About the authors
| First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address. | Rashit A. Kayumov, doctor of physical and mathematical sciences, professor, Kazan State University of Architecture and Engineering, Kazan, Russian Federation E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it , ORCID: 0000-0003-0711-9429 Lenar R. Khayrullin, candidate of technical sciences, associate professor, Kazan State University of Architecture and Engineering, Kazan, Russian Federation E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it , ORCID: 0000-0002-2870-4195 Ramil F. Gilyazitdinov, Kazan State University of Architecture and Engineering, Kazan, Russian Federation E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it , ORCID: 0009-0006-2631-3285 |
| Title of the article | On one variant of the energy method for solving the problem of beam stability |
| Abstract. | The problem of stability of a rod on an elastic base with various fastening conditions, including with various elastic supports, is relevant both in mechanical engineering and in construction. The purpose of this work is to develop a new method for solving the problem of rod stability, which allows improving the assessment of the critical load from above when using the energy method. To achieve this goal, it is necessary to present an energy formulation that differs from those available in the literature. At the same time, it must be shown that in some cases it allows to obtain a solution that gives a lower critical load value than other approaches. Further, it is necessary to verify the proposed approach using examples, which is demonstrated by the example of a pivotally supported beam of variable thickness. It is revealed that it gives a lower value of the critical load compared to that resulting from a solution using the Tymoshenko approach in calculating the work of the compressive force. This allows a more accurate assessment of the stability of rods and columns. |
| Keywords. | stability of the rod, energy approach, upper limit of the critical load, elastic supports, elastic base |
| For citations: | Kayumov R.A., Khayrullin L.R., Gilyazetdinov R.F., On one variant of the energy method for solving the problem of beam stability // News KSUAE, 2024, № 2(68), p. 105-113, DOI: 10.48612/NewsKSUAE/68.9, EDN: IASXFJ |
