Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Gowdridge, Tristan"'
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 in temperature, and this will serve as the main focal point of this wo
Externí odkaz:
http://arxiv.org/abs/2212.11727
Topological methods are very rarely used in structural health monitoring (SHM), or indeed in structural dynamics generally, especially when considering the structure and topology of observed data. Topological methods can provide a way of proposing ne
Externí odkaz:
http://arxiv.org/abs/2209.05484
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 persistent homology; this is a means of measuring the shape of data, from th
Externí odkaz:
http://arxiv.org/abs/2209.06155
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 stiffness requires the use of elliptic functions in the exact solution
Externí odkaz:
http://arxiv.org/abs/2209.05169
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 of data, via a topic called topological data analysis will be introduce
Externí odkaz:
http://arxiv.org/abs/2209.05134