Proceedings of the 6th International Workshop of Advanced Manufacturing and Automation

Time Integration Schemes in Dynamic Problems- Effect of Damping on Numerical Stability and Accuracy

Authors
Ashish Aeran, Hirpa G. Lemu
Corresponding Author
Ashish Aeran
Available Online November 2016.
DOI
https://doi.org/10.2991/iwama-16.2016.40How to use a DOI?
Keywords
structural dynamics; integration schemes; damping; stability; accuracy
Abstract
A great deal of progress has been made in the past several decades towards the understanding and development of time integration methods in structural dynamics. These methods involves a step by step algorithm for transient analysis of linear and non-linear dynamic problems. It is essential to provide a comprehensive survey of various methodologies used to solve second order differential equations in a single article. Broadly, the methods include direct integration, mode superposition and response spectrum methods among others. The first two methods uses an integration scheme while response spectrum method is based on extreme response analysis. Both direct integration and mode superposition method use an integration scheme but the selection of a particular method depends on the problem and frequency content of the loading. A detailed survey of various integration schemes is presented in this paper. The stability and accuracy of these integration schemes has been studied by researches in the past. However, the effect of damping on the stability and accuracy of these schemes need to be investigated. A single degree of freedom system is used to check the stability and accuracy criteria of various integration schemes. Also, the effect of damping on these parameters is studied and results are presented.
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Proceedings
6th International Workshop of Advanced Manufacturing and Automation
Part of series
Advances in Economics, Business and Management Research
Publication Date
November 2016
ISBN
978-94-6252-243-5
ISSN
2352-5428
DOI
https://doi.org/10.2991/iwama-16.2016.40How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Ashish Aeran
AU  - Hirpa G. Lemu
PY  - 2016/11
DA  - 2016/11
TI  - Time Integration Schemes in Dynamic Problems- Effect of Damping on Numerical Stability and Accuracy
BT  - 6th International Workshop of Advanced Manufacturing and Automation
PB  - Atlantis Press
SP  - 213
EP  - 220
SN  - 2352-5428
UR  - https://doi.org/10.2991/iwama-16.2016.40
DO  - https://doi.org/10.2991/iwama-16.2016.40
ID  - Aeran2016/11
ER  -