An improved implicit time integration algorithm: The generalized composite time integration algorithm

•The algorithm can be applied to nonlinear structural dynamics in a consistent manner.•The algorithm includes one free parameter which controls algorithmic dissipation.•The effective stiffness matrices of the first and second sub-steps become identical in linear analyses.•The algorithm provided impr...

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Bibliographic Details
Published in:Computers & structures Vol. 196; pp. 341 - 354
Main Authors: Kim, Wooram, Choi, Su Yeon
Format: Journal Article
Language:English
Published: New York Elsevier Ltd 01.02.2018
Elsevier BV
Subjects:
Accuracy
Algorithms
Bathe method
Composite time integration
Linear and non-linear structural dynamics
Mathematical analysis
Matrix
Matrix methods
Nonlinear analysis
Optimization
Parameters
Step-by-step implicit time integration method
Stiffness matrix
Time finite element method
Time integration
Weighted residual method
Linear and non-linear structural dynamics
Composite time integration
Bathe method
Time finite element method
Step-by-step implicit time integration method
Weighted residual method
ISSN:0045-7949, 1879-2243
Online Access:Get full text
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Summary:•The algorithm can be applied to nonlinear structural dynamics in a consistent manner.•The algorithm includes one free parameter which controls algorithmic dissipation.•The effective stiffness matrices of the first and second sub-steps become identical in linear analyses.•The algorithm provided improved solutions compared with those obtained from the Bathe method. The weighted residual method is employed to develop one- and two-step time integration schemes. Newly developed time integration schemes are combined to obtain a new second-order accurate implicit time integration algorithm whose computational structure is similar to the Bathe method (Bathe and Noh, 2012). The newly developed algorithm can control algorithmic dissipation in the high frequency limit through the optimized weighting parameters. It contains only one free parameter, and always provides an identical effective stiffness matrix to the first and second sub-steps in linear analyses, which is not provided in the algorithm proposed by Kim and Reddy (2016). Various nonlinear test problems are used to investigate performance of the new algorithm in nonlinear analyses.
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ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2017.10.002