Instability Analysis of Thin Rectangular Plates Using the Kantorovich Method
Keyword(s):
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.
2013 ◽
Vol 20
(6)
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pp. 415-433
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2015 ◽
Vol 23
(2)
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pp. 201-215
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2007 ◽
Vol 07
(02)
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pp. 179-192
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1976 ◽
Vol 45
(3)
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pp. 309-316
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1974 ◽
Vol 35
(1)
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pp. 35-45
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2017 ◽
Vol 865
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pp. 325-330
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2012 ◽
Vol 86
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pp. 118-130
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2011 ◽
Vol 471-472
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pp. 739-744
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1947 ◽
Vol 25
(4-6)
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pp. 49-55