Abstract
This chapter describes the structural version of the finite element method, commonly used in analysis of structures like buildings, ships, aircrafts, etc. The structural version of the finite element method is based on energy minimization and appear in the literature to differ from the finite element method based on the Galerkin formulation of partial differential equations. We show that these two versions of the finite element method are mathematically equivalent for problems in structural analysis. Then we describe the structural elements available in Diffpack: the 2D/3D bar elements, the 2D beam element, the 2D frame element, and the 2D triangular Kirchhoff plate element. Programming of structural elements in Diffpack is outlined, with emphasis on adding new structural elements. Finally, we describe some Diffpack simulators for computing the deformation and stress state in structures built of bar, beam, frame, and plate elements.
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© 2003 Springer-Verlag Berlin Heidelberg
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Thorvaldsen, T., Langtangen, H.P., Osnes, H. (2003). Finite Element Modeling of Elastic Structures. In: Langtangen, H.P., Tveito, A. (eds) Advanced Topics in Computational Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18237-2_13
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DOI: https://doi.org/10.1007/978-3-642-18237-2_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-01438-6
Online ISBN: 978-3-642-18237-2
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