Numerical solution of the inverse problem of thermal diagnostics of friction in a system of radial sliding bearings with an account of rotation of the shaft

We propose the development of a method of thermal diagnostics of friction for a bearing system on a common rotating shaft. The method allows determining the friction forces torque by solving the boundary inverse problem of heat exchange to restore the frictional functions heat generation from temperature data. The influence of errors is investigated by computational experiments on the accuracy of restore of the frictional heat generation functions in temperature data in sliding bearings. We propose to solve the problem on local intervals with the subsequent 'gluing' of solutions at determining the solution of the inverse problem in a wide time interval with a small step necessary to take into account the shaft rotation.