Free vibration and buckling analysis of highly skewed plates by least squares-based finite difference method

Wu, W. X., Shu, C., Wang, C. M. and Xiang, Y. (2010) Free vibration and buckling analysis of highly skewed plates by least squares-based finite difference method. International Journal of Structural Stability and Dynamics, 10 2: 225-252. doi:10.1142/S021945541000349X


Author Wu, W. X.
Shu, C.
Wang, C. M.
Xiang, Y.
Title Free vibration and buckling analysis of highly skewed plates by least squares-based finite difference method
Journal name International Journal of Structural Stability and Dynamics   Check publisher's open access policy
ISSN 0219-4554
1793-6764
Publication date 2010-06-01
Sub-type Article (original research)
DOI 10.1142/S021945541000349X
Open Access Status Not yet assessed
Volume 10
Issue 2
Start page 225
End page 252
Total pages 28
Place of publication Singapore, Singapore
Publisher World Scientific Publishing
Language eng
Formatted abstract
It is well-known that stress singularities occur at the obtuse corners of skew plates, especially when the skew angles are large. Owing to the stress singularities, accurate bending results, vibration frequencies and buckling loads of highly skewed plates are difficult to obtain accurately. In this paper, the mesh-free least squares-based finite difference (LSFD) method is proposed for solving the free vibration and buckling problems of highly skewed plates. As such vibration and buckling results are scarce in the open literature, the method was verified by comparing the LSFD solutions with existing ones having a skew angle θ ≤ 70°, or by carrying out convergence studies. The vibration and buckling results for plates with very large skew angle (θ = 80°) are presented for the first time. The close agreement observed in the comparison studies and the good convergence behavior of the LSFD solutions provide the confidence that these vibration and buckling results predicted by the LSFD method are of good accuracy.
Keyword Buckling
Highly skewed plates
LSFD method
Singularities
Vibration
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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