4.3 Article

Performance of a Three-Substep Time Integration Method on Structural Nonlinear Seismic Analysis

Journal

MATHEMATICAL PROBLEMS IN ENGINEERING
Volume 2021, Issue -, Pages -

Publisher

HINDAWI LTD
DOI: 10.1155/2021/6442260

Keywords

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Funding

  1. National Natural Science Foundation of China [12072375]

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This work examines the application of the Wen method, a three substeps' implicit time integration method, in nonlinear finite element analysis. The analysis shows that the Wen method performs well in numerical dissipation, amplitude decay, and period elongation. Theoretical analysis and numerical simulations suggest that the Wen method is accurate and efficient for solving nonlinear dynamic problems.
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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