Bridge cluster structure damage discrimination method based on strain response cumulative distribution function difference

[0022] Specific embodiment one: the bridge cluster structure damage discrimination method based on the strain response cumulative distribution function difference described in this embodiment, the method comprises the following steps:

[0023] Step 1: Collect the structural strain monitoring data of all measuring points of all similar bridges with monitoring systems in the bridge cluster under the healthy state;

[0024] Step 2: Use the monitoring strain response cluster analysis method based on data similarity to perform cluster analysis on each column of the structural strain monitoring data, and obtain the clustering results of all measuring points according to the data correlation;

[0025] Step 3: According to the clustering results of step 2, collect the structural strain monitoring data of all measuring points in a certain category under the state to be diagnosed;

[0026] Step 4: According to the structural strain monitoring data of all measuring points in a certain categ

[0031] Specific embodiment two: this embodiment is to further explain the bridge cluster structure damage discrimination method based on the strain response cumulative distribution function difference described in specific embodiment one. In this embodiment, all measuring points obtained in step two are obtained according to The method of clustering and dividing results of data correlation is as follows:

[0032] Step 21: According to the structural strain monitoring data set X in the healthy state obtained in step 1, each column in the matrix represents the same measuring point, and each row represents the same moment. The matrix X can be expressed as:

[0033] X=[ω 1 ,ω 2 ,…,ω i ,…,ω n ] m×n (1)

[0034] In the formula, ω i is the structural strain monitoring data of the i-th measuring point in a healthy state; 1≤i≤n; n is the number of measuring points; m is the number of sampling points in a healthy state.

[0035] Step 22: According to the structural strain monitorin

[0039] Specific embodiment three: this embodiment is to further explain the bridge cluster structure damage discrimination method based on the strain response cumulative distribution function difference described in specific embodiment one. The method of structural strain monitoring data after disturbance is as follows:

[0040] Step 41: Assuming that a certain type of structural strain monitoring data set in the state to be diagnosed is a matrix Y, then the construction matrix of matrix Y is defined as:

[0041] A=Y T Y (3)

[0042] In the formula, (·) T Indicates the transposition of the matrix; Y is the structural strain monitoring data set in the state to be diagnosed, u is the number of sampling points in the state to be diagnosed; v is the number of measuring points of a certain category;

[0043] Step 42: Perform singular value decomposition on the construction matrix A:

[0044] A=US v V T (4)

[0045] In the formula, U and V are respectively the left singular v