A damage early warning method for civil engineering structures considering the influence of temperature
A civil engineering structure and structural damage technology, applied in the direction of instrument, calculation, electrical digital data processing, etc., can solve the problem of not considering the influence of temperature on the early warning of civil engineering structure damage, and achieve novel methods, strong operability, theoretical rigorous effect
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Embodiment 1
[0051] A damage warning method for civil engineering structures under the influence of temperature factors, the specific steps are as follows:
[0052] (1) Build AR model:
[0053]
[0054] In the formula, p represents the model order, is the autoregressive coefficient (AR model coefficient), Indicates the "historical value" X at time t-i t-i For the value X at time t t Contribution or influence, {ɑ t} means 0 and variance σ ɑ 2 white noise sequence;
[0055] (2) By carrying out principal component analysis to the above-mentioned AR model coefficients, the method of seeking the residual error of the principal component analysis results reduces the impact of ambient temperature on the AR model coefficients;
[0056] a) Assuming a sample matrix Y∈R constructed from AR model coefficients n×N , perform singular value decomposition on the covariance matrix of the sample matrix Y:
[0057] YY T =USUT (2)
[0058] In the above formula, U is an orthogonal matrix, that...
Embodiment 2
[0079] A three-dimensional finite element model of a four-layer framework is established by using ANSYS, such as figure 1 As shown, the basic parameters: the density is 7800Kg / m 3 , Poisson's ratio μ=0.3. Columns, beams and supports use BEAM4 unit, the roof adopts SHELL63 unit, and the accumulation mass on the roof adopts MASS21 unit for simulation.
[0080] The model has a total of 32 nodes, 192 degrees of freedom, 50 BEAM4 units, 1 SHELL3 unit, 4 MASS21 units, 7 unit section types, and the model is fixed to the foundation.
[0081] In this example, the diagonal braces on the Y-direction surface II (6) are damaged to different degrees as the research object. The damage is realized by the reduction of the elastic modulus. The temperature range is -20°C to 40°C. The elasticity of the steel Modulus and temperature relationship as figure 2 shown.
[0082] The numerical simulation considering the influence of temperature is realized by setting the elastic modulus of the struc...
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