Professor Brian Mace (Department of Mechanical Engineering University of Auckland, New Zealand)

Waves and finite elements
When Aug 09, 2017
from 02:00 PM to 03:00 PM
Where LR8
Contact Name
Contact Phone 01865-273030
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Wave methods are particularly appealing at higher frequencies, when the size of the structure, or component substructure, is large compared to the wavelength. They require knowledge of the characteristics of wave propagation, reflection and transmission. Determining these is not difficult for simple cases such as isotropic beams and plates, but for more complex structures – e.g. composites, laminates, cylinders, tyres – analysis becomes difficult at best and a numerical approach is valuable.

 

The WFE method involves conventional finite element (FE) analysis of just a small segment of the structure, using conventional methods and commercial codes, followed by application of periodic structure theory. The method is overviewed, a hybrid FE/WFE method for the analysis of reflection and transmission at joints or boundaries of arbitrary complexity described, and some recent developments outlined. Applications are presented, including laminated fibre-reinforced panels, fluid-filled cylinders, a tyre, an extruded truss-cored aluminium panel and sound transmission. The WFE approach allows predictions to be made over a wide frequency range at a very small computational cost.