Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.compstruc.2006.08.055
Title: LSFD method for accurate vibration modes and modal stress-resultants of freely vibrating plates that model VLFS
Authors: Wang, C.M. 
Wu, W.X.
Shu, C. 
Utsunomiya, T.
Keywords: Least squares finite difference method
Modal stress-resultant
Natural boundary conditions
Plates
Very large floating structures
Vibration
Issue Date: Dec-2006
Source: Wang, C.M., Wu, W.X., Shu, C., Utsunomiya, T. (2006-12). LSFD method for accurate vibration modes and modal stress-resultants of freely vibrating plates that model VLFS. Computers and Structures 84 (31-32) : 2329-2339. ScholarBank@NUS Repository. https://doi.org/10.1016/j.compstruc.2006.08.055
Abstract: The Ritz method and some finite element formulations fail to furnish accurate modal stress-resultants for vibrating plates with free edges, even though the natural frequencies and mode shapes are accurately obtained. For example, by using the Ritz method, it was found that the modal twisting moments and shear forces violate the natural boundary conditions and that they contain erroneous "oscillations". This paper presents the least squares finite difference (LSFD) method for solving the freely vibrating plate problem. It will be shown herein that the modal stress-resultants obtained by the LSFD method satisfy the natural boundary conditions at the free edges without any oscillations. © 2006 Elsevier Ltd. All rights reserved.
Source Title: Computers and Structures
URI: http://scholarbank.nus.edu.sg/handle/10635/50711
ISSN: 00457949
DOI: 10.1016/j.compstruc.2006.08.055
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