An efficient backward Euler time-integration method for nonlinear dynamic analysis of structures

2012 ◽  
Vol 106-107 ◽  
pp. 20-28 ◽  
Author(s):  
Tianyun Liu ◽  
Chongbin Zhao ◽  
Qingbin Li ◽  
Lihong Zhang
Keyword(s):  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Integration Method ◽  
Time Integration ◽  
Nonlinear Dynamic Analysis ◽  
Time Integration Method ◽  
Backward Euler

scholarly journals A Precise and Stiffly Stable Time Integration Method for Dynamic Analysis

2003 ◽  
Vol 46 (2) ◽  
pp. 492-499 ◽  
Author(s):  
Takeshi FUJIKAWA ◽  
Etsujiro IMANISHI ◽  
Takao NANJYO ◽  
Naoki SUGANO
Keyword(s):  
Dynamic Analysis ◽  
Integration Method ◽  
Time Integration ◽  
Time Integration Method

Mixed Time Integration Parallel Algorithm for Nonlinear Dynamic Analysis

2014 ◽  
Vol 580-583 ◽  
pp. 3038-3041
Author(s):  
Chao Jiang Fu
Keyword(s):  
Dynamic Analysis ◽  
Parallel Algorithm ◽  
Nonlinear Dynamic ◽  
Time Integration ◽  
Nonlinear Dynamic Analysis ◽  
Integration Technique ◽  
Explicit Time Integration ◽  
Implicit Algorithm ◽  
Integration Techniques ◽  
Implicit And Explicit

The mixed time integration parallel algorithm for nonlinear dynamic analysis was presented by synthesising the implicit and explicit time integration techniques. The parallel algorithm employing mixed time integration technique was devised with domain decomposition. Concurrency was introduced into this algorithm by integrating interface nodes with explicit time integration technique and solving local subdomains with implicit algorithm. Numerical example was implemented to validate the performance of the parallel algorithm. Numerical studies indicate that the proposed algorithm is superior in performance to the implicit algorithm.

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

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Jinyue Zhang ◽  
Lei Shi ◽  
Tianhao Liu ◽  
De Zhou ◽  
Weibin Wen
Keyword(s):  
Nonlinear Dynamic ◽  
Integration Method ◽  
Seismic Analysis ◽  
Time Integration ◽  
Implicit Time ◽  
Numerical Dissipation ◽  
Dynamic Problems ◽  
Element Analysis ◽  
Time Integration Method ◽  
Period Elongation

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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