Finite element and artificial boundary coupled wave field computation method and system

By dividing the computational domain into an outer infinite domain and an inner finite domain, and utilizing the fast multipole boundary element method and the artificial boundary substructure method, the problems of false reflection in the finite element method and low efficiency in the boundary element method are solved, thus achieving high-precision and efficient seismic analysis of underground structures.

CN122333922APending Publication Date: 2026-07-03CHINA RAILWAY LIUYUAN GRP CO LTD
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Patent Information

Application Number
CN202610805529.3
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2026-06-05
Publication Date
2026-07-03

AI Technical Summary

Technical Problem

In existing technologies, the artificial boundaries of the finite element method are prone to producing false reflections. The boundary element method has low computational efficiency, difficulty in handling material nonlinearity, and difficulty in coupling, resulting in inaccurate and inefficient calculation results for seismic analysis of underground structures.

Method used

The computational domain is divided into an outer infinite domain and an inner finite domain. The outer infinite domain is solved using the fast multipole boundary element method. The wave field data is transformed into equivalent nodal forces on the boundary nodes of the inner finite domain using the artificial boundary substructure method. Nonlinear dynamic response analysis is then performed using the finite element method to ensure that the artificial boundary medium satisfies the linear elastic assumption.

Benefits of technology

It achieves a balance between high precision and high computational efficiency, improves the stability and reliability of seismic dynamic response analysis, and avoids distortion of calculation results and unnecessary expansion of the calculation scale.

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Abstract

This invention proposes a wavefield calculation method and system coupled with finite element method and artificial boundary, relating to the field of seismic resistance technology for underground structures. Addressing the problems of spurious reflections easily generated by artificial boundaries in the finite element method, low computational efficiency of the boundary element method, difficulty in handling material nonlinearities, and coupling difficulties, this invention divides the computational domain into an outer infinite domain and an inner finite domain. The outer infinite domain is solved using the fast multipole boundary element method to obtain wavefield data of the artificial boundary. The wavefield data is then transformed into equivalent nodal forces on the boundary nodes of the inner finite domain using the artificial boundary substructure method. The finite element method is then used to perform nonlinear dynamic response analysis on the inner finite domain under the applied equivalent nodal forces. This overcomes the shortcomings of low computational efficiency and difficulty in handling nonlinearities, while retaining the ability of the finite element method to handle complex nonlinearities. It achieves a balance between high accuracy and high computational efficiency, improving the stability and reliability of seismic dynamic response analysis.
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