Publication Type
Journal Article
Version
acceptedVersion
Publication Date
6-2002
Abstract
This paper presents the Levy method to investigate the vibration behaviour of multi-span rectangular plates. The Levy method is applicable and analytical for rectangular plates with at least two parallel simply supported edges. The continuity at an interface between two spans is maintained by imposing both the essential and natural boundary conditions along the interface. The impact of the internal line supports on the vibration behaviour of the plates is investigated by varying both the number of internal lines and the line positions. Results for the vibration of two- and three-span rectangular plates are presented, in which the first-known exact solutions for plates involving free edges are included. The present results may serve as benchmark solutions for such plates.
Keywords
Exact solution, Internal line supports, Levy-type solution, Multi-span rectangular plates, Vibration
Discipline
Physical Sciences and Mathematics
Research Areas
Quantitative Finance
Publication
International Journal of Mechanical Sciences
Volume
44
Issue
6
First Page
1195
Last Page
1218
ISSN
0020-7403
Identifier
10.1016/S0020-7403(02)00027-9
Publisher
Elsevier
Citation
XIANG, Y.; ZHAO, Yibao; and WEI, G. W..
Levy Solutions for Vibration of Multi-Span Rectangular Plates. (2002). International Journal of Mechanical Sciences. 44, (6), 1195-1218.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/934
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/S0020-7403(02)00027-9