The R-function method used to solve nonlinear bending problems for orthotropic shallow shells on an elastic foundation |
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Authors: | L V Kurpa E I Lyubitskaya I O Morachkovskaya |
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Institution: | 1.National Technical University “KPI”,Kharkov,Ukraine |
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Abstract: | The paper proposes a method to solve geometrically nonlinear bending problems for thin orthotropic shallow shells and plates
interacting with a Winkler–Pasternak foundation under transverse loading. This method is based on Ritz’s variational method
and the R-function method. The developed algorithm and software are used to solve a number of test problems and to study complex-shaped
shells. The effect of the shape of shells, the boundary conditions, the stiffness of the foundation, and the load distribution
on the behavior of isotropic and orthotropic shells undergoing geometrically nonlinear bending is studied |
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