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局部透射边界和叠加边界的精度分析与比较
引用本文:关慧敏,廖振鹏.局部透射边界和叠加边界的精度分析与比较[J].力学学报,1994,26(3):303-311.
作者姓名:关慧敏  廖振鹏
作者单位:国家地震局工程力学所
摘    要:本文研究了出平面和平面内波动在局部透射边界和叠加边界的反射系数,在研究中考虑了时空离散化的影响及反射波本身对反射系数的影响.采用一维有限元离散模型讨论了两种边界的阶数对反射系数的影响.通过比较这两种边界的反射系数得出以下结论:局部透射边界在有限元波动模拟中的精度高于叠加边界,且其优越性随着边界阶数的增加而提高。

关 键 词:有限元离散模型,局部人工边界,透射边界,叠加边界

A COMPARISON BETWEEN THE DISCRETE LOCAL TRANSMITTING BOUNDARY AND THE SUPERPOSITION BOUNDARY IN WAVE PROPAGATION
uan Huimin ,Liao Zhenpeng.A COMPARISON BETWEEN THE DISCRETE LOCAL TRANSMITTING BOUNDARY AND THE SUPERPOSITION BOUNDARY IN WAVE PROPAGATION[J].chinese journal of theoretical and applied mechanics,1994,26(3):303-311.
Authors:uan Huimin  Liao Zhenpeng
Abstract:The reflection coefficients of the discrete local transmitting bound ary(DLTB)and the superposition boundary(SB)in modeling anti-plane and in-plane wavemotions are studied.The effects of both space and time discretizations on wave motion andthe infiuence of the reflected wave on the coefficients are considered.One-dimensional finiteelement discrete model is adopted in discussing the variation of reflection coefficient withthe order of the corresponding boundary.It is shown that the DLTB is more accurate thanthe SB in finite element simulation of wave motion,especially when higher order boundaries are used.
Keywords:finite element discrete model discrete local transmitting boundary  superposition boundary
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