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A super element model for non‐linear analysis of stiffened box structures
Author(s) -
Jiang J.,
Olson M. D.
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620361305
Subject(s) - finite element method , isotropy , beam (structure) , vibration , static analysis , linear elasticity , structural engineering , numerical analysis , mathematics , newmark beta method , element (criminal law) , transient (computer programming) , mathematical analysis , engineering , computer science , physics , quantum mechanics , political science , law , operating system
A numerical model for non‐linear static and dynamic analysis of stiffened box structures is presented. The model is based on a new super element formulation which provides complete C 1 continuity for both plate and beam elements. Geometric and material non‐linearities are included and the temporal equations are solved by the implicit Newmark‐β method with Newton‐Raphson subiteration. The new formulation has been applied to the static, vibration and transient analysis of various structures such as flat plates, folded plates and rectangular boxes. Both isotropic and beam stiffened structures are considered and the results obtained are compared with other available solutions. It is observed that the new super element formulation can provide reasonable solutions to both linear and non‐linear problems of stiffened box structures. The mathematical formulation of the model is presented in this paper, while the numerical verifications are given in the companion paper. 1