Duffing equation Lyapunov index based ultrasonic guided wave detection method
A technology of ultrasonic guided wave and detection method, which is applied in the direction of processing the response signal of detection, etc.
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[0047] Such as figure 1 As shown, it is the ultrasonic guided wave detection process of this embodiment, and the specific implementation process is as follows:
[0048] 1) Construct the Duffin oscillator signal detection system based on the Duffin equation, and calculate the Lyapunov exponent changing with the driving force F, the specific process is as follows:
[0049] a) Construct the Duffin oscillator signal detection system
[0050] The Duffin equation is a commonly used model in weak signal detection. The nonlinear system described by it exhibits a variety of nonlinear characteristics, including complex states of oscillation, bifurcation, and chaos. Its expression is:
[0051] x · · + k x · - x + x 3 = F cos ωt - - - ...
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