Stability and Stationary Response of a Skew Jeffcott Rotor with Geometric Uncertainty - Ecole Nationale des Travaux Publics de l'Etat
Article Dans Une Revue Journal of Computational and Nonlinear Dynamics Année : 2009

Stability and Stationary Response of a Skew Jeffcott Rotor with Geometric Uncertainty

Résumé

The aim of this work is to apply stochastic methods to investigate uncertain parameters of rotating machines with constant speed of rotation subjected to a support motion. As the geometry of the skew disk is not well defined, randomness is introduced and affects the amplitude of the internal excitation in the time-variant equations of motion. This causes uncertainty in dynamical behavior, leading us to investigate its robustness. Stability under uncertainty is first studied by introducing a transformation of coordinates (feasible in this case) to make the problem simpler. Then, at a point far from the unstable area, the random forced steady state response is computed from the original equations of motion. An analytical method provides the probability of instability, whereas Taguchi’s method is used to provide statistical moments of the forced response.
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hal-02194284 , version 1 (27-09-2024)

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Nicolas Driot, Alain Berlioz, Claude-Henri Lamarque. Stability and Stationary Response of a Skew Jeffcott Rotor with Geometric Uncertainty. Journal of Computational and Nonlinear Dynamics, 2009, 4 (2), ⟨10.1115/1.3079683⟩. ⟨hal-02194284⟩
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