Analysis of the Problem of Stability of Thin Shells Compliant to Shear and Compression

The problem of stability of shells compliant to shear and compression is studied by the finite-element method. On the basis of relations of the geometrically nonlinear theory of thin shells compliant to shear and compression (six-mode version), we write the key equations for the determination of the...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-04, Vol.238 (2), p.108-115
Main Authors: Bernakevych, I. Ye, Vahin, P. P., Kozii, I. Ya, Kharchenko, V. M.
Format: Article
Language:English
Subjects:
Finite element analysis
Finite element method
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear programming
Shear
Shell stability
Stability analysis
Thin walled shells
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Summary:The problem of stability of shells compliant to shear and compression is studied by the finite-element method. On the basis of relations of the geometrically nonlinear theory of thin shells compliant to shear and compression (six-mode version), we write the key equations for the determination of their initial postcritical state and formulate the corresponding variational problem. A numerical scheme of the finite-element method is constructed for the solution of the problems of stability of these shells. The order of the rate of convergence of the scheme proposed for the numerical solution of the problems of stability is investigated.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04221-0