Instability analysis of thin rectangular plates using the kantorovich method

Document Type

Article

Publication Date

1-1-1975

Abstract

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 in-plane compressive load applied to only one edge, together with several different in-plane prestress configurations to increase the magnitude of the critical stress. © 1975 by ASME.

Publication Title

Journal of Applied Mechanics, Transactions ASME

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