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提出了求解横观各向同性层状地基埋置刚性条带基础动力刚度矩阵的精确算法。算法利用空间变换方法求解得到了横观各向同性层状地基表面或内部任意点的动力位移响应,针对开挖基础求解开挖区域内节点群的动力柔度矩阵,最后利用容积算法求解埋置刚性条带基础动力刚度矩阵。此算法采用精细积分算法求解频率–波数域内层状地基的动力柔度系数,对层状地基的层数和厚度均没有任何限制。此外,算法基于维数较小的矩阵(2×2)运算,数值计算稳定,求解效率较高,数值算例验证了所提算法的精确性及对横观各向同性多层地基的广泛适用性。
An accurate algorithm for solving the dynamic stiffness matrix of rigid strip foundation embedded in transversely isotropic layered soils is proposed. In the algorithm, the dynamic displacement response of any point on the surface of the transversely isotropic layered soil or inside is obtained by using the spatial transformation method. The dynamic compliance matrix of the node group in the excavation area is solved based on the excavation foundation. Finally, Rigid Strip Foundation Dynamic Stiffness Matrix. This algorithm uses the precise integration algorithm to solve the dynamic compliance coefficient of layered soils in the frequency-wavenumber domain, and has no limitation on the number and thickness of layered soils. In addition, the algorithm is based on a matrix with a small dimension (2 × 2). The numerical calculation is stable and the solution efficiency is high. The numerical examples demonstrate the accuracy of the proposed algorithm and its applicability to a wide range of transversely isotropic multilayer foundations Sex.