Seminar 26th May 2011 noon University of Southampton, Building 28 (Froude) Room 2001
Waves and Finite Elements
Professor Brian Mace
University of Southampton, Institute of Sound and Vibration Research
- Web page
- http://www.soton.ac.uk/ses/research/groups/fsi.page?
- Categories
- Complex Systems, Wave propagation
- Submitter
- Petrina Butler
Professor Brian Mace presents at the FSI Seminar
Fluid Structure Interactions Group Seminar
http://www.soton.ac.uk/ses/research/groups/fsi.page?
We are pleased to announce that Professor Brian Mace, Head of the Structural Dynamics Research Group of the Institute of Sound and Vibration Research (ISVR) will be presenting for us.
His talk will concern structural vibration.
Please see the abstract below.
Time: 12:00 - 13:00, Thursday 26th May
Place: 28/2001 (Seminar Room, Froude Building)
Tea and biscuits will be provided.
Abstract
Vibrations can be described in terms of waves propagating through a structure. This interpretation is particularly appealing at higher frequencies, when the size of the structure is large compared to the wavelength. Typical applications include free and forced vibration analysis, vibration and acoustic transmission, statistical energy analysis and shock response.
Determining the characteristics of wave propagation - wavenumber, group velocity, reflection and transmission coefficients, etc - is not difficult for simple cases such as isotropic beams and plates. For more complex structure - composites, laminates, cylinders, tyres - analysis becomes difficult and a numerical approach is valuable.
In this talk a wave finite element (WFE) method for the analysis of the wave behaviour of uniform 1- and 2-dimensional structures is described. The WFE method involves conventional finite element (FE) analysis of just a small segment of the structure, using conventional FE methods and commercial codes, followed by application of periodic structure theory. This results in an eigenproblem, the solutions to which yield wavenumbers etc. The forced response can be determined from these eigensolutions.
The WFE approach for 1- and 2-dimensional structures is briefly outlined. Applications are presented. These include laminated fibre-reinforced panels, fluid-filled cylinders, a tyre and the cochlea. The WFE approach allows predictions to be made over a wide frequency range at a very small computational cost.