| EPSRC Reference: |
EP/H021302/1 |
| Title: |
High-frequency long-wave behaviour in elastic waveguides with arbitrary cross-section |
| Principal Investigator: |
Nolde, Dr E |
| Other Investigators: |
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| Department: |
Information Systems Computing and Maths |
| Organisation: |
Brunel University London |
| Scheme: |
Mathematical Sciences Small Gr |
| Starts: |
14 December 2009 |
Ends: |
13 December 2010 |
Value (£): |
16,128
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Within this proposal we are planning to develop a general methodology to analyze the high-frequency long-wave behaviour of waveguides with arbitrary cross-section. In particular, we formulate a hybrid procedure starting from a long-wave perturbation of the numerical solution of the eigenvalue problems on cross-section for the equations in plane and antiplane elasticity. Two types of cross-sections are studied analytically, including an elliptic and rectangular one. The derived low-dimensional equations will be applied to the analysis of trapped modes in waveguides with shape imperfections. The project is inspired by the theory and practice of non-destructive evaluation and also has potential applications in the optimal design of advanced structures. It generalizes previous considerations of the co-authors and the visiting fellow in the area of longwavelength asymptotics and elastic trapped modes.
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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.brunel.ac.uk |