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近场波动模拟的一种应力人工边界
引用本文:杜修力,赵密,王进廷.近场波动模拟的一种应力人工边界[J].力学学报,2006,38(1):49-56.
作者姓名:杜修力  赵密  王进廷
作者单位:北京工业大学工程抗震与结构诊治实验室, 100022
基金项目:国家自然科学基金资助项目(50309005,50325826).
摘    要:采用平面波和远场散射波混合透射,引入无限介质线弹性本构关系建立了一种应力人工 边界条件. 其优点在于边界结点反应与内部有限元结点反应采用相同的积分格式计算,有限 元积分方法稳定时不存在人工边界失稳问题. 数值算例表明:边界精度高于现有黏性边 界、黏弹性人工边界,以及一、二阶透射人工边界.

关 键 词:近场波动  局部人工边界  稳定性  精度  应力人工边界
文章编号:0459-1879(2006)01-0049-08
收稿时间:2004-11-05
修稿时间:2005-10-09

A stress artificial boundary in FEA for near-field wave problem
Du Xiuli,Zhao Mi,Wang Jinting.A stress artificial boundary in FEA for near-field wave problem[J].chinese journal of theoretical and applied mechanics,2006,38(1):49-56.
Authors:Du Xiuli  Zhao Mi  Wang Jinting
Institution:1. Beijing Lab of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100022, China;2.Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China
Abstract:The stability and accuracy of local artificial boundary are two important criterions for evaluating its applied value in engineering. In this paper, a stress artificial boundary condition was developed by mixing the planar waves and the scattered waves transmitting into the linear elastic infinite media through artificial boundary. For the proposed boundary condition, the responses of boundary nodes and finite element nodes are calculated by the same integral method, and its stability condition is also the same as the finite element integral method, Numerical examples demonstrate that the accuracy of the proposed boundary is higher than that of existing viscous boundaries, viscous-spring boundaries, the first-order transmitting boundary and the second-order transmitting boundary.
Keywords:near-field wave  local artificial boundary  stability  accuracy  stress artificial boundary
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