Abstract
Earlier work has shown the possibility of formulating a consistent simple linear shell theory in terms of invariant displacement and stress functions. A similar approach is used in the proposed linearized equations which may be considered as an improvement of the Marguerre-Vlasov “shallow shell” equations. For the circular cylindrical shell and the spherical shell the results are as simple as those of the shallow-shell equations but equally accurate as those of the “rigorous” theories (Flügge, Van Der Neut, Vlasov).
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References
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Barta, T.A. (1971). A Contribution to a Linearized Engineering Shell Theory. In: Leipholz, H. (eds) Instability of Continuous Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65073-4_26
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DOI: https://doi.org/10.1007/978-3-642-65073-4_26
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