Damage analysis and detection under varying environmental and operational conditions using a chaos theory methods
Date
2017-09-08
Journal Title
Journal ISSN
Volume Title
Publisher
Lviv Politechnic Publishing House
Abstract
The paper is devoted to problem of analysis,
identification and prediction of the presence of damages,
which above a certain level may present a serious threat to
the engineering (vibrating) structures such as different
technical systems (hydrotechnical equipment, hydroelectrical
station engines, atomic reactors ones etc). Usually
change of structural dynamic properties due to
environmental, operational and other effects allows to
determine the existence, location and size of damages. We
present and apply an effective computational approach to
modelling, analysis of chaotic behaviour of structural
dynamic properties of the engineering structures. The
approach includes a combined group of non-linear analysis
and chaos theory methods such as a correlation integral
approach, average mutual information, surrogate data, false
nearest neighbours algorithms, the Lyapunov’s exponents
and Kolmogorov entropy analysis, nonlinear prediction
models etc. As illustration we present the results of the
numerical investigation of a chaotic elements in dynamical
parameter time series for the experimental cantilever beam
(environmental conditions are imitated by damaged
structure, variating temperature, availability of a pinknoise
force). For the first time we list the numerical data on
topological and dynamical invariants, i.e., correlation,
embedding, Kaplan-Yorke dimensions, Lyapunov’s
exponents and Kolmogorov entropy etc.
Description
Keywords
structures with damages, environmental and other effects, nonlinear analysis, chaos, methods
Citation
Damage analysis and detection under varying environmental and operational conditions using a chaos theory methods / Vasily Buyadzhi, Valentin Ternovsky, Alexander Glushkov, Olga Khetselius, Andrey Svinarenko, Elena Bakunina // Environmental Problems. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 2. — No 3. — P. 165–170.