Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-22T18:41:40.236Z Has data issue: false hasContentIssue false
  • English
  • Français

Buckling and Postbuckling Analyses of a Skew Plate

Published online by Cambridge University Press:  05 May 2011

H. W. Liao  and
H. Y. Huang
H. W. Liao*
Affiliation:
Department of Information Technology, Ling Tung University, Taichung, Taiwan 40852, R.O.C.
H. Y. Huang*
Affiliation:
Department of Applied Mathematics, National Chung Hsing University, Taichung, Taiwan 40227, R.O.C.
*
* Assistant Professor, corresponding author
** Graduate student
Get access

Abstract

The applications of skew plates in the construction of aerospace structures are well known. The critical buckling load and post-buckling strength are two important design parameters of skew composite laminates. In this study, the refined buckling and nonlinear postbuckling solutions of a homogenous isotropic skew plate based on polynomial expansions of various degrees have been examined. Numerical results based on high-order Rayleigh-Ritz solutions are presented for certain type of oblique plates.

Keywords

BucklingPostbuckling deformationSkew plateRitz method
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 4 , December 2008 , pp. 347 - 355
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Anderson, R. A., “Charts Giving Critical Compressive Stress of Continuous Flat Sheet Divided in to Parallelogram Shaped Panels,” NACA, TN. 2392 (1951).Google Scholar
2.Guest, J., “The Buckling of Uniformly Compressed Parallelogram Plates Having All Edges Clamped,” Report SM 172, Aeronautical Research Laboratories, Melbourne, Australia (1951).Google Scholar
3.Wittrick, W. H., “Buckling of Oblique Plates with Clamped Edges Under Uniform Compression,” Aeronautical Quarterly, 4, pp. 151–163 (1953).CrossRefGoogle Scholar
4.Wittrick, W. H., “Buckling of Oblique Plates with Clamped Edges Under Uniform Shear,” Aeronautical Quarterly, 5, pp. 39–51 (1954).CrossRefGoogle Scholar
5.Ashton, J. E., “Stability of Clamped Skew Plates Under Combined Loads,” Journal of Applied Mechanics, 36, pp. 139–140 (1969).CrossRefGoogle Scholar
6.Prabhu, M. S. S. and Durvasula, S., “Stability of Clamped Skew Plates,” Appl. Sci. Res., 26, pp. 255–271 (1972).CrossRefGoogle Scholar
7.Thangam, B. P. V. and Reddy, D. V., “Stability Analysis of Skew Orthotropic Plates by the Finite Strip Method,” Computers and Structures, 8, pp. 599–607 (1978).Google Scholar
8.Kennedy, J. B. and Prabhakara, M. K., “Combined Load Buckling of Orthotropic Skew Plates,” Journal of Engineering Mechanics, 105, pp. 71–79 (1979).Google Scholar
9.Tham, L. G. and Sezto, H. Y., “Buckling Analysis of Arbitrarily Shaped Plates by Spline Finite Strip Method,” Computers and Structures, 36, pp. 729–735 (1990).CrossRefGoogle Scholar
10.York, C. B. and Williams, F. W., “Buckling Analysis of Skew Plate Assembles: Classical Plate Theory Results Incorporating Lagrangian Multipliers,” Computers and Structures, 36, pp. 625–635 (1993).Google Scholar
11.Reddy, A. R. K. and Palaninathan, R., “Buckling of Laminated Skew Plates,” Thin-Walled Structures, 22, pp. 241–259 (1995).CrossRefGoogle Scholar
12.Wang, S., “Buckling Analysis of Skew Fibre-Reinforced Composite Laminates Based on First-Order Shear Deformation Plates Theory,” Composite Structures, 37, pp. 5–19 (1997).CrossRefGoogle Scholar
13.Huyton, P. and York, C. B., “Buckling of Skew Plates with Continuity or Rotational Edge Restraint,” Journal of Aerospace Engineering, 14, pp. 92–101 (2001).CrossRefGoogle Scholar
14.Wang, X., Tan, M. and Zhou, Y., “Buckling Analyses of Anisotropic Plats and Isotropic Skew Plates by the New Version Differential Quadrature Method,” Thin-Walled Structures, 41, pp. 15–29 (2003).CrossRefGoogle Scholar
15.Leu, L.-J. and Huang, C.-W., “Stiffness Matrices for Linear and Buckling Analyses of Composite Beams with Partial Shear Connection,” Journal of Mechanics, 22, pp. 299–309 (2006)CrossRefGoogle Scholar
16.Jane, K. C., Liao, H. W. and Hong, W., “Validation of Rayleigh-Ritz Method on the Postbuckling Analysis of Rectangular Plates with Application to Delamination Growth,” Mechanics Research Communication, 30, pp. 531–538(2003).CrossRefGoogle Scholar
17.Argyris, J. H., “Continua and Discontinua,” Proceedings of the Matrix Methods in Structural Mechanics, Wright Air Development Center, Ohio, pp. 11–190 (1966).Google Scholar
18.Durvasula, S., “Buckling of Clamped Skew Plates,” AIAA Journal, 8, pp. 178–181 (1970).CrossRefGoogle Scholar
19.Wang, C. M., Liew, K. M. and Alwis, W. A. M., “Buckling of Skew Plates and Corner Condition for Simply Supported Edged,” Journal of Engineering Mechanics, 118, pp. 651–662 (1992).CrossRefGoogle Scholar