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Performance of a Three-Substep Time Integration Method on Structural Nonlinear Seismic Analysis
Author(s) -
Jinyue Zhang,
Lei Shi,
Tianhao Liu,
De Jian Zhou,
Weibin Wen
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/6442260
Subject(s) - nonlinear system , finite element method , dissipation , property (philosophy) , numerical analysis , response analysis , mathematics , computer science , numerical integration , control theory (sociology) , mathematical analysis , structural engineering , engineering , physics , artificial intelligence , thermodynamics , philosophy , control (management) , epistemology , quantum mechanics
In this work, a study of a three substeps’ implicit time integration method called the Wen method for nonlinear finite element analysis is conducted. The calculation procedure of the Wen method for nonlinear analysis is proposed. The basic algorithmic property analysis shows that the Wen method has good performance on numerical dissipation, amplitude decay, and period elongation. Three nonlinear dynamic problems are analyzed by the Wen method and other competitive methods. The result comparison indicates that the Wen method is feasible and efficient in the calculation of nonlinear dynamic problems. Theoretical analysis and numerical simulation illustrate that the Wen method has desirable solution accuracy and can be a good candidate for nonlinear dynamic problems.

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