求解结构-无限地基动力相互作用的高阶透射边界频域方法

发布时间：2018-05-24 03:37

本文选题：结构-地基相互作用 + 比例边界有限元法　；参考：《世界地震工程》2016年04期

【摘要】：基于比例边界有限元法(scaled boundary finite element method,SBFEM)对结构-无限地基系统进行了频域的动力相互作用分析。通过一种新的高阶透射边界对无限地基进行模拟,该透射边界是基于无限域动力刚度矩阵的连分式解形式,连分式的系数通过以动力刚度矩阵表示的比例边界有限元方程递推计算。通过数值算例验证了该高阶透射边界的收敛性,并与解析解进行了比较,表明该方法具有较高的精度。最后对重力坝-库水-无限地基系统进行了频域分析,将计算结果与无质量地基模型进行了对比。对比结果表明,所提地基模型计算的结果与无质量地基模型的计算结果相比降低约20%。该方法可以有效地进行二维和三维大型结构-地基相互作用分析。
[Abstract]:The frequency domain dynamic interaction analysis of a structure-infinite foundation system is carried out based on the scalable boundary finite element method SBF EMM (proportional boundary finite element method). A new high-order transmission boundary is used to simulate the infinite foundation. The transmission boundary is based on the continuous fractional solution of the infinite domain dynamic stiffness matrix. The coefficient of the continuous fraction is recursively calculated by the proportional boundary finite element equation expressed by the dynamic stiffness matrix. The convergence of the high order transmission boundary is verified by a numerical example, and compared with the analytical solution, it is shown that the method has a high accuracy. Finally, the frequency domain analysis of gravity dam-water-infinite foundation system is carried out, and the results are compared with the model of non-mass foundation. The results show that the calculated results of the proposed model are about 20% lower than those of the model without mass. This method can be used to analyze the two-dimensional and three-dimensional large-scale structure-foundation interaction.
【作者单位】：沈阳工业大学建筑工程学院;大连理工大学建设工程学部;
【基金】：国家自然科学青年基金项目(51109134) 中国博士后科学基金项目(2013T60283) 辽宁省高等学校优秀人才支持计划资助项目(LJQ2011009)
【分类号】：TU435

【相似文献】