Revenko Y. Oscillations and Dissipative Heating of Viscoelastic Bodies under Polyharmonic Deformation caused by a Motion of Surface Loads.

The dissertation is devoted to the development of models and methods of solution of problems about stationary polyharmonic oscillations and dissipative heating of viscoelastic bodies caused by moving surface loads. The problems have been solved under assumption that the material characteristics doesn't depend on temperature when coupled linear problem of thermoviscoelasticity have been divided on two separated problems - the problem of mechanics about stress and strain state and the problem of thermo conductivity with the known heat source. The solutions of quasi-static problems for cylinder and layer as well as the solutions of dynamic problems for thin-walled elements (rod, plate, cylindrical panel, closed cylindrical shell) have been obtained. The plane problem about the determining of critical parameter of loading has been solved with taking into account dependence of material characteristics on temperature. The influence of main factors, such as the body sizes, the width of loading area, the velocity of load motion on the thermomechanical behavior of the bodies has been investigated.