Publication Type
Journal Article
Version
acceptedVersion
Publication Date
12-2001
Abstract
Theoretical analysis of high frequency vibrations is indispensable in a variety of engineering designs. Much effort has been made on this subject in the past few decades. However, there is no single technique which can be applied with confidence to various engineering structures for high frequency predictions at present. This paper introduces a novel computational approach, the discrete singular convolution (DSC) algorithm, for high frequency vibration analysis of plate structures. Square plates with six distinct boundary conditions are considered. To validate the proposed method, a completely independent approach, the Levy method, is employed to provide exact solutions for a comparison. The proposed method is also validated by convergence studies. We demonstrate the ability of the DSC algorithm for high frequency vibration analysis by providing extremely accurate frequency parameters for plates vibrating in the first 5000 modes.
Keywords
Discrete singular convolution, High frequency vibration, High order modes, Plates, Wavelets
Discipline
Physical Sciences and Mathematics
Research Areas
Quantitative Finance
Publication
International Journal of Solids and Structures
Volume
39
Issue
1
First Page
65
Last Page
88
ISSN
0020-7683
Identifier
10.1016/s0020-7683(01)00183-4
Publisher
Elsevier
Citation
ZHAO, Yibao; WEI, G. W.; and XIANG, Y..
Discrete Singular Convolution for the Prediction of High Frequency Vibration of Plates. (2001). International Journal of Solids and Structures. 39, (1), 65-88.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/936
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1016/s0020-7683(01)00183-4