Extension of the scaled boundary finite element method to plate bending problems |
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| Authors: | Rolf Dieringer Jochen Hebel Wilfried Becker |
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| Institution: | 1. Fachgebiet Strukturmechanik, Technische Universität Darmstadt, Hochschulstraße 1, 64289 Darmstadt, Germany;2. Fachgebiet Festkörpermechanik, Technische Universität Darmstadt, Hochschulstraße 1, 64289 Darmstadt, Germany |
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| Abstract: | The scaled boundary finite element method (SBFEM) is extended to the static analysis of thin plates in the framework of Kirchhoff's plate theory. The governing equations are transformed into scaled boundary coordinates. Applying a discrete form of the Kantorovich reduction method results in a set of ordinary differential equations, which can be solved in a closed-form analytical manner. The element stiffness matrices for bounded and unbounded media can be computed, using appropriate subsets of the analytical solution. Examples show the efficiency of the method, applied to plate bending problems. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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