An Experimental Investigation of Frictionally-Excited Thermoelastic Instability in Automotive Disk Brakes Under a Drag Brake Application

Lee, Kwang-Jin; Barber, J. R.

doi:10.1115/1.2928855

Cited by 79 publications

(40 citation statements)

References 13 publications

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“…One purpose to incorporate chamfers and slots is to reduce squeal noise [14,15,16]. Relatively higher temperature at the pad surface than the interior will result in convex bending of the pad [17,18]. A slot will allow the material to bend and help avoid cracks.…”

Section: Brake Padmentioning

confidence: 99%

Overview of disc brakes and related phenomena - a review

Rashid

2014

IJVNV

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Disc brakes have evolved over time to be a reliable method of decelerating and stopping a vehicle. There have been different designs of disc brake systems for different applications. This review gives a detailed description of different geometries of the components and the materials used in a disc brake system. In spite of all the improvements, there are still many operational issues related to disc brakes that need to be understood in a greater detail and resolved. There has been a lot of research going on about these issues and at the same time different methods are being proposed to eliminate or reduce them. There has also been an intensive fundamental research going on about the evolution of tribological interface of disc-pad system. One major purpose of the present paper is to give a comprehensive overview of all such developments.

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Section: Brake Padmentioning

confidence: 99%

Overview of disc brakes and related phenomena - a review

Rashid

2014

IJVNV

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“…The system is symmetric about the mid-plane of the layer and all the modes are either symmetric or antisymmetric. We therefore modelled half of the system (half of the layer and one half-plane) and used antisymmetric boundary conditions at the symmetry plane, since Lee & Barber (1994) showed that the antisymmetric mode is always dominant for practical material combinations.…”

Section: Resultsmentioning

confidence: 99%

“…If more complete constitutive data are available, they are easily incorporated into the solution using equations (A 5) and (A 6) of Appendix A. The thermal expansion coe¯cient for many friction materials increases signi cantly with mean temperature, and this can cause systems to become unstable at later stages in a braking event (Lee & Barber 1994 The friction coe¯cient was taken as f = 0:4 and the layer semi-thickness as a = 10 mm. The half-planes were modelled as layers of nite thickness equal to 900 mm.…”

Section: Resultsmentioning

confidence: 99%

Eigenvalue solution of thermoelastic instability problems using Fourier reduction

Barber

Zagrodzki³

2000

Proc. R. Soc. Lond. A

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115

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A nite-element method is developed for determining the critical sliding speed for thermoelastic instability of an axisymmetric clutch or brake. Linear perturbations on the constant-speed solution are sought that vary sinusoidally in the circumferential direction and grow exponentially in time. These factors cancel in the governing thermoelastic and heat-conduction equations, leading to a linear eigenvalue problem on the two-dimensional cross-sectional domain for the exponential growth rate for each Fourier wavenumber. The imaginary part of this growth rate corresponds to a migration of the perturbation in the circumferential direction.The algorithm is tested against an analytical solution for a layer sliding between two half-planes and gives excellent agreement, for both the critical speed and the migration speed. Criteria are developed to determine the mesh re nement required to give an adequate discrete description of the thermal boundary layer adjacent to the sliding interface. The method is then used to determine the unstable mode and critical speed in geometries approximating current multi-disc clutch practice.

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“…Again the assumption has to be made about the smearing of the pad, implying that circumferential variations of temperature and contact pressure cannot be predicted satisfactorily. It has been shown in previous work [22,23] that a pad also undergoes thermal deformation, called convex bending; furthermore temperature distribution is not constant along the circumference of a disc [24]. Thus, it is clear that these approaches are not sufficient to model the real behavior, instead a FEA model with complete three dimensional (3D) geometries of a disc and pads is required.…”

Section: Disc Brakes 3 31 Backgroundmentioning

confidence: 99%

Finite Element Modeling of Contact Problems

Rashid¹

2016

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Contact is the principal way load is transferred to a body. The study of stresses and deformations arising due to contact interaction of solid bodies is thus of paramount importance in many engineering applications. In this work, problems involving contact interactions are investigated using finite element modeling. In the first part, a new augmented Lagrangian multiplier method is implemented for the finite element solution of contact problems. In this method, a stabilizing term is added to avoid the instability associated with overconstraining the non-penetration condition. Numerical examples are presented to show the influence of stabilization term. Furthermore, dependence of error on different parameters is investigated. In the second part, a disc brake is investigated by modeling the disc in an Eulerian framework which requires significantly lower computational time than the more common Lagrangian framework. Thermal stresses in the brake disc are simulated for a single braking operation as well as for repeated braking. The results predict the presence of residual tensile stresses in the circumferential direction which may cause initiation of radial cracks on the disc surface after a few braking cycles. It is also shown that convex bending of the pad is the major cause of the contact pressure concentration in middle of the pad which results in the appearance of a hot band on the disc surface. A multi-objective optimization study is also performed, where the mass of the back plate, the brake energy and the maximum temperature generated on the disc surface during hard braking are optimized. The results indicate that a brake pad with lowest possible stiffness will result in an optimized solution with regards to all three objectives. Finally, an overview of disc brakes and related phenomena is presented in a literature review. In the third part, a lower limb donned in a prosthetic socket is investigated. The contact problem is solved between the socket and the limb while taking friction into consideration to determine the contact pressure and resultant internal stress-strain in the soft tissues. Internal mechanical conditions and interface stresses for three different socket designs are compared. Skin, fat, fascia, muscles, large blood vessels and bones are represented separately, which is novel in this work

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An Experimental Investigation of Frictionally-Excited Thermoelastic Instability in Automotive Disk Brakes Under a Drag Brake Application

Abstract: Thermoelastic instability in an automotive

Cited by 79 publications

References 13 publications

Overview of disc brakes and related phenomena - a review

Overview of disc brakes and related phenomena - a review

Eigenvalue solution of thermoelastic instability problems using Fourier reduction

Finite Element Modeling of Contact Problems

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