Naslov
An axiomatic/asymptotic evaluation of the best theories for free vibration of laminated and sandwich shells using non-polynomial functions

Autori
Monge Soria, Joao Carlos ; Mantari Laureano, Jose Luis ; Charca Mamani, Samuel ; Vladimir, Nikola

Izvornik
Engineering structures (0141-0296) 172 (2018); 1011-1024

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Laminated composite, Carrera Unified Formulation (CUF), Best Theory Diagram, Axiomatic/asymptotic

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Brodogradnja, Strojarstvo, Temeljne tehničke znanosti

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