Damage identification method for constant-section beam structures based on curvature difference of displacement influence lines
A displacement influence line, structural damage technology, applied in the testing of machine/structural components, elasticity testing, instruments, etc., can solve problems such as inability to provide
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Embodiment 1
[0123] Embodiment one: see Figure 9 , the span of the simply supported beam is 100cm, and a unit is divided by 5cm, a total of 20 units and 21 nodes (the numbers in the circles in the upper row in the figure are the unit numbers, and the numbers in the lower row are the node numbers). The cross-sectional size of the plate is b×h=6cm×3cm, and the elastic modulus of the material is 2.7×10 3 MPa, the density is 1200kg / m 3 .
[0124] The damage in the actual bridge 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, the damage of the element is simulated by reducing the elastic modulus. The beam structure model is established by finite element software. Taking the damage condition of a single unit of a simply supported beam as an example, consider that the side un...
Embodiment 2
[0136] Embodiment two: see Figure 12 , the span layout of the three-span continuous beam is 60+90+60cm, and 5cm is divided into one unit, a total of 42 units and 43 nodes (the numbers in the circles in the upper row in the figure are unit numbers, and the numbers in the lower row are node numbers). The cross-sectional size of the plate is b×h=6cm×3cm, and the elastic modulus of the material is 2.7×10 3 MPa, the density is 1200kg / m 3 . Considering that multiple damages of different degrees occur at the same time, the damage conditions are shown in Table 2.
[0137] Table 2 Multi-damage conditions of three-span continuous beams
[0138]
[0139] The specific implementation steps are as follows:
[0140] Step 1: Set measuring points at nodes 7, 22, and 37, apply a 1kN moving load to the three-span continuous beam, and obtain the displacement influence lines measured at the measuring points.
[0141] Step 2: Calculate the curvature difference of the displacement influence...
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