Abstract：This paper puts attention on the application of Chebyshev complex polynomials in the development of extensible lumped-parameter model of pile group foundation. The present method is an important extension to the concept of polynomial-fraction approximation in the foundation modeling. In the present analysis, pile group impedance function is obtained based on Thin Layer Method. A ratio of two Chebyshev complex polynomials is adopted to represent the normalized flexibility function of pile group foundation. Through performing partial-fraction expansion on this Chebyshev complex polynomial-fraction, Chebyshev complex polynomial-fraction is designed two basic discrete-element models. The accuracy and validity of the lumped-parameter model is extensively investigated for the case of pile group foundation. The proposed method may be easily applied to analyze various practical problems in soil-structure interaction in time domain and nonlinear analysis
刘伟庆;王海;王曙光;杜东升;李威威.
群桩基础阻抗函数的集总参数模型研究
[J]. , 2011, 30(11): 249-253,.
Liu Wei-qing;Wang Hai;Wang Shu-guang;Du Dong-sheng;Li Wei-wei. Study on lumped-parameter model of pile group impedance function. , 2011, 30(11): 249-253,.
2011, Vol. 30 
