Bridge damage detection method based on strain influence line curvature of elastic constraint beam
An elastic constraint, damage detection technology, applied in geometric CAD, design optimization/simulation, sustainable transportation, etc., can solve problems such as difficulty in diagnosing bridge damage, damage, and initial parameters of supports affecting damage diagnosis results.
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Embodiment 1
[0039] A bridge damage detection method based on the curvature of the strain-influenced line of an elastically constrained beam, the method comprising the following steps:
[0040] Step 1: In order to solve the non-ideal constraint status of the actual simply supported girder bridge support, simplify the analysis of the boundary conditions of the girder bridge, based on the Euler-Bernoulli beam assumption, establish the elastic constrained beam model under the constraints of vertical elastic springs and horizontal double springs, It is used to simulate the actual boundary constraints of girder bridges, such as simply supported girder bridges under the vertical elastic deformation of buttresses and non-ideal rotational constraints, or a span of continuous girder bridges, or elastic expansion and contraction of suspenders and cables. The main girders of hanger arch bridges, cable-stayed bridges and suspension bridges that are constrained to rotate by the main girder of the adjace...
Embodiment 2
[0088] Considering the solid web section of the arch section of a rigid frame arch bridge as an elastically constrained beam, a finite element model of the rigid frame arch section is established, and the cross-sectional dimensions of the model are shown in Figure 4 As shown, the concrete strength grade is C30. In order to introduce the initial uncertainty parameters of the section bending resistance, according to the lognormal and standard normal probability distribution models, the coefficient of variation δ of the elastic modulus of the material and the moment of inertia of the section is introduced E and δ I , the bending stiffness uncertainty parameter Λ(x) of unit 1-80 is given by δ E and δ I Multiplied together, the following table shows the model's initial bending uncertainty parameter description:
[0089]
[0090]
[0091] In the verification process of the calculation example, the local damage is simulated by reducing the elastic modulus of the element, the...
Embodiment 3
[0103] In order to further verify the damage identification effect of SILC in high-order statically indeterminate structures, a three-span continuous steel truss tie-bar arch bridge model was established; the whole bridge adopts a single-layer deck, the main truss The bridge is a continuous steel truss structure of 102m+180m+102m. The finite element model adopts Q235 steel with strength grade and elastic modulus of 210GPa. The model has 1287 kinds of sections, 2561 elements and 907 nodes. The typical section dimensions and models are shown below Figure 11 .
[0104] In order to prove the effect of SILC on the damage identification of different components, three damage cases are introduced into the model for the common damage of steel truss arch bridges in actual engineering. The damage location and degree are shown in Figure 12 , A is the measuring point, B is working condition 1 and the suspender is damaged by 40%, C is working condition 2 and the beam node is 40% damaged,...
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