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IBEM for Impedance Functions of an Embedded Strip Foundation in a Multi-Layered Transversely Isotropic Half-Space

机译:多层横观各向同性半空间中嵌入式条形基础的阻抗函数的IBEM

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摘要

An indirect boundary element method (IBEM) is developed to study the dynamic impedance functions (stiffness coefficients) of a rigid strip foundation embedded in a multi-layered viscoelastic transversely isotropic (TI) half-space. The proposed IBEM using half-space Green's functions of distributed loads as fundamental solutions have the merits of fictitious loads being directly applied on the real boundaries without the problem of singularity and of the discretization effort restricted to local boundaries. In addition, the accuracy of the proposed method is not affected by the thickness of the discrete TI layers, as the exact dynamic stiffness matrix is employed. The presented algorithm is verified via comparisons with published results for the isotropic medium. By taking a rigid strip foundation embedded in a homogeneous half-space, a single-layered half-space, and a multi-layered half-space as examples, the effects of material anisotropy, frequency of excitation, and soil layer on the impedance functions are studied in detail. Numerical results show that impedance functions for the TI medium can be significantly different from those of the isotropic case. The variation of TI parameters alters the dynamic characteristics of the TI layered site, which in turn alters the dynamic interaction between the soil and foundation. In addition, the soil sedimentary sequence also has a remarkable influence on the impedance functions.
机译:开发了一种间接边界元方法(IBEM),以研究嵌入多层粘弹性横向各向同性(TI)半空间中的刚性条形基础的动态阻抗函数(刚度系数)。提议的IBEM使用分布式载荷的半空间格林函数作为基本解决方案,其优点是可以将虚拟载荷直接应用于真实边界,而不会出现奇异性问题,并且离散化工作仅限于局部边界。此外,由于采用了精确的动态刚度矩阵,因此所提方法的精度不受离散TI层厚度的影响。通过与各向同性介质的公开结果进行比较,验证了所提出的算法。以嵌入均匀半空间,单层半空间和多层半空间中的刚性条形基础为例,材料各向异性,激发频率和土层对阻抗函数的影响详细研究。数值结果表明,TI介质的阻抗函数可能与各向同性情况大不相同。 TI参数的变化会改变TI分层站点的动力特性,进而改变土壤与地基之间的动力相互作用。此外,土壤沉积序列对阻抗函数也有显着影响。

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