Instability Analysis of Thin Rectangular Plates Using the Kantorovich Method

[+] Author and Article Information
T. R. Grimm

Computer Sciences Division, Nuclear Division, Union Carbide Corporation, Oak Ridge, Tenn.

J. C. Gerdeen

Department of Mechanical Engineering and Engineering Mechanics, Michigan Technological University, Houghton, Mich.

J. Appl. Mech 42(1), 110-114 (Mar 01, 1975) (5 pages) doi:10.1115/1.3423499 History: Received December 01, 1973; Revised May 01, 1974; Online July 12, 2010


The extended Kantorovich method is used to obtain solutions for a large number of previously unsolved elastic buckling problems of thin rectangular plates. In the present work, this method is specially adapted to a numerical method of solution. Verification of the solution method is made by solving a large number of plate buckling problems with known classical solutions. Included among the new problems solved are plates with a variety of boundary conditions, plates on elastic foundations, and plates with a variable inplane compressive load applied to only one edge, together with several different in-plane prestress configurations to increase the magnitude of the critical stress.

Copyright © 1975 by ASME
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