| EPSRC Reference: |
GR/R76967/01 |
| Title: |
Periodic Orbits in Sound and Vibration |
| Principal Investigator: |
Wright, Dr MC |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Inst of Sound and Vibration Research |
| Organisation: |
University of Southampton |
| Scheme: |
Advanced Fellowship (Pre-FEC) |
| Starts: |
01 August 2002 |
Ends: |
30 April 2008 |
Value (£): |
250,453
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| EPSRC Research Topic Classifications: |
| Acoustics |
Eng. Dynamics & Tribology |
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| EPSRC Industrial Sector Classifications: |
| Aerospace, Defence and Marine |
Transport Systems and Vehicles |
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| Related Grants: |
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| Panel History: |
| Panel Date | Panel Name | Outcome |
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23 Nov 2001
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Engineering Fellowships Panel (2002)
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Deferred
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Summary on Grant Application Form |
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This research programme aims to apply techniques from the semiclassical theory of quantum physics to problems in sound and vibration which relate vibrations to the chaoticity of ray paths in a resonator. Recent results show that just a few short periodic orbits control many mode shapes. These tools will provide hitherto unavailable information, both qualitative and quantitative about the relationship between the shape of a resonating system and its modal structure, which is valid for realistic shapes, not just idealised ones.The implications for sound and vibration are tremendous. Structural optimisation to prevent vibration transmission in a frequency band, is computationally intensive. If that effort could be directed at the few short orbits that control the modes in that band, in such a way as to ensure that the excitation and reception points were antinodes of the structure the increase in efficiency would be immense and would bring a whole new range of problems within the scope of this technique.Semiclassical theory also provides statistical information about modeshapes (the Quantum Ergodic Hypothesis), which suggests that so-called scarred modes will dominate the directivity of the sound radiated from a vibrating plate or shell. Understanding of this relationship will enable the design of quiet structures.
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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.soton.ac.uk |