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A Modified Precise Integration Method for Long-Time Duration Dynamic Analysis
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-14
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper presents a modified Precise Integration Method (PIM) for long-time duration dynamic analysis.
The fundamental solution and loading operator matrices in the first time substep are numerically computed employing a known unconditionally stable method (referred to as original method in this paper).
By using efficient recursive algorithms to evaluate these matrices in the first time-step, the same numerical results as those using the original method with small time-step are obtained.
The proposed method avoids the need of matrix inversion and numerical quadrature formulae, while the particular solution obtained has the same accuracy as that of the homogeneous solution.
Through setting a proper value of the time substep, satisfactory accuracy and numerical dissipation can be achieved.
American Psychological Association (APA)
Huang, Ce& Fu, Minghui. 2018. A Modified Precise Integration Method for Long-Time Duration Dynamic Analysis. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1209750
Modern Language Association (MLA)
Huang, Ce& Fu, Minghui. A Modified Precise Integration Method for Long-Time Duration Dynamic Analysis. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1209750
American Medical Association (AMA)
Huang, Ce& Fu, Minghui. A Modified Precise Integration Method for Long-Time Duration Dynamic Analysis. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1209750
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209750