Title
An axiomatic/asymptotic evaluation of the best theories for free vibration of laminated and sandwich shells using non-polynomial functions
Date Issued
2018
Access level
restricted access
Resource Type
journal article
Author(s)
Publisher(s)
Elsevier Ltd
Abstract
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. © 2018 Elsevier Ltd
Start page
1011
End page
1024
Volume
172
Number
9
Language
English
Scopus EID
2-s2.0-85049119927
Source
Engineering Structures
ISSN of the container
0141-0296
Sponsor(s)
This paper was written in the context of the project: “Diseño y optimización de dispositivos de drenaje para pacientes con glaucoma mediante el uso de modelos computacionales de ojos” founded by Cienciactiva, CONCYTEC, under the contract number N° 008-2016-FONDECYT. The authors of this manuscript appreciate the financial support from the Peruvian Government.
Sources of information:
Directorio de Producción Científica