An Exact Series Solution for the Vibration of Mindlin Rectangular Plates with Elastically Restrained Edges
Joint Authors
Kai, Xue
Jiufa, Wang
Qiuhong, Li
Weiyuan, Wang
Ping, Wang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
An analysis method is proposed for the vibration analysis of the Mindlin rectangular plates with general elastically restrained edges, in which the vibration displacements and the cross-sectional rotations of the mid-plane are expressed as the linear combination of a double Fourier cosine series and four one-dimensional Fourier series.
The use of these supplementary functions is to solve the possible discontinuities with first derivatives at each edge.
So this method can be applied to get the exact solution for vibration of plates with general elastic boundary conditions.
The matrix eigenvalue equation which is equivalent to governing differential equations of the plate can be derived through using the boundary conditions and the governing equations based on Mindlin plate theory.
The natural frequencies can be got through solving the matrix equation.
Finally the numerical results are presented to validate the accuracy of the method.
American Psychological Association (APA)
Kai, Xue& Jiufa, Wang& Qiuhong, Li& Weiyuan, Wang& Ping, Wang. 2014. An Exact Series Solution for the Vibration of Mindlin Rectangular Plates with Elastically Restrained Edges. Shock and Vibration،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1047885
Modern Language Association (MLA)
Kai, Xue…[et al.]. An Exact Series Solution for the Vibration of Mindlin Rectangular Plates with Elastically Restrained Edges. Shock and Vibration No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1047885
American Medical Association (AMA)
Kai, Xue& Jiufa, Wang& Qiuhong, Li& Weiyuan, Wang& Ping, Wang. An Exact Series Solution for the Vibration of Mindlin Rectangular Plates with Elastically Restrained Edges. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1047885
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1047885