Finite element stability analysis of curved beams on elastic foundation

✍ Scribed by M.R. Banan; G. Karami; M. Farshad

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 443 KB
• Volume: 14
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/0895-7177(90)90304-6

✦ Synopsis

A Finite Element (FE) formulation has been developed for the stability analysis of curved beams on elastic foundations. The element shape function adapted herein embodies the rigid as well as the deformation modes, With twelve degrees of freedom the master element can represent all possible general shapes of spatial curved beams and arches. The kinematical relations are solved to develop the shape functions, therefore the precise behavior of the beam has been taken into consideration in FE formulations. A linear stability theory based on a linear theory prior to buckling and the small deformation theory for the post-buckling is employed. In-plane as well as out-of-plane buckling problems of the arches and curved beams can be investigated and the corresponding buckling loads and buckling modes can be obtained.