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The Use of Fractal Geometry to Improve Numerical Analyses of Dams

机译:分形几何在大坝数值分析中的应用

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In this work are applied the concepts of fractal geometry to study static and dynamical behavior of dams. It is known that many of the natural phenomena have fractal characteristic, such as distribution of dynamical properties and seismic excitations. Fractal geometry provides elements that allows automation finite element meshes design and its refinement. This can be accomplished using simple fractal models as that of Sierpinsky. It is of particular interest to observe that it is possible to follow the evolution ofplastified regions and the automatic refinement of the finite element mesk in these zones, which improves the results.
机译:在这项工作中应用了分形几何学的概念来研究大坝的静态和动态行为。众所周知,许多自然现象具有分形特征,例如动力特性的分布和地震激励。分形几何提供的元素允许自动化有限元网格的设计和完善。这可以通过使用简单的分形模型(如Sierpinsky模型)来完成。特别有趣的是,可以观察到塑化区域的演变以及这些区域中有限元网格的自动细化,从而改善了结果。

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