doctoral candidate
Rostov na donu, Rostov-on-Don, Russian Federation
The article proposes a technique for calculating the side buckling of beams of variable rectangular section based on the energy method. This method is considered on the example of a two-section cantilever beam of variable width under the action of a concentrated force. The twist angle function was set in the form of a trigonometric series. As a result, the problem is reduced to a generalized eigenvalue problem.
timber beam, stability, variable stiffness, lateral buckling, eigenvalue problem
1. Karamisheva A. A., Yazyev S. B., Avakov A. A. Calculation of plane bending stability of beams with variable stiffness //Procedia Engineering. - 2016. - T. 150. - S. 1872-1877.
2. Lapina A. et al. Calculation of beams with corrugated wall on the stability of a flat bending shape //E3S Web of Conferences. - EDP Sciences, 2019. - T. 97. - S. 04067.
3. Yazyev S. et al. Side busking of the cantilever beam with narrow rectangular cross section //E3S Web of Conferences. - EDP Sciences, 2019. - T. 97. - S. 04066.
4. Lapina, A.P. Covershenstvovanie energeticheskogo metoda v raschetah balok na ustoychivost' ploskoy formy izgiba / A. P. Lapina, A. S. Chepurnenko, I. M. Zotov, B.M. Yazyev // Vestnik Volgogradskogo gosudarstvennogo arhitekturno-stroitel'nogo universiteta. Seriya: Stroitel'stvo i arhitektura. - 2019. - № 4 (77). - S. 5-16.
5. Makushin V.M., Savel'ev N.G., Nguen Van Hung. Ustoychivost' ploskoy formy polos pri sovmestnom deystvii poperechnoy i prodol'noy nagruzki // Raschety na prochnost'. - M.,1969, vyp.14. - S.268-289.
6. Timoshenko, S.P. Ustoychivost' uprugih sistem. - L., M.: Gostehizdat, 1946. - 532 s.
7. Smirnov A. F. Stroitel'naya mehanika: Dinamika i ustoychivost' sooruzheniy. - M.: Stroyizdat, 1984. - 416 s.
8. Chepurnenko A. et al. Calculation of wooden beams on the stability of a flat bending shape enhancement // MATEC Web of Conferences. EDP Sciences, 2018. - T. 196. - S. 01003.
9. Zotov I. M. et al. Rectangular Cross Section Beams Calculation on the Stability of a Flat Bending Shape Taking into Account the Initial Imperfections //Materials Science Forum. - Trans Tech Publications Ltd, 2020. - T. 974. - S. 551-555.
10. Zotov, I.M. et al. Calculation of the Rectangular Cross-Section Beams On the Side Buckling Taking into Account Creep //IOP Conference Series: Materials Science and Engineering. - 2019. - Vol. 661. - C. 012004
