Dynamics of Flexible Elements of a Drive under the Action of Impulsive Perturbations

For flexible elements of drives characterized by a constant speed of longitudinal motion, we propose a method for the analytic investigation of vibrations caused by the action of a periodic system of impulsive perturbations. On the basis of this method, we obtain analytic relations for the descripti...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024-02, Vol.279 (2), p.270-281
Main Authors: Andrukhiv, A. I., Huzyk, N. M., Sokil, B. I., Sokil, M. B.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Nonresonance
Perturbation
Resonance
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Summary:For flexible elements of drives characterized by a constant speed of longitudinal motion, we propose a method for the analytic investigation of vibrations caused by the action of a periodic system of impulsive perturbations. On the basis of this method, we obtain analytic relations for the description of the determining parameters of nonlinear vibrations in the analyzed class of systems for both nonresonance and resonance cases. It is shown that, in the resonance case, the value of the amplitude of transition through the resonance strongly depends on the speed of longitudinal motion of the flexible element.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07010-6