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  4. Two-level finite element method for thin plate vibration subject to concentrated harmonic loads
 
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Two-level finite element method for thin plate vibration subject to concentrated harmonic loads

Author(s)
Leung, Andrew Yee Tak  
Author(s)
Wong, S. C.
Date Issued
1992
Publisher
Elsevier
Journal
Journal of Sound and Vibration
Volume
152
Issue
1
Start page
95
End page
105
Abstract
A thin plate subject to concentrated harmonic loads (forces or moments) is customarily analyzed either by a fine finite element mesh or by singular elements. In this paper an alternative method is recommended in which conventional finite elements with a fine mesh are used and the number of unknowns is reduced by interpolating the nodal displacements by means of the shape functions associated with the previously mentioned singular elements. New element matrices need not be generated and integration is avoided completely. Accurate results under a point load, comparable to those of the full finite element analysis, are achieved with a substantially reduced number of unknowns. Both concentrated forces and moments are considered.
URI
https://repository.sfu.edu.hk/handle/sfu/3239
DOI
10.1016/0022-460X(92)90067-8
SFU Affiliated Publication
No
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