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A Robust and Efficient Composite Time Integration Algorithm for Nonlinear Structural Dynamic Analysis
Joint Authors
Zhang, Lihong
Liu, Tianyun
Li, Qingbin
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper presents a new robust and efficient time integration algorithm suitable for various complex nonlinear structural dynamic finite element problems.
Based on the idea of composition, the three-point backward difference formula and a generalized central difference formula are combined to constitute the implicit algorithm.
Theoretical analysis indicates that the composite algorithm is a single-solver algorithm with satisfactory accuracy, unconditional stability, and second-order convergence rate.
Moreover, without any additional parameters, the composite algorithm maintains a symmetric effective stiffness matrix and the computational cost is the same as that of the trapezoidal rule.
And more merits of the proposed algorithm are revealed through several representative finite element examples by comparing with analytical solutions or solutions provided by other numerical techniques.
Results show that not only the linear stiff problem but also the nonlinear problems involving nonlinearities of geometry, contact, and material can be solved efficiently and successfully by this composite algorithm.
Thus the prospect of its implementation in existing finite element codes can be foreseen.
American Psychological Association (APA)
Zhang, Lihong& Liu, Tianyun& Li, Qingbin. 2015. A Robust and Efficient Composite Time Integration Algorithm for Nonlinear Structural Dynamic Analysis. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1075022
Modern Language Association (MLA)
Zhang, Lihong…[et al.]. A Robust and Efficient Composite Time Integration Algorithm for Nonlinear Structural Dynamic Analysis. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1075022
American Medical Association (AMA)
Zhang, Lihong& Liu, Tianyun& Li, Qingbin. A Robust and Efficient Composite Time Integration Algorithm for Nonlinear Structural Dynamic Analysis. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1075022
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075022