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多层地基条带基础动力刚度矩阵的精细积分算法

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Indexed by:期刊论文

Date of Publication:2022-06-29

Journal:力学学报

Affiliation of Author(s):建设工程学部

Volume:44

Issue:3

Page Number:557-567

ISSN No.:0459-1879

Abstract:A precise integration method(PIM) is applied to the evaluation of
   dynamic-stiffness matrix of strip footings on a layered medium.PIM is an
   efficient and accurate numerical method to study the wave motion in
   layered earth strata.Through Fourier transform,the governing equation of
   wave propagation is formulated in the frequency-wavenumber domain as a
   set of ordinary differential equations with two-point boundary value
   conditions,and the Greens functions are solved by PIM.Finally,the
   dynamic-stiffness matrix of rigid strip footing on layered medium is
   converted from frequency-wavenumber domain into frequency-spatial
   domain. The proposed algorithm has the advantages that it avoids the
   exponential overflow generally encountered in the case of transmission
   matrix.In addition,it is versatile and adaptable to various cases of
   footings.It ensures convergence at high-frequency range,while perfect
   accuracy can be achieved.

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