A New Analytical Method for Spherical Thin Shells’ Axisymmetric Vibrations
Joint Authors
Nassit, Mariame
El Harif, Abderrahmane
Berbia, Hassan
Taha Janan, Mourad
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In order to improve the spherical thin shells’ vibrations analysis, we introduce a new analytical method.
In this method, we take into consideration the terms of the inertial couples in the stress couples’ differential equations of motion.
These inertial couples are omitted in the theories provided by Naghdi–Kalnins and Kunieda.
The results show that the current method can solve the axisymmetric vibrations’ equations of elastic thin spherical shells.
In this paper, we focus on verifying the current method, particularly for free vibrations with free edge and clamped edge boundary conditions.
To check the validity and accuracy of the current analytical method, the natural frequencies determined by this method are compared with those available in the literature and those obtained by a finite element calculation.
American Psychological Association (APA)
Nassit, Mariame& El Harif, Abderrahmane& Berbia, Hassan& Taha Janan, Mourad. 2020. A New Analytical Method for Spherical Thin Shells’ Axisymmetric Vibrations. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1193040
Modern Language Association (MLA)
Nassit, Mariame…[et al.]. A New Analytical Method for Spherical Thin Shells’ Axisymmetric Vibrations. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1193040
American Medical Association (AMA)
Nassit, Mariame& El Harif, Abderrahmane& Berbia, Hassan& Taha Janan, Mourad. A New Analytical Method for Spherical Thin Shells’ Axisymmetric Vibrations. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1193040
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193040