NONLINEAR BUCKLED STATES OF RECTANGULAR PLATES

A constructive method is developed to establish the existence of buckled states of a thin, flat elastic plate that is rectangular in shape, simply supported along its edges, and subjected to a constant compressive thrust applied normal to its two short edges. Under the assumption that the stress function and the deformation of the plate are described by the nonlinear von Karman equation, the approach used yields information regarding not only the number of buckled states near an eigenvalue of the linearized problem, but also the continuous dependence of such states on the load parameter and the possible selection of that buckled state preferred by the plate.

• Corporate Authors:

  University of Wisconsin, Madison

  Mathematics Research Center
  Madison, WI  United States  53706
• Authors:
  • Knightly, G H
  • Sather, D
• Publication Date: 1972-6

Media Info

• Pagination: 26 p.

Subject/Index Terms

• TRT Terms: Buckling; Deflection; Elasticity (Mechanics); Rectangles; Structural plates
• Uncontrolled Terms: Rectangular plates
• Old TRIS Terms: Plate deflections
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00040884
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: MRC-TSR-1230 Tech Summ
• Contract Numbers: DA-31-124-ARO(D)-462
• Files: TRIS
• Created Date: Feb 14 1973 12:00AM