| EPSRC Reference: |
GR/S31693/01 |
| Title: |
Model Compaction and Model Reduction Methods for Large-Scale Dynamic Systems in Engineering |
| Principal Investigator: |
Tisseur, Professor F |
| Other Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
University of Manchester, The |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 2003 |
Ends: |
30 September 2006 |
Value (£): |
128,687
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| EPSRC Research Topic Classifications: |
| Eng. Dynamics & Tribology |
Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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This project addresses the analysis of dynamic systems arising in engineering and characterized by second order matrix ODEs of large dimensions. The project will develop and apply some fundamental mathematical principles based on the concept of structure preserving transformations in order to produce algorithms which can transform an initial model which is huge (in terms of computational and memory requirements) into a new form which is amenable to computation using finite resources. Such models arise naturally in many different areas of engineering including: structural-vibration, acoustics, electromagnetics, surface wavemotion, circuit theory and control theory. The methods emerging will be applicable to the model-reduction and model-compaction of second-order systems. They will outperform existing alternatives both in computational effort and in numerical accuracy because the system representation will always comprise the three matrices of a second order system. In the case of model reduction, lower errors can be expected for the same degree of reduction in dimension. The advantages will be especially noticeable in cases where either the mass matrix is singular and/or where the system damping is very significantly non-classical . Such cases are now common and they cause considerable problems for the conventional algorithms.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.man.ac.uk |