Longitudinal vibrations of rods from dynamic and kinematic perturbations
https://doi.org/10.21822/2073-6185-2022-49-2-87-93
Abstract
Objective. In modern technology, elastic structures of structures, machines, and technical devices are widespread. In real conditions, the rods experience oscillations from dynamic and kinematic disturbances. The aim of the work is to develop methods and algorithms for solving problems of oscillations under dynamic and kinematic disturbances.
Method. The study is based on the application of the hypothesis of flat sections and the d'Alembert principle.
Result. The problem of longitudinal free and forced vibrations of rods is considered. As a result, the displacement function of transverse sections in the longitudinal direction of the rod was found, the spectra of natural forms jn and natural frequencies wn of vibrations were obtained.
Conclusion. A set of calculation programs has been created, which makes it possible to solve problems of rod vibrations. Spectra of eigenfrequencies wn and eigenmodes jn(x) of vibrations are obtained, and u(x, t) is found, the function of displacement of cross sections in the longitudinal direction of the rod.
About the Authors
L. A. Baragunova
H.M. Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
Senior Lecturer, Department "Building Structures and Mechanics",
173 Chernyshevskogo Str., Nalchik 360004
M. M. Shogenova
H.M. Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
Cand. Sci. (Physics and Mathematics), Assoc. Prof., Assoc. Prof., Department "Building Structures and Mechanics",
173 Chernyshevskogo Str., Nalchik 360004
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Review
For citations:
Baragunova L.A., Shogenova M.M. Longitudinal vibrations of rods from dynamic and kinematic perturbations. Herald of Dagestan State Technical University. Technical Sciences. 2022;49(2):87-93. (In Russ.) https://doi.org/10.21822/2073-6185-2022-49-2-87-93
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