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Identification Method of Initial State of Beam Structure Based on Displacement and Rotation Angle
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A technology of initial state and identification method, applied in the field of civil engineering, can solve problems such as inconsistency of initial state, evaluation, damage identification deviation, etc., and achieve the effect of fewer influencing factors, simple and convenient operation, and wide application prospects
Active Publication Date: 2022-05-06
GUANGXI TRANSPORTATION SCI & TECH GRP CO LTD
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However, the design state is idealized, and the initial state of the actual structure is inconsistent with the design state. If it is used equally, it will bring deviations to subsequent evaluation, damage identification, etc., and this deviation cannot be ignored
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Embodiment 1
[0082] Example 1——Simply supported beam without damage
[0083] A concrete simulated beam has a span of 20m, a concrete strength grade of C50, a beam height of 1.2m, and a beam width of 1m. Assume that there is no damage to the beam, that is, no reduction in bending and shear stiffness occurs. At this time, the structural diagram is shown in figure 2 , finite element numerical model see image 3 . According to the finite element calculation results, when no damage occurs, the figure 2 In the state of the structure, the vertical displacement and rotation angle values of the structure are shown in Table 1.
[0084] Table 1 Calculation of vertical displacement and rotation angle values of undamaged simply supported beams
[0085]
[0086] Note: The vertical displacement value is negative downward; the rotation angle value is positive clockwise, and negative counterclockwise.
[0087] Substitute the values in Table 1 into the following equations of ...
Embodiment 2
[0101] Example 2 - damaged simply supported beam
[0102] The general situation of the project is the same as that of Example 1, except that different damages are artificially set. The damage conditions are shown in Table 3, and the schematic diagram of the beam member corresponding to the damage condition 3 is shown in Figure 4 .
[0103] Table 3 Damage condition setting table for simply supported beams with damage
[0104]
[0105] According to the finite element calculation results, the vertical displacement and rotation angle values of the structure under the above-mentioned various damage conditions are shown in Table 4.
[0106] Table 4 Calculation of vertical displacement and rotation angle values of simply supported beams with damage
[0107]
[0108]
[0109] Note: The vertical displacement value is negative downward; the rotation angle value is positive clockwise, and negative counterclockwise.
[0110] Substituting each value...
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Abstract
The invention discloses a method for identifying the initial state of a simply supported beam based on displacement and rotation angle. The method first divides the beam body into sections, tests the vertical displacement and rotation angle of the beam body at the section under the action of a known load, and then uses the basic mechanics principle , based on the displacement and rotation angle test values under the known load, the bending stiffness and shear stiffness value of each beam segment can be obtained by inversion. Finally, according to the principle that the bending strain energy and shear strain energy are equal, the equivalent The effective bending stiffness and shear stiffness can be used to obtain important initial state information of the beam structure. The invention only needs the vertical displacement and rotation angle test values under the known load to realize the identification of the bending resistance and shear stiffness of the beam structure, which has the advantage of strong operability; moreover, the present invention adopts an analytical method, There is no need to establish complex finite element models for multiple iterations, and the efficiency is higher; in addition, the invention can be applied to the bearing capacity evaluation, model correction and damage identification of beam structures, and has wide application prospects.
Description
technical field [0001] The invention relates to the technical field of civil engineering, in particular to a method for identifying the initial state of a beam structure based on displacement and rotation angle. Background technique [0002] Beam structure, as one of the most basic components in civil engineering, is used in various places, such as main beams and stiffening beams in bridge structures; primary and secondary beams in house structures, etc. As a beam structure, it mainly bears bending moment and shear force, and the corresponding important evaluation indicators are bending stiffness and shear stiffness. Bending stiffness is the product of the elastic modulus E of the structural material and the moment of inertia I of the section, which reflects the ability of the structure to resist deformation. The shear stiffness calculation formula is GA / r (where, G is the shear modulus of the structural material, A is the cross-sectional area, r is the cross-section shear ...
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