Bending Analysis of Piezolaminated Rectangular Plates under Electromechanical Loadings Using Multi-Term Extended Kantorovich Method

2013 ◽  
Vol 20 (6) ◽  
pp. 415-433 ◽  
Author(s):  
M. Tahani ◽  
A. M. Naserian-Nik
Keyword(s):  
Rectangular Plates ◽  
Kantorovich Method ◽  
Bending Analysis ◽  
Extended Kantorovich Method

Instability Analysis of Thin Rectangular Plates Using the Kantorovich Method

1975 ◽  
Vol 42 (1) ◽  
pp. 110-114 ◽  
Author(s):  
T. R. Grimm ◽  
J. C. Gerdeen
Keyword(s):  
Solution Method ◽  
Compressive Load ◽  
Classical Solutions ◽  
Rectangular Plates ◽  
Kantorovich Method ◽  
Extended Kantorovich Method ◽  
Plate Buckling ◽  
Method Of Solution ◽  
Solution Verification ◽  
Numerical Method Of Solution

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.

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