Abstract
A novel family of explicit method is presented. Unlike conventional integration methods, the coefficients of the two difference equations are no longer constant but functions of the initial structural properties of the system analyzed and the size of integration time step. The most important properties of the proposed family method are the second-order accuracy, the possibility of unconditional stability and the explicitness of each time step. The possibility of unconditional stability in addition to the second-order accuracy will allow using a large time step for conducting the step-by-step integration; and the explicitness of each time step involves no iterative procedure. As a result, many computational efforts can be saved when compared to currently available integration methods.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the World Congress on Engineering 2012, WCE 2012 |
| Editors | A. M. Korsunsky, Len Gelman, Andrew Hunter, S. I. Ao, David WL Hukins |
| Publisher | Newswood Limited |
| Pages | 1669-1674 |
| Number of pages | 6 |
| ISBN (Print) | 9789881925220 |
| State | Published - 2012 |
| Event | 2012 World Congress on Engineering, WCE 2012 - London, United Kingdom Duration: 4 Jul 2012 → 6 Jul 2012 |
Publication series
| Name | Lecture Notes in Engineering and Computer Science |
|---|---|
| Volume | 3 |
| ISSN (Print) | 2078-0958 |
Conference
| Conference | 2012 World Congress on Engineering, WCE 2012 |
|---|---|
| Country/Territory | United Kingdom |
| City | London |
| Period | 4/07/12 → 6/07/12 |
Bibliographical note
Publisher Copyright:© 2012 Newswood Limited. All rights reserved.
Keywords
- Accuracy
- Explicit method
- Nonlinear systems
- Stability
- Step-by-step integration
- Structural dynamics
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