The Determination of Natural Frequencies of Rectangular Plates with Mixed Boundary Conditions by Discrete Singular Convolution

Author

G. W. WEI, National University of Singapore
Yibao ZHAO, Singapore Management UniversityFollow
Y. XIANG, University of Western Sydney

Publication Type

Journal Article

Version

acceptedVersion

Publication Date

8-2001

Abstract

This paper introduces the discrete singular convolution algorithm for vibration analysis of rectangular plates with mixed boundary conditions. A unified scheme is proposed for the treatment of simply supported, clamped and transversely supported (with nonuniform elastic rotational restraint) boundary conditions. The robustness and reliability of the present approach are tested by a number of numerical experiments. All results agree well with those in the literature.

Keywords

Discrete singular convolution, Mixed boundary condition, Nonuniform boundary condition, Rectangular plate, Vibration analysis

Discipline

Physical Sciences and Mathematics

Research Areas

Quantitative Finance

Publication

International Journal of Mechanical Sciences

Volume

43

Issue

8

First Page

1731

Last Page

1746

ISSN

0020-7403

Identifier

10.1016/S0020-7403(01)00021-2

Publisher

Elsevier

Citation

WEI, G. W.; ZHAO, Yibao; and XIANG, Y.. The Determination of Natural Frequencies of Rectangular Plates with Mixed Boundary Conditions by Discrete Singular Convolution. (2001). International Journal of Mechanical Sciences. 43, (8), 1731-1746.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/937

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(01)00021-2