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The boundary conditions on the sliding surface in one-dimensional transient heat problem of friction

机译:一维摩擦瞬态热问题中滑动表面的边界条件

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摘要

The problem of statement of the heat problems of friction is under consideration. Solutions to such problems have been analyzed for three different variants of heat boundary conditions on the contact surface. At first, an analytical solution has been obtained in quadratures of a one-dimensional boundary-value problem of heat conductivity for a tribosystem which consists of a semi-space sliding on a surface of a strip deposited on a semi-infinite foundation. In the particular case of relative sliding two semi-spaces the solution has been integrated completely. It has been shown that the most general conditions of imperfect heat contact of rubbing bodies have been proposed by Barber. From these conditions it is possible to obtain (in limiting cases of some input parameters) both the Ling's boundary conditions of the perfect heat contact, as well as the Podstrigach's conditions of imperfect heat contact with the same division of heat between rubbing bodies.
机译:摩擦热问题的陈述问题正在考虑中。对于接触表面上热边界条件的三种不同变体,已经分析了此类问题的解决方案。首先,在摩擦系统的一维热导率一维边值问题的平方中获得了解析解,该摩擦系统由在半无限地基上沉积的带材表面上滑动的半空间组成。在相对滑动两个半空间的特定情况下,解决方案已完全集成。已经表明,Barber已经提出了摩擦体不完全热接触的最一般条件。从这些条件中,有可能获得(在某些输入参数的有限情况下)完美热接触的Ling边界条件,以及Podstrigach不完全热接触的条件,其中摩擦体之间的热量相同。

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