Weak guided wave signal detection using period jump of Duffing system

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A potential risk in ultrasonic guided wave testing is that weak echo signals from small defects may be submerged in noisy signals,which will cause missed detection.To over-come this shortcoming,a weak guided wave signal detection method based on period jump of the Duffing system is proposed in this paper.The critical state of the system period jump can be obtained by analyzing the bifurcation characteristics of the Duffing system with the variation of the driving force amplitude.A weak ultrasonic guided wave signal with the same frequency as the driving force is added to the driving force.This is equivalent to changing the driving force amplitude,which causes the period state to jump.Consequently,the weak guided wave signals can be identified based on the period jumps.The increase or decrease in the driving force amplitude due to the interference of the guided wave signal depends on the phase difference between the intercepted signal and the periodic driving force.The conditions for increasing and decreasing the driving force amplitude are out of phase with each other.They have an approximate phase difference of π within the same period.Two detection models for small-scale periodic states (SPS) and large-scale periodic states (LPS) are constructed,and the effectiveness of the models in identifying the guided wave signal is verified numerically and experimentally.The anti-noise interference capabilities of the two models are also compared.The results show that the SPS detection model provides unique results and a strong anti-noise ability,and effectively improves the sensitivity of small defect detection using ultrasonic guided waves.
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