Please use this identifier to cite or link to this item: https://doi.org/10.1142/S021945541000349X
Title: Free vibration and buckling analysis of highly skewed plates by least squares-based finite difference method
Authors: Wu, W.X.
Shu, C. 
Wang, C.M. 
Xiang, Y.
Keywords: Buckling
Highly skewed plates
LSFD method
Singularities
Vibration
Issue Date: Jun-2010
Source: Wu, W.X., Shu, C., Wang, C.M., Xiang, Y. (2010-06). 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. ScholarBank@NUS Repository. https://doi.org/10.1142/S021945541000349X
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. © 2010 World Scientific Publishing Company.
Source Title: International Journal of Structural Stability and Dynamics
URI: http://scholarbank.nus.edu.sg/handle/10635/60370
ISSN: 02194554
DOI: 10.1142/S021945541000349X
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