Computation of modal stress resultants for completely free vibrating plates by LSFD method

Wu, W. X., Shu, C. and Wang, C. M. (2006) Computation of modal stress resultants for completely free vibrating plates by LSFD method. Journal of Sound and Vibration, 297 3-5: 704-726. doi:10.1016/j.jsv.2006.04.019


Author Wu, W. X.
Shu, C.
Wang, C. M.
Title Computation of modal stress resultants for completely free vibrating plates by LSFD method
Journal name Journal of Sound and Vibration   Check publisher's open access policy
ISSN 1095-8568
0022-460X
Publication date 2006-11-06
Sub-type Article (original research)
DOI 10.1016/j.jsv.2006.04.019
Open Access Status Not yet assessed
Volume 297
Issue 3-5
Start page 704
End page 726
Total pages 23
Place of publication London, United Kingdom
Publisher Elsevier
Language eng
Abstract When the Ritz method, the Galerkin's method and the finite element method are adopted for the vibration analysis of thin plates, the natural frequencies and mode shapes can normally be obtained accurately. However, the corresponding modal stress resultants usually violate the natural boundary conditions at the free edges and contain erroneous oscillations. Therefore, the accuracy of modal stress resultants obtained by such methods is uncertain. In this study, a meshfree least squares-based finite difference method (LSFD) is proposed for evaluating the vibration solutions of completely free plates. Examples treated include circular plates, elliptical plates, lifting-tab shaped plates and 45° right triangular plates. It will be shown that the LSFD method not only furnishes accurate natural frequencies, but also yields excellent modal stress resultants that satisfy the natural boundary conditions of the free edges and are smooth in their distribution over the plate domain.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
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Created: Tue, 17 Jan 2017, 20:43:48 EST by Anthony Yeates on behalf of Learning and Research Services (UQ Library)