Vibration of a Beam with Concentrated Masses on Elastically Damping Supports

Author:

Kaziev A. M.1,Kishit I. I.1,Zhinov A. M.1,Karchaev K. M.1,Berbekov A. A.1

Affiliation:

1. H.M. Berbekov Kabardino-Balkarian State University

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.

Publisher

FSB Educational Establishment of Higher Education Daghestan State Technical University

Subject

Polymers and Plastics,General Environmental Science

Reference22 articles.

1. Biderman V.L. Applied theory of mechanical oscillations. M.: Higher school. 1979; 416. (In Russ)

2. Dzhankulaev A.Ya., Kaziev A.M. Forced vibrations of rods under combined perturbations. Selected works of the scientificseminar “Mechanics”. Nalchik: Kab.-Balk. State village acad., 2002;(1):195-199.

3. Babakov I.M. Theory of vibrations. M.: Nauka. 1968; 560. (In Russ)

4. Kaziev A. M., Oscillations of Homogeneous and Continuum-Discrete Beams under Vector Harmonic and Random Perturbations,Cand. cand. tech. Sciences: 05.23.17 Nalchik, 2005; 130. RSL OD, 61:05-5/3003. (In Russ)

5. Kulterbaev Kh.P. Kinematically excited vibrations of a continuous-discrete multi-span beam. Bulletin of the Nizhny NovgorodUniversity. N.I. Lobachevsky. Proceedings of the X All-Russian Congress on Fundamental Problems of Theoretical andApplied Mechanics. 2011; 4 (2): 198-200. (In Russ)

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