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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    Title :

    Forced vibrations of an elastically supported rigid rotor at different types of unbalance



    Conference:

    15TH INTERNATIONAL SCIENTIFIC CONFERENCE ON AERONAUTICS, AUTOMOTIVE, AND RAILWAY ENGINEERING AND TECHNOLOGIES (BulTrans-2023) ; 2023 ; Sozopol, Bulgaria


    Published in:

    Publication date :

    2024-02-22


    Size :

    9 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English