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
Recommended Citation
Grimm, T.,
&
Gerdeen, J.
(1975).
Instability analysis of thin rectangular plates using the kantorovich method.
Journal of Applied Mechanics, Transactions ASME,
42(1), 110-114.
http://doi.org/10.1115/1.3423499
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/11657
