Some Methods for Calculating Temperature During the Friction of Thermosensitive Materials

Yevtushenko, A.A.; Kuciej, М.; Och, Ewa

doi:10.1080/10407782.2014.949125

Cited by 12 publications

(9 citation statements)

References 20 publications

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“…[14][15][16] Analytical-numerical methods for solving one-dimensional thermal problems of friction for thermally sensitive materials with constant coefficient of friction were proposed in papers. [17][18][19][20][21] The aim of this work is to obtain a solution to the thermal problem of friction during braking, with temperature-dependent coefficient of friction for the two half-infinity bodies (the semi-spaces), which are made from thermally sensitive materials.…”

Section: Introductionmentioning

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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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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Section: Introductionmentioning

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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“…In addition, it is necessary to note that the actuality of these type of solutions has been proved by the fact that they are used as an "initial approximation" in the development of iterative algorithms for solving relevant non-linear thermal problems of friction for elements made of thermosensitive materials (Yevtushenko et al, 2015).…”

Section: Discussionmentioning

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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“…If the dependences of the thermophysical properties of the pad and the disk materials on temperature are nonlinear, they can be approximated by piecewise linear functions. 25 The distribution of the nonstationary temperature fields T l (z, t), l = 1, 2, in the strip and in the semi-space, will be found from the solution of the following thermal problem of friction…”

Section: Statement Of the Heat Conduction Problemmentioning

confidence: 99%

“…We write the solution of the linear heat conduction problem (24), (25), (27)- (30), and (34) by means of Duhamel formula 29…”

Section: Kirchhoff Functionsmentioning

confidence: 99%

Modeling of the temperature regime and stress state in the thermal sensitive pad-disk brake system

Yevtushenko

Kuciej

Och

2018

Advances in Mechanical Engineering

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An analytical-numerical nonlinear model to investigate temperature fields and thermal stresses in a pad and a disk for a single braking with a constant deceleration has been proposed. For this purpose, the boundary-value heat conduction problem for a tribosystem strip-semi-space has been formulated, which takes into account the temperature dependence of the thermophysical properties of materials. The solution to this problem has been obtained by a partial linearization through the Kirchhoff substitution, and next with a subsequent use of the method of linearizing parameters. Knowing the distribution of temperature fields in the elements of a friction pair, the thermal stresses have been established within the theory of thermal bending of plates. In this case, the temperature dependence of the Young's modulus, Poisson's ratio, and linear thermal expansion of the pad and disk materials have been additionally taken into account. The numerical analysis has been performed for a friction pair consisting of a titanium alloy pad and a steel disk.

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Some Methods for Calculating Temperature During the Friction of Thermosensitive Materials

Cited by 12 publications

References 20 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

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

Modeling of the temperature regime and stress state in the thermal sensitive pad-disk brake system

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