Local bridge damage quantification method based on deflection influence lines
A quantification method and influence line technology, applied in the direction of instruments, complex mathematical operations, calculations, etc., can solve problems such as difficulty in constructing sensitivity matrix, iteration non-convergence, and large amount of calculation
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Embodiment 1
[0185] Example 1: Damage quantification of numerical models of simply supported beams and continuous beams
[0186] The design dimensions of simply supported beam model are as follows: figure 1 As shown (the node numbers are 1~41), the length is 2m, and the rectangular cross-sectional size is 0.03m×0.05m. Other material parameters include: elastic modulus E = 205GPa; density ρ = 7800kg / m 3 . The finite element modeling adopts the Euler-Bernoulli beam unit, and the beam is divided into 40 units (1~40), numbered sequentially from left to right.
[0187] In order to verify the ability of this method to identify one damage and multiple damages, the following two damage cases are designed: (1) Damage case 1: the stiffness of No. 8 unit of the simulated simply supported beam is reduced by 30%; (2) Case 2: The stiffnesses of No. 8, No. 22 and No. 36 units of the simulated simply supported beam are reduced by 20%, 25% and 15% respectively. Due to the objective existence of measure...
Embodiment 2
[0197] Example 2: Quantification of damage to simply supported aluminum beams in the laboratory
[0198] The simply supported aluminum beam adopts a box section with a length of 3.16m, a height of 0.025m, a width of 0.15m, and a box wall thickness of 0.0015m. The front view and cross section of its finite element model are as Figure 11 shown. The Young's modulus after model update is E=6.9×10 10 Pa, using a 2.47Kg mass block to carry out static loading according to a specific spacing (the unit spacing of the model division) to simulate the moving vertical unit force. Selectively arrange displacement meters at the 1 / 4 span, 1 / 2 span, 5 / 8 span and 3 / 4 span of the beam, and the sampling frequency is 50Hz.
[0199] In addition, in order to simulate damage and locate damage, the whole beam is divided into 32 areas, which are numbered from left to right, except for the area at the starting end, which is 8 cm, and the rest are 10 cm. This is also to facilitate subsequent model p...
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