A numerical framework was proposed for the seismic analysis of underground structures in layered ground under inclined P-SV waves.The free-field responses are first obtained using the stiffness matrix method based on ...A numerical framework was proposed for the seismic analysis of underground structures in layered ground under inclined P-SV waves.The free-field responses are first obtained using the stiffness matrix method based on plane-wave assumptions.Then,the domain reduction method was employed to reproduce the wavefield in the numerical model of the soil–structure system.The proposed numerical framework was verified by providing comparisons with analytical solutions for cases involving free-field responses of homogeneous ground,layered ground,and pressure-dependent heterogeneous ground,as well as for an example of a soil–structure interaction simulation.Compared with the viscous and viscous-spring boundary methods adopted in previous studies,the proposed framework exhibits the advantage of incorporating oblique incident waves in a nonlinear heterogeneous ground.Numerical results show that SV-waves are more destructive to underground structures than P-waves,and the responses of underground structures are significantly affected by the incident angles.展开更多
被动控制系统调谐质量阻尼器(Tuned Mass Damper,TMD)或调谐液体阻尼器(Tuned Liquid Damper,TLD)刚度相对主体结构非常小,而且通常是非线性的,所以动力时程计算中极易出现病态刚度矩阵。当主体结构未知量个数相当大时,刚度矩阵的病态...被动控制系统调谐质量阻尼器(Tuned Mass Damper,TMD)或调谐液体阻尼器(Tuned Liquid Damper,TLD)刚度相对主体结构非常小,而且通常是非线性的,所以动力时程计算中极易出现病态刚度矩阵。当主体结构未知量个数相当大时,刚度矩阵的病态很难避免。为了使病态方程得到改善,本文利用主体结构振型叠加法降低方程阶数。在完成降阶后,根据Newmark-β法推导了计算地震作用下每一时刻结构响应的公式,并将整个算法使用MATLAB编译为程序。通过与已有文献中ABAQUS模拟结果的对比,得出误差在2.9%～8.4%范围内,说明本算法可以提高计算效率,具有较高的精确度。展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.41922059,42177134,and 51778487)Fundamental Research Funds for the Central Universities,CHD(300102262506)Top Discipline Plan of Shanghai Universities-Class I.
文摘A numerical framework was proposed for the seismic analysis of underground structures in layered ground under inclined P-SV waves.The free-field responses are first obtained using the stiffness matrix method based on plane-wave assumptions.Then,the domain reduction method was employed to reproduce the wavefield in the numerical model of the soil–structure system.The proposed numerical framework was verified by providing comparisons with analytical solutions for cases involving free-field responses of homogeneous ground,layered ground,and pressure-dependent heterogeneous ground,as well as for an example of a soil–structure interaction simulation.Compared with the viscous and viscous-spring boundary methods adopted in previous studies,the proposed framework exhibits the advantage of incorporating oblique incident waves in a nonlinear heterogeneous ground.Numerical results show that SV-waves are more destructive to underground structures than P-waves,and the responses of underground structures are significantly affected by the incident angles.
基金Supported by the National Natural Science Foundation of China （50375026） the Project of Liaoning Province Department of Education （20060387） Liaoning Province, Guideline Plan Project on Safety in Production and Development of Technology （[2009] No. 88）
文摘被动控制系统调谐质量阻尼器(Tuned Mass Damper,TMD)或调谐液体阻尼器(Tuned Liquid Damper,TLD)刚度相对主体结构非常小,而且通常是非线性的,所以动力时程计算中极易出现病态刚度矩阵。当主体结构未知量个数相当大时,刚度矩阵的病态很难避免。为了使病态方程得到改善,本文利用主体结构振型叠加法降低方程阶数。在完成降阶后,根据Newmark-β法推导了计算地震作用下每一时刻结构响应的公式,并将整个算法使用MATLAB编译为程序。通过与已有文献中ABAQUS模拟结果的对比,得出误差在2.9%～8.4%范围内,说明本算法可以提高计算效率,具有较高的精确度。
