A Series Solution for the Vibration of Mindlin Rectangular Plates with Elastic Point Supports around the Edges
Joint Authors
Pang, Fuzhen
Chen, Hailong
Li, Haichao
Du, Yuan
Li, Shuo
Liu, Ning
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-28
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
A series solution for the transverse vibration of Mindlin rectangular plates with elastic point supports around the edges is studied.
The series solution for the problem is obtained using improved Fourier series method, in which the vibration displacements and the cross-sectional rotations of the midplane are represented by a double Fourier cosine series and four supplementary functions.
The supplementary functions are expressed as the combination of trigonometric functions and a single cosine series expansion and are introduced to remove the potential discontinuities associated with the original admissible functions along the edges when they are viewed as periodic functions defined over the entire x-y plane.
This series solution is approximately accurate in the sense that it explicitly satisfies, to any specified accuracy, both the governing equations and the boundary conditions.
The convergence, accuracy, stability, and efficiency of the proposed method have been examined through a series of numerical examples.
Some numerical examples about the nondimensional frequency and mode shapes of Mindlin rectangular plates with different point-supported edge conditions are given.
American Psychological Association (APA)
Pang, Fuzhen& Li, Haichao& Du, Yuan& Li, Shuo& Chen, Hailong& Liu, Ning. 2018. A Series Solution for the Vibration of Mindlin Rectangular Plates with Elastic Point Supports around the Edges. Shock and Vibration،Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1215503
Modern Language Association (MLA)
Pang, Fuzhen…[et al.]. A Series Solution for the Vibration of Mindlin Rectangular Plates with Elastic Point Supports around the Edges. Shock and Vibration No. 2018 (2018), pp.1-21.
https://search.emarefa.net/detail/BIM-1215503
American Medical Association (AMA)
Pang, Fuzhen& Li, Haichao& Du, Yuan& Li, Shuo& Chen, Hailong& Liu, Ning. A Series Solution for the Vibration of Mindlin Rectangular Plates with Elastic Point Supports around the Edges. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1215503
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215503