| EPSRC Reference: |
GR/S35684/01 |
| Title: |
Pseudospectra; Uncertainty; Vulerability and Bifurcation in Strutural Mechanics |
| Principal Investigator: |
Champneys, Professor AR |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Engineering Mathematics |
| Organisation: |
University of Bristol |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 January 2004 |
Ends: |
31 December 2006 |
Value (£): |
198,226
|
| EPSRC Research Topic Classifications: |
| Eng. Dynamics & Tribology |
Numerical Analysis |
|
| EPSRC Industrial Sector Classifications: |
| Construction |
No relevance to Underpinning Sectors |
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The structrual mechanics research community is a big user of linear algebra, and is firmly wedded to the concept of eigenmodes. However, recently range of problems have been identified at Bristol for which this purely normal-mode based approach fails, either due to the fact that the system matt are non-normal, or because there are no failure modes, but one is interested in how large a perturbation must be added to make certain dangerous modes occur. The former problems arise in rotating and aeroelastic systrems where dynamic failure of aircraft in flight can be highly costly both due high maintenance costs, and to the cost of designing against such instabilities. The latter arises in the novel approach adopted at Bristol to modelling structural integrity in buildings or large structures, which involves questions like, where can the smallest amount of damage (perturbation to the stiffr matrix) cause the maximum failure. Also in engineering uncertainty analysis studying the pseudospectra of defective systems is vital to understand potential computational problems for systems with clustered eigenvalues, when the eigenvector matrix may become ill-conditioned. All of these prob are to be addressed mathematically using the ideas of the pseudospectrum of the matrices in question for which a range of computationally viable numerical methods have recently been developed.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.bris.ac.uk |