STRESS AND DEFLECTION ANALYSES OF SHALLOW SHELLS WITH VARIABLE THICKNESS : Derivation and verification of basic equations

Author(s):  
Satoshi TAKI
2020 ◽  
Vol 92 (6) ◽  
pp. 3-12
Author(s):  
A.G. KOLESNIKOV ◽  

Geometric nonlinearity shallow shells on a square and rectangular plan with constant and variable thickness are considered. Loss of stability of a structure due to a decrease in the rigidity of one of the support (transition from fixed support to hinged support) is considered. The Bubnov-Galerkin method is used to solve differential equations of shallow geometrically nonlinear shells. The Vlasov's beam functions are used for approximating. The use of dimensionless quantities makes it possible to repeat the calculations and obtain similar dependences. The graphs are given that make it possible to assess the reduction in the critical load in the shell at each stage of reducing the rigidity of the support and to predict the further behavior of the structure. Regularities of changes in internal forces for various types of structure support are shown. Conclusions are made about the necessary design solutions to prevent the progressive collapse of the shell due to a decrease in the rigidity of one of the supports.


1992 ◽  
Vol 42 (6) ◽  
pp. 989-996 ◽  
Author(s):  
H. Matsuda ◽  
C. Morita ◽  
T. Sakiyama

Author(s):  
B Normuminov ◽  
R Abdikarimov ◽  
B Eshmatov ◽  
D Yulchiyev

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