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A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems
V Jaksic1, D P Mandic2, K Ryan3
1Dynamical Systems and Risk Laboratory, Civil and Environmental Engineering , School of Engineering, University College Cork , Cork, Republic of Ireland.
Royal Society Open Science
|February 25, 2016
Summary
The delay vector variance (DVV) method effectively quantifies nonlinearity in structural dynamics. This study validates DVV using numerical models, physical experiments, and a wind turbine blade, establishing it as a reliable tool for assessing system nonlinearity.
Area of Science:
- Structural Dynamics
- Nonlinear System Analysis
- Vibration Monitoring
Background:
- Quantifying nonlinearity in dynamic structural responses is challenging.
- Vibration monitoring is crucial for assessing structural health.
- Existing methods struggle to accurately assess system nonlinearity.
Purpose of the Study:
- To comprehensively investigate the delay vector variance (DVV) method for quantifying structural nonlinearity.
- To establish the relationship between signal nonlinearity and system nonlinearity.
- To assess the impact of system parameter changes on dynamic response nonlinearity.
Main Methods:
- Numerical simulations using single degree of freedom (SDOF) systems.
- Experimental validation with a physical SDOF model.
- Testing on a composite wind turbine blade under various excitations.
- Data acquisition using accelerometers, strain gauges, and Laser Doppler vibrometer.
Main Results:
- The DVV method successfully quantifies nonlinearity in dynamic responses.
- Numerical and experimental benchmarks were established for SDOF systems.
- The study extended the analysis to continuum structures like a wind turbine blade.
- Comparative analysis between different systems with similar inputs was enabled.
Conclusions:
- The DVV method provides a robust approach for nonlinearity quantification in structural dynamics.
- The study offers a validated benchmark for output-only structural analysis.
- DVV is applicable to both simplified and complex structural systems.
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