A modal estimation method of rotating blade based on compressed sensing and blade tip timing

Structural modal estimation has consistently remained one of the most crucial areas research in mechanical vibration analysis and signal processing. It is imperative to accurately monitor signals rotor blades their corresponding structural parameters. Blade tip timing (BTT) a promising approach used measure health blades. However, existing BTT methods focus on frequency accuracy, neglecting damping, key physical quantity that represents strength structure. This focuses damping blade proposes sparse reconstruction algorithm based two-dimensional Laplace wavelet family, which addresses inherent under-sampled problem technology while enabling estimations both Firstly, proposed achieved by designing dictionary prior information using convex optimization objective function with regularization term. Secondly, matches better than traditional Fourier similarity between damped wavelet, then sparser representation vector can be obtained. Moreover, object not limited single blade, but easily expanded multiple stages rotating monitored simultaneously. Finally, simulation test results indicate method exhibits high reliability, anti-noise abilities.