Abstract
AbstractThis paper continues the senior author’s previous investigation of the slowly rotating Timoshenko beam in a horizontal plane whose movement is controlled by the angular acceleration of the disk of the driving motor into which the beam is rigidly clamped. It was shown before that this system preserves the total energy. We consider the problem of stability of the system after introducing a particular type of damping. We show that the energy of only part of the system vanishes. We illustrate obtained solution with the critical case of the infinite value of the damping coefficient.
Subject
Applied Mathematics,Mechanical Engineering
Cited by
2 articles.
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1. Existence of Optimal Stability Margin forWeakly Damped Beams;SEMA SIMAI Springer Series;2021
2. Optimal decay ratio of damped slowly rotating Timoshenko beams;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2019-08-02