Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-26T20:25:26.385Z Has data issue: false hasContentIssue false
  • English
  • Français

A Reduction Method for Buckling Problems of Orthotropic Plates

Published online by Cambridge University Press:  07 June 2016

P. Shuleshko
P. Shuleshko*
Affiliation:
New South Wales University of Technology
*
*Ukrainian Technical University, Germany
Get access

Summary

Several plate buckling problems are solved, using a reduction method. By this method the solution of an orthotropic plate can be reduced to the solution of an isotropic plate and the solution of a plate with bi-axial loading can be reduced to the solution of a plate with uni-axial loading and so on. Plates with simply-supported ends and various boundary conditions at the sides with uni-axial and bi-axial loading are considered and the necessary reduction equations are given.

Type
Research Article
Information
Aeronautical Quarterly , Volume 8 , Issue 2 , May 1957 , pp. 145 - 156
Copyright
Copyright © Royal Aeronautical Society. 1957

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. Shuleshko, P. Equation of Motion and Equilibrium for the Anisotropic and Non-Homogeneous Plates with Variable Thickness. Memoirs of the Scientific Research Institute of Industrial and Civil Engineering Buildings. Kharkiw. Ukraine, Vol, 2, pp. 212–238, 1938.Google Scholar
2. Shuleshko, P. On the General Theory of Plates with Variable Thickness (Thesis). Kharkow State University, Ukraine, 1940.Google Scholar
3. Shuleshko, P. On the Theory of Stability for Anisotropic and Non-Homogeneous Plates with Variable Thickness. Bulletin of the Industrial Academy, Kharkow, Ukraine, 1940.Google Scholar
4. Shuleshko, P. On the Stability of Thin Elastic Anisotropic Plates of Variable Rigidity Prikladnaya Matematika i Mechanika. Vol. 6, No. 2–3, pp. 139–150, 1942 (In Russian).Google Scholar
5. Lundquist, E. E. and Stowell, E. Z. Restraint Provided for a Flat Rectangular Plate by a Sturdy Stiffener Along an Edge of the Plate. N.A.C.A. Report 735, 1943.Google Scholar
6. Smith, R. C. T. The Buckling of Flat Plywood Plates in Compression. Australian Council for Aeronautics, Report 12, 1944.Google Scholar
7. Lechnitskyj, S. G. Anisotropic Plates. Hostechizdat, Moscow, 1947.Google Scholar
8. Timoshenko, S. Theory of Elastic Stability. McGraw-Hill, New York, 1936.Google Scholar
9. Shuleshko, P. Buckling of Rectangular Plates Uniformly Compressed in the Vertical Direction with Upper Edge Free. Journal of the Institution of Engineers of Australia, Vol. 25, No. 4–5, 1935.Google Scholar
10. Shuleshko, P. Buckling of Rectangular Plates Uniformly Compressed in Two Perpendicular Directions with One Free Edge and the Opposite Edge Elastically Restrained. Proceedings of the Shevchenko Scientific Society, Vol. II (XXX), New York, 1954.Google Scholar
11. Wittrick, W. H. Correlation Between Some Stability Problems for Orthotropic and Isotropic Plates under Bi-axial and Uni-axial Direct Stress. The Aeronautical Quarterly, Vol. IV, August 1952.Google Scholar
12. Timoshenko, S. On the Buckling of Compressed Plates. Bulletin of the Polytechnic Institute, Kiev, Ukraine, 1907.Google Scholar
13. Shuleshko, P. Stability of Thin Plates Which Have Part of the Contour Unsupported. Scientific Memoirs of the Ukrainian Technical University at Regensburg, Vol. I (IV), 1948. Google Scholar