Keyword: «heat conduction equation»
A method for thermal diagnostics of friction for self-lubricating sliding bearings is proposed, which makes it possible to determine frictional heat generation and friction torque from temperature measurements in sliding bearings. The method is reduced to measuring the temperature in the vicinity of the friction zone, constructing a mathematical model, and solving the boundary inverse problem of restoring frictional heat generation and, accordingly, the friction torque. An algorithm for iterative regularization of the inverse problem for determining the function of frictional heat generation and a condition for stopping the iterative process are proposed. Numerical calculations show that the accuracy of restoring the specific intensity function of frictional heat generation using the developed algorithm for solving the inverse problem is commensurate with the accuracy of specifying temperature information.