Research
The purpose of this research is to develop a set of methods and techniques
for the analysis of real-life dynamical systems. The quantities feasible
to measure and the parameters available for adjustment in physical or
engineering systems are usually not the most desirable or the easier to
access. Therefore there is a need for development of techniques that enable
us to analyse dynamical systems from remote measurements. Remote
suggests a feature of a system's behaviour which is not part of the actual
dynamics. An example of such a remote measurement is a time series obtained
by recording the times at which a vibro-impacting oscillator meets a movement
constraint. This is opposed to a direct measurement which could
be an amplitude recording of the oscillator's displacement.
The experimental setup used to obtain measurements of such kind is a
beam, performing vibro-impacting motion when forced with frequencies within
a certain range. Impacts occur because the beam meets a stop when the
amplitude of the oscillation becomes large enough. The remote observations
used in the analysis are recordings of the strain exerted at the impact
stop, when the beam is in contact with it. Reconstruction of the dynamics
is attempted through its interspike intervals i.e. the time elapsed
from one impact to another. (For details see publications below).
The emphasis of this research is in the development of methods that provide
an insight into a system's behaviour from a wide range of remote observations.
These observations could possibly assist in deriving other quantities,
without direct measurement.
Publications
- Wagg, D.J., Karpodinis, G. & Bishop, S.R. (1998). An experimental
study of the impulse response of a vibro-impacting cantilever beam.
Journal of Sound and Vibration, 228(2), 243-264.
- Karpodinis, G. & Bishop, S.R. (1998). Sensitivity to noise of interspike
intervals produced by an impacting vibrating beam. Accepted and due to appear in
International Journal of Mechanical Sciences.
- Karpodinis, G. & Bishop, S.R. (1999). Analysis of an impacting
oscillator from sound recordings of its impacts. Submitted to
Meccanica.
Studies
1996 - present
PhD in Nonlinear Dynamics.
University College London, Gower Street, London WC1E 6BT
Thesis title : The dynamic response of an impacting driven beam:
experiments and mathematical model.
1995 - 1996
MSc in Nonlinear Dynamics and Chaos.
University College London, Gower Street, London WC1E 6BT
Optional Subjects : time series analysis, further theory of dynamical
systems, advanced theory of neural networks, game theory.
Dissertation Topic : Control of chaos.
1992 - 1995
BEng with Honours in Civil Engineering.
City University, Northampton Square, London EC1V 0HB
Final year project : Finite elements analysis of earth retaining
structures.
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