Detection method for damage of random vibration structure based on correlation function amplitude vector
A cross-correlation function, random vibration technology, applied in electrical digital data processing, special data processing applications, processing response signals of detection, etc., can solve problems such as damage
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Embodiment 1
[0029] Embodiment 1: Using the strain response to perform damage detection on a simply supported beam, the two ends of the beam are subjected to transverse random excitation.
[0030] a. Step 1: Establish and test the magnitude vector of the cross-correlation function of the intact beam
[0031] 8 measuring points are evenly arranged on the beam, each measuring point is equipped with a strain sensor, and these 8 strain sensors are numbered sequentially from one end of the beam: 1, 2, ..., 8. Denote the response signals of sensors 1 to 8 as X 1 (t), x 2 (t), Λ, x 8 (t). The signal of sensor 5 is stronger and the signal-to-noise ratio is higher, so point 5 is selected as the reference point. Calculate x separately 5 (t) and x 1 (t), x 2 (t), Λ, x 8 (t) cross-correlation function, and respectively recorded as: R 51 (τ), R 52 (τ), Λ, R 58 (τ), and their values at the point of maximum absolute value are r 51 , r 52 , Λ, r 58 , compose it into a vector, recorded as C...
Embodiment 2
[0051] Embodiment 2: Using the acceleration response to perform damage detection on a simply supported beam, the two ends of the beam are randomly excited in the transverse direction.
[0052] a. Step 1: Establish and test the magnitude vector of the cross-correlation function of the intact beam
[0053] 8 measuring points are evenly arranged on the beam, and an acceleration sensor is installed on each measuring point. The 8 acceleration sensors are numbered sequentially from one end of the beam: 1, 2, ..., 8. Denote the response signals of sensors 1 to 8 as x 1 (t), x 2 (t), Λ, x 8 (t). The signal acquisition time is 6 seconds. The signal of sensor 5 is stronger and the signal-to-noise ratio is higher, so point 5 is selected as the reference point. Calculate x separately 5 (t) and x 1 (t), x 2 (t), Λ, x 8 (t) cross-correlation function, and denoted as R 51 (τ), R 52 (τ), Λ, R 58 (τ), and their values at the point of maximum absolute value are r 51 , r 52 , Λ, ...
Embodiment 3
[0076] Embodiment 3: Damage detection is performed on a four-story building, and the top of the building is randomly excited in the horizontal direction.
[0077] a. The first step: establish and test the magnitude vector of the cross-correlation function of the intact building
[0078] An acceleration sensor is installed on the top of each floor of the building, and the four acceleration sensors are numbered sequentially from the first floor: 1, 2, 3, 4. Denote the response signals of sensors 1 to 4 as x 1 (t), x 2 (t), x 3 (t), x 4 (t). Choose 3 points as reference points and calculate x respectively 3 (t) and x 1 (t), x 2 (t), x 3 (t), x 4 (t) cross-correlation function, denoted as R31 (τ), R 32 (τ), R 33 (τ), R 34 (τ), and their values at the point of maximum absolute value are r 31 , r 32 , r 33 , r 34 , compose it into a vector, recorded as CorV={r 31 r 32 r 33 r 34}. The CorV is tested twice, the signal acquisition time is 15 seconds, and the t...
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