CALCULATION OF THE STABILITY OF A PLANE BENDING OF BEAMS WITH A VARIABLE CROSS-SECTIONAL WIDTH
Abstract and keywords
Abstract (English):
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.

Keywords:
timber beam, stability, variable stiffness, lateral buckling, eigenvalue problem
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References

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


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