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Erschienen in:
2018 | OriginalPaper | Buchkapitel
14. Special Elements
verfasst von : Andreas Öchsner, Markus Merkel
Erschienen in: One-Dimensional Finite Elements
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Abstract
Some elements for special applications are presented in the scope of this chapter. The first special element extends the classical Bernoulli element by consideration of an elastic foundation. In the scope of this element, the so-called Winkler foundation, which assumes that the distributed reaction forces of the foundation are proportional at every point to the deflection, is considered. The second special element considers the case of a stress singularity. A beam element with a particular mapping between the local and natural coordinates allows that the stress at one node converges to infinity. The third special element considers that the geometry can extend to infinity at a boundary. For the derivation of these elements, special shape functions for the interpolation from the local to the global positions are introduced.