A New Family of Explicit Time Integration Algorithms with Controllable Accuracy for Structural Dynamics
- 10.2991/icmmse-17.2017.40How to use a DOI?
- Structural Dynamics, Explicit Time Integration Algorithm, Controllable Accuracy, Algorithm Design
A new family of explicit time integration algorithms with controllable accuracy for structural dynamics are proposed in this paper based on discrete control theory. Firstly, the transfer function of the new algorithms with integration coefficients are obtained by Z transform, then the coefficient expressions of the new algorithms are derived according to the poles condition. The theoretical analyses about the stability and accuracy indicate that the new algorithms possess the properties of second-order accuracy, zero amplitude decaying, moreover, the period elongation can be controlled by parameter , which can adjust the accuracy of the new algorithms. When is less than or equal to 4, the algorithm are unconditionally stable for the linear system
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Xiaoqiong Du AU - Yongliang Zhao AU - Xiaoliang Yan PY - 2017/04 DA - 2017/04 TI - A New Family of Explicit Time Integration Algorithms with Controllable Accuracy for Structural Dynamics BT - Proceedings of the Second International Conference on Mechanics, Materials and Structural Engineering (ICMMSE 2017) PB - Atlantis Press SP - 253 EP - 258 SN - 2352-5401 UR - https://doi.org/10.2991/icmmse-17.2017.40 DO - 10.2991/icmmse-17.2017.40 ID - Du2017/04 ER -