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边界元法在流—固相互作用分析中的应用

The Application of Boundary Element Method to Fiuid-Solid Interaction Analysis
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摘要 本文采用边界元法研究水与粘弹性介质在地震波入射条件下的相互作用问题。首先,采用半空间格林函数建立液体介质区域的边界元方程,然后考虑液—固界面的连续条件,获得水对固体介质的影响矩阵,最后用此影响矩阵修正固体介质的边界元方程。通过对简单问题的计算表明,采用本文方法求解流—固相互作用问题,其计算量与单独求解固体介质的波动问题时相当。 In this paper, the problem of the interaction between fluid and viscoelastic solid media by virtue of the incident seismic waves are investigated by the use of the boundary element method (BEM). Firstly, a boundary integral equation for the velocity potential of fluid is formulated, with the Green's function in an half space. Secondly, the continueous conditions on the interfaces are formed to obtain a matrix representing the influence of fluid upon the solid media. Finally, the boundary element equations for the solid media are modofied by the use of the influence matrix. A numerical example is given which indicates that this method for the computation of the problem of interaction between fluid and solids is quite economical.
机构地区 同济大学
出处 《上海力学》 CSCD 1990年第3期16-23,共8页 Chinese Quarterly Mechanics
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参考文献1

  • 1《地震工程概论》编写组,.地震工程概论[M]科学出版社,1985.

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