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Steady-state response of a rotor excited by combined rotational and translational base motions

Abstract : In the transportation domain, the on-board rotor in bending is subjected not only to rotating mass unbalance but also to support movements. The equations of motion in bending of the rotating rotor take into account the geometric asymmetry of disks and/or shaft and consider six types of deterministic support motions. The application of Lagrange's equations using the finite element method based on the theory of Timoshenko leads to the equations of motion which highlight periodic parametric terms due to the asymmetry of the rotor and time-varying parametric terms due to the rotational base excitations. When the rotor base is subjected to combined rotation and sinusoidal translation, analytical solutions are derived and analyzed by means of Campbell diagrams and steady-state responses.
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Submitted on : Friday, November 15, 2019 - 2:07:46 PM
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M. Zaki Dakel, Sébastien Baguet, Régis Dufour. Steady-state response of a rotor excited by combined rotational and translational base motions. ICoVP2011 10th biennial International Conference on Vibration Problems, Sep 2011, Prague, Czech Republic. pp.395-400. ⟨hal-00624958⟩

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