A damage identification method for beam structures based on support reaction force and inclination slope
A technology for bearing reaction force and damage identification, which is used in the testing of machine/structural components, elasticity testing, instruments, etc., and can solve the problems of complex structural damage identification and calculation.
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Embodiment 1
[0110] Embodiment one: see Figure 15 , the span of the simply supported beam is 100cm, and a unit is divided by 5cm, with a total of 20 units and 21 measuring points (the number in the upper circle in the figure is the unit number, and the lower number is the measuring point number). The cross-sectional size of the plate 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 .
[0111] 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 of the stiffness of the element, and does not cause the change of the mass of the element. Damage to elements is simulated by a reduction in th...
Embodiment 2
[0121] Embodiment two: see Figure 20 , the span of the cantilever beam is 100cm, and a unit is divided by 5cm. There are 20 units and 21 measuring points in total (the numbers in the upper circle in the figure are unit numbers, and the numbers in the lower row are measuring point numbers). The cross-sectional size of the plate 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 .
[0122] Considering that the fixed support end unit 1, the mid-span unit 10, and the free end unit 20 have different degrees of damage, the damage conditions are shown in Table 2.
[0123] Table 2 Multiple damage conditions of the cantilever beam
[0124]
[0125] The specific implementation steps are as follows:
[0126] Step 1: Apply a concentrated load of 10N to the No. 21 measuring point at the cantilever end of the damaged cantilever beam to obtain the measured inclination curve of the damaged cantilever beam, and th...
Embodiment 3
[0132] Embodiment three: see Figure 25 , the span layout of the three-span continuous beam is 100+150+100cm, and 10cm is divided into one unit, a total of 35 units and 36 measuring points (the numbers in the upper circle in the figure are the unit numbers, and the lower numbers are the support numbers) . The cross-sectional size of the plate 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 .
[0133] Unit 7 is located near the point 0 of the side span bending moment under uniform load, unit 13 is located near the point 0 of the bending moment under concentrated load in the middle span, unit 18 is the mid-span unit of the middle span, and unit 26 is the maximum negative moment unit of the third span. The damage conditions are shown in Table 3.
[0134] Table 3 Damage conditions of three-span continuous beams
[0135]
[0136] The specific implementation steps are as follows:
[0137] Step 1: Ap...
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