Finite Element Analysis of Frictionally Excited Thermoelastic Instability

Du, Shuqin; Zagrodzki, Przemysław; Barber, James A.; Hulbert, Gregory M.

doi:10.1080/01495739708956098

Cited by 54 publications

(28 citation statements)

References 8 publications

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“…Hot spots are then generated at the sliding interface, causing material damage, wear and low-frequency frictional vibrations [2][3][4]. Methods for determining the critical sliding speed for instability were pioneered by Burton et al [5] and have since been developed for practical brake and clutch geometries using the ÿnite element method [6,7]. However, these solutions all assume that the sliding speed is constant, whereas actual brakes and clutches operate at variable sliding speed.…”

Section: Introductionmentioning

confidence: 99%

Transient solution of a thermoelastic instability problem using a reduced order model

Al-Shabibi

Barber

2002

International Journal of Mechanical Sciences

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Above a certain critical speed, sliding systems with frictional heating such as brakes and clutches can exhibit thermoelastic instability in which non-uniform perturbations develop in the pressure and temperature ÿelds. A method is described in which the transient thermomechanical behaviour of such systems is approximated by a reduced order model, describing one or more dominant perturbations or eigenfunctions. The goal is to construct a mathematical model of the system with a modest number of degrees of freedom.If a single dominant perturbation is used, an integral expression can be written for the evolution of the perturbation with time. A more accurate description involving several terms requires that the transient behaviour be generated by a sequence of operations in which the sliding speed is piecewise constant. Both models are evaluated by comparison with a direct numerical simulation and prove to give good accuracy with a dramatic reduction in computing time. ?

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Section: Introductionmentioning

confidence: 99%

Transient solution of a thermoelastic instability problem using a reduced order model

Al-Shabibi

Barber

2002

International Journal of Mechanical Sciences

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“…Lee's model gives a better representation for the critical speed yet the computational complexity precludes extending it for a more realistic geometry. This complexity has been overcome by Du (1997) through the use of the finite element method to discretize the problem in space and formulate a discrete eigenvalue problem for the TEI. He examined his approach by solving a simple problem of half-plane sliding against rigid, non-conductive surface.…”

Section: Stability Analysismentioning

confidence: 99%

The Thermo-Mechanical Behavior in Automotive Brake and Clutch Systems

Al-Shabibi¹

2011

New Trends and Developments in Automotive System Engineering

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“…5. The FE method can be applied directly to a perturbation method [39]. The basic idea is not to solve the transient problem but to consider the conditions under which a small perturbation in the temperature eld can grow exponentially in time.…”

Section: Causes Of Btv/bpvmentioning

confidence: 99%

Aspects of Disc Brake Judder

Jacobsson

2003

Proceedings of the Institution of Mechanical Engineers, Part D:

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Brake judder is a braking induced, forced vibration occurring in di erent types of vehicles. The judder frequency is directly proportional to the revolution speed of the wheel and therefore also to the velocity of the vehicle. The driver experiences judder as vibrations in the steering wheel, brake pedal and oor. In the higher frequency range, the structural vibrations are accompanied by a sound. Brake judder primarily a ects the comfort but could, when confronting an inexperienced driver for the rst time, lead to faulty reactions and reduced driving safety. Furthermore, a speci c type of judder, so-called hot judder, is related to disc cracking. There are numerous publications available dealing with high frequency vibrations, such as brake squeal, including mathematical models for analysis and simulation. However, low frequency phenomena, such as brake judder and groan, have received much less attention. There is a growing interest from the automotive industry concerning brake judder. Even though few companies would admit that they have the problem, it is not unusual to meet people who have experienced the problem in their own passenger cars. Much of the knowledge concerning brake judder remains within the companies. Hence, very few people have the full picture. The purpose of the present paper is to give an overview of the brake judder problem.Keywords: brake torque variation, brake pressure variation, brake roughness, cold judder, disc thickness variation, disc brake, hot judder, hot spots, judder, thermoelastic instability NOTATION

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Finite Element Analysis of Frictionally Excited Thermoelastic Instability

Cited by 54 publications

References 8 publications

Transient solution of a thermoelastic instability problem using a reduced order model

Transient solution of a thermoelastic instability problem using a reduced order model

The Thermo-Mechanical Behavior in Automotive Brake and Clutch Systems

Aspects of Disc Brake Judder

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