FE/PML numerical schemes for dynamic soil-structure interaction and seismic wave propagation analysis
FE/PML numerical schemes for dynamic soil-structure interaction and seismic wave propagation analysis
复制标题
用于动态土壤-结构相互作用和地震波传播分析的 FE/PML 数值方案
DOI：
10.1016/j.proeng.2017.09.222
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Rackwitz
中科院分区：
文献类型：
--
作者：
Fontara;Schepers;Savidis;Rackwitz
波浪在无界介质中传播的数值解在许多工程应用中具有重要意义。在有限元中应用人工边界的另一种方法是完全匹配层技术。这种技术的主要思想是在有限区域周围应用吸收层，几乎完全吸收从有限区域传播的所有入射角和频率的波。通过在层内进行复值坐标变换，可以得到一个完美匹配的层，这种变换可以表示为材料性质的变化，也可以表示为坐标的拉伸。这两种方法都应用于PML公式，并在商业有限元程序中实现。仿真结果验证了有限元/PML模型的准确性以及所建立的模型处理复杂动力土-结构相互作用系统的能力。
The numerical solution of wave propagation in unbounded media is of great importance in many engineering applications. An alternative approach to the application of artificial boundaries in the FEM is the Perfectly Matched Layer (PML) technique. The main idea of this technique is that an absorbing layer is applied around the finite region of interest absorbing almost perfectly waves of all incident angles and frequencies propagating from the bounded region. A perfectly matched layer can be obtained by performing a complex-valued coordinate transformation inside the layer which can be expressed either as a change in the material properties or as a stretching of the coordinates. Both approaches are applied to the PML formulation and implemented in a commercial FEM program. All simulation results demonstrate the accuracy of the FE/PML models and the ability of the developed models to deal with complex dynamic soil-structure interaction systems.