This course makes students familiar with the most important current computational models used for the development of state-of-the-art combustion engines of motor vehicles. The stress is laid upon the mathematical and physical rudiments of calculation models and the respective software as well as the verification of results of the computer modelling by way of appropriate experimental methods. Finite Element Method (FEM) application, static problems. Dynamic multi-degree-of-freedom systems, modal analysis. Computational analysis of multi-degree-of-freedom forced oscillations. Experimental modal analysis and motion shape analysis. Torsional systems dynamics, natural frequency, forced oscillations. Torsional systems and transmissions, elastic couplings in torsional systems. Crankshaft torsional vibrations, energetic computational methods. Dynamic systems tuning, dynamic dampers application. Elastic machine bedding, elasticity midpoint, central axis of elasticity. Continuum dynamics fundamentals, longitudinal spar oscillations, wave equation. Beam bending oscillations, shaft wheeling oscillations. Membrane and plate oscillations, acoustic problems. Thermodynamic models of real working cycles of internal combustion engines.