This paper studies forced vibrations of a rigid rotor mounted on a balancing machine. The dynamic model is with two degrees of freedom and the rotor is unbalanced. The d’Alembert’s principle for a mechanical system (dynamic equilibrium) is used to produce the differential equations of motion. Small displacements for the rotor axis are studied. Vector equations are projected along certain coordinate axes to obtain equations without the involvement of reaction forces. Differential equations are non-linear. Three cases of unbalance are examined and the differential equations of motion are solved using MATLAB (Simulink) software. The values of the parameters were determined on the basis of an existing stand for balancing.
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