The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition
Joint Authors
Pang, Fuzhen
Li, Lijie
Li, Haichao
Wang, Xueren
Du, Yuan
Li, Shuo
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-32, 32 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-31
Country of Publication
Egypt
No. of Pages
32
Main Subjects
Abstract EN
The aim of this paper is to extend the modified Fourier-Ritz approach to evaluate the free vibration of four-parameter functionally graded moderately thick cylindrical, conical, spherical panels and shells of revolution with general boundary conditions.
The first-order shear deformation theory is employed to formulate the theoretical model.
In the modified Fourier-Ritz approach, the admissible functions of the structure elements are expanded into the improved Fourier series which consist of two-dimensional (2D) Fourier cosine series and auxiliary functions to eliminate all the relevant discontinuities of the displacements and their derivatives at the edges regardless of boundary conditions and then solve the natural frequencies by means of the Ritz method.
As one merit of this paper, the functionally graded cylindrical, conical, spherical shells are, respectively, regarded as a special functionally graded cylindrical, conical, spherical panels, and the coupling spring technology is introduced to ensure the kinematic and physical compatibility at the common meridian.
The excellent accuracy and reliability of the unified computational model are compared with the results found in the literatures.
American Psychological Association (APA)
Li, Lijie& Li, Haichao& Pang, Fuzhen& Wang, Xueren& Du, Yuan& Li, Shuo. 2017. The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-32.
https://search.emarefa.net/detail/BIM-1192623
Modern Language Association (MLA)
Li, Lijie…[et al.]. The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition. Mathematical Problems in Engineering No. 2017 (2017), pp.1-32.
https://search.emarefa.net/detail/BIM-1192623
American Medical Association (AMA)
Li, Lijie& Li, Haichao& Pang, Fuzhen& Wang, Xueren& Du, Yuan& Li, Shuo. The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-32.
https://search.emarefa.net/detail/BIM-1192623
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192623