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中文摘要：
针对几何衰减外行波，推导了几何衰减平面波多次透射边界、几何衰减球面波多次透射边界以及2种边界的频域反射系数，与无衰波多次透射边界相比，基于几何衰减波特性的多次透射边界在透射几何衰减外行波时，反射系数最小,通过对有限元分析软件ANSYS进行二次开发，成功地将几何衰减波多次透射边界、无衰波多次透射边界以及粘弹性人工边界嵌入到有限元软件中，由3种人工边界下散射问题的有限元数值算例结果可知：考虑衰减波特性的二阶透射边界计算精度最高。
英文摘要：
Based on the transmitting character of scattered wave, the attenuating wave multi-transmitting artificial boundary （including 2-D and 3-D case） and its reflection coefficient were presented. Compared with the reflection coefficient of non-attenuating wave multi-transmittlng artificial boundary, the reflection coefficient of attenuating wave multi-transmitting artificial boundary was the least. By programming in APDL provided by ANSYS, three different artificial boundaries were added to ANSYS to simulate the infinite media. Comparison of the results of scattering problem indicated that the precision of attenuating wave multi-transmitting artificial boundary was the highest.
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