Vibration of a Beam with Concentrated Masses on Elastically Damping Supports
https://doi.org/10.21822/2073-6185-2023-50-2-169-176
Abstract
Objective. The aim of the study is to study the operation of multi-span beams with point masses under the simultaneous action of vector kinematic and force loads. Taking into account the influence of elastic-damping supports.
Method. The study is based on the solution of the boundary value problem and modeling.
Result. Free transverse vibrations of multi–span beams of constant cross-section (within each j-th span Aj, and Gj) are investigated taking into account elastic-damping discrete supports. Free and forced harmonic vibrations of the beam from vector kinematic and force perturbations are considered. Examples of solutions for various conditions of fixing a three-span beam at different point masses are given.
Conclusion. The author’s development can be adapted to the fluctuations of the continuo-discrete rods. This algorithm allows you to determine the natural frequencies and forms of free oscillations. It is also possible to calculate multi-span rods for the simultaneous action of vector kinematic and dynamic loads.
About the Authors
A. M. Kaziev
H.M. Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
Aslan M. Kaziev, Cand. Sci. (Eng.), Assoc. Prof., Department of Building Structures and Mechanics
173 Chernyshevsky St., Nalchik 360004
I. I. Kishit
H.M. Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
Idar I. Kishit, Graduate Student
173 Chernyshevsky St., Nalchik 360004
A. M. Zhinov
H.M. Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
Astemir M. Zhinov, Master’s Student
173 Chernyshevsky St., Nalchik 360004
K. M. Karchaev
H.M. Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
Kanshau M. Karchaev, Master’s Student
173 Chernyshevsky St., Nalchik 360004
A. A. Berbekov
H.M. Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
Astemir A. Berbekov, Master’s Student
173 Chernyshevsky St., Nalchik 360004
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Review
For citations:
Kaziev A.M., Kishit I.I., Zhinov A.M., Karchaev K.M., Berbekov A.A. Vibration of a Beam with Concentrated Masses on Elastically Damping Supports. Herald of Dagestan State Technical University. Technical Sciences. 2023;50(2):169-176. (In Russ.) https://doi.org/10.21822/2073-6185-2023-50-2-169-176
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