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An Accurate Solution Method for the Static and Vibration Analysis of Functionally Graded Reissner-Mindlin Rectangular Plate with General Boundary Conditions
Joint Authors
Pang, Fuzhen
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
2018-06-27
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper presents an accurate solution method for the static and vibration analysis of functionally graded Reissner-Mindlin plate with general boundary conditions on the basis of the improved Fourier series method.
In the theoretical formulations, the governing equations and the general elastic boundary equations are obtained by using Hamilton’s principle.
The components of admissible displacement functions are expanded as an improved Fourier series form which contains a 2D Fourier cosine series and auxiliary function in the form of 1D series.
The major role of the auxiliary function is to remove the potential discontinuities of the displacement function and its derivatives at the edges and ensure and accelerate the convergence of the series representation.
The characteristic equations are easily obtained via substituting admissible displacement functions into governing equations and the general elastic boundary equations.
Several examples are made to show the excellent accuracy and convergence of the current solutions.
The results of this paper may serve as benchmark data for future research in related field.
American Psychological Association (APA)
Li, Haichao& Liu, Ning& Pang, Fuzhen& Du, Yuan& Li, Shuo. 2018. An Accurate Solution Method for the Static and Vibration Analysis of Functionally Graded Reissner-Mindlin Rectangular Plate with General Boundary Conditions. Shock and Vibration،Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1215265
Modern Language Association (MLA)
Li, Haichao…[et al.]. An Accurate Solution Method for the Static and Vibration Analysis of Functionally Graded Reissner-Mindlin Rectangular Plate with General Boundary Conditions. Shock and Vibration No. 2018 (2018), pp.1-21.
https://search.emarefa.net/detail/BIM-1215265
American Medical Association (AMA)
Li, Haichao& Liu, Ning& Pang, Fuzhen& Du, Yuan& Li, Shuo. An Accurate Solution Method for the Static and Vibration Analysis of Functionally Graded Reissner-Mindlin Rectangular Plate with General Boundary Conditions. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1215265
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215265