Based on the characteristics of blade vibration and tip timing system

the regulation of blade vibration response under arbitrary sensor angle distribution was studied. Based on the sparsity in frequency domain of tip timing signal

the application of compressive sensing method in reconstruction of blade tip timing signal and mode identification was explored. Through a large number of numerical experiments of synchronous and non-synchronous signals

the influences of signal reconstruction errors

number of sensors

number of sampling cycles

frequency resolution and signal to noise ratio on the identification effect were analyzed

and the basic methods and steps of the compressive sensing method to reconstruct the timing signal of blade tip were determined. Finally

the method was applied to the reconstruction of vibration response data of a titanium alloy wide chord fan blade from the finite element simulation. The results show that the excitations with large amplitudes can be accurately identified under three rotating speed conditions of 80%

90% and 100% with blade tip position error and 30 dB noise signals. The compressive sensing method based on arbitrary sensor angle distribution is effective in identifying the timing signal of blade tip and has value of engineering application and promotion.