CN111397821A - Bridge structure damage positioning method based on cross correlation of axle signals - Google Patents

Bridge structure damage positioning method based on cross correlation of axle signals Download PDF

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CN111397821A
CN111397821A CN202010257451.9A CN202010257451A CN111397821A CN 111397821 A CN111397821 A CN 111397821A CN 202010257451 A CN202010257451 A CN 202010257451A CN 111397821 A CN111397821 A CN 111397821A
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bridge
damage
vehicle
signals
correlation
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聂振华
谢永康
马宏伟
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Jinan University
University of Jinan
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M5/00Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
    • G01M5/0008Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings of bridges
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M5/00Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings
    • G01M5/0066Investigating the elasticity of structures, e.g. deflection of bridges or air-craft wings by exciting or detecting vibration or acceleration
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
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    • G06F17/15Correlation function computation including computation of convolution operations

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Abstract

The invention discloses a bridge structure damage positioning method based on axle signal cross correlation, which comprises the following steps: arranging a vertical acceleration sensor at any position on the bridge; a vertical acceleration sensor is arranged on a vehicle, and the vehicle passes through a bridge at a constant speed; respectively collecting acceleration signals a of the bridge in the process that vehicles drive through the bridgeb(i) And acceleration signal a of the vehiclev(i) The method includes the steps of defining a time window with the length of L, synchronously and respectively intercepting obtained acceleration signals, defining an axle signal cross-correlation damage index COR (i) for indicating a damage position of a bridge, moving the time window to obtain a windowed COR (i) time sequence, determining a time point when a vehicle passes through the damage position of the bridge according to a sudden change position of a COR (i) curve, and calculating to obtain the damage position of the bridgeThe bridge damage positioning can be realized, the operation is simple, and the cost is reduced.

Description

Bridge structure damage positioning method based on cross correlation of axle signals
Technical Field
The invention relates to the technical field of structural safety monitoring, in particular to a bridge structure damage positioning method based on axle signal cross correlation.
Background
The current bridge structure damage detection has the problems of too many monitoring points and structural health data loss. In the existing bridge structure damage detection system, a large number of sensors are usually installed on a bridge structure to collect signals, and the health condition of the bridge is detected by comparing the signal characteristics in real time and in a healthy state. On one hand, the installation and maintenance cost of a large amount of sensor equipment can greatly increase the engineering cost; on the other hand, most bridges with long operation time lack the reference data in the initial health state.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a bridge structure damage positioning method based on the cross correlation of axle signals. The method is based on a data driving principle, does not need reference data in a bridge health state, and can realize bridge damage positioning only by using measured data of a single mobile sensor on a vehicle and a sensor on a bridge.
The purpose of the invention can be achieved by adopting the following technical scheme:
a bridge structure damage positioning method based on axle signal cross correlation comprises the following steps:
s1, arranging an acceleration sensor for measuring vertical acceleration at any position on the bridge to be measured;
s2, mounting an acceleration sensor with the vertical measuring direction on the vehicle, and driving the vehicle to pass through the bridge to be measured at a constant speed;
s3, respectively collecting acceleration signals a of the bridge in the process that the vehicle drives across the bridgeb(i) And acceleration signal a of the vehiclev(i) Where i is 1,2, …, N is the sample point length;
s4, defining a time window with the length of L, synchronously and respectively intercepting acceleration signals of the bridge and the vehicle to obtain a signal a in the windowbL(n) and avL(n), wherein n is 1,2, … L;
s5, defining an axle signal cross-correlation damage index COR (i) indicating the damage position of the bridge:
COR(i)=max{Rvb(i)}
wherein R isvb(i) For ith versus time of vehicle and bridgeCross-correlation sequences of window signals, i ═ 1,2, …, N-L + 1;
s6, moving a time window, wherein the moving step length is a sampling interval, obtaining a time sequence of a windowed damage index COR (i), and determining a time point when a vehicle passes through the damage position of the bridge according to the sudden change position of a COR (i) curve;
and S7, multiplying the determined damage time point by the moving speed of the vehicle to calculate the damage position of the bridge, and realizing the damage positioning of the bridge structure by utilizing the mechanism.
Further, according to the fragrance concentration sampling theorem, the length L of the time window is determined as follows:
Figure BDA0002437922390000031
wherein f issFor signal sampling frequency, f1The fundamental frequency of the acceleration of the bridge to be measured is obtained from a spectrogram of the measured signal after fast Fourier transform.
Further, in the step S5, the i-th pair of time window signals of the vehicle and the bridge are cross-correlated with each other by the sequence Rvb(i) The determination is as follows:
Figure BDA0002437922390000032
wherein τ is a delay time, i is 1,2, …, N-L + 1.
Compared with the prior art, the invention has the following advantages and effects:
1) the method does not need reference data in a bridge health state, can realize the damage positioning of the bridge structure by only directly analyzing the measured acceleration signal, belongs to a data driving method, and is suitable for the engineering application of an actual bridge. The traditional detection method which needs comparison of the reference data of the structural health condition is not suitable for bridges which are long in construction time and lack of original health data, and a large amount of engineering cost is consumed for detection and storage of bridge health state data. In addition, most bridge monitoring systems are installed after being operated for a certain time, and have no early-stage basic data.
2) The invention is a complete data-driven method without establishing a finite element model of a bridge structure, and can achieve the purpose of damage diagnosis only by the measured data during detection. For the traditional model-based method needing to establish a structural finite element model, an accurate finite element model needs to be established, and then model correction is carried out, but the gap that the finite element model and a real structure have errors cannot be spanned, so that the accuracy of the model-based method often cannot meet the engineering requirements. The method eliminates the process.
3) The method can realize the bridge damage positioning by only utilizing one mobile sensor on the vehicle and one sensor on the bridge, thereby avoiding the process of arranging a large number of sensors on the bridge in the traditional monitoring method, greatly reducing the number of monitoring sensors and the storage quantity of monitoring data, effectively solving the problem that the structural damage detection needs a large number of sensors and mass data is difficult to process, and greatly reducing the system construction cost.
Drawings
FIG. 1 is a flow chart of a method for locating damage to a bridge structure based on cross-correlation of axle signals as disclosed in the present invention;
FIG. 2 is a simplified schematic illustration of a simple beam bridge model according to an embodiment;
FIG. 3 is a schematic diagram of the measured acceleration signal (30% damage) and time window of the bridge in the example;
FIG. 4 is a spectrum diagram of a measured bridge acceleration signal (30% damage) in an example;
FIG. 5 is a graph of the cross-correlation sequence COR (i) for sensor 1 and vehicle sensor for an embodiment of a bridge damage of 30%;
FIG. 6 is a graph of the cross-correlation sequence COR (i) for sensor 1 and vehicle sensor for an embodiment of a bridge damage of 50%;
FIG. 7 is a graph of the cross-correlation sequence COR (i) for sensor 2 and vehicle sensors for an embodiment of a bridge damage of 30%;
fig. 8 is a graph of the cross correlation sequence cor (i) of sensor 2 and vehicle sensor with 50% beam bridge damage in the example.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention clearer and clearer, the present invention is further described in detail below with reference to the accompanying drawings and examples. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Examples
As shown in fig. 1, fig. 1 is a flowchart of a method for positioning damage to a bridge structure based on cross-correlation of axle signals according to an embodiment of the present invention. The steel bridge model used in this example is shown in schematic diagram 2, the length l of the model beam is 40m, and the sampling frequency fsIs 1000 Hz. In order to illustrate the effectiveness of the method, 30% and 50% section loss rates are respectively set at the position of 0.4l of the beam length to simulate two damage working conditions, and 2 acceleration sensors at different positions are mounted on the bridge to verify the effectiveness and reliability of the sensors at different positions on the bridge. The specific implementation process is as follows:
s1, arranging a vertical acceleration sensor on the bridge to be measured; to illustrate the effectiveness of the method in mounting the sensors at different locations, acceleration sensor 1 and acceleration sensor 2 are mounted at the bridge 3/10 and 8/10, respectively, as shown in fig. 2;
s2, mounting an acceleration sensor with the vertical measuring direction on the vehicle, and enabling the vehicle to pass through the bridge at a constant speed of v-1 m/S;
s3, respectively collecting acceleration signals a of the bridge in the process that the vehicle drives across the bridgeb(i) And acceleration signal a of the vehiclev(i) Where i is 1,2, … N, N is the sample point length, as shown in fig. 3; here, the sampling length N ═ lfs/v=40000;
S4, defining a time window with the length of L, synchronously and respectively intercepting acceleration signals of the bridge and the vehicle to obtain a signal a in the windowbL(n) and avL(n), wherein n is 1,2, … L;
in step S4, the length L of the time window is determined according to the fragrance concentration sampling theorem as follows:
Figure BDA0002437922390000061
wherein f issFor signal sampling frequency, f1The fundamental frequency of the acceleration of the bridge to be measured is obtained from the spectrogram after fast Fourier transform of the measured signal, the spectrogram after FFT transform under the condition of 30% damage is shown in FIG. 4, and it can be known from the figure that the fundamental frequency is 2.136Hz, the window length L is 1000/2.136 is 468.165, and the whole is 468.
S5, defining an axle signal cross-correlation damage index COR (i) indicating the damage position of the bridge:
COR(i)=max{Rvb(i)}
wherein R isvb(i) Is the cross-correlation sequence of two signals in the ith time window of the vehicle and the bridge, i is 1,2, …, 39533;
in step S5, the cross-correlation sequence R of the two signals in the ith time window of the vehicle and the bridgevb(i) The determination is as follows:
Figure BDA0002437922390000062
where τ is the delay time, i is 1,2, …, 39533. The delay time is selected according to unbiased estimation correlation calculation, and the obtained cross-correlation sequence Rvb(i) Is a column vector of length 2L-1.
S6, moving a time window, as shown in fig. 3, obtaining a time sequence of a windowed damage index COR (i), and determining a time point when the vehicle passes through the damage position of the bridge according to a COR (i) curve; if the bridge is damaged, the COR (i) curve generates jumping mutation when the vehicle passes through the damaged position; under healthy conditions, no mutation occurs in the COR (i) curve. The damage time corresponding to the mutation position under the working conditions of 30% damage and 50% damage is t-16000/1000 Hz-16 s;
and S7, multiplying the determined damage time point by the moving speed of the vehicle, and calculating to obtain the damage position of the bridge as 16S × 1m/S as 16m, namely at the position of the beam length of 0.4 l. Fig. 5 and 6 are graphs of cross-correlation indexes cor (i) of signals measured by the vehicle sensor and the bridge sensor 1 under two working conditions, and fig. 7 and 8 are graphs of cross-correlation indexes cor (i) of signals measured by the vehicle sensor and the bridge sensor 2 under two working conditions, which accurately position damage.
In summary, the bridge structure damage positioning method based on the axle signal cross correlation provided by the invention does not need reference data in a bridge health state and a structural finite element model, and can realize bridge damage positioning by only using measured data of a single mobile sensor on a vehicle and a sensor on a bridge.

Claims (3)

1. A bridge structure damage positioning method based on axle signal cross correlation is characterized by comprising the following steps:
s1, arranging an acceleration sensor at any position on the bridge to be measured, and measuring an acceleration signal in the vertical direction;
s2, mounting an acceleration sensor with the vertical measuring direction on the vehicle, and driving the vehicle to pass through the bridge to be measured at a constant speed;
s3, respectively collecting acceleration signals a of the bridge in the process that the vehicle drives across the bridgeb(i) And acceleration signal a of the vehiclev(i) Where i is 1,2, …, N is the sample point length;
s4, defining a time window with the length of L, synchronously and respectively intercepting acceleration signals of the bridge and the vehicle to obtain a signal a in the windowbL(n) and avL(n), wherein n is 1,2, …, L;
s5, defining an axle signal cross-correlation damage index COR (i) indicating the damage position of the bridge:
COR(i)=max{Rvb(i)}
wherein R isvb(i) The cross correlation coefficient sequence of two signals in the ith time window of the vehicle and the bridge is i, wherein i is 1,2, …, N-L + 1;
s6, moving a time window, wherein the moving step length is a sampling interval, obtaining a time sequence of a windowed damage index COR (i), and determining a time point when a vehicle passes through the damage position of the bridge according to the sudden change position of a COR (i) curve;
and S7, multiplying the determined damage time point by the moving speed of the vehicle to calculate the damage position of the bridge, and realizing the damage positioning of the bridge structure by utilizing the mechanism.
2. The method for locating damage to a bridge structure based on cross-correlation of axle signals of claim 1, wherein the length L of the time window is determined as follows:
Figure FDA0002437922380000021
wherein f issFor signal sampling frequency, f1The base frequency is the base frequency of the acceleration of the bridge to be detected, and the base frequency is obtained from a spectrogram of the acceleration signal of the bridge to be detected after fast Fourier transform.
3. The method for locating structural damage to a bridge based on the cross-correlation between axle signals of claim 1, wherein in step S5, the cross-correlation sequence R of two signals in the ith time window of the vehicle and the bridgevb(i) The determination is as follows:
Figure FDA0002437922380000022
wherein τ is a delay time, i is 1,2, …, N-L + 1.
CN202010257451.9A 2020-04-03 2020-04-03 Bridge structure damage positioning method based on cross correlation of axle signals Pending CN111397821A (en)

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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106802222A (en) * 2017-01-13 2017-06-06 重庆大学 A kind of bridge damnification diagnostic method based on Vehicle-Bridge Coupling System
CN107167559A (en) * 2017-08-01 2017-09-15 暨南大学 A kind of method that beam type bridge structure damage reason location is carried out using dual sensor
CN108982029A (en) * 2018-06-01 2018-12-11 大连理工大学 The damage positioning method of beam type bridge structure based on move vehicle
CN109839440A (en) * 2019-03-20 2019-06-04 合肥工业大学 A kind of bridge damnification localization method based on standing vehicle testing

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106802222A (en) * 2017-01-13 2017-06-06 重庆大学 A kind of bridge damnification diagnostic method based on Vehicle-Bridge Coupling System
CN107167559A (en) * 2017-08-01 2017-09-15 暨南大学 A kind of method that beam type bridge structure damage reason location is carried out using dual sensor
CN108982029A (en) * 2018-06-01 2018-12-11 大连理工大学 The damage positioning method of beam type bridge structure based on move vehicle
CN109839440A (en) * 2019-03-20 2019-06-04 合肥工业大学 A kind of bridge damnification localization method based on standing vehicle testing

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Application publication date: 20200710