Journal
ENGINEERING STRUCTURES
Volume 172, Issue -, Pages 1011-1024Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.engstruct.2018.06.020
Keywords
Shell; Laminated composite; Carrera Unified Formulation (CUF); Best Theory Diagram; Axiomatic/asymptotic
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Funding
- Cienciactiva, CONCYTEC [008-2016-FONDECYT]
- Peruvian Government
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This paper presents Best Theory Diagrams (BTDs) constructed from non-polynomial terms to identify best shell theories for the free vibration analysis of laminated and sandwich shell. The shell theories have been constructed using Axiomatic/Asymptotic Method (AAM). The refined models are implemented following the compactness of a unified formulation developed. The governing equations are derived from the Hamilton's Principle. Navier-Type solution technique is used for solving the eigenvalue problem of simply supported shell. The BTDs use 3D equilibrium solutions as a reference. The BTDs built from non-polynomial functions are compared with Maclaurin expansions. The results are compared with Layerwise solutions. Cylindrical and spherical shells with different layer-configurations are investigated. The results demonstrate that the shell models obtained from the BTD using non-polynomial terms can improve the accuracy obtained from Maclaurin expansion for a given order of expansion of a displacement field.
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