A Blade Tip-Timing method based on Periodic Nonuniform Sampling of order 2

Vibrations are among main causes of fatigue and damages leading to destruction of rotating blades. Consequently, motions of blades have to be carefully studied, and in particular, periodic components. Blade Tip-Timing (BTT) methods achieve non-intrusive measurements which is a great advantage with respect to classical methods. They can be modelled by a Periodic Nonuniform Sampling of order L equal to the number of probes (PNSL). In this paper, we develop the case L=2, and we prove that this model is sufficient for finding the places of asynchronous frequency lines, with their amplitudes and their phases. To increase L will increase the redundance and then the accuracy of the method. keywords: blade tip-timing, periodic nonuniform sampling, undersampling.