Geometry, static, vibration and bucking analysis and applications to thin elliptic paraboloid shells

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 twodimensional 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. © Krivoshapko and Gbaguidi-Aisse.

Авторы
Krivoshapko S.N. 1 , Gbaguidi-Aisse G.L.2
Редакторы
-
Издательство
Bentham Science Publishers B.V.
Номер выпуска
1
Язык
Английский
Страницы
576-602
Статус
Опубликовано
Подразделение
-
Номер
-
Том
10
Год
2016
Организации
  • 1 RUDN University, 6, Miklukho-Maklaya Str, Moscow, 117198, Russian Federation
  • 2 Laboratoire d’énergétique et de mécanique appliquées (LEMA), Ecole Polytechnique d’Abomey-Calavi, Université d’Abomey-Calavi, Cotonou, BP 2009, Benin
Ключевые слова
Analytical and numerical methods of shell analysis; Application of elliptic paraboloid shells; Elliptic paraboloid; Experimental methods of shell analysis; Grid system; Natural and forced vibrations; Shell; Shell stability
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4181/