On the equivalence of the Flügge-Koiter buckling equations to those recently derived in current literature

Journal of Engineering Mathematics - Tập 31 - Trang 439-448 - 1997
H. Demiray1
1Department of Mathematics, Marmara Research Centre, Research Institute for Basic Sciences, Gebze-Kocaeli, Turkey

Tóm tắt

The main goal of this work is to prove the equivalence of various formulations existing in the current literature which give the governing equations of small displacements superimposed over initial static deformations of thin cylindrical shells. It is shown that the main difference comes from the definition of incremental stress resultants and the dependence of elastic coefficients on initial deformation. When the functional dependence of elastic coefficients on initial deformation is taken into consideration, it is shown that all the derivations are equivalent to each other.

Tài liệu tham khảo

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