Damage Identification Method for Continuous Beams Based on Curvature of Lines Influenced by Support Reactions
A support reaction force and damage identification technology, applied in instrumentation, geometric CAD, design optimization/simulation, etc., can solve problems such as failure to identify the degree of structural damage
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Embodiment 1
[0147] Embodiment one: see Figure 5 , taking a plexiglass plate model to simulate two-span continuous beams as an example, the span layout is 50+50cm, and 5cm is divided into a unit, a total of 20 units and 21 measuring points (the numbers in the upper circle in the figure are the unit numbers, The numbers in the lower row are the support numbers, and the numbers of the left and right measuring points of unit i are respectively i, i+1). The cross-sectional size is b×h=4.5cm×1.5cm, and the elastic modulus of the material is 2.7×10 3 MPa, Poisson's ratio is 0.37, density is 1200kg / m 3 .
[0148] The damage in the actual engineering structure, such as the generation of cracks, material corrosion or the reduction of elastic modulus, generally only causes a large change in the structural stiffness, but has little impact on the quality of the structure. Therefore, in the finite element calculation, it is assumed that the damage of the structural element only causes the decrease ...
Embodiment 2
[0163] Embodiment two: Simulate a three-span continuous beam with a plexiglass plate model as an example, as Figure 19 As shown, the span layout is 50+75+50cm, 5cm is divided into one unit, a total of 35 units, 36 measuring points (the numbers in the upper circle in the figure are the unit numbers, the lower numbers are the support numbers, unit i The numbers of the left and right measuring points are respectively i, i+1). Section dimensions and material parameters refer to the two-span continuous beam calculation example.
[0164] 1) Single damage situation
[0165] The damage conditions are shown in Table 3, in which unit 1 is located near the 1# support at the left end of the first span, unit 18 is the mid-span unit of the middle span, and unit 26 is located near the 3# support at the left end of the third span where the negative bending moment is the largest.
[0166] Table 3 Single damage condition of three-span continuous beam
[0167]
[0168] The DI index of wor...
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