The present paper is part of a previous research, started in [1] with the proposal to neglect an energetic term in the dynamic analysis of Timoshenko-Ehrenfest beams. The resulting reduced theory turned out to be both simpler and more reliable than the complete, classical, approach. Whereas the original idea was heuristically justified, a sounder variationally consistent theory has been proposed in [2] and, later on, in [3]. Following the suggestion offered in [1-3], we initially describe the classical theory, and subsequently we propose two alternative hypotheses that lead to two differences aspects of the energy terms. Applying the variational approach, two new different boundary problems are deduced, which are direct generalizations of what was done previously. Both theories can be easily specialized for beams and plates. In addition, the theory is also specialized for the case of cylindrical shell.

Reduced Theories for Thick Shells

De Rosa, Maria Anna;
2022-01-01

Abstract

The present paper is part of a previous research, started in [1] with the proposal to neglect an energetic term in the dynamic analysis of Timoshenko-Ehrenfest beams. The resulting reduced theory turned out to be both simpler and more reliable than the complete, classical, approach. Whereas the original idea was heuristically justified, a sounder variationally consistent theory has been proposed in [2] and, later on, in [3]. Following the suggestion offered in [1-3], we initially describe the classical theory, and subsequently we propose two alternative hypotheses that lead to two differences aspects of the energy terms. Applying the variational approach, two new different boundary problems are deduced, which are direct generalizations of what was done previously. Both theories can be easily specialized for beams and plates. In addition, the theory is also specialized for the case of cylindrical shell.
2022
978-0-7918-8667-0
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/173897
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