Exact formulae for determination of the mean temperature and wear during braking |
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Authors: | A A Yevtushenko E G Ivanyk O O Yevtushenko |
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Institution: | (1) Faculty of Mechanics and Mathematics, Department of Mechanics, Lviv State University, Universytetska str. 1, Lviv 290602, Ukraine, UA;(2) Faculty of Agricultural Building, Department of Higher Mathematics, Lviv State Agrarian University, Lviv District, Dubljany, 292040, Ukraine, UA;(3) Faculty of Woodwork Technology, Department of Calculation Techniques and Modelling of Technology Processes, Ukrainian State University of Forestry and Wood Technology, Gen. Tchuprynka str. 103, Lviv, 290057, Ukraine, UA |
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Abstract: | This paper deals with the one-dimensional transient heat conductivity contact problem of a sliding two semi-spaces, which
induces effects of friction, heat generation and water during braking. In the present temperature analysis the capacity of
the frictional source on the contact plane dependent on the time of braking. The problem solved exactly using the Laplace
transform technique. Numerical results for the temperature are obtained for the different values of the input parameter, which
characterise the duration of the increase of the contact pressure during braking from zero to the maximum value.
An analytical formulae for the abrasive wear of the contact plane is obtained in the assumption, that the wear coefficient
is the linear function of the contact temperature.
Received on 8 September 1998 |
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