A New Family of Explicit Time Integration Algorithms with Controllable Accuracy for Structural Dynamics

DOI

10.2991/icmmse-17.2017.40How to use a DOI?

Keywords

Structural Dynamics, Explicit Time Integration Algorithm, Controllable Accuracy, Algorithm Design

Abstract

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

Copyright

© 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/).

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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  -