Damage identification method for beam structures based on mode weighted modal flexibility
A technology of damage identification and beam structure, which is applied in the analysis of solids using sonic/ultrasonic/infrasonic waves.
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Embodiment 1
[0128] Embodiment one: see image 3 , is a simply supported beam with a span of 10m and is equally divided into 20 units (the numbers in the upper circle in the figure are the unit numbers, and the lower numbers are the node numbers). The cross-sectional size is b×h=300mm×500mm, and the elastic modulus of the material is E=3.25×10 4 MPa, the density is 2500kg / m 3 . The damage of the unit is simulated by the reduction of the elastic modulus, and the damage conditions of the beam structure are shown in Table 1:
[0129] Table 1 Damage conditions of simply supported beams
[0130]
[0131] The specific implementation steps are as follows:
[0132] Step 1: Obtain the first three vertical frequencies and mode shapes of the simply supported beam before and after damage through finite element model simulation analysis.
[0133] Step 2: Calculate the weighted damage index of the mode shape curvature sign function according to the frequency and mode shape before and after the d...
Embodiment 2
[0135] Embodiment two: see Figure 8 , is a three-span continuous beam finite element model, its span layout is 10m+15m+10m, 1.0m is divided into one unit, a total of 35 units, 36 nodes, (the number in the upper circle in the figure is the unit number, The numbers in the lower row are node numbers). The cross-sectional size is b×h=300mm×500mm, and the elastic modulus of the material is E=3.25×10 4 MPa, the density is 2500kg / m 3 . The damage of the unit is simulated by the reduction of the elastic modulus, and the damage conditions of the beam structure are shown in Table 2:
[0136] Table 2 Damage conditions of three-span continuous beams
[0137]
[0138] The specific implementation steps are as follows:
[0139] Step 1: Obtain the first three vertical frequencies and mode shapes of the three-span continuous beam before and after damage through finite element model simulation analysis.
[0140] Step 2: Calculate the weighted damage index of the mode shape curvature s...
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