Seminar 11th July 2011 2 p.m. University of Southampton, Building 13 (Tizard) Room 3017
Wave localization in elastic structures and solids
Professor Dmitry A. Indeitsev and Professor Andrey K. Abramyan
Institute for Problems of Mechanical Engineering, Russian Academy of Sciences
- Categories
- Acoustics, Structural dynamics, Wave propagation
- Submitter
- Petrina Butler
Speakers
Professor Dmitry A. Indeitsev and
Professor Andrey K. Abramyan
Institute for Problems of Mechanical Engineering,
Russian Academy of Sciences, St.Petersburg, Russia
Abstract
Wave localization in discrete-continuous structures with inhomogeneities is a well-known phenomenon in physics. For example, the formation of a bounded state, or the formation of a standing wave at a particular frequency, in a crystalline lattice is used in acoustic diagnostics. The high level of vibrations in the regions of the structure’s inhomogeneities may lead to fatigue of the structure or to sound radiation. From the mathematical point of view, the linear wave localization process is connected with the problem of the existence of the mixture spectrum of the considered system (discrete plus continuous spectrum). It is the trapped modes problem. Examples of the solutions of the wave localization problems for different structures and solids with the inhomogeneities will be presented. Special attention will be paid to non-stationary problems.