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A Semianalytical Approach for Free Vibration Characteristics of Functionally Graded Spherical Shell Based on First-Order Shear Deformation Theory
Joint Authors
Pang, Fuzhen
Cui, Jie
Li, Haichao
Gao, Cong
Ren, Yi
Wang, Hongcheng
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-09
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper describes a unified solution to investigate free vibration solutions of functionally graded (FG) spherical shell with general boundary restraints.
The analytical model is established based on the first-order shear deformation theory, and the material varies uniformly along the thickness of FG spherical shell which is divided into several sections along the meridian direction.
The displacement functions along circumferential and axial direction are, respectively, composed by Fourier series and Jacobi polynomial regardless of boundary restraints.
The boundary restraints of FG spherical shell can be easily simulated according to penalty method of spring stiffness technique, and the vibration solutions are obtained by Rayleigh–Ritz method.
To verify the reliability and accuracy of the present solutions, the convergence and numerical verification have been conducted about different boundary parameters, Jacobi parameter, etc.
The results obtained by the present method closely agree with those obtained from the published literatures, experiments, and finite element method (FEM).
The impacts of geometric dimensions and boundary conditions on the vibration characteristics of FG spherical shell structure are also presented.
American Psychological Association (APA)
Pang, Fuzhen& Gao, Cong& Cui, Jie& Ren, Yi& Li, Haichao& Wang, Hongcheng. 2019. A Semianalytical Approach for Free Vibration Characteristics of Functionally Graded Spherical Shell Based on First-Order Shear Deformation Theory. Shock and Vibration،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1211509
Modern Language Association (MLA)
Pang, Fuzhen…[et al.]. A Semianalytical Approach for Free Vibration Characteristics of Functionally Graded Spherical Shell Based on First-Order Shear Deformation Theory. Shock and Vibration No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1211509
American Medical Association (AMA)
Pang, Fuzhen& Gao, Cong& Cui, Jie& Ren, Yi& Li, Haichao& Wang, Hongcheng. A Semianalytical Approach for Free Vibration Characteristics of Functionally Graded Spherical Shell Based on First-Order Shear Deformation Theory. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1211509
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1211509