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This study was to conduct the 3-D position identi fication of a research-scale rotating blade in the laboratory using limited number of sensors. The turbine system was rotated by a controlled motor and one of the b lades was instrumented with a single 3-dimensional accele rom ter at the tip of one blade. Data acquisition w as achieved using a prototype wireless sensing system. First, the Rodrigues' rotation formula was used to etermine the blade rolling angle and pitching angle of the r otating blade system through optimization. From the residual signal between the recorded and the calculated data , the blade flap-wise natural frequency can be iden t fi d. To verify the result of identification, the covariance -driven stochastic subspace identification method ( SSI-COV) was also used to construct the stability diagram fr om which the system natural frequencies can also be identified. It is proved that by using 3-D measurement from a s ingle sensor and through Rodrigues' rotation formul a one can identify the blade geometry setup as well as th e blade flap-wise vibration frequency

Vibration-based identification of rotating blades using Rodrigues' rotation formula from a 3-D measurement