| EPSRC Reference: |
GR/K88392/01 |
| Title: |
THEORY AND CONTROL OF IMPACT OSCILLATORS |
| Principal Investigator: |
Chillingworth, Dr D |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
School of Mathematics |
| Organisation: |
University of Southampton |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 1997 |
Ends: |
30 September 2000 |
Value (£): |
39,258
|
| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
|
|
| EPSRC Industrial Sector Classifications: |
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
Complicated dynamics of a simple forced (linear of nonlinear) oscillator rebounding from a fixed obstacle can be modelled by a discontinuous discrete dynamical system. The important discontinuity locus can be viewed as the apparent outline of a certain hypersurface in phase space. Using methods of singularity theory and bifurcation theory we shall study this outline as obstacle position and forcing frequency are varied, and investigate resulting influences on the dynamics of the system.At the same time we shall aim to reconcile the mathematical predictions with simulations and experimental results for a range of dynamical systems, with the purpose of offering practical design guides for reducing impacting (wear) by passive or active means for beam-like structures.
|
|
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.soton.ac.uk |