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Three-Dimensional Exact Free Vibration Analysis of Spherical, Cylindrical, and Flat One-Layered Panels
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-09
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
The paper proposes a three-dimensional elastic analysis of the free vibration problem of one-layered spherical, cylindrical, and flat panels.
The exact solution is developed for the differential equations ofequilibrium written in orthogonal curvilinear coordinates for the free vibrations of simply supported structures.
These equations consider an exact geometry for shells without simplifications.
The main novelty is the possibility of a general formulation for different geometries.
The equations written in general orthogonal curvilinear coordinates allow the analysis of spherical shell panels and they automatically degenerate into cylindrical shell panel, cylindrical closed shell, and plate cases.
Results are proposed for isotropic and orthotropic structures.
An exhaustive overview is given of the vibration modes for a number of thickness ratios, imposed wave numbers, geometries, embedded materials, and angles of orthotropy.
These results can also be used as reference solutions to validate two-dimensional models for plates and shells in both analytical and numerical form (e.g., closed solutions, finite element method, differential quadrature method, and global collocation method).
American Psychological Association (APA)
Brischetto, Salvatore. 2014. Three-Dimensional Exact Free Vibration Analysis of Spherical, Cylindrical, and Flat One-Layered Panels. Shock and Vibration،Vol. 2014, no. 2014, pp.1-29.
https://search.emarefa.net/detail/BIM-1047930
Modern Language Association (MLA)
Brischetto, Salvatore. Three-Dimensional Exact Free Vibration Analysis of Spherical, Cylindrical, and Flat One-Layered Panels. Shock and Vibration No. 2014 (2014), pp.1-29.
https://search.emarefa.net/detail/BIM-1047930
American Medical Association (AMA)
Brischetto, Salvatore. Three-Dimensional Exact Free Vibration Analysis of Spherical, Cylindrical, and Flat One-Layered Panels. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-29.
https://search.emarefa.net/detail/BIM-1047930
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1047930