STUDYING DYNAMICS OF A CANTILEVER BAR WITH VARIABLE BENDING STIFFNESS
Khabidolda O. Akhmediyev S.K. Vatin N.I. Abeuova L. Nurgoziyeva A.
2023al-Farabi Kazakh State National University
KazNU Bulletin. Mathematics, Mechanics, Computer Science Series
2023#119Issue 377 - 90 pp.
In this paper, there are studied the dynamic processes (free and forced oscillations) of isotropic cantilever plates in the form of an isosceles (wedge-shaped) triangle. In the study, the finite difference method has been applied using a regular one-dimensional (linear) grid. The finite-difference equations developed by the authors for point-distributed masses along the length of the wedge are presented, taking into account the linearly variable bending stiffness. On this basis, the results of studies in the form of amplitude-frequency characteristics (frequencies, dynamic forces and deflections) in the resonant and near-resonant regions have been obtained. The content of theoretical provisions and applied results can be widely used in the scientific and engineering fields and in the field of mechanics of structures.
amplitude-frequency characteristics , bar analogy , dynamic deflections and forces , frequency spectrum , grid method , numerical method , triangular plate , variable bending stiffness
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Karaganda University named after Academician E.A. Buketov, Karaganda, Kazakhstan
Abylkas Saginov Karaganda Technical University, Karaganda, Kazakhstan
Peter the Great St.Petersburg Polytechnic University, St.Petersburg, Russian Federation
Karaganda University named after Academician E.A. Buketov
Abylkas Saginov Karaganda Technical University
Peter the Great St.Petersburg Polytechnic University
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