Postbuckling Analysis of Flexible Elastic Frames
- Authors: Khalilov S.A.1, Myntiuk V.B.1
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Affiliations:
- National Aerospace University (KhAI)
- Issue: Vol 12, No 1 (2018)
- Pages: 28-39
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212973
- DOI: https://doi.org/10.1134/S1990478918010040
- ID: 212973
Cite item
Abstract
completely geometrically nonlinear beam model based on the hypothesis of plane sections and expressed in terms of engineering strains and apparent stresses is applied to the structural analysis of frames. The numerical results are obtained by the Raley–Ritz method with a representation of solutions as a sum of analytical basis functions which were previously proposed by the authors. The convergence of approximate solutions is investigated. High degree of accuracy is demonstrated for both determination of the solution components and the fulfillment of equilibrium equations. It is shown that the limit values of external loads can substantially differ from those predicted by the Euler buckling analysis, which may lead to catastrophic consequences in designing thin-walled structures.
About the authors
S. A. Khalilov
National Aerospace University (KhAI)
Author for correspondence.
Email: khalilov@ukr.net
Ukraine, ul. Chkalova 17, Kharkov, 61070
V. B. Myntiuk
National Aerospace University (KhAI)
Email: khalilov@ukr.net
Ukraine, ul. Chkalova 17, Kharkov, 61070