›› 2014, Vol. 35 ›› Issue (9): 2448-2454.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

An improved model for dynamic impedance of pile groups based on vector fitting-Routh method

ZHAO Hong1, 2, GAO Guang-yun1, 2, JIANG Zhou1, 2   

  1. 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China
  • Received:2013-04-20 Online:2014-09-10 Published:2014-09-16

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Abstract: 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.

Key words: vector fitting method(VF method), pile groups, dynamic impedance, thin layer method, lumped-parameter model

CLC Number: 

  • TU 473
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