CN108444662A - A kind of bridge damnification on-line monitoring method based on degree/day effect - Google Patents
A kind of bridge damnification on-line monitoring method based on degree/day effect Download PDFInfo
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- CN108444662A CN108444662A CN201810231408.8A CN201810231408A CN108444662A CN 108444662 A CN108444662 A CN 108444662A CN 201810231408 A CN201810231408 A CN 201810231408A CN 108444662 A CN108444662 A CN 108444662A
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- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
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Abstract
The invention discloses a kind of bridge damnification on-line monitoring method based on degree/day effect, includes that the strain measurement data of bridge on-line monitoring system are handled, obtain degree/day strain-responsive；Secondly, the phase difference of the degree/day response between different sensors is calculated, and is changed according to the amplitude of degree/day response, judges bridge damnification position and degree of injury.For the present invention using degree/day as forced excitation source, i.e. expand with heat and contract with cold movement of the bridge floor under degree/day effect since degree/day period of change is slow, thus can substantially reduce the sample frequency of monitoring system, to reduce the hardware and software cost of system；In addition, judging to damage using the phase difference of degree/day response, the limited defect of strain transducer measurement range can be effectively made up, improves the accuracy that damage differentiates；Based on above-mentioned two feature, the present invention is highly suitable for applying in bridge on-line detecting system close to engineering.
Description
Technical field
The present invention relates to Bridge Condition Monitoring technical field, specially a kind of bridge damnification based on degree/day effect is online
Monitoring method.
Background technology
With China's economic development, the investment and development scale of infrastructure are increasing, correspondingly, structure safety
Problem also highlights, and the safety of wherein bridge structure has obtained universal attention.
Science of bridge building often has big investment, design cycle length, use environment severe, easily by ambient atmosphere, temperature, humidity
And weather influence and deterioration and long-term the features such as bearing dynamic load occurs, the safety of bridge structure is detected and is assessed
Just it is very necessary.According to related specifications, the responsible party of bridge structure needs that professional is organized regularly to examine bridge
The safe class of bridge is surveyed and assesses, detection method mainly carries out marking evaluation according to the result of site inspection, this
Way relies heavily on the subjective factor of evaluation person.In order to reduce the subjectivity of people, increase the accuracy of security evaluation, mesh
It is preceding in bridge machinery, have some mechanical properties and work for using the technological means such as contemporary optics, ultrasonic wave, electromagnetism to bridge
It is detected, but these technologies can only provide local detect and diagnose information, and cannot provide whole and comprehensive as performance
Full bridge structure health detection and assessment information, and these detection methods are difficult that can accomplish online continuous real-time monitoring.
Comprehensive monitoring is the developing direction of bridge machinery.Melt part in whole detection technology in one, collection in real time with automatically
The application of the bridge comprehensive monitor system of monitoring function, has adapted to comment bridge Working Status Monitoring and overall security
The needs estimated.As the attention degree of bridge structure safe and durability is continuously improved in people, bridge comprehensive monitoring technology
It is rapidly developed, has been mounted with that a variety of test equipments are monitored bridge on some bridges in the world at present.
Test data being obtained to comprehensive monitoring, meeting certain condition, which is handled, can obtain several bridge structures
Inherent feature amount, these characteristic quantities reflect the inherent characteristic of bridge itself, with external factor（Such as humiture, wind, vehicular load
Deng）Unrelated, only when damage, lesion occurs in bridge structure, these characteristic quantities can just change, therefore by monitoring in real time
These characteristic quantities have also just monitored damage, the pathological condition of bridge in real time.
Generally use modal analysis method obtains these characteristic quantities.According to theory of structural dynamics, bridge structure certain
Unit oneThe kinetic model at place is：
（1）
Wherein,Respectively unitQuality coefficient, damped coefficient and the stiffness coefficient at place,For unitBy
The total external force arrived.Formula（1）Laplace transformation general solution be：
（2）
Formula（2）InFor unitThe intrinsic frequency at place,For unitThe attenuation rate at place.Work as unitDamage or disease occur for place
When evil, quality coefficientIt is general constant, and damped coefficientAnd stiffness coefficientIt can change, so as to cause intrinsic frequencyAnd attenuation rateIt changes.
According to finite element analysis theory, the kinetic model of entire bridge is the overlapped in series of each unit model, therefore,
Entire bridge structure has infinite a intrinsic frequency, and low-frequency vibration part therein is the major part of bridge vibration, in engineering
Comprehensive monitoring be unfolded mainly around the measurement of the low-frequency vibration information of bridge structure, pass through and monitor low-frequency vibration information
Situation of change judges whether bridge has damage.This thought derives many damage diagnosis methods, such as：Modal frequency, coordinate
Modal criterion, modal curvature, modal strain energy, Modal Flexibility, residual force, frequency response function etc., wherein modal strain energy side
Method is more sensitive to the identification of damage.
Above-mentioned various modal analysis methods are required for driving source to bridge structure application incentive action to obtain vibration information,
Traditional way is to travel Crossing the bridge noodles using vehicle, forms a shock response, and then obtain the lower mode information of bridge, this
Kind way precision is higher, but needs to suspend traffic.Another way is environmental excitation（Wind effect, load etc.）Approximation is regarded as
White-noise excitation source（I.e. amplitude be 1, frequency content for no limit for width signal）, lower mode is obtained by the response analysis of bridge
Information, it is clear that the error of this method is larger.
By formula（2）As can be seen that model analysis is to judge structure by monitoring the kinetic model variation of bridge structure
No to have damage, this assessment is of overall importance, because any type of damage of structure can all change formula（2）In model coefficient（）, and then make intrinsic frequencyIt changes.But in Practical Project, it is ten to carry out effective model analysis
Divide difficulty：On the one hand, the resonant frequency for obtaining bridge structure needs higher hardware condition（Number of sensors, position,
Dedicated frequency analyzer etc.）, on the other hand, sensing data is needed to carry out very delicate processing.These factors limit
Popularization and application of the modal analysis technique in engineering.
Traditional modal analysis needs to carry out vibration analysis using acceleration transducer.In order to simplify problem, Practical Project
In often directly utilize strain transducer[5]The state of bridge is assessed with the measurement data of amount of deflection sensor, for example, going
After falling Load Effects, big saltus step should not occur for the data of strain transducer and amount of deflection sensor, if occurring, judge bridge
There is structural damage.Although this way is simple, there is also some defects, on the one hand, strain transducer is to structural damage
It is more sensitive, but its sphere of action is limited, needs intensive strain transducer array that could effectively monitor damage（Or using long mark
Away from strain transducer）；On the other hand, although conventional amount of deflection sensor can overcome the disadvantages that strain transducer sphere of action is limited and lack
Fall into, but it respond it is slow, cannot timely susceptible lesions, small damage is even detected less than.
Invention content
The purpose of the present invention is to provide a kind of bridge damnification on-line monitoring methods based on degree/day effect, are answered with regard to difference
Become sensor, the phase difference under degree/day effect can reflect model via dynamical response parameter（）Change
Change, to solve the problems, such as that strain transducer sphere of action mentioned above in the background art is limited.
To achieve the above object, the present invention provides the following technical solutions：A kind of bridge damnification based on degree/day effect exists
Line monitoring method includes the following steps：
S1：According to the strain transducer Real-time Monitoring Data of bridge monitoring system the day temperature in data is extracted using wavelet transformation
Spend response signal；
S2：According to the degree/day response signal that processing obtains, the phase difference and difference in magnitude between two sensors are calculated, comprehensive the two
Information judges bridge damnification state.
Preferably, the specific method is as follows by the step S1：
S1.1：Several strain transducers are installed under bridge face and constitute measurement array, monitor the strain data in bridge face in real time；
S1.2：Due to including the information of car load in strain data, and load is often in the side of degree/day response curve, directly
It connects to be filtered measuring signal and can cause degree/day response curve overall offset, data prediction need to be carried out, that is, utilize as follows
Method by load with the both sides that are distributed in degree/day response curve：
In formulaFor load judgment threshold, it is taken as,For the difference between the Wave crest and wave trough of degree/day response；
S1.3：Data prediction result is filtered using wavelet transformation, degree/day response data is extracted, first with as follows
Matlab sentences carry out wavelet decomposition to preprocessed data：[C_stress,L_stress]=wavedec(stress_array,
nlay,'db6');Stress_array is pretreated Sensor monitoring data in formula；Again to returned data C_stress,
L_stress carries out signal reconstruction, and it is degree/day response to obtain the low frequency part stress_low in signal：
stress_low=wrcoef('a',C_stress,L_stress,'db6',nlay);
Preferably, the specific method of the step S2 is：
S2.1：The phase difference of two sensor measurement signals is calculated using degree/day response signal, it is contemplated that phase difference calculating
Complexity replaces phase difference calculating with the direction cosines of two data vectors：
S2.2：Difference in magnitude calculates, and difference in magnitude is calculated to be carried out using following formula：
,Relative magnitude in data window is poor；
S2.3：Integrated phase difference and difference in magnitude obtain damage criterion, due toAnd variation logical ANDPhase
Instead, which need to be mapped between [0,1], and changes logical ANDIt is identical：
In formulaHave complete since phase difference reflects " distortion " degree in bridge face to a certain extent for weight factor
Property under a bureau, and difference in magnitude then reflects the local attribute of bridge face variation, therefore, weight factor will generally obtain more larger, work
It is taken as 0.8 in journey example；
In formulaIllustrate that phase difference and difference in magnitude change greatly when its value is larger for faulted condition index, damage generation
Possibility is larger；And when being worth smaller, then situation is on the contrary, judge that the threshold value of faulted condition can determine as the case may be, generally
A value between desirable 0.5~1, can not also given threshold, directly general、It is come out as monitoring parameter real-time display.
Compared with prior art, the beneficial effects of the invention are as follows：
1, based on the bridge damnification on-line monitoring method of degree/day effect, compared with traditional vibration-mode analysis method, this
Invention responds the breakdown diagnosis for carrying out structure using degree/day, need not apply additional excitation source excitation bridge to bridge and shake
It is dynamic, it mustn't also need to enforce traffic control；Moreover, sample frequency can obtain it is very low, convenient for system acquisition and processing data, greatly
The big hardware and software cost for reducing system.
2, based on the bridge damnification on-line monitoring method of degree/day effect, the amplitude of strain transducer degree/day response and
The variation of phase reflects the variation of model parameter, overcomes the limited defect of strain transducer sphere of action, effectively improves damage
Hinder the accuracy of analysis.
Description of the drawings
The invention will be further described referring now to the drawings, wherein：
Fig. 1 is data processing principle block diagram of the present invention；
Fig. 2 is strain transducer scheme of installation of the present invention；
Fig. 3 is Dongchuan river of the present invention bridge often across the sensor mounting location of a width；
Fig. 4 is the raw-data map of two strain transducer YLL442, YLL443 of the present invention；
Fig. 5 is the degree/day response data figure that the present invention is extracted from two strain transducer YLL442, YLL443；
Fig. 6 is the phase angle difference figure of two sensors degree/day response signal of the present invention；
Fig. 7 is the difference in magnitude figure of two sensors degree/day response signal of the present invention；
Fig. 8 is the damage criterion figure that the present invention is integrated by phase angle difference and difference in magnitude.
Specific implementation mode
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation describes, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
Embodiment one：
In the embodiment of the present invention：A kind of bridge damnification on-line monitoring method based on degree/day effect, includes the following steps：
The first step：Bridge on-line monitoring system is established, acquires the strain data in Bridge Beam face in real time；Real-time Monitoring System of Bridges master
It to be made of three parts such as sensing system, data transmission system, data processing system, wherein installed in each box beam
Several strain transducers, sensing data are acquired by data transmission system, transmit data processing system, constitute data
Library；
Second step：From strain transducer extracting data degree/day response data；Include load in strain transducer data-signal
Response, degree/day response, shrinkage and creep and sensor itself the signals such as noise；Wherein, degree/day response is to shine upon
Cause the strain that bridge expands with heat and contract with cold and causes, period to be fixed, but can be followed since amplitude changes no rule, in day
When temperature-responsive is extracted, it should consider filtering out for the signals such as load response, noise, also to take into account the information of degree/day response signal
Loss, simultaneously as the present invention is to differentiate damage based on phase difference, and traditional filtering method can more or less cause
Phase change, therefore, the extracting method of degree/day response data can only use singular value decomposition method（SVD）Or wavelet decomposition
（wavelet）The methods of, degree/day response data is extracted using wavelet-decomposing method in the present invention；
Assuming that certain two strain transducer、Data sequence in data window is、 , number
1~3 day data is usually taken according to the length of window；Since load response is typically to be superimposed upon a side direction of degree/day response, because
This needs to pre-process sensing data, and load response is made to be evenly distributed on the both sides of degree/day response curve；Pretreatment
Method is：
（3）
In formulaFor the corresponding judgment threshold of load, the virtual value of degree/day response is can be taken as, i.e.,,For day
Difference between the Wave crest and wave trough of temperature-responsive can take previously according to sensor signal and determine initial value, wait for subsequently obtaining degree/day response
It calculates afterwards and updates this threshold value；
What pretreatment obtainedDegree/day response is obtained through Wavelet decomposing and recomposing, using DB6 small echos, wavelet-order is taken as 4,
Low frequency coefficient after transformation is, willReconstruct obtains low frequency signal, due to being 1~3 day data,In the year temperature-responsive that includes, the slowly varying factor of shrinkage and creep it is negligible, therefore,It is considered as day
Temperature responsive signal；
Third walks：Degree/day response data is handled, the phase difference and difference in magnitude of adjacent strain transducer are obtained；According to dynamic
Theory of mechanics, for formula（1）Shown in second-order system, it is assumed that degree/day is actuated to, then the output of strain transducer
SignalLaplace transformation be：
（4）
In formula：For structural unitTransmission function,Laplace for degree/day excitation is converted,For degree/day
Frequency, i.e., 1/ day；Formula（4）In steady-state gain be, i.e. the Amplitude Ration of output response signal and degree/day pumping signal
For,PhaseIt can be by unitTransmission functionIt finds out：
（5）
4th step：Due to the frequency of degree/day signalBe it is fixed, therefore, output signal（That is strain transducer measuring signal）
Amplitude and phase only and unitModel parameter（）It is related, when structure, which exists, to be damaged, will certainly cause
Model parameter（）It changes, and then influences the amplitude and phase of output signal；According to Modal Analysis Theory,
Transmission function between two sensors reflects the state of works between the two, and the variation of phase difference and transmission function
It is associated, therefore phase difference reflects the state change of works between two sensors, this feature solves strain transducer
The limited defect of sphere of action；Directly utilize formula（5）Solve phaseCan be very complicated, here two are replaced using direction cosines
A strain transducer degree/day responseBetween phase angle difference：
（6）
In formulaPhase difference between as two strain transducers, the value of direction cosines, and phase angle is bigger
Its value is smaller, needs to be converted with following formula thus：
（7）
Difference in magnitude is then calculated using following formula：
（8）
I.e. maximum amplitude is poor in the difference of the current measurement value of two sensors divided by data window, using the relative difference as difference in magnitude
Parameter：According to formula（4）, formula（5）Dynamic analysis as a result, phase difference and difference in magnitude and structure finite element node kinetic simulation
Shape parameter is related, thus phase difference has then reacted the transmission pass of the works between two sensor mounting locations with difference in magnitude
The situation of change of system, phase difference and difference in magnitude has then reacted the situation of change of this transitive relation, and the variation of transitive relation is then
The state change of works is reflected, therefore, by monitoring the situation of change of two strain transducer phase differences and difference in magnitude just
It can carry out the breakdown diagnosis of works.
Embodiment two：
As soon as being described based on above-described embodiment, the complete data handling procedure of the present invention is as shown in Figure 1, each section in block diagram below
Content is made one and is discussed in detail：
Step 1：Strain transducer is installed；Same beam span centre, 1/4 passed across, 3/4 strain for installing across place 3 same models
Sensor（As shown in Figure 2）；After first value calibration, signal is accessed into data acquisition module, being wirelessly transmitted to data by acquisition module puts down
Platform is processed and displayed；Data sampling rate fixation is set as 30 minutes（Due to being acquisition degree/day effect data, sampling here
Rate can suitably relax, and can lower the requirement of monitoring platform data storage in this way）；
Step 2：Test data path；Show whether sensing data, artificial judgment data collecting system work by data platform
Normally；
Step 3：Data prediction；Usual strain transducer signal includes load response, temperature-responsive, noise etc., and Fig. 4 is provided
The original signals of two strain transducers；It can be clearly seen that load is responded from signal waveform（Burr signal in figure）And day
Temperature-responsive（The tempolabile signal that the period is 24 hours in figure）, since burr is located substantially on the upside of degree/day curve, directly
Degree/day response can be caused to move up filtering, it is therefore desirable to utilize formula（3）Burr is evenly distributed on degree/day response curve
Both sides；Three strain transducer measuring signals in Fig. 2 obtain new data sequence after pretreatment,Wherein,For data window length；
Step 4：The extraction of degree/day signal；To the data obtained after pretreatmentCarry out small echo
Transformation and signal reconstruction, using DB6 small echos, Decomposition order nlay is taken as 4, then wavelet decomposition can use following matlab sentences
It realizes：
[C_stress,L_stress]=wavedec(stress_array,nlay,'db6');
Wherein：Stress_array is the data sequence obtained after above three pre-processes's
Any one, C_stress, L_stress are the wavelet coefficient returned and wavelet coefficient length；By return parameters C_stress, L_
Stress can reconstruct data sequence using following matlab sentencesIn low frequency part：
stress_low=wrcoef('a',C_stress,L_stress,'db6',4);
Stress_low is the degree/day response signal extracted、、；Two strain transducers in Fig. 4 are surveyed
Measure that signal is preprocessed, the degree/day response signal after wavelet filtering is as shown in Figure 5；
Step 5：Phase difference, difference in magnitude between calculating two sensors；Utilize formula（6）Calculate two degree/day response signals、Direction cosines：
Equally、Between direction cosines be：
Recycling formula（7）Above-mentioned direction cosines are converted to phase angle change parameter：
Utilize formula（8）Calculate two degree/day response signals、Between difference in magnitude be：
Equally,、Between difference in magnitude be：
Step 6：Breakdown diagnosis；Using weight factor compromise phase difference and difference in magnitude.Due to phase difference reflect two sensors it
Between global information, therefore, in integrated phase difference and difference in magnitude, phase difference will take larger power:
HereFor faulted condition index；When its value is larger, illustrate that phase difference and difference in magnitude change greatly,
It is larger to damage the possibility occurred；And when being worth smaller, then situation is opposite；Judge that the threshold value of faulted condition can be as the case may be
It determines, a value between generally desirable 0.5~1；It can not also given threshold, directly generalAs monitoring parameter reality
When show.
Embodiment three：
It is described based on above-described embodiment one, embodiment two, illustrates the present invention so that Xin protects Dongchuan river bridge of highway as an example
Damage estimate of situation；The bridge be 6 span continuous box beam bridges, main span third across, the 4th across be equipped with 4*3*2*2=48 strain
Sensor, wherein often across left width it is identical with right width installation site（As shown in Figure 3）；
By taking YLL442, YLL443 therein as an example, the artificial tightening state for changing sensor is changed with simulating stress state
Situation, the primary monitoring datas of two sensors is as shown in figure 4, the degree/day response letter extracted after preprocessed and wavelet filtering
Number as shown in Figure 5；Phase difference is carried out to the two sensors and difference in magnitude calculates, result difference is as shown in Figure 6, Figure 7；Finally
The faulted condition index that synthesis goes out is as shown in Figure 8；There is the place that threshold value transfinites at one in fig. 8, and just corresponds to stress at this
The change of sensor tightening state causes phase to change.
In summary：Bridge damnification on-line monitoring method provided by the invention based on degree/day effect, shakes with traditional
Dynamic modal analysis method is compared, and the present invention responds the breakdown diagnosis for carrying out structure using degree/day, need not apply to bridge
Additional excitation source excitation bridge vibration mustn't also need to enforce traffic control；Moreover, sample frequency can obtain it is very low, just
In system acquisition and processing data, the hardware and software cost of system is greatly reduced；In addition, the width of strain transducer degree/day response
The variation of value and phase reflects the variation of model parameter, overcomes the limited defect of strain transducer sphere of action, effectively carries
The accuracy of high breakdown diagnosis.
The foregoing is only a preferred embodiment of the present invention, but scope of protection of the present invention is not limited thereto,
Any one skilled in the art in the technical scope disclosed by the present invention, according to the technique and scheme of the present invention and its
Inventive concept is subject to equivalent substitution or change, should be covered by the protection scope of the present invention.
Claims (3)
1. a kind of bridge damnification on-line monitoring method based on degree/day effect, which is characterized in that include the following steps：
S1：According to the strain transducer Real-time Monitoring Data of bridge monitoring system the day temperature in data is extracted using wavelet transformation
Spend response signal；
S2：According to the degree/day response signal that processing obtains, the phase difference and difference in magnitude between two sensors are calculated, comprehensive the two
Information judges bridge damnification state.
2. a kind of bridge damnification on-line monitoring method based on degree/day effect as described in claim 1, which is characterized in that institute
Stating step S1, the specific method is as follows：
S1.1：Several strain transducers are installed under bridge face and constitute measurement array, monitor the strain data in bridge face in real time；
S1.2：Due to including the information of car load in strain data, and load is often in the side of degree/day response curve, directly
It connects to be filtered measuring signal and can cause degree/day response curve overall offset, data prediction need to be carried out, that is, utilize as follows
Method by load with the both sides that are distributed in degree/day response curve：
In formulaFor load judgment threshold, it is taken as,For the difference between the Wave crest and wave trough of degree/day response；
S1.3：Data prediction result is filtered using wavelet transformation, degree/day response data is extracted, first with as follows
Matlab sentences carry out wavelet decomposition to preprocessed data：[C_stress,L_stress]=wavedec(stress_array,
nlay,'db6');Stress_array is pretreated Sensor monitoring data in formula；Again to returned data C_stress,
L_stress carries out signal reconstruction, and it is degree/day response to obtain the low frequency part stress_low in signal：
stress_low=wrcoef('a',C_stress,L_stress,'db6',nlay)。
3. a kind of bridge damnification on-line monitoring method based on degree/day effect as described in claim 1, which is characterized in that institute
The specific method for stating step S2 is：
S2.1：The phase difference of two sensor measurement signals is calculated using degree/day response signal, it is contemplated that phase difference calculating
Complexity replaces phase difference calculating with the direction cosines of two data vectors：
S2.2：Difference in magnitude calculates, and difference in magnitude is calculated to be carried out using following formula：
,Relative magnitude in data window is poor；
S2.3：Integrated phase difference and difference in magnitude obtain damage criterion, due toAnd variation logical ANDPhase
Instead, which need to be mapped between [0,1], and changes logical ANDIt is identical：
In formulaThere is the overall situation since phase difference reflects " distortion " degree in bridge face to a certain extent for weight factor
Attribute, and difference in magnitude then reflects the local attribute of bridge face variation, therefore, weight factor will generally obtain more larger, engineering
0.8 is taken as in example；
In formulaIllustrate that phase difference and difference in magnitude change greatly when its value is larger for faulted condition index, damage generation
Possibility is larger；And when being worth smaller, then situation is on the contrary, judge that the threshold value of faulted condition can determine as the case may be, generally
A value between desirable 0.5~1, can not also given threshold, directly general、It is come out as monitoring parameter real-time display.
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| CN109002673A (en) * | 2018-10-08 | 2018-12-14 | 哈尔滨工业大学 | A kind of bridge foundation washout recognition methods based on vehicle braking percussion |
| CN110147781A (en) * | 2019-05-29 | 2019-08-20 | 重庆交通大学 | Bridge vibration mode based on machine learning visualizes damnification recognition method |
| CN110487578A (en) * | 2019-08-28 | 2019-11-22 | 湘潭大学 | Girder construction damnification recognition method based on end reaction and strain |
| CN110501126A (en) * | 2019-08-28 | 2019-11-26 | 湘潭大学 | Girder construction damnification recognition method based on end reaction and amount of deflection curvature |
| CN111931265A (en) * | 2020-06-23 | 2020-11-13 | 山西省交通科技研发有限公司 | Automatic generation method of disease development map of girder bridge girder |
| CN113033509A (en) * | 2021-05-21 | 2021-06-25 | 中铁大桥科学研究院有限公司 | Method and equipment for monitoring and identifying temperature effect separation data of 5G-mode cable-stayed bridge |
| CN113175987A (en) * | 2021-04-09 | 2021-07-27 | 东南大学 | Bridge dynamic characteristic abnormity early warning method considering environment temperature variation |
| CN113420362A (en) * | 2021-08-25 | 2021-09-21 | 深圳市城市交通规划设计研究中心股份有限公司 | Damage identification method and device suitable for time-varying medium-small span bridge |
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