Basic criteria to design and produce multistable shells

A shell can have multiple stable equilibria either if its initial curvature is sufficiently high or if a suitably strong pre-stress is applied. Under the hypotheses of a thin and shallow shell, we derive closed form results for the critical values of curvatures and pre-stresses leading to bistabilit...

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Bibliographic Details
Published in:Meccanica (Milan) 2016-10, Vol.51 (10), p.2305-2320
Main Authors: Hamouche, W., Maurini, C., Vincenti, A., Vidoli, S.
Format: Article
Language:English
Subjects:
Automotive Engineering
Bistability
Civil Engineering
Classical Mechanics
Criteria
Curvature
Economic models
Engineering Sciences
Exact solutions
Guidelines
Materials and structures in mechanics
Mathematical analysis
Mechanical Engineering
Mechanics
Physics
Physics and Astronomy
Shallow shells
Shell stability
Structural mechanics
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Summary:A shell can have multiple stable equilibria either if its initial curvature is sufficiently high or if a suitably strong pre-stress is applied. Under the hypotheses of a thin and shallow shell, we derive closed form results for the critical values of curvatures and pre-stresses leading to bistability and tristability. These analytical expressions allow to easily provide guidelines to build shells with different stability properties.
ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-016-0375-5