CAJ | 학술논문

采用薄层法算出群桩基础的频域阻抗，将群桩阻抗等效于一个单输入单输出系统，并表示为一个复数的频域传递函数。基于矢量匹配法（VF法），通过对传递函数拟合得到任意分层地基的群桩阻抗函数的集总参数形式。采用VF法对整体频域拟合，可以得到多项分式分式阻抗形式，进而扩展成为 Wu-Lee 模型。结果表明，VF 法拟合得到的动力柔度函数可以精确地匹配分层地基动力柔度函数，由于多项分式的形式可以直接扩展成为Wu-Lee集总参数模型，且数值稳定。对于高频阻抗拟合需要采用高阶数，进行劳斯（Routh）降阶，得到较好的效果。
채용박층법산출군장기출적빈역조항，장군장조항등효우일개단수입단수출계통，병표시위일개복수적빈역전체함수。기우시량필배법（VF법），통과대전체함수의합득도임의분층지기적군장조항함수적집총삼수형식。채용VF법대정체빈역의합，가이득도다항분식분식조항형식，진이확전성위 Wu-Lee 모형。결과표명，VF 법의합득도적동력유도함수가이정학지필배분층지기동력유도함수，유우다항분식적형식가이직접확전성위Wu-Lee집총삼수모형，차수치은정。대우고빈조항의합수요채용고계수，진행로사（Routh）강계，득도교호적효과。
The dynamic impedance of pile groups in the frequency domain is computed by thin layer method. It is represented by the complex transfer function in the frequency domain as single input and single output system. The fitting of complex transfer function is proposed through the vector fitting method (VF method), so as to obtain the lumped-parameter model for pile groups in layered ground. The dynamic impedance of partial-fraction expansion type can be obtained by VF method;it fits over the whole frequency range, which is easily converted to the Wu-Lee model. It is shown that the lumped-parameter model by the VF method is accurately to match the dynamic impedance of pile groups in layered ground. Due to its partial-fraction expansion type,the expression can be conveniently transferred into the Wu-Lee model;and the fitting is numerically stable. The number of terms for the partial-fraction expansion is big when the dynamic impedance for the high frequency is needed to fit. The reduced order method called the Routh method is introduced to make the order reduced, and it is shown the result for the reduction is good.