Non-linear dynamic response of a rotating machine

Abstract The dynamic response of a two-degree-of-freedom seismically mounted rotor system with cubic non-linearities is investigated. The rotating machine is subjected to internal forces caused by the eccentricity of the center of mass of the rotor. The equations of motion of the system are determined using Lagrange's equation. The method of multiple scales is then used to determined the response of the system; this is determined when the excitation frequency is near the first and second modal frequency under internal resonance conditions.

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