基于相似性导出基础的动力刚度矩阵

Dynamic stiffness matrix based on similarity

详细论述了基于相似性导出基础动力刚度矩阵的思想，包括克隆算法、无限元方法、一致无穷小有限元法和标度有限元法。这些方法，仅对地基－基础界面进行有限元离散，使问题的空间维数减少一维；但是，它们不需要基本解就可以满足无穷远辐射条件，从而避免了奇异积分的计算，减少了计算工作量。

Methods of obtaining foundation dynamic stiffness matrix based on similarity, including cloning algorithm, consistent infinitesimal finite e1ement cel1 method and scaled boundary finite ele- ment method, are illustrated in detail in this paper. Only the subsoil-foundation boundary is discretized, the same as boundary element method, which reduces the spatial dimension by one. But no fundamental solution is required, which permits genera1 anisotropic material to be addressed, eliminates singu1ar integra1s and satisfies the radiation condition at infinity exactly.