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- Title
In-plane stiffness of imperfect thin rectangular plates subjected to biaxial loads in elastic post-buckling region.
- Authors
Jahanpour, Alireza; Ahmadvand-Shahverdi, Farideh
- Abstract
The elastic post-buckling behavior of thin plates covers a relatively vast region in which geometry nonlinearity (large deflection) and material linearity (Hooke's low) are realized. In this region, a thin rectangular plate has constant stiffnesses in both orthogonal directions. Few simplified analysis guidelines have been analytically represented for in-plane stiffnesses of an elastic post-buckled thin plate subjected to biaxial loads. In this study, Marguerre's equations (the generalized form of von Karman equations), which describe the elastic post-buckling behavior of imperfect thin plates, are solved. Galerkin's method is used to solve these equations in a semi-analytical procedure. Simply supported imperfect thin rectangular plates are considered, and the stresses and displacements functions are obtained in two orthogonal directions to determine corresponding in-plane stiffnesses of the plate. Also, the maximum applicable load is obtained so that the material's linear behavior is maintained. The semi-analytical procedure has accuracy enough to predict the in-plane stiffness of post-buckled plates and can be easily used for practical purposes.
- Subjects
RECTANGULAR plates (Engineering); MECHANICAL buckling; VON Karman equations; GALERKIN methods; GEOMETRY; EQUATIONS
- Publication
Archive of Applied Mechanics, 2021, Vol 91, Issue 7, p2973
- ISSN
0939-1533
- Publication type
Article
- DOI
10.1007/s00419-021-01943-z