CN106709209A - Identification method for prestressing loss of PC simply supported girder-bridge based on inverse analysis - Google Patents
Identification method for prestressing loss of PC simply supported girder-bridge based on inverse analysis Download PDFInfo
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- CN106709209A CN106709209A CN201710037672.3A CN201710037672A CN106709209A CN 106709209 A CN106709209 A CN 106709209A CN 201710037672 A CN201710037672 A CN 201710037672A CN 106709209 A CN106709209 A CN 106709209A
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Abstract
The invention discloses an identification method for prestressing loss of PC simply supported girder-bridge based on inverse analysis, and belongs to technical field of in-service bridge virtual condition analysis. The identification method for prestressing loss of PC simply supported girder-bridge based on inverse analysis is precise and reliable, and can track andprecisely predict the prestressing loss of bridges in service. The identification method comprises the steps of establishing a finite element model, and adopting the prestressing loss of the PC simply supported girder-bridge as unknown parameter to be initiallyvectorized to carry out finite element analyzing and calculating; according to the result of finite element analyzing and calculating, performing back analysis calculation with a measured deflection value of a bridge body, calculating the objective function, and judging whether the objective function is convergence or not; if the objective function is convergent, outputting the result of prestressing loss of PC simply supported girder-bridge identification;if the objective function is not convergent, returning to the finite element model to carry out iterative calculation. The identification method provides calculable analysis parameters for prestressing loss identification of in0service prestressing bridge structure and damage evaluation, and has significant practical value in engineering.
Description
Technical field
Present invention relates particularly to a kind of PC simply supported girder bridge loss of prestress recognition methods based on back analysis, belong to military service bridge
Beam virtual condition analysis technical field.
Background technology
For PC concrete simply supported beam bridges for many years of being on active service, in the effect such as carload, temperature, concrete shrinkage and creep
Joint effect under, beam body intensity, Stiffness Deterioration degree are increasingly serious, its security, usability, durability are constituted serious
Threaten.Find by inquiry, such bridge Major Diseases show as the emergence in crack, extension, beam body downwarp phenomenon is obvious.
Therefore, domestic and foreign scholars are in depth studied such disease.Analysis shows, wherein beam body loss of prestress are to cause pre-
One of stress bridge structure cracking, principal element of downwarp.At present, to beam body loss of prestress the origin cause of formation, composition, solution
Etc. aspect research it is relatively more, meanwhile, domestic specification《Highway reinforced concrete and prestressed concrete bridge contain design specification》
(JTG D62-2004) gives loss of prestress every theoretical calculation formula.But to in-service PC concrete simply supported beams bridge
Speech is, it is necessary to consider bridge structure virtual condition during one's term of military service, it is impossible to obtain difference by simply applying mechanically theoretical calculation formula
The prestress loss value of time point beam bridge structure.At present, both at home and abroad for pre-stressed bridge construction pre-stress loss identification aspect
Correlative study it is also fewer.How to track and Accurate Prediction bridge during one's term of military service beam body loss of prestress be badly in need of solve one
Individual engineering problem.
Late 1970s, Geotechnical Engineering field to propose and reflect answering for structural mechanical behavior with what field measurement was obtained
The physical quantitys such as power, strain, displacement are the back analysis method of foundation.Back analysis method can be used not only for structural model identification, can be with
For Identification of Structural Parameters.Structural model identification is picked out and structure practical distortion rule by the deformation rule of observation information
Immediate optimal models.Identification of Structural Parameters is the stress-strain relation according to structure, sets up inverse model, analyzes model
The physical and mechanical parameters such as parameter, geometric parameter, primary stress.The real technology of practical structures can be obtained using inverse analysis method
Parameter, so as to using the parameter that obtains of analysis is relatively reliable, analytical structure exactly stress, displacement etc., and structure is used
The mechanical behavior of period carries out real-time prediction, meanwhile, the problem that there may be feeds back to structure design, construction, and then preferably
The processes such as design, construction.But this method analysis process is more complicated, and time-consuming, by field condition and laboratory test
Condition is limited, and with limitation, practical application difficulty is very big.
The content of the invention
Therefore, for the above-mentioned deficiency of prior art, the present invention is all providing a kind of accurate, reliable, can track and accurate
The really PC simply supported girder bridge loss of prestress recognition methods based on back analysis of prediction bridge beam body loss of prestress during one's term of military service, institute
The method of stating is,
FEM model is set up, using the loss of prestress of PC simply supported girder bridges as parameter to be asked, initial vector PC simply supported beams
Bridge loss of prestress, carries out finite element analysis computation；
According to finite element analysis computation result, deflection value is surveyed with reference to beam body, carry out reverse calculation, calculate target letter
Number, judges whether convergence；
If convergence, PC simply supported girder bridge loss of prestress recognition results are exported；
If do not restrained, return to FEM model and be iterated calculating.
Further, the object function of reverse calculation is in methods described,
In formula, k is that beam body surveys amount of deflection quantity；uiIt is beam body deflection observation value；viIt is beam body amount of deflection simulation value.
Further, the loss of prestress in methods described produced by a branch of steel strand wires is used as parameter to be asked.
Further, beam body actual measurement amount of deflection quantity is more than number of parameters to be asked in methods described.
The beneficial effects of the present invention are：The PC concrete simply supported beam bridge prestressing force theoretical with back analysis proposed by the present invention
Loss identifying and analyzing method, with bridge structure virtual condition during one's term of military service as starting point, it is to avoid calculated using theoretical calculation
The offset issue existed with structure virtual condition, more conforms to situation, and result of calculation is also more accurate, reliable.Additionally, the method
It also avoid carrying out the limitation that the loss test of pre-stressed bridge construction pre-stress is present using laboratory test or field test, more
Fill the deficiency for stating various methods.Method proposed by the present invention is provided for the loss identification of in-service pre-stressed bridge construction pre-stress
One new thinking, can provide reliable analytical parameters, with important engineering practical value for its Damage Evaluation.
Brief description of the drawings
Fig. 1 is inverse analysis method flow chart of the present invention；
Fig. 2 is FEM model schematic diagram in embodiment 1；
Loss of prestress iteration change rule when Fig. 3 to Fig. 8 is respectively that observation time is A, B, C, D, E, F in embodiment 1
Rule schematic diagram.
Specific embodiment
Specific embodiment of the invention is illustrated below in conjunction with the accompanying drawings：
Based on the theory by back analysis proposed by the present invention, deflection value is surveyed according to PC concrete simply supported beam bridges during one's term of military service
When carrying out loss of prestress identification, can solve the problems, such as to be disconnected between bridge structure virtual condition and theoretical calculation formula, more
Plus tally with the actual situation, result of calculation is also more accurate, reliable.
When carrying out loss of prestress identification using method proposed by the present invention, by improving accuracy of observation come control observation number
According to the influence of accuracy, additionally, when carrying out bridge structure loss of prestress identification using the present invention, beam body can be obtained comprehensive pre-
Stress loss, requirement can be met when bridge structure global analysis is calculated.
Back analysis general principle is：
Back analysis is actually an optimization problem for object function, and it is, by iterative target error function, gradually to repair
The tentative calculation value for seeking parameter is waited for, until obtaining optimal solution.In for Linear Elasticity Problem, parameter to be asked can set up formula with observation data
(1) linear equation group：
[K] { x }={ y } (1)
In formula, [K] is the stiffness matrix with relating to parameters to be asked；{ x } is a certain parameter vector to be asked；{ y } is and observation
The relevant known vector of data.
If the data bulk of independent observation is m, parameter sum to be asked is n, observes the optimal estimation value U of dataiWith observation
Error between value is εi, then have：
When independent observation data bulk is more than when number of parameters is sought, i.e. during m ＞ n, object function can be defined as：
In order that object function is minimum, the condition that need to be met is：
Formula (4) is substituted into formula (3), its regular equation basic representation and rectangular expression formula are obtained through processing expansion：
[K]T[K] { x }=[K]T{y} (6)
After formula (6) is transformed, you can obtain solving the basic representation of parameter：
{ x }=([K]T[K])-1[K]T{y} (7)
Bridge prestress loss inverting is identified as：
(1) bridge parametric inversion flow
For in-service PC concrete simply supported beams bridge, due to the limitation of the factors such as the method for being put to the test, condition, means, seldom enter
The loss of prestress of row servicing bridges is tested and tested.Therefore, the bridge structure parameter identification based on back analysis theory is one
Plant preferable analysis method.The analysis process of the method is as shown in Figure 1.
(2) foundation of object function
Following object function is set up in PC concrete simply supported beam bridge loss of prestress back analysises：
In formula, k is that beam body surveys amount of deflection quantity；uiIt is beam body deflection observation value；viIt is beam body amount of deflection simulation value.For
Reducing the error that the factor such as observation procedure, instrument and equipment, artificial brings is influenceed, and the quantity of beam body actual measurement amount of deflection have to be larger than to be treated
Seek number of parameters.
(3) selection of mesh bridge inverted parameters
Because loss of prestress is larger to the Influence of Displacement of PC concrete simply supported beam bridges, be evaluate its rigidity size it is important
Parameter.Therefore, choose loss of prestress carries out back analysis as inverted parameters.For PC concrete simply supported beam bridges, due to mixed
Solidifying soil such as shrinks, creeps, constructing, constructing at the influence of factor, and loss of prestress is not constant, and its spatial distribution is irregular
's.For simplifying the analysis, it is assumed that the loss of prestress produced along journey with a branch of steel strand wires is a steady state value, is one " integrated value ",
Embody joint effect of the various factors to amount of deflection.Consider from structure unitary analysis angle, it is feasible that this loss of prestress simplifies
's.
Embodiment 1
A certain three across Prestressed concrete simply supported beam (40.0m+40.0m+40.0m), and design standard is highway-I grades, is cut
Face form is T beams, and main beam concrete uses 15.24mm steel strand wires marked as C50, deformed bar.For the beam of Inversion Calculation
Different time points actual measurement amount of deflection is as shown in table 1 during one's term of military service for body.Beam body loss of prestress discriminance analysis FEM model such as Fig. 2 institutes
Show.
Table 1
With beam body, major section different time points actual measurement amount of deflection carries out back analysis during one's term of military service, and beam body loss of prestress is anti-
Drill result as shown in Figures 3 to 8.
By analysis, with the continuous increase of beam body amount of deflection, beam body loss of prestress gradually increases.Corresponding to beam body
Different observation time A, observation time B, observation time C, observation time D, observation time E, observation time F, beam body prestressing force are damaged
Lose and be respectively 17%, 18%, 20%, 22%, 25%, 29%.
The present invention is proposed based on back analysis theory, by setting up parametric inversion analysis program, according to prestressed bridge
Different time points major section surveys deflection value to girder construction during one's term of military service, and inverting identification is carried out to beam body loss of prestress.This hair
The method of bright proposition provides a new thinking for the loss identification of in-service pre-stressed bridge construction pre-stress, can be commented for its damage
Valency provides reliable analytical parameters, with important engineering practical value.
The above is the preferred embodiment of the present invention, it is noted that for those skilled in the art
For, on the premise of principle of the present invention is not departed from, some improvements and modifications can also be made, these improvements and modifications
Should be regarded as protection scope of the present invention.
Claims (4)
1. a kind of PC simply supported girder bridge loss of prestress recognition methods based on back analysis, it is characterised in that methods described is,
FEM model is set up, using the loss of prestress of PC simply supported girder bridges as parameter to be asked, initial vector PC simply supported girder bridges are pre-
Stress loss, carries out finite element analysis computation；
According to finite element analysis computation result, deflection value is surveyed with reference to beam body, carry out reverse calculation, calculating target function is sentenced
It is disconnected whether to restrain；
If convergence, PC simply supported girder bridge loss of prestress recognition results are exported；
If do not restrained, return to FEM model and be iterated calculating.
2. the PC simply supported girder bridge loss of prestress recognition methods based on back analysis as claimed in claim 1, it is characterised in that institute
The object function for stating reverse calculation in method is,
In formula, k is that beam body surveys amount of deflection quantity；uiIt is beam body deflection observation value；viIt is beam body amount of deflection simulation value.
3. the PC simply supported girder bridge loss of prestress recognition methods based on back analysis as claimed in claim 1 or 2, its feature exists
In, loss of prestress in methods described produced by a branch of steel strand wires as parameter to be asked.
4. the PC simply supported girder bridge loss of prestress recognition methods based on back analysis as claimed in claim 3, it is characterised in that institute
Beam body actual measurement amount of deflection quantity is more than number of parameters to be asked in stating method.
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| CN201710037672.3A CN106709209A (en) | 2017-01-19 | 2017-01-19 | Identification method for prestressing loss of PC simply supported girder-bridge based on inverse analysis |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109840389A (en) * | 2019-03-13 | 2019-06-04 | 台州职业技术学院 | A kind of prestressing force prediction technique based on Bayes and GARCH |
| CN110132511A (en) * | 2019-05-30 | 2019-08-16 | 山东省建筑科学研究院 | A kind of bridge structure monitoring and assessing method based on dynamic deflection attenuation law |
| CN110308268A (en) * | 2019-07-04 | 2019-10-08 | 西南交通大学 | Prestressed concrete frame loss of prestress recognition methods |
| CN110489784A (en) * | 2018-03-30 | 2019-11-22 | 中交路桥北方工程有限公司 | Duct loss of prestress analysis system |
-
2017
- 2017-01-19 CN CN201710037672.3A patent/CN106709209A/en active Pending
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| 孙学先 等: "位移反分析在梁桥悬臂施工线形控制计算中应用", 《兰州交通大学学报(自然科学版）》 * |
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Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110489784A (en) * | 2018-03-30 | 2019-11-22 | 中交路桥北方工程有限公司 | Duct loss of prestress analysis system |
| CN109840389A (en) * | 2019-03-13 | 2019-06-04 | 台州职业技术学院 | A kind of prestressing force prediction technique based on Bayes and GARCH |
| CN109840389B (en) * | 2019-03-13 | 2023-04-07 | 台州职业技术学院 | Bayes and GARCH-based prestress prediction method |
| CN110132511A (en) * | 2019-05-30 | 2019-08-16 | 山东省建筑科学研究院 | A kind of bridge structure monitoring and assessing method based on dynamic deflection attenuation law |
| CN110132511B (en) * | 2019-05-30 | 2020-10-27 | 山东省建筑科学研究院有限公司 | Bridge structure monitoring and evaluating method based on dynamic deflection attenuation law |
| CN110308268A (en) * | 2019-07-04 | 2019-10-08 | 西南交通大学 | Prestressed concrete frame loss of prestress recognition methods |
| CN110308268B (en) * | 2019-07-04 | 2020-11-06 | 西南交通大学 | Prestressed loss identification method for prestressed concrete frame structure |
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