The statement of a dynamic axisymmetric coupled problem on the forced vibration and dissipative heating of viscoplastic bodies of revolution is given for a cyclic loading. The Bodner-Partom model is used to simulate the viscoplastic material behaviour. The technique used for solving the problem enables one to incorporate the generalized flow theory. The equations of motion are integrated with the use of the Newmark scheme. The iterative scheme of the variable parameters of elasticity is applied at each time step, and the linearized thermomechanical problem is solved by the use of FEM. Several regularities of the coupled thermomechanical behaviour are studied in the case of the problem on bending resonant vibrations and vibrational heating of a disc made of an aluminum alloy.

• Жук Ярослав Олександрович (1967–) (фізико-математичні науки)
• Козлов Володимир Іванович (юридичні науки)

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