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Transient analysis of three‐dimensional dynamic interaction between multilayered soil and rigid foundation
Author(s) -
Han Zejun,
Yang Linqing,
Fang Hongyuan,
Zhang Jin
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6439
Subject(s) - stiffness matrix , finite element method , transient (computer programming) , direct stiffness method , displacement (psychology) , stiffness , vibration , boundary (topology) , time domain , frequency domain , dynamic problem , matrix (chemical analysis) , response analysis , structural engineering , mathematical analysis , mathematics , computer science , engineering , algorithm , materials science , physics , acoustics , psychology , computer vision , composite material , psychotherapist , operating system
Abstract The study of dynamic soil‐structure interaction is significant to civil engineering applications, such as machine foundation vibration, traffic‐induced vibration, and seismic dynamic response. The scaled boundary finite element method (SBFEM) is a semi‐analytical algorithm, which is used to solve the dynamic response of a three‐dimensional infinite soil. It can automatically satisfy the radiation boundary condition at infinity. Based on the dynamic stiffness matrix equation obtained by the modified SBFEM, a continued fraction algorithm is proposed to solve the dynamic stiffness matrix of layered soil in the frequency‐domain. Then, the SBFEM was coupled with the finite element method (FEM) at the interface to solve the dynamic stiffness matrices of the rigid surface/buried foundation. Finally, the mixed‐variable algorithm was used to solve the three‐dimensional transient dynamic response of the foundation in the time domain. Numerical examples were performed to verify the accuracy of the proposed algorithm in solving the dynamic stiffness matrix of the infinite domain in the frequency domain and the dynamic transient displacement response of the foundation in the time domain. Compared with the previous numerical integration technique, the dynamic stiffness matrix in the frequency domain calculated by using the proposed algorithm has higher accuracy and higher efficiency.