Events
Stability analysis with the Green's function for the Rijke tube and for curve squeal
| Date: | Wednesday 4 November 2009 16:00 - 17:00 |
| Location: | SEMS New Seminar Room, 3rd Floor Engineering Building |
Please note the Seminar this afternoon, and attend if possible. It is in the 'Energy Group' series, but should be of interest to a much wider audience, particularly those working on structures and those mathematically inclined. 'Energy-related' PhDs are expected to attend as part of their general training.
"Stability analysis with the Green's function for the Rijke tube and for curve squeal"
by Maria Heckl, Keele University
"Two forms of acoustic instability will be modelled with a Green's function approach: the Rijke tube and curve squeal. In the Rijke tube, the instability is due to a feedback between the heat release and the acoustic field in a tube. Curve squeal occurs when a train goes round a tight bend and is due to a feedback between friction force and lateral wheel velocity in the wheel-rail contact. In both cases, a resonant interaction is produced by a driving process (heat input, friction), which generates perturbations (acoustic waves, wheel oscillations) in a resonator (air-filled tube, wheel) and a feedback process, which couples these perturbations to the driving mechanism (acoustic waves influencing the heat input, wheel oscillations influencing the friction). The Green's function will be introduced for both physical systems. It will be used to derive an integral equation from which the stability behaviour can be predicted. Some analytical and numerical results will be presented."
