Abstract

The dynamics of rotating systems such as helicopters and wind turbines show periodically time-varying behavior. Differently from the linear time-invariant case, such systems cannot be characterized by the classical modal parametrization. An alternative description is made possible with the Floquet theory which extends the modal analysis and the notions of frequencies and damping ratios to the periodic case. Based on this description, the present paper suggests a new output-only subspace identification algorithm able to extract the modal parameters. Besides, in operational modal analysis, the identified modes may be subjected to statistical uncertainty from ambient vibration measurements. Hence, the suggested identification algorithm will allow as well an efficient estimation of the uncertainty bounds on the identified modal parameters.

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