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Discussion of Paper 'Improved Explicit Integration Algorithms for Structural Dynamic Analysis with Unconditional Stability and Controllable Numerical Dissipation' by Chinmoy Kolay & James M. Ricles, Journal of Earthquake Engineering 2017, http://www.tandfonline.com/loi/ueqe20
- Source :
- Journal of Earthquake Engineering; Dec 2021, Vol. 25 Issue 14, p2993-3000, 8p
- Publication Year :
- 2021
-
Abstract
- Although it was claimed that the MKR-α method can improve the overshoot and nonlinear stability characteristics of the KR-α method, it seems that it still has a high frequency overshoot in steady-state responses and a weak instability. Three examples are applied to numerically illustrate the two adverse properties. A loading-correction term is introduced into the displacement difference equation to remove the adverse overshoot in high frequency steady-state responses. Besides, it is analytically verified that the MKR-α method has an adverse weak instability. Although the problem of high frequency overshoot in steady-state responses can be overcome, there is no way to eliminate the adverse weak instability for both the KR-α method and MKR-α method. Thus, the applications of the two families of integration methods are very limited. It is demonstrated that a high frequency numerical damping is incapable of mitigating the overshoot caused by a weak instability. [ABSTRACT FROM AUTHOR]
- Subjects :
- EARTHQUAKE engineering
STEADY-state responses
DIFFERENCE equations
ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 13632469
- Volume :
- 25
- Issue :
- 14
- Database :
- Complementary Index
- Journal :
- Journal of Earthquake Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 153533334
- Full Text :
- https://doi.org/10.1080/13632469.2019.1662345