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Optimal decay ratio of damped slowly rotating Timoshenko beams
Author(s) -
Woźniak J.,
Firkowski M.
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201800222
Subject(s) - timoshenko beam theory , beam (structure) , rotation (mathematics) , acceleration , physics , exponential stability , stability (learning theory) , control theory (sociology) , classical mechanics , mechanics , mathematical analysis , mathematics , geometry , computer science , optics , nonlinear system , control (management) , quantum mechanics , machine learning , artificial intelligence
A stability analysis was performed in the problem of a rotating Timoshenko beam whose movement is controlled by the angular acceleration of the driving motor into which the beam is rigidly clamped. We introduce a damping operator with respect to a rotation angle of a cross section area of rotating Timoshenko beam model, and show the asymptotic stability of the system under certain assumptions. We find the optimal damping coefficient, maximizing the stability margin of the system.