CN109738220A - One kind being based on the associated sensors optimum placement method of more load case structural responses - Google Patents
One kind being based on the associated sensors optimum placement method of more load case structural responses Download PDFInfo
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Abstract
This application involves one kind to be based on the associated sensors optimum placement method of more load case structural responses, belongs to civil engineering works structure health monitoring sensor arrangement technical field.The application calculates the incidence relation under every kind of load case between each structural response the following steps are included: S1, obtain structural response under every kind of load case；S2, the synthesis incidence relation for determining each structural response under more load cases；S3, the associated region that the structural response under more load cases is determined with clustering method；S4, to obtain complete structural response information as principle, the layout points of sensor are determined based on the associated region of the structural response.It is helped to realize by the application and global monitoring is carried out to structure by limited Sensor, complete structural response information under more load cases can be obtained and obtain better result, to guarantee the validity and feasibility of monitoring.
Description
Technical field
The application belongs to civil engineering works structure health monitoring sensor arrangement technical field, and in particular to one kind is based on more lotuses
It carries duty construction and responds associated sensors optimum placement method.
Background technique
Monitoring structural health conditions, can be with based on monitoring data by being monitored for structural key position and ambient enviroment
The true response for obtaining real structure carries out monitoring in real time and diagnosis to civil infrastructure, can find the damage of structure in time
Hurt and assesses its safety.However, the measuring point of structural healthy monitoring system arrangement is limited, it is main according to finite element model early period point
It analyses the result obtained to be arranged, the measuring point of arrangement is possible to not be preferable position, while can not also obtain all components
Stress and node displacement, to be not enough to fully assess the safety of structure.
Domestic and foreign scholars have carried out relevant research for the preferred arrangement criterion of sensor, are generally mainly answered using stress
Become sensor and displacement sensor, proposes a variety of preferred arrangement criterion.It is directed to the sensor optimization cloth of key position at present
It sets, strain transducer method for arranging of some scholars based on structure multi-scale simulation and structure partial stress analysis determines structure
The strain transducer of middle key position is integrally monitored stress to part from structure, but this method only considered key
Position is not monitored the stress of remaining position.And in order to obtain the response at non-placement sensor, some scholars are based on
The smallest method of error of interpolatory fitting considers that the error of interpolatory fitting in section is minimum, according to the monitoring in placement sensor section
Information fits the response of section other positions, but the section that this method is chosen is still uncertain, and can not obtain different spaces position
The response set.In addition, some scholars propose the preferred arrangement for carrying out sensor based on the relevance between response, based on response association
Analysis carries out the arrangement of plane grid displacement structure sensor, can be based on layout points dynamic respond, be estimated using Partial Least Squares
The dynamic respond of remaining position is counted, but the method does not consider that the incidence relation between responding when loads change changes, so
With certain limitation when being directed to loads change.
The analysis domestic and foreign scholars of research by to(for) sensors optimum placement finds that current method becomes load case
Sensors optimum placement when change still has deficiency, can not carry out global monitoring to structure by limited Sensor.
Summary of the invention
To be overcome the problems, such as present in the relevant technologies at least to a certain extent, the application provides a kind of based on more load works
The associated sensors optimum placement method of condition structural response is helped to realize and is carried out entirely by limited Sensor to structure
Office's monitoring.
In order to achieve the above object, the application adopts the following technical scheme that
One kind being based on the associated sensors optimum placement method of more load case structural responses, and this method includes following step
It is rapid:
Structural response under every kind of S1, acquisition load case, calculates under every kind of load case between each structural response
Incidence relation；
S2, the synthesis incidence relation for determining each structural response under more load cases；
S3, the associated region that the structural response under more load cases is determined with clustering method；
S4, to obtain complete structural response information as principle, sensor is determined based on the associated region of the structural response
Layout points.
Further, the structural response under every kind of S1, acquisition load case calculates each described under every kind of load case
Incidence relation between structural response, comprising:
S11, the similitude that variation tendency between response is determined using structural response variation tendency incidence coefficient；
S12, the similitude that variation size between response is determined using structural response variation size incidence coefficient；
The similitude for changing size between the response that S13, basis are determined between the similitude and response of variation tendency, is judged every
Incidence relation under kind load case between each structural response.
Further, the structural response under every kind of S1, acquisition load case, calculates each under every kind of load case
Incidence relation between the structural response, specifically includes:
If X is m structural response matrixes of the structural response under the load action of n time step:
Wherein, xi=[xi(1)xi(2)…xi(n)]T (2)
In formula, xiRepresent the structural response i, x under n time step load actioni(k) representative structure responds i at k-th
Response when spacer step, i, k, m and n are the integer greater than zero, i≤m, k≤n；
Calculate structural response variation tendency incidence matrix, comprising:
To any two structural response i and j in structure, structural response variation tendency incidence coefficient rijAre as follows:
Wherein,
In formula, j is the integer greater than zero, j≤m；For structural response i and the total position of structural response j time series
It is poor to move；For structural response i and structural response j time series totality single order slope differences；For structural response i and knot
Structure responds j time series totality second order slope differences；
The then structural response variation tendency incidence matrix R of the m structural responses are as follows:
It calculates structural response and changes size incidence matrix, comprising:
Size incidence coefficient p is changed to the structural response of two structural responses i and j any in structureijAre as follows:
Wherein,
In formula, σiFor the variance of structural response i time series；σjFor the variance of structural response j time series；cov(xi,
xj) be structural response i and structural response j time series covariance；It is average in the response of n time step for structural response i
Value；For structural response j n time step response average value；
Then the structural response of the m structural responses changes size incidence matrix P are as follows:
Calculate the comprehensive incidence matrix of structural response, comprising:
Given structural response trend similarity threshold λ, obtains the structural response variation tendency incidence matrix R ' of binaryzation are as follows:
Wherein,
Given structural response changes size similarity threshold q, obtains the structural response size incidence matrix P ' of binaryzation are as follows:
Wherein,
Both (12) formula and (15) formula are combined to generate and respond comprehensive incidence matrix, is integrated between measure time sequence with this
Variation tendency and the similitude for changing size obtain the comprehensive incidence matrix ξ of structural response are as follows:
Wherein,
In formula, ξijFor the comprehensive incidence coefficient of response of structural response i and j.
Further, the S2, determine the synthesis incidence relation of each structural response under more load cases, it is specific to wrap
It includes:
Equipped with α kind load case, the comprehensive incidence matrix of response under every kind of load case is obtained, i-th kind of load work is located at
Under condition, comprehensive incidence matrix ξ is responded(i)Are as follows:
In formula,For under i-th kind of load case, the response of structural response x and y integrate incidence coefficient, i=1,2 ..., α；
Then under all α kind load cases, more load cases respond comprehensive incidence matrix ξ ' are as follows:
Wherein,
In formula, ξx′yThe synthesis incidence coefficient of x and y, 1≤x, y≤m, ξ ' are responded for all load case flowering structuresxy∈
[0,1], as ξ 'xyWhen=1, illustrate two structural responses under all load cases, relevance between the two is not with load
The change of operating condition and change, have stronger relevance；As ξ 'xyWhen=0, then illustrate to be associated between two structural responses
Property is weaker, from not appearing in same associated region；As 0 < ξ 'xyWhen < 1, illustrate between two structural responses in certain loads
It is related under operating condition.
Further, the S3, determine with clustering method the associated region of the structural response under more load cases, packet
It includes:
Comprehensive incidence matrix ξ ' is responded as cluster data using calculated more load cases, and will be mutually related the knot
Structure response gathers together.
Further, described to respond comprehensive incidence matrix ξ ' as cluster data, by phase using calculated more load cases
The structural response of mutual correlation gathers together, comprising:
The coefficient that more load cases respond in comprehensive incidence matrix ξ ' equal to 1 is got together, forming whole elements is 1
Square matrix, the structural response for including in square matrix forms an associated region.
Further, the S4, to obtain complete structural response information as principle, the association area based on the structural response
Domain determines sensor arrangement point, specifically includes:
Based on fixed associated region, the preferred arrangement of sensor is carried out, to use sensor few as far as possible, is use up
The more monitoring information of amount is arrangement principle, as follows to the method for arranging of sensor:
S41. it is searched for since first associated region of selection, searches the structural response that associated region is overlapped, and
It is determined as overlapping region；
If in the overlapping region only including the structural response, which is sensor arrangement point；
If calculating all correspondence structural responses in overlapping region there are multiple structural responses in overlapping region and existing
More load cases respond the sum of comprehensive incidence matrix ξ ' column incidence coefficient value, and the structural response where maximum value is to sense
Device layout points；Wherein, when determining some sensor arrangement point, remaining structural response in associated region is not considered further that；
S42. for without the associated region for being overlapped the structural response, i.e., no overlapping region calculates in associated region
Including the structural response responds the sum of comprehensive incidence matrix column incidence coefficient value in more load cases, if column
The sum of incidence coefficient value maximum, then explanation includes more monitoring informations, therefore, select structural response where maximum value as
Sensor arrangement point；
S43. it using sensor arrangement point as eyeball, determines the corresponding association tested point of eyeball, specifically includes: if
I-th of structural response is eyeball, is denoted as eyeball i, is closed if the response of j-th of structural response and i-th of structural response is comprehensive
Contact number ξ 'ij=1, then j-th of structural response is regarded as the corresponding association tested point of eyeball i.
Further, the structural response includes: structural stress response and/or displacement structure response.
Further, the sensor includes: stress strain gauge and/or displacement sensor.
Further, the sensor is the sensor for monitoring civil engineering structure load and response.
The application use above technical scheme, at least have it is following the utility model has the advantages that
The application provides a kind of based on the associated sensors optimum placement method of more load case structural responses, this method base
Sensor arrangement point is determined in more load case structural response integrated relational analysis, is helped to realize by the application by limited
Sensor global monitoring is carried out to structure, can obtain structural response information complete under more load cases and acquirement preferably
As a result, validity and feasibility to guarantee monitoring.
It should be understood that above general description and following detailed description be only it is exemplary and explanatory, not
The application can be limited.
Detailed description of the invention
In order to illustrate the technical solutions in the embodiments of the present application or in the prior art more clearly, to embodiment or will show below
There is attached drawing needed in technical description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this
Some embodiments of application for those of ordinary skill in the art without creative efforts, can be with
It obtains other drawings based on these drawings.
Fig. 1 be the application one embodiment provide based on more associated sensors optimum placements of load case structural response
The flow diagram of method；
Fig. 2 be the application one embodiment provide using more load cases respond comprehensive incidence matrix as cluster data into
The flow diagram of row cluster；
Fig. 3 is the sensor arrangement principle process schematic diagram that the application one embodiment provides.
Specific embodiment
To keep the purposes, technical schemes and advantages of the application clearer, the technical solution of the application will be carried out below
Detailed description.Obviously, described embodiments are only a part of embodiments of the present application, instead of all the embodiments.Base
Embodiment in the application, those of ordinary skill in the art are obtained all without making creative work
Other embodiment belongs to the range that the application is protected.
Fig. 1 be the application one embodiment provide based on more associated sensors optimum placements of load case structural response
The flow diagram of method；As shown in Figure 1, this method comprises the following steps:
Step S1, the structural response under every kind of load case is obtained, each structural response under every kind of load case is calculated
Between incidence relation；
Step S2, the synthesis incidence relation of each structural response under more load cases is determined；
Step S3, the associated region of the structural response under more load cases is determined with clustering method；
Step S4, to obtain complete structural response information as principle, biography is determined based on the associated region of the structural response
The layout points of sensor.
Above-described embodiment scheme determines sensor arrangement point based on more load case structural response integrated relational analysis, leads to
The incidence relation calculated under every kind of load case between each structural response is crossed, then the comprehensive of each structural response is closed under more load cases
Connection relationship is clustered using the synthesis incidence relation of the structural response each under more load cases with clustering method, is obtained
The associated region of response, the associated region based on acquisition determine sensing according to the arrangement principle for obtaining complete structural response information
Device layout points help to realize and carry out global monitoring to structure by limited Sensor, can obtain complete structure and ring
It answers information and obtains better result, complete knot can not be obtained by being able to solve limited sensor arrangement point present in the relevant technologies
The problem of structure responds, to guarantee the validity and feasibility of monitoring.
In one embodiment, the structural response under every kind of S1, acquisition load case, calculates under every kind of load case
Incidence relation between each structural response, comprising:
S11, the similitude that variation tendency between response is determined using structural response variation tendency incidence coefficient；
S12, the similitude that variation size between response is determined using structural response variation size incidence coefficient；
The similitude for changing size between the response that S13, basis are determined between the similitude and response of variation tendency, is judged every
Incidence relation under kind load case between each structural response.
Above-described embodiment scheme in a particular application, has certain relevance, passes through response time sequence between structural response
The similitude of column can evaluate its relevance, above scheme be described in detail below by way of specific embodiment, specifically such as
Under:
If X is m structural response matrixes of the structural response under the load action of n time step:
Wherein, xi=[xi(1)xi(2)…xi(n)]T (2)
In formula, xiRepresent the structural response i, x under n time step load actioni(k) representative structure responds i at k-th
Response when spacer step, i, k, m and n are the integer greater than zero, i≤m, k≤n；
Calculate structural response variation tendency incidence matrix, comprising:
To any two structural response i and j in structure, structural response variation tendency incidence coefficient rijAre as follows:
Wherein,
In formula, j is the integer greater than zero, j≤m；For structural response i and the total position of structural response j time series
It is poor to move；For structural response i and structural response j time series totality single order slope differences；For structural response i and knot
Structure responds j time series totality second order slope differences；
The then structural response variation tendency incidence matrix R of the m structural responses are as follows:
It calculates structural response and changes size incidence matrix, comprising:
Size incidence coefficient p is changed to the structural response of two structural responses i and j any in structureijAre as follows:
Wherein,
In formula, σiFor the variance of structural response i time series；σjFor the variance of structural response j time series；cov(xi,
xj) be structural response i and structural response j time series covariance；It is average in the response of n time step for structural response i
Value；For structural response j n time step response average value；
Then the structural response of the m structural responses changes size incidence matrix P are as follows:
Calculate the comprehensive incidence matrix of structural response, comprising:
Given structural response trend similarity threshold λ, obtains the structural response variation tendency incidence matrix R ' of binaryzation are as follows:
Wherein,
Given structural response changes size similarity threshold q, obtains the structural response size incidence matrix P ' of binaryzation are as follows:
Wherein,
Both (12) formula and (15) formula are combined to generate and respond comprehensive incidence matrix, is integrated between measure time sequence with this
Variation tendency and the similitude for changing size obtain the comprehensive incidence matrix ξ of structural response are as follows:
Wherein,
In formula, ξijFor the comprehensive incidence coefficient of response of structural response i and j.
Above-described embodiment scheme, the similitude between evaluation response, i.e. response variation tendency similitude and response variation size
Similitude；By given threshold, the similitude responded between comprehensive incidence matrix overall merit response is established, realizes every kind of lotus of analysis
Carry the incidence relation under operating condition between each structural response.
Scheme based on the above embodiment, the application give a kind of synthesis for obtaining the structural response under a variety of load cases
The example scheme of incidence relation, specific as follows:
In one embodiment, the S2, determine the synthesis incidence relation of each structural response under more load cases, tool
Body includes:
Equipped with α kind load case, the comprehensive incidence matrix of response under every kind of load case is obtained, i-th kind of load work is located at
Under condition, comprehensive incidence matrix ξ is responded(i)Are as follows:
In formula,For under i-th kind of load case, the response of structural response x and y integrate incidence coefficient, i=1,2 ..., α；
Then under all α kind load cases, more load cases respond comprehensive incidence matrix ξ ' are as follows:
Wherein,
In formula, ξx′yThe synthesis incidence coefficient of x and y, 1≤x, y≤m, ξ ' are responded for all load case flowering structuresxy∈
[0,1], as ξ 'xyWhen=1, illustrate two structural responses under all load cases, relevance between the two is not with load
The change of operating condition and change, have stronger relevance；As ξ 'xyWhen=0, then illustrate to be associated between two structural responses
Property is weaker, from not appearing in same associated region；As 0 < ξ 'xyWhen < 1, illustrate between two structural responses in certain loads
It is related under operating condition.
Above-described embodiment scheme realizes that consideration is more by considering influence of a variety of loads for response incidence relation variation
The comprehensive function of load case, determines the synthesis incidence relation of each structural response under more load cases, to help to obtain
Take standby structural response information.
More load cases based on above-mentioned acquisition respond comprehensive incidence matrix, and the application provides a kind of determining associated region
Example scheme, specific as follows:
In one embodiment, the S3, determine with clustering method the association of the structural response under more load cases
Region, comprising:
Comprehensive incidence matrix ξ ' is responded as cluster data using calculated more load cases, and will be mutually related the knot
Structure response gathers together.
Fig. 2 be the application one embodiment provide using more load cases respond comprehensive incidence matrix as cluster data into
The flow diagram of row cluster；As shown in Fig. 2, in one embodiment, it is described to respond synthesis with calculated more load cases
Incidence matrix ξ ' is used as cluster data, and the structural response that will be mutually related gathers together, comprising:
The coefficient that more load cases respond in comprehensive incidence matrix ξ ' equal to 1 is got together, forming whole elements is 1
Square matrix, the structural response for including in square matrix forms an associated region.
It is following to be illustrated by relevant programme of the concrete application scene to above-mentioned determining associated region.
In an application scenarios, such as A1、A2、A3、A4、A5、A6It is responded for 6, more comprehensive associations of load case response
Matrix are as follows:
Formula (22) is clustered, since the 1st row, is found and response A1The comprehensive incidence coefficient of response be equal to 1 row
Column are A3And A6, by A3And A6By row-column transform to the 2nd row and the 3rd row, matrix after obtaining row-column transform, successively from the 3rd
Row is begun look for, searching and A6The comprehensive incidence coefficient of response be equal to 1 ranks, same procession transformation become by ranks
It changes, coefficient 1 can be gathered to formation square matrix on diagonal line, available matrix result after cluster are as follows:
Can be seen that 6 responses by the result of above-mentioned cluster can be divided into 3 response associated regions, respectively
{A1A3A6}、{A4A6}、{A2A5, the degree of association is both greater than set threshold value to the response in each associated region between any two.
Based on acquired associated region, the application provides a kind of example scheme of determining sensor arrangement point, specifically
It is as follows:
In one embodiment, the S4, to obtain complete structural response information as principle, based on the structural response
Associated region determines sensor arrangement point, specifically includes:
Based on fixed associated region, the preferred arrangement of sensor is carried out, to use sensor few as far as possible, is use up
The more monitoring information of amount is arrangement principle, and Fig. 3 is the sensor arrangement principle process schematic diagram that the application one embodiment provides,
It is specifically described below in conjunction with method for arranging of the Fig. 3 to sensor:
S41. it is searched for since first associated region of selection, searches the structural response that associated region is overlapped, and
It is determined as overlapping region；
If in the overlapping region only including the structural response, which is sensor arrangement point；
If calculating all correspondence structural responses in overlapping region there are multiple structural responses in overlapping region and existing
More load cases respond the sum of comprehensive incidence matrix ξ ' column incidence coefficient value, and the structural response where maximum value is to sense
Device layout points；Wherein, when determining some sensor arrangement point, remaining structural response in associated region is not considered further that；
S42. for without the associated region for being overlapped the structural response, i.e., no overlapping region calculates in associated region
Including the structural response responds the sum of comprehensive incidence matrix column incidence coefficient value in more load cases, if column
The sum of incidence coefficient value maximum, then explanation includes more monitoring informations, therefore, select structural response where maximum value as
Sensor arrangement point；
S43. it using sensor arrangement point as eyeball, determines the corresponding association tested point of eyeball, specifically includes: if
I-th of structural response is eyeball, is denoted as eyeball i, is closed if the response of j-th of structural response and i-th of structural response is comprehensive
Contact number ξ 'ij=1, then j-th of structural response is regarded as the corresponding association tested point of eyeball i.
Scheme through the foregoing embodiment, the sensor finally arranged can both make the quantity of arrangement obtain at most
Monitoring information, and can be to avoid the redundancy of sensor monitoring information.
As shown in formula (23), according to sensor arrangement principle, it may be determined that A2、A6For eyeball, wherein A6Corresponding association
Tested point is A1、A3、A4；A2Corresponding association tested point is A5。
It should be understood that structural response described herein include: structural stress response and/or dynamic respond, it is described
Sensor be stress strain gauge and/or displacement sensor, when there are two types of the above sensor, may be implemented based on more lotuses
The incidence relation under operating condition between polymorphic type response is carried to estimate the response for not being arranged sensor.
To sum up, sensors optimum placement is able to achieve by the above-mentioned correlation technique of the application, using less sensor, base
Incidence relation between responding under more load cases estimates the response for not being arranged sensor, and can obtain preferable
As a result, to realize that the overall situation under more load cases for structure monitors, so that the application has feasibility and practicability.
It is understood that same or similar part can mutually refer in the various embodiments described above, in some embodiments
Unspecified content may refer to the same or similar content in other embodiments.
It should be noted that term " first ", " second " etc. are used for description purposes only in the description of the present application, without
It can be interpreted as indication or suggestion relative importance.In addition, in the description of the present application, unless otherwise indicated, " multiple ", " mores' "
Meaning refers at least two.
Any process described otherwise above or method description in flow chart or herein it is understood that are as follows: expression includes
It is one or more for realizing specific logical function or process the step of executable instruction code module, segment or portion
Point, and the range of the preferred embodiment of the application includes other realization, wherein can not press shown or discussed suitable
Sequence, including according to related function by it is basic simultaneously in the way of or in the opposite order, Lai Zhihang function, this should be by the application
Embodiment person of ordinary skill in the field understood.
It should be appreciated that each section of the application can be realized with hardware, software, firmware or their combination.Above-mentioned
In embodiment, software that multiple steps or method can be executed in memory and by suitable instruction execution system with storage
Or firmware is realized.It, and in another embodiment, can be under well known in the art for example, if realized with hardware
Any one of column technology or their combination are realized: having a logic gates for realizing logic function to data-signal
Discrete logic, with suitable combinational logic gate circuit specific integrated circuit, programmable gate array (PGA), scene
Programmable gate array (FPGA) etc..
Those skilled in the art are understood that realize all or part of step that above-described embodiment method carries
It suddenly is that relevant hardware can be instructed to complete by program, the program can store in a kind of computer-readable storage medium
In matter, which when being executed, includes the steps that one or a combination set of embodiment of the method.
It, can also be in addition, can integrate in a processing module in each functional unit in each embodiment of the application
It is that each unit physically exists alone, can also be integrated in two or more units in a module.Above-mentioned integrated mould
Block both can take the form of hardware realization, can also be realized in the form of software function module.The integrated module is such as
Fruit is realized and when sold or used as an independent product in the form of software function module, also can store in a computer
In read/write memory medium.
Storage medium mentioned above can be read-only memory, disk or CD etc..
In the description of this specification, reference term " one embodiment ", " some embodiments ", " example ", " specifically show
The description of example " or " some examples " etc. means specific features, structure, material or spy described in conjunction with this embodiment or example
Point is contained at least one embodiment or example of the application.In the present specification, schematic expression of the above terms are not
Centainly refer to identical embodiment or example.Moreover, particular features, structures, materials, or characteristics described can be any
One or more embodiment or examples in can be combined in any suitable manner.
Although embodiments herein has been shown and described above, it is to be understood that above-described embodiment is example
Property, it should not be understood as the limitation to the application, those skilled in the art within the scope of application can be to above-mentioned
Embodiment is changed, modifies, replacement and variant.
Claims (10)
1. one kind is based on the associated sensors optimum placement method of more load case structural responses, which is characterized in that this method packet
Include following steps:
Structural response under every kind of S1, acquisition load case, calculates the association under every kind of load case between each structural response
Relationship；
S2, the synthesis incidence relation for determining each structural response under more load cases；
S3, the associated region that the structural response under more load cases is determined with clustering method；
S4, to obtain complete structural response information as principle, the cloth of sensor is determined based on the associated region of the structural response
It sets a little.
2. the method according to claim 1, wherein the S1, obtain every kind of load case under structural response,
Calculate the incidence relation under every kind of load case between each structural response, comprising:
S11, the similitude that variation tendency between response is determined using structural response variation tendency incidence coefficient；
S12, the similitude that variation size between response is determined using structural response variation size incidence coefficient；
The similitude for changing size between the response that S13, basis are determined between the similitude and response of variation tendency, judges every kind of lotus
Carry the incidence relation under operating condition between each structural response.
3. according to the method described in claim 2, it is characterized in that, the S1, obtain every kind of load case under the structure
Response calculates the incidence relation under every kind of load case between each structural response, specifically includes:
If X is m structural response matrixes of the structural response under the load action of n time step:
Wherein, xi=[xi(1) xi(2) … xi(n)]T (2)
In formula, xiRepresent the structural response i, x under n time step load actioni(k) representative structure responds i in k-th of time step
When response, i, k, m and n are the integer greater than zero, i≤m, k≤n；
Calculate structural response variation tendency incidence matrix, comprising:
To any two structural response i and j in structure, structural response variation tendency incidence coefficient rijAre as follows:
Wherein,
In formula, j is the integer greater than zero, j≤m；It is that structural response i and structural response j time series overall displacements are poor；For structural response i and structural response j time series totality single order slope differences；It is rung for structural response i and structure
Answer j time series totality second order slope differences；
The then structural response variation tendency incidence matrix R of the m structural responses are as follows:
It calculates structural response and changes size incidence matrix, comprising:
Size incidence coefficient p is changed to the structural response of two structural responses i and j any in structureijAre as follows:
Wherein,
In formula, σiFor the variance of structural response i time series；σjFor the variance of structural response j time series；cov(xi,xj) it is knot
The covariance of structure response i and structural response j time series；For structural response i n time step response average value；For
Response average value of the structural response j in n time step；
Then the structural response of the m structural responses changes size incidence matrix P are as follows:
Calculate the comprehensive incidence matrix of structural response, comprising:
Given structural response trend similarity threshold λ, obtains the structural response variation tendency incidence matrix R ' of binaryzation are as follows:
Wherein,
Given structural response changes size similarity threshold q, obtains the structural response size incidence matrix P ' of binaryzation are as follows:
Wherein,
Both (12) formula and (15) formula are combined to generate and respond comprehensive incidence matrix, is changed between measure time sequence with this to integrate
Trend and the similitude for changing size obtain the comprehensive incidence matrix ξ of structural response are as follows:
Wherein,
In formula, ξijFor the comprehensive incidence coefficient of response of structural response i and j.
4. according to the method described in claim 3, it is characterized in that, the S2, determining that each structure is rung under more load cases
The synthesis incidence relation answered, specifically includes:
Equipped with α kind load case, the comprehensive incidence matrix of response under every kind of load case is obtained, is located under i-th kind of load case,
Respond comprehensive incidence matrix ξ(i)Are as follows:
In formula,For under i-th kind of load case, the response of structural response x and y integrate incidence coefficient, i=1,2 ..., α；
Then under all α kind load cases, more load cases respond comprehensive incidence matrix ξ ' are as follows:
Wherein,
In formula, ξ 'xyThe synthesis incidence coefficient of x and y, 1≤x, y≤m, ξ ' are responded for all load case flowering structuresxy∈ [0,1],
As ξ 'xyWhen=1, illustrate two structural responses under all load cases, relevance between the two is not with load case
Change and change, there is stronger relevance；As ξ 'xyWhen=0, then illustrate two structural responses between relevance compared with
It is weak, from not appearing in same associated region；As 0 < ξ 'xyWhen < 1, illustrate between two structural responses in certain load cases
Lower correlation.
5. according to the method described in claim 4, it is characterized in that, the S3, determining under more load cases with clustering method
The associated region of the structural response, comprising:
Comprehensive incidence matrix ξ ' is responded as cluster data using calculated more load cases, and the structure that will be mutually related is rung
It should gather together.
6. according to the method described in claim 5, it is characterized in that, described with the calculated comprehensive association of more load cases response
Matrix ξ ' is used as cluster data, and the structural response that will be mutually related gathers together, comprising:
The coefficient that more load cases respond in comprehensive incidence matrix ξ ' equal to 1 is got together, the side that whole elements are 1 is formed
Block matrix, the structural response for including in square matrix form an associated region.
7. method according to claim 5 or 6, which is characterized in that the S4, with obtain complete structural response information for original
Then, the associated region based on the structural response determines sensor arrangement point, specifically includes:
Based on fixed associated region, the preferred arrangement of sensor is carried out, to use sensor few as far as possible, is obtained more as far as possible
Monitoring information be arrangement principle, it is as follows to the method for arranging of sensor:
S41. it is searched for since first associated region of selection, searches the structural response that associated region is overlapped, and determine
For overlapping region；
If in the overlapping region only including the structural response, which is sensor arrangement point；
If calculating in overlapping region all correspondence structural responses in more lotuses there are multiple structural responses in overlapping region
It carries operating condition and responds the sum of comprehensive incidence matrix ξ ' column incidence coefficient value, the structural response where maximum value is sensor cloth
It sets a little；Wherein, when determining some sensor arrangement point, remaining structural response in associated region is not considered further that；
S42. for without the associated region for being overlapped the structural response, i.e., no overlapping region calculates and wrapped in associated region
The sum of comprehensive incidence matrix column incidence coefficient value is responded in more load cases containing the structural response, if the association of column
The sum of coefficient value maximum, then explanation includes more monitoring informations, therefore, select structural response where maximum value as sensing
Device layout points；
S43. it using sensor arrangement point as eyeball, determines the corresponding association tested point of eyeball, specifically includes: if i-th
A structural response is eyeball, is denoted as eyeball i, if j-th of structural response is associated with system with the response of i-th of structural response synthesis
Number ξ 'ij=1, then j-th of structural response is regarded as the corresponding association tested point of eyeball i.
8. method according to any one of claims 1 to 6, which is characterized in that the structural response includes: that structural stress is rung
It answers and/or displacement structure responds.
9. method according to any one of claims 1 to 6, which is characterized in that the sensor includes: ess-strain sensing
Device and/or displacement sensor.
10. method according to any one of claims 1 to 6, which is characterized in that the sensor is monitoring civil engineering knot
The sensor of structure load and response.
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111859744A (en) * | 2020-07-10 | 2020-10-30 | 哈尔滨工业大学（深圳） | Node rigid domain identification method, device and equipment based on monitoring data |
| CN111859743A (en) * | 2020-07-10 | 2020-10-30 | 哈尔滨工业大学（深圳） | Structure dynamic displacement estimation method and device based on acceleration response |
| CN111861176A (en) * | 2020-07-10 | 2020-10-30 | 哈尔滨工业大学（深圳） | Method, device and equipment for determining important monitoring rod piece of space rod system structure |
| CN112800559A (en) * | 2021-02-02 | 2021-05-14 | 中海石油(中国)有限公司 | Sensor arrangement method and system |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103134701A (en) * | 2013-01-31 | 2013-06-05 | 东南大学 | Simultaneous monitoring method for welded steel truss structure fatigue failure process |
| CN104330255A (en) * | 2014-11-04 | 2015-02-04 | 徐州隆安光电科技有限公司 | Gear fault diagnosing method based on multi-sensor information fusion |
| CN104880217A (en) * | 2015-06-17 | 2015-09-02 | 卢伟 | Fault sensor information reconstruction method based on measured value association degree |
| CN106226621A (en) * | 2016-07-18 | 2016-12-14 | 南京国电南自电网自动化有限公司 | A kind of secondary device fault diagnosis based on grey correlation analysis and method for early warning |
| CN106501359A (en) * | 2016-10-17 | 2017-03-15 | 南京航空航天大学 | Being calculated based on correlation dimension, the low velocity impact location identification method for handing over principle is taken with three circles |
| CN108885659A (en) * | 2015-09-05 | 2018-11-23 | 万事达卡技术加拿大无限责任公司 | The system and method that the phase same sex is matched and scored |
-
2019
- 2019-01-07 CN CN201910012804.6A patent/CN109738220B/en active Active
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103134701A (en) * | 2013-01-31 | 2013-06-05 | 东南大学 | Simultaneous monitoring method for welded steel truss structure fatigue failure process |
| CN104330255A (en) * | 2014-11-04 | 2015-02-04 | 徐州隆安光电科技有限公司 | Gear fault diagnosing method based on multi-sensor information fusion |
| CN104880217A (en) * | 2015-06-17 | 2015-09-02 | 卢伟 | Fault sensor information reconstruction method based on measured value association degree |
| CN108885659A (en) * | 2015-09-05 | 2018-11-23 | 万事达卡技术加拿大无限责任公司 | The system and method that the phase same sex is matched and scored |
| CN106226621A (en) * | 2016-07-18 | 2016-12-14 | 南京国电南自电网自动化有限公司 | A kind of secondary device fault diagnosis based on grey correlation analysis and method for early warning |
| CN106501359A (en) * | 2016-10-17 | 2017-03-15 | 南京航空航天大学 | Being calculated based on correlation dimension, the low velocity impact location identification method for handing over principle is taken with three circles |
Non-Patent Citations (3)
| Title |
|---|
| 文润发: "基于测点关联分析的结构监测方法研究", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
| 李超: "基于关联度的多类型监测信息优化与重构方法", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
| 董佳霖: "基于空间相关性的索力传感器优化布置及全桥索力反演预测研究", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111859744A (en) * | 2020-07-10 | 2020-10-30 | 哈尔滨工业大学（深圳） | Node rigid domain identification method, device and equipment based on monitoring data |
| CN111859743A (en) * | 2020-07-10 | 2020-10-30 | 哈尔滨工业大学（深圳） | Structure dynamic displacement estimation method and device based on acceleration response |
| CN111861176A (en) * | 2020-07-10 | 2020-10-30 | 哈尔滨工业大学（深圳） | Method, device and equipment for determining important monitoring rod piece of space rod system structure |
| CN111861176B (en) * | 2020-07-10 | 2024-03-22 | 哈尔滨工业大学（深圳） | Method, device and equipment for determining important monitoring rod piece of space rod system structure |
| CN112800559A (en) * | 2021-02-02 | 2021-05-14 | 中海石油(中国)有限公司 | Sensor arrangement method and system |
| CN112800559B (en) * | 2021-02-02 | 2024-03-08 | 中海石油(中国)有限公司 | Sensor arrangement method and system |
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