One-dimensional thermal problem of friction during braking: The history of development and actual state

The influence of the thermal sensitivity of a coefficient of friction and thermophysical properties of the pad and disk materials on the temperature distribution during single braking has been studied. For this purpose, the corresponding one-dimensional thermal problem of friction at braking has been formulated. The solution to such nonlinear problem has been made in two stages. First, the partial linearization was carried out using Kirchhoff's substitution, and then, the initial problem for a system of nonlinear ordinary differential equations was obtained by method of lines. Numerical solution to problem was received by Adams' method realized in the DIFSUB package. For a friction pair, disk (steel)-pad (retinax), an analysis of the evolution of sliding speed and temperature was carried out. The results obtained within the model that took into account the mutual influence between the speed and temperature were compared with those obtained without taking into account such effects.

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“…A more extensive discussion of the theoretical models and computational methods can be found, for example, in a review article. 7 …”

Section: Numerical Analysismentioning

confidence: 99%

Effect of the thermal sensitivity in modeling of the frictional heating during braking

Yevtushenko

Kuciej

Och

et al. 2016

Advances in Mechanical Engineering

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“…Analytical equations to determine temperature and thermal stresses, generated as a result of frictional heating, are predominantly obtain from solution to a one-dimensional thermal problem of friction (Evtushenko et al, 2000;Yevtushenko et al, 2012;2014). Acceptance of a one-dimensional heat conduction model is reasoned for high values of Peclet number (for braking at high speed) (Blok, 1955).…”

Section: Introductionmentioning

confidence: 99%

Thermal Stresses Due to Frictional Heating with Time-Dependent Specific Power of Friction

Topczewska

2017

Acta Mechanica Et Automatica

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Abstract:In this paper influence of temporal profile of the specific friction power (i.e. the product of the coefficient of friction, sliding velocity and contact pressure) on thermal stresses in a friction element during braking was investigated. Spatio-temporal distributions of thermal stresses were analytically determined for a subsurface layer of the friction element, based on the model of thermal bending of a thick plate with unfixed edges (Timoshenko and Goodier , 1970). To conduct calculations, the fields of dimensionless temperature were used. These fields were received in the article (Topczewska, 2017) as solutions to a one-dimensional boundary-value problem of heat conduction for a semi-space heated on its outer surface by fictional heat flux with three, different time profiles of the friction power.

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“…A review of achievements relating to the methods of formulating and solving thermal problems of friction during braking with the above-mentioned schemes and boundary conditions, i.e. one-dimensional boundary-value problems of heat conduction with account of frictional heat generation, was presented in the article by Yevtushenko and Kuciej (2012). In this paper, the semi-space -semi-space scheme is considered, therefore, corresponding achievements are presented exclusively for this tribosystem.…”

Section: Introductionmentioning

confidence: 99%

Effect of the temporal profile of the friction power on temperature of a pad-disc brake system

Yevtushenko¹,

Kuciej²,

Topczewska³

2019

Journal of Theoretical and Applied Mechanics

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A mathematical model to analyse the influence of change of the friction power over time on temperature of a pad-disc tribosystem has been proposed. For this purpose, a boundary--value problem of heat conduction for two semi-infinite bodies with taking into account heat generation due to friction on the contact surface has been formulated. Exact solutions of this problem were obtained for seven temporal profiles of the specific heat generation power, which were established experimentally. For selected friction materials, numerical analysis of the spatiotemporal temperature distributions and heat fluxes intensities were executed. The obtained results were compared with a corresponding data which were found by means of the known approximate solution.

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One-dimensional thermal problem of friction during braking: The history of development and actual state

Cited by 52 publications

References 75 publications

Effect of the thermal sensitivity in modeling of the frictional heating during braking

Effect of the thermal sensitivity in modeling of the frictional heating during braking

Thermal Stresses Due to Frictional Heating with Time-Dependent Specific Power of Friction

Effect of the temporal profile of the friction power on temperature of a pad-disc brake system

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