and circulatory systems can be destroyed or improved up to asymptotic stability due to action of small non-conservative positional and velocity-dependent forces. The present paper shows that in both cases the boundary of the asymptotic stability domain of the perturbed system possesses singularities such as "Dihedral angle" and "Whitney umbrella" that govern stabilization and destabilization. In case of two degrees of freedom, approximations of the stability boundary near the singularities are found in terms of the invariants of matrices of the system. As an example, the asymptotic stability domain of the modified Maxwell-Bloch equations is investigated with an application to the stability problems of gyroscopic systems with stationary and rotating damping.

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Section: A Circulatory System With Small Velocity-dependent Forcesmentioning

confidence: 99%

Section: A Gyroscopic System With Weak Damping and Circulatory Forcesmentioning

confidence: 99%

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Destabilization paradox due to breaking the Hamiltonian and reversible symmetry

Kirillov

2007

International Journal of Non-Linear Mechanics

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“…The models [15] and [17] are quite general and mainly oriented on the principal effect of the non-symmetric stiffness matrix generated through friction forces. The models [16] and [18] are more specific and concentrated on specific properties of the brake, i.e. wobbling instability generated by the two sided point contact between the pads and the disk.…”

Section: Introductionmentioning

confidence: 99%

On the minimal model for the low frequency wobbling instability of friction discs

Fidlin

Drozdetskaya

Waltersberger

2011

European Journal of Mechanics - A/Solids

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“…Most of the scientist and engineers have agreed that squeal noise in the disk brake is initiated by instability due to friction forces, contributing to self-excited vibrations [1]. Therefore, the elimination of brake squeal noise is very significant as the problem causes discomfort towards the vehicle occupants as well as walkers.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Natural Frequency and Modal Analysis of Brake Rotor Using Fea and Ema

Kharate¹,

Chaudhari²

2014

IJIRSET

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Brake squeal is largely accepted by Scientists and technologists as a major problem which is induced by friction induced vibrations. It is well accepting to be frequently occurring at a frequency above 1 KHz. This report is interested in the finite element analysis (FEA) and experimental modal analysis (EMA) of a commercial disc of the brake system. The modal analysis has been used in this work to determine the natural frequency and mode shape pattern. The destination is to predict the squeal at the former phase of invention using a more realistic model. Firstly, the FE models of the disc brake parts were produced using 3D solid element. The experimental modal testing technique known as an impact hammer test has been held away to obtain modal parameters of the disc brake structure. The FE model is validated by comparing experimental results of the brake components. It is ground that good correlation is achieved in the dynamic properties of the brake parts.

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Minimal models for disk brake squeal

Cited by 156 publications

References 9 publications

Destabilization paradox due to breaking the Hamiltonian and reversible symmetry

Destabilization paradox due to breaking the Hamiltonian and reversible symmetry

On the minimal model for the low frequency wobbling instability of friction discs

Investigation of Natural Frequency and Modal Analysis of Brake Rotor Using Fea and Ema

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