2 citations · 2 across the 5 of their papers we have counts for
5 papers
A topological analysis of cointegrated data: a Z24 Bridge case study
Tristan Gowdridge, Elizabeth Cross, Nikolaos Dervilis +1
The paper studies the topological changes from before and after cointegration, for the natural frequencies of the Z24 Bridge. The second natural frequency is known to be nonlinear…
On topological data analysis for SHM; an introduction to persistent homology
Tristan Gowdridge, Nikolaos Devilis, Keith Worden
This paper aims to discuss a method of quantifying the 'shape' of data, via a methodology called topological data analysis. The main tool within topological data analysis is persis…
On the application of topological data analysis: a Z24 Bridge case study
Tristan Gowdridge, Nikolaos Dervilis, Keith Worden
Topological methods are very rarely used in structural health monitoring (SHM), or indeed in structural dynamics generally, especially when considering the structure and topology o…
On the application of the generating series for nonlinear systems with polynomial stiffness
Tristan Gowdridge, Nikolaos Dervilis, Keith Worden
Analytical solutions to nonlinear differential equations -- where they exist at all -- can often be very difficult to find. For example, Duffing's equation for a system with cubic…
On topological data analysis for structural dynamics: an introduction to persistent homology
Tristan Gowdridge, Nikolaos Dervilis, Keith Worden
Topological methods can provide a way of proposing new metrics and methods of scrutinising data, that otherwise may be overlooked. In this work, a method of quantifying the shape o…