Shock echo signal analysis method based on variational mode decomposition
A technique of variational modal decomposition and signal analysis method, which is applied in the processing of detected response signals, using ultrasonic/sonic/infrasonic waves, complex mathematical operations, etc. problems, to improve the mathematical foundation and practical effects, suppress noise, and effectively suppress noise interference
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[0103] Shock echo is a structural non-destructive testing based on transient P waves, and the thickness of components is calculated according to the following formula:
[0104]
[0105] Among them, T is the thickness of the concrete structural member, V p is the wave speed of P wave, ω c is the dominant frequency of the amplitude spectrum.
[0106] P wave velocity V p There is the following relationship with the structure's Young's modulus E, Poisson's ratio ν and structure density ρ:
[0107]
[0108] Take a concrete floor as the test object, the size of the concrete floor is 1.50m×1.50m, and the thickness is 0.20m. Young's modulus E, Poisson's ratio ν and structural density ρ are 37.8GPa, 2500kg / m3, and 0.2, respectively. According to formula (15), it can be obtained that the longitudinal wave velocity is 4099m / s. Shock echo thickness is calculated according to formula (14), and the theoretical value of Fourier main frequency should be 10247Hz.
[0109] For the a...
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