Challenges of modelling hybrid testing for spatially extended systems
Lead Research Organisation:
University of Bristol
Department Name: Engineering Mathematics and Technology
Abstract
Real-time dynamic substructuring is a new component testing method for simulating the dynamics of complex engineering systems. The physical component is tested in a computer generated 'virtual' environment using real time control techniques. Delays in communication which occur between the component and the virtual environment can potentially destabilise the simulation. The proposed research addresses a range of questions arising due to the presence of time delay for spatially extended systems. Formulating the problem using partial delay differential equations the effects of time delay on the stability in such systems will be studied. Furthermore, the important question of experimental accuracy will be analysed by means of synchronisation theory. This proposal is also intended to investigate the robustness of synchronisation due to external noise. The results of this work will be of a great significance for the theory of partial delay differential equations and open new avenues of research in the applications of this theory in engineering.
Organisations
People |
ORCID iD |
Yuliya Kyrychko (Principal Investigator) |
Publications
Blyuss K
(2008)
Control of unstable steady states in neutral time-delayed systems
in The European Physical Journal B
Blyuss KB
(2010)
Stability and bifurcations in an epidemic model with varying immunity period.
in Bulletin of mathematical biology
Kyrychko Y
(2009)
Asymptotic properties of the spectrum of neutral delay differential equations
in Dynamical Systems
Kyrychko Y
(2017)
On the Use of Delay Equations in Engineering Applications
in Journal of Vibration and Control
Kyrychko Y
(2009)
Persistence of travelling waves in a generalized Fisher equation
in Physics Letters A
Kyrychko YN
(2009)
Control of spatiotemporal patterns in the Gray-Scott model.
in Chaos (Woodbury, N.Y.)