Hostname: page-component-848d4c4894-sjtt6 Total loading time: 0 Render date: 2024-07-06T16:29:33.101Z Has data issue: false hasContentIssue false
  • English
  • Français

Bending, buckling and vibration of antisymmetrically laminated angle-ply rectangular simply supported plates

Published online by Cambridge University Press:  04 July 2016

I.-H. Yang
I.-H. Yang*
Affiliation:
Department of Mechanical Engineering, Chinese Military Academy, Feng-Shan, Taiwan 83005, R.O.C.
Get access Rights & Permissions [Opens in a new window]

Summary

Affine transformation and similarity rules has been used to solve the classical bending, buckling, and vibration problems of orthotropic plates. The present work extends these concepts to antisymmetric angle-ply laminated plates by employing a simple transformation, utilising previous material constant definitions by Tsai and Brunelle, and a similarity parameter. With the help of certain defined characteristic and bounded quantities, comprehensive solutions are found to this problem; hence, the curves presented in the text are generic rather than specific. The results indicate that the frequency parameters and buckling coefficients increase with increasing generalised rigidity ratio D* and decrease with increasing generalised Poisson’s ratio ε, and the static deflection coefficients decrease with increasing D* and increase with increasing ε. The results of a reduced set of equations agree with those obtained by previous investigators.

Type
Research Article
Information
The Aeronautical Journal , Volume 93 , Issue 927 , September 1989 , pp. 265 - 271
Copyright
Copyright © Royal Aeronautical Society 1989 

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. Whitney, J. M. Bending-extensional coupling in laminated plates under transverse loading, J Compos Mater, 1969, 3, p 20.Google Scholar
2. Pryor, C. W. jr and Barker, R. M. Finite element analysis of bending-extensional coupling in laminated composites J Compos Mater, 1970, 4, p 549.Google Scholar
3. Hsu, P. W. and Herakovich, C. T. Edge effects in angle-ply composite laminates, Compos Mater, 1977, 11, p 422.Google Scholar
4. Bert, C. W. and Chen, T. L. C. Effect of shear deformation on vibration of antisymmetric angle-ply laminated rectangular plates, Int J Solids Struct, 1978, 14, p 465.Google Scholar
5. Mei, C. and Wentz, K. R. Large amplitude random response of angle-ply laminated composite plates, AIAA J, 1982, 20, p 1450.Google Scholar
6. Brunelle, E. J. and Oyibo, G. A. Generic buckling curves for specially orthotropic rectangular plates, AIAA J, 1983, 21, p 1150.Google Scholar
7. Oyibo, G. A. and Brunelle, E. J. Vibration of circular orthotropic plates in affine space, AIAA J, 1985, Vol 23, p 296.Google Scholar
8. Yang, I. H. and Kuo, W. S. Generic Buckling of Specially Orthotropic Cylindrical Shells, In: Sih, G. C. and Hsu, S. E. (eds), Advanced Composite Materials and Structures, 1987.Google Scholar
9. Yang, I. H. and Shieh, J. A. Vibrations of initially stressed thick, rectangular, orthotropic plates, J Sound Vibr, 1987, 119, p545.Google Scholar
10. Yang, I. H. and Liu, C. R. Buckling and bending behaviour of initially stressed specially orthotropic thick plates, Int J Mech Sci, 1987, 29, p 779.Google Scholar
11. Brunelle, E. J. The fundamental constants of orthotropic affine plate/slab equations, AIAA J, 1985, 23, p 1957 Google Scholar
12. Yang, I. H. and Kuo, W. S. The global constants in orthotropic affine space, J Chin Soc Mech Eng, 1986, 7, p 355.Google Scholar
13. Brunelle, E. J. Eigenvalue similarity rules for symmetric cross-ply laminated plates, AIAA J 1986, 24, p 151.Google Scholar
14. Jones, R. M. Mechanics of Composite Materials, 1975.Google Scholar
15. Tsai, S. W. Structural Behavior of Composite Materials, NASA CR-71, 1964.Google Scholar
16. Jones, R. M., Morgan, H. S. and Whitney, J. M. Buckling and vibration of antisymmetric laminated angle-ply rectangular plates, J Appl Mech, 1973, 95, p 1143.Google Scholar
17. Wittrick, W. H. On the buckling of oblique plates in shear, Aircr Eng, 1956, 28, p 25.Google Scholar