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 |
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 |
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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Potential use in non-academic contexts |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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 |
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 |