A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems
Although vibration monitoring is a popular method to monitor and assess dynamic structures, quantification of linearity or nonlinearity of the dynamic responses remains a challenging problem. We investigate the delay vector variance (DVV) method in this regard in a comprehensive manner to establish...
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| Format: | Online |
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The Royal Society Publishing
2016
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4736930/ |
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pubmed-47369302016-02-23 A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems Jaksic, V. Mandic, D. P. Ryan, K. Basu, B. Pakrashi, V. Engineering Although vibration monitoring is a popular method to monitor and assess dynamic structures, quantification of linearity or nonlinearity of the dynamic responses remains a challenging problem. We investigate the delay vector variance (DVV) method in this regard in a comprehensive manner to establish the degree to which a change in signal nonlinearity can be related to system nonlinearity and how a change in system parameters affects the nonlinearity in the dynamic response of the system. A wide range of theoretical situations are considered in this regard using a single degree of freedom (SDOF) system to obtain numerical benchmarks. A number of experiments are then carried out using a physical SDOF model in the laboratory. Finally, a composite wind turbine blade is tested for different excitations and the dynamic responses are measured at a number of points to extend the investigation to continuum structures. The dynamic responses were measured using accelerometers, strain gauges and a Laser Doppler vibrometer. This comprehensive study creates a numerical and experimental benchmark for structurally dynamical systems where output-only information is typically available, especially in the context of DVV. The study also allows for comparative analysis between different systems driven by the similar input. The Royal Society Publishing 2016-01-06 /pmc/articles/PMC4736930/ /pubmed/26909175 http://dx.doi.org/10.1098/rsos.150493 Text en http://creativecommons.org/licenses/by/4.0/ © 2016 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Jaksic, V. Mandic, D. P. Ryan, K. Basu, B. Pakrashi, V. |
| spellingShingle |
Jaksic, V. Mandic, D. P. Ryan, K. Basu, B. Pakrashi, V. A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems |
| author_facet |
Jaksic, V. Mandic, D. P. Ryan, K. Basu, B. Pakrashi, V. |
| author_sort |
Jaksic, V. |
| title |
A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems |
| title_short |
A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems |
| title_full |
A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems |
| title_fullStr |
A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems |
| title_full_unstemmed |
A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems |
| title_sort |
comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems |
| description |
Although vibration monitoring is a popular method to monitor and assess dynamic structures, quantification of linearity or nonlinearity of the dynamic responses remains a challenging problem. We investigate the delay vector variance (DVV) method in this regard in a comprehensive manner to establish the degree to which a change in signal nonlinearity can be related to system nonlinearity and how a change in system parameters affects the nonlinearity in the dynamic response of the system. A wide range of theoretical situations are considered in this regard using a single degree of freedom (SDOF) system to obtain numerical benchmarks. A number of experiments are then carried out using a physical SDOF model in the laboratory. Finally, a composite wind turbine blade is tested for different excitations and the dynamic responses are measured at a number of points to extend the investigation to continuum structures. The dynamic responses were measured using accelerometers, strain gauges and a Laser Doppler vibrometer. This comprehensive study creates a numerical and experimental benchmark for structurally dynamical systems where output-only information is typically available, especially in the context of DVV. The study also allows for comparative analysis between different systems driven by the similar input. |
| publisher |
The Royal Society Publishing |
| publishDate |
2016 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4736930/ |
| _version_ |
1613532172936806400 |