RESEARCH ARTICLE
Geometry, Static, Vibration and Bucking Analysis and Applications to Thin Elliptic Paraboloid Shells
S.N. Krivoshapko1, G.L. Gbaguidi-Aisse2, *
Article Information
Identifiers and Pagination:
Year: 2016Volume: 10
First Page: 576
Last Page: 602
Publisher ID: TOBCTJ-10-576
DOI: 10.2174/1874836801610010576
Article History:
Received Date: 18/06/2016Revision Received Date: 31/10/2016
Acceptance Date: 19/11/2016
Electronic publication date: 19/12/2016
Collection year: 2016
open-access license: This is an open access article licensed under the terms of the Creative Commons Attribution-Non-Commercial 4.0 International Public License (CC BY-NC 4.0) (https://creativecommons.org/licenses/by-nc/4.0/legalcode), which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.
Abstract
A large number of references dealing with the geometry, static, vibration and buckling analysis of elliptic paraboloid shells exist in the literature. This review work attempts to organize and summarize the extensive published literature on the basic achievements in investigations of thin-walled structures in the form of elliptic paraboloids. Possibilities of elliptic paraboloids with reference to machine-building and construction designs and to the apparatuses used in theoretical physics are briefly considered. The geometric part of the review is extended due to consideration of optimization of surface’s sizes, researches of representation of a surface on the plane and introducing bibliographic material on fractal geometry. Several existent analytical and numeral methods of calculation of the examined shells on durability give a possibility to choose one of the methods for the solution of new two-dimensional or three-dimensional tasks. Geometrical researches, approximation and bending of elliptic paraboloid surfaces, research of the stress-strain state of shells by analytical and numerical methods, natural and forced vibration of a shell, forming and setting of surfaces, application of shells in the form of elliptic paraboloids are the main problems which are considered in this review.
