CN109992815A - A kind of support accumulative displacement calculation method based on relevance rain-flow counting - Google Patents
A kind of support accumulative displacement calculation method based on relevance rain-flow counting Download PDFInfo
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Abstract
The support accumulative displacement calculation method based on relevance rain-flow counting that the invention discloses a kind of, is related to bridge monitoring analysis field, comprising: obtains bridge health monitoring system ambient temperature data tempi,originAnd its corresponding bridge pad dynamic respond data in time;Based on least square method, the linear correlation sexual intercourse between environment temperature and support displacement is obtained, separates load response, obtains the support displacement response under the influence of environment temperature and train load;Accumulative support displacement amount under ambient temperature effect is calculated using difference summation, the support accumulative displacement amount under the influence of train load is calculated using rain flow method, the two is summed to obtain the total accumulative displacement of support.
Description
Technical field
The present invention relates to bridge monitoring analysis fields, and in particular to a kind of support based on relevance rain-flow counting is accumulative
It is displaced calculation method.
Background technique
Bridge pad connects the upper and lower part structure of bridge, is the important primary structure member of bridge, the working condition of support is straight
It connects and is related to the integrally-built safety of bridge and durability.In the prior art, the form of bridge pad is numerous, work shape
State and service life are influenced by factors such as construction technology, material aging, environment and vehicular loads, only rely on support
Appearance and management and maintenance experience, it is difficult to which the internal exergy dissipation of accurate judgement support injures aging degree of fatigue, needs tired in conjunction with support
The operating status of meter displacement Scientific evaluation support.
Support accumulative displacement is the important finger of measurement bridge pad working condition and service life during bridge operation
The reliable basis of the management and maintenance and maintenance replacement of mark and bridge pad.However, adding up position for support both at home and abroad at present
The research that accurately calculates moved still has some deficits, excessively coarse in processing means.
Summary of the invention
In view of the deficiencies in the prior art, the purpose of the present invention is to provide one kind to be based on relevance rain-flow counting
Support accumulative displacement calculation method, can more existing calculation method higher computational accuracy is provided.
To achieve the above objectives, the technical solution adopted by the present invention is that:
A kind of support accumulative displacement calculation method based on relevance rain-flow counting, comprising the following steps:
S1, bridge environment temperature data temp is obtained respectivelyi,originAnd bridge pad dynamic respond data, wherein i is indicated
The measurement position of the ambient temperature data, and by ambient temperature data and bridge pad dynamic respond data in time into
Row association;
S2, it is based on least square method, obtains the linear correlation sexual intercourse between environment temperature and support displacement, obtains environment
Support displacement response under the influence of temperature, the support displacement under the influence of isolating train load in bridge pad dynamic respond
Response;
S3, the accumulative support displacement amount under ambient temperature effect is calculated using difference summation, using rain flow method meter
The support accumulative displacement amount under the influence of train load is calculated, the two is summed to obtain the total accumulative displacement of support.
Based on the above technical solution, in step s 2, data are pre-processed using probabilistic method,
Eliminate thundering observed data.
Based on the above technical solution, described that data are pre-processed using probabilistic method, it eliminates abnormal
Monitoring data process specifically includes:
Difference e is divided into d section in amplitude section, d > 25 carries out frequency histogram statistics, records each section
Support displacement frequency p in lengthi, i expression Data Position, i=1,2,3 ..., d;The bridge when difference e is measurement every time
Support displacement;
Each section upper bracket displacement frequency p is calculated by MATLABiAnd the various distribution functions on the siding-to-siding block length
Probability density integrated value frejBetween residual error ri=pi-frei, (i=1,2 ..., d), use vector ri2 norms square
With i.e. error sum of squaresCompatible degree between the two is measured, which is determined with error sum of squares α minimum value
The optimum probability of sample is distributed.
Based on the above technical solution, the support under the influence of the calculating train load using rain flow method is tired
Count displacement the step of include:
Vibration and strain data when being passed a bridge by train calculated the time of vehicle;
Record train crosses the support displacement response data of vehicle period;
Each support displacement data for spending the vehicle period are counted using rain flow method, obtain accumulative displacement amount.
Based on the above technical solution, the support under the influence of the calculating train load using rain flow method is tired
Count displacement the step of include:
Intercept each support displacement monitoring data f for spending the vehicle period(wy, train), k=1,2,3 ..., N, k is the serial number that is open to traffic, and N is
The number that is open to traffic of a period of time crosses vehicle support displacement amplitude variation range delta wy using rain flow method statistics singleii, ii=
1,2,3 ..., M, M are rain flow method support displacement amplitude number, KiiFor i-th i support displacement amplitude Δ wyiiOccur
Number, the then accumulative support displacement under the influence of single train are as follows:
The accumulative support displacement under the influence of train is then calculated as follows:
Based on the above technical solution, the step S2 is specifically included:
Based on least square method, the linear correlation sexual intercourse between environment temperature and support displacement is obtained, is denoted as:
fWy, temp=a0+a1×tempi,origin, i=1,2,3 ..., n
E=fwy,origin-fWy, fit
Wherein, a0,a1For coefficient, intercept and slope, f are respectively indicatedWy, tempIndicate the support displacement under the influence of temperature, e
For fwy,originAnd fWy, tempBetween difference.
Based on the above technical solution, coefficient a0,a1It calculates according to the following formula:
Based on the above technical solution, it in the step S3, is calculated under ambient temperature effect using difference summation
Accumulative support displacement amount be calculated by the following formula:
diffi=xi+1-xi, i=1,2,3 ..., n-1;
Wherein, the support displacement f under the influence of temperatureWy, tempFirst-order difference value be diffi, i=1,2,3 ..., n-1,
Displacement_temp is the support accumulative displacement amount under the influence of temperature.
Compared with the prior art, the advantages of the present invention are as follows:
(1) the support accumulative displacement calculation method of the invention based on relevance rain-flow counting supervises original support displacement
Measured data separates load response using association analysis method, and rain flow method and calculus of finite differences are applied to support and add up position
Shifting amount calculates, to obtain more accurate support accumulative displacement, provides for bridge health monitoring abutment safety early warning more existing
Technology is more detailed.
(2) the support accumulative displacement calculation method of the invention based on relevance rain-flow counting can pass through programming software
MATLAB sequencing is realized, easy to operate, has stronger practicability.This method is based on bridge pad and is displaced original prison
Measured data, obtaining accurate support accumulative displacement amount by relevance and rain-flow counting analysis can be widely applied to various bridges
The support displacement of type calculates, therefore has very strong engineering and research application prospect.
Detailed description of the invention
Fig. 1 is environment temperature and support displacement relevance schematic diagram in the embodiment of the present invention;
Fig. 2 a is the support displacement time-histories figure in the embodiment of the present invention under the first measuring point ambient temperature effect;
Fig. 2 b is the support displacement time-histories figure in the embodiment of the present invention under the second measuring point ambient temperature effect;
Fig. 3 is support displacement time-histories figure in the embodiment of the present invention;
Fig. 4 is support accumulative displacement time-histories figure in the embodiment of the present invention;
Fig. 5 is support displacement time-histories figure when typical single train crosses vehicle in the embodiment of the present invention;
Fig. 6 is the basic principle schematic of rain flow method in the embodiment of the present invention;
Fig. 7 is the support displacement histogram in the embodiment of the present invention under the influence of train load;
Fig. 8 is the support displacement spectrum in the embodiment of the present invention under the influence of train load.
Specific embodiment
Invention is further described in detail with reference to the accompanying drawings and embodiments.
Shown in Figure 1, it is accumulative that the embodiment of the present invention provides a kind of support based on relevance rain-flow counting of the invention
It is displaced calculation method, comprising the following steps:
Step 1: obtaining health monitoring systems environmental data and its in time corresponding support displacement response data, branch
Seat moves response data time-histories and uses fwy,originIt indicates, ambient temperature data time-histories uses tempI, origin, i=1,2 ..., nTable
Show.Wherein, i indicates that Data Position, n indicate data amount check.
Step 2: being based on least square method, the linear correlation sexual intercourse between environment temperature and support displacement is obtained, is denoted as:
fWy, temp=a0+a1×tempi,origin,i1,2,3,...,n
E=fwy,origin-fWy, fit
Wherein, a0,a1For coefficient, intercept and slope, f are respectively indicatedWy, tempSupport displacement under the influence of temperature, e are
fwy,originAnd fWy, tempBetween difference, coefficient a0,a1It calculates according to the following formula, it may be assumed that
It enables partial derivative be equal to 0, can obtain:
Step 3: abnormal data is eliminated using probabilistic method, to difference value vector ei(0 < i≤n) carries out statistical
Analysis is examined through fitting of distribution and K-S, and e obeys the normal distribution that mean value is 0, i.e. e~N (0, σ2).If the confidence of monitoring data
Section is [eu,ed], so that eu< ei< edMeet 99.99% fraction, the outlier found out other than e confidence interval is corresponding
Position locationj, j=1,2,3 ..., m, m are that difference falls in the data amount check other than confidence interval.
Then fraction are as follows:
P(eu< e < ed)=P (zd< e < zu)=F (zu)-F(zd)
In formula: F () is the fitting normal distyribution function of difference e.
Taking zu, zd is quantile and lower quantile on 0.0005, then corresponding fraction are as follows:
P(eu< ei< ed)=P (zd< e < zu)=1-0.0005 × 2=99.9%
At this point,
zu=F-1(1-0.0005), zd=F-1(0.0005)
In formula: F-1The inverse function of () fitting normal distyribution function.
Enable primary monitoring data fwy,origin、tempI, origin, i=1,2 ..., nIn position locationj, j=1,2,3 ..., m
Place is nan (null value), the support displacement data f after obtaining removal abnormal datawy。
Step 4: the support accumulative displacement under the influence of temperature is calculated using difference summation, the branch seat under the influence of temperature
Move fWy, tempFirst-order difference value be diffi, i=1,2,3 ..., n-1, then the support accumulative displacement amount under the influence of temperature be
Displacement_temp then has:
diffi=xi+1-xi, i=1,2,3 ..., n-1;
Step 5: each support displacement monitoring data f for spending the vehicle period of interception(wy, train), k=1,2,3 ..., N, k is the sequence that is open to traffic
Number, N is the number that is open to traffic of a period of time, and crosses vehicle support displacement amplitude variation range delta using rain flow method statistics single
wyii, ii=1,2,3 ..., M, M are rain flow method support displacement amplitude number, KiiFor i-th i support displacement amplitude Δ
wyiiThe number of generation, the then accumulative support displacement under the influence of single train are as follows:
So the accumulative support displacement under the influence of train are as follows:
Step 6: support accumulative displacement displacement_all is calculated, it will be to the support accumulative displacement under the influence of temperature
Support accumulative displacement displacement_train under the influence of displacement_temp and train sums to obtain support tired
Meter displacement displacement_all.
Displacement_all=displacement_temp+displacement_train
Below by taking certain combined Yangtze Bridge real case as an example, illustrate that the present invention is based on relevance rain-flow countings
The specific steps of support accumulative displacement calculation method:
Certain combined Yangtze Bridge bridge lower part four-track line involved in the embodiment, top six-lane high speed are public
Road is combined highway and metro bridge.1290 meters of bridge overall length, main span is 630 meters, and span distribution is (90+240+630+240+90)
Rice, using three purlins, three rope face structure.Main truss is " N " shape truss structure, 17.1 meters of spacing of three pieces main truss center, purlin overall with 34.2
Rice, purlin is 15.5 meters high, 15 meters of internode length, is vertically all provided with cast steel movable bearing support at vertical and abutment pier, auxiliary pier between tower, beam.Tongling
Combined Yangtze Bridge support displacement monitoring is the important component of its health monitoring systems, since bridge span is larger,
For girder under uneven environment temperature field and High-speed Train Loads, longitudinal support displacement is obvious.Support displacement point layout exists
0#, 6# Dun Chu, upstream and downstream are symmetrical.Health monitoring systems use magnetostrictive displacement meter, sample frequency 1Hz, essence
Degree is 0.01mm.
(1) based on step S1 to the combined Yangtze Bridge 0# pier upstream and downstream support displacement in the Tongling and corresponding environment
Temperature data acquisition, the sample frequency of equipment are 1Hz.It chooses fourth quarter support displacement in 2017 and environment temperature carries out
Analysis.
(2) environment temperature and support displacement are calculated using principle of least square method based on the monitoring data in the first step
Between linear correlation sexual intercourse it is as shown in Figure 1;Support displacement time-histories is as schemed under the influence of the temperature isolated by relevance relationship
Shown in 2a, Fig. 2 b, relevance parameter information is as shown in table 1.
Relevance parameter between 1 environment temperature of table and support displacement
(3) based on the association sexual intercourse in second step, abnormal data is eliminated using probabilistic method, to difference value vector
ei(0 < i≤n) is for statistical analysis, examines through fitting of distribution and K-S, the normal distribution that e obedience mean value is 0, i.e. e~N (0,
σ2).If the confidence interval of monitoring data is [eu,ed], so that eu< ei< edMeet 99.99% fraction, finds out e confidence area
Between other than the corresponding position location of outlierj, j=1,2,3 ..., m, m are that difference is fallen in other than confidence interval
Data amount check.
Then fraction are as follows: P (eu< e < ed)=P (zd< e < zu)=F (zu)-F(zd), in formula: F () is difference e
It is fitted normal distyribution function.
Taking zu, zd is quantile and lower quantile on 0.0005, then corresponding fraction are as follows:
P(eu< ei< ed)=P (zd< e < zu)=1-0.0005 × 2=99.9%
At this point, zu=F-1(1-0.0005), zd=F-1(0.0005), in formula: F-1() is fitted the anti-of normal distyribution function
Function.Enable primary monitoring data fWy, origin、tempI, origin, i=1,2 ..., nIn position locationj, at j=1,2,3 ..., m
For nan (null value), obtain removing the support displacement data f after abnormal datawy, as shown in Figure 3.
Step 4: the support accumulative displacement under the influence of temperature is calculated using difference summation, the branch seat under the influence of temperature
Move fWy, tempFirst-order difference value be diffi, i=1,2,3 ..., n-1, then the support accumulative displacement amount under the influence of temperature be
Displacement_temp then has:
diffi=xi+1-xi, i=1,2,3 ..., n-1;
Support displacement monitoring data f is calculated separately using difference accumulation methodwy,originIt is supervised with support displacement under the influence of temperature
Measured data fWy, tempAccumulative support displacement, as shown in Figure 4.
Step 5: each support displacement monitoring data f for spending the vehicle period of interception(wy, train), k=1,2,3 ..., N, k is the sequence that is open to traffic
Number, N is the number that is open to traffic of a period of time, and typical single train crosses vehicle period support displacement changing course as shown in figure 5, adopting
Vehicle support displacement amplitude variation range delta wy is crossed with rain flow method (Statistics is as shown in Figure 6) statistics singleii, ii=1,
2,3 ..., M, M are rain flow method support displacement amplitude number, KiiFor i-th i support displacement amplitude Δ wyiiTime occurred
It counts, then the accumulative support displacement under the influence of single train are as follows:
Accumulative support displacement under the influence of train are as follows:
Support displacement histogram under the influence of train load and support displacement spectrum such as Fig. 7, Fig. 8 under the influence of train load
It is shown.
Step 6: support accumulative displacement displacement_all is calculated, it will be to the support accumulative displacement under the influence of temperature
Support accumulative displacement displacement_train under the influence of displacement_temp and train sums to obtain support tired
Meter displacement displacement_all.
Displacement_all=displacement_temp+displacement_train
Fourth quarter accumulative support displacement amount is counted, as shown in table 2, support displacement is supervised using displacement difference summation
Measured data statistics, accumulative displacement amount 0# pier downstream are 36.55m, and 0# pier upstream is 35.26m, using based on relevance rain flowmeter
Number legally constituted authority meter accumulative displacement amount 0# pier downstreams be 28.07m, 0# pier upstream be 27.12m, by season accumulative displacement amount and it is effective when
Between the daily average displacement amount of available support, can predict that monitoring data lack with the support accumulative displacement amount that is averaged daily
Support accumulative displacement in time, to obtain the season estimation displacement of support.
Table accumulative displacement in second quarter statistical form
The present invention is not limited to the above-described embodiments, for those skilled in the art, is not departing from
Under the premise of the principle of the invention, several improvements and modifications can also be made, these improvements and modifications are also considered as protection of the invention
Within the scope of.The content being not described in detail in this specification belongs to the prior art well known to professional and technical personnel in the field.
Claims (8)
1. a kind of support accumulative displacement calculation method based on relevance rain-flow counting, which comprises the following steps:
S1, bridge environment temperature data temp is obtained respectivelyi,originAnd bridge pad dynamic respond data, wherein described in i expression
The measurement position of ambient temperature data, and ambient temperature data and bridge pad dynamic respond data are closed in time
Connection;
S2, it is based on least square method, obtains the linear correlation sexual intercourse between environment temperature and support displacement, obtains environment temperature shadow
Support displacement response under ringing, the support displacement response under the influence of isolating train load in bridge pad dynamic respond;
S3, the accumulative support displacement amount under ambient temperature effect is calculated using difference summation, is calculated and is arranged using rain flow method
Support accumulative displacement amount under the influence of vehicle load sums the two to obtain the total accumulative displacement of support.
2. the support accumulative displacement calculation method based on relevance rain-flow counting as described in claim 1, it is characterised in that:
In step S2, data are pre-processed using probabilistic method, eliminate thundering observed data.
3. the support accumulative displacement calculation method based on relevance rain-flow counting as claimed in claim 2, which is characterized in that institute
It states and data is pre-processed using probabilistic method, eliminate thundering observed data process and specifically include:
Difference e is divided into d section in amplitude section, d > 25 carries out frequency histogram statistics, records each section length
On support displacement frequency pi, i expression Data Position, i=1,2,3 ..., d;The branch of bridge when the difference e is measurement every time
Seat moves;
Each section upper bracket displacement frequency p is calculated by MATLABiAnd the various distribution function probability on the siding-to-siding block length are close
Spend integrated value frejBetween residual error ri=pi-frei, (i=1,2 ..., d), use vector ri2 norms quadratic sum, i.e. error
Quadratic sumCompatible degree between the two is measured, the optimal of the section sample determined with error sum of squares α minimum value
Probability distribution.
4. the support accumulative displacement calculation method based on relevance rain-flow counting as described in claim 1, which is characterized in that institute
State using rain flow method calculate train load under the influence of support accumulative displacement amount the step of include:
Vibration and strain data when being passed a bridge by train calculated the time of vehicle;
Record train crosses the support displacement response data of vehicle period;
Each support displacement data for spending the vehicle period are counted using rain flow method, obtain accumulative displacement amount.
5. the support accumulative displacement calculation method based on relevance rain-flow counting as claimed in claim 4, which is characterized in that institute
State using rain flow method calculate train load under the influence of support accumulative displacement amount the step of include:
Intercept each support displacement monitoring data f for spending the vehicle period(wy, train), k=1,2,3 ..., N, k is the serial number that is open to traffic, when N is one section
Between the number that is open to traffic, using rain flow method statistics single cross vehicle support displacement amplitude variation range delta wyii, ii=1,2,
3 ..., M, M are rain flow method support displacement amplitude number, KiiFor i-th i support displacement amplitude Δ wyiiThe number of generation,
The then accumulative support displacement under the influence of single train are as follows:
The accumulative support displacement under the influence of train is then calculated as follows:
6. the support accumulative displacement calculation method based on relevance rain-flow counting as described in claim 1, which is characterized in that institute
Step S2 is stated to specifically include:
Based on least square method, the linear correlation sexual intercourse between environment temperature and support displacement is obtained, is denoted as:
fWy, temp=a0+a1×tempi,origin, i=1,2,3 ..., n
E=fwy,origin-fWy, fit
Wherein, a0,a1For coefficient, intercept and slope, f are respectively indicatedWy, tempIndicate that the support displacement under the influence of temperature, e are
fwy,originAnd fWy, tempBetween difference.
7. the support accumulative displacement calculation method based on relevance rain-flow counting as claimed in claim 6, it is characterised in that: be
Number a0,a1It calculates according to the following formula:
8. the support accumulative displacement calculation method based on relevance rain-flow counting as described in claim 1, which is characterized in that institute
It states in step S3, the accumulative support displacement amount under ambient temperature effect is calculated using difference summation and is calculated by the following formula:
diffi=xi+1-xi, i=1,2,3 ..., n-1;
Wherein, the support displacement f under the influence of temperatureWy, tempFirst-order difference value be diffi, i=1,2,3 ..., n-1,
Displacement_temp is the support accumulative displacement amount under the influence of temperature.
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