CN106777549A - A kind of bridge multi-level finite element modeling analogy method towards loading test - Google Patents
A kind of bridge multi-level finite element modeling analogy method towards loading test Download PDFInfo
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Abstract
The invention provides a kind of bridge multi-level finite element modeling analogy method towards loading test, it is characterised in that the method is comprised the following steps:The first step:Full-bridge beam element model is set up with reference to design as-constructed drawing, the envelope diagram of internal force of full bridge structure is calculated, the controlling sections of least favorable stress are drawn;Second step:The controlling sections plate shell or solid element simulation are obtained into plate shell or Model of Solid Elements, while deleting the beam element model of the controlling sections;3rd step:Coupling is integrated composition multi-scale finite meta-model, and verifies its correctness;4th step:Loading test simulation is carried out on the multi-scale finite meta-model after this authentication.Multi-scale finite meta-model after checking accelerates calculating speed and improves precision due to having simulated overall and local stressing conditions.
Description
Technical field
The present invention relates to bridge simulation, and in particular to a kind of bridge multi-level finite element modeling simulation side towards loading test
Method.
Background technology
By the reform and opening-up development of more than 30 years, Bridges in Our Country construction achieves remarkable achievement.By 2015
Bottom, highway in China bridge sum is up to 77.92 ten thousand, 4592.77 ten thousand linear meter(lin.m.)s.The built beam bridge of China, arch bridge, cable-stayed bridge and
The across footpath Jun Ju worlds same bridges prostatitis of suspension bridge this four classes bridge.However, being built by the large-scale basis facility of more than 30 years
If the bridge quantity for currently stepping into the maintenance interval is increasing.According to incompletely statistics, unsafe bridge quantity is up to only in highway bridge at present
7.96 ten thousand, the 10.5% of highway bridge sum is accounted for, directly affect the normal safe trip of the people.Bridge in towards lifetime
The science decision of maintenance is, it is necessary to bridge technology personnel are scientifically and accurately commented the technology status and bearing capacity of bridge structure
It is fixed.Loading test is that bridge structure bearing capacity is most direct, effective authentication method for evaluation, and its core concept is by bridge structure
The theoretical value that scene the obtained measured value of loading of key parameter is calculated with FEM model is compared, and to bridge structure
Bearing capacity evaluated.But all kinds of corrupt practices creep in for traditional beam element FEM model, such as each measuring point measured value cannot
Directly compare with theoretical value, it is impossible to enough reflect local stiffness change and Mass Distribution of structure etc..
Meanwhile, Test on Bridge Loading not only carries the effect of evaluation structural-load-carrying capacity but also for scientific research provides actual measurement number
According to such as shear lageffect of bridge structure, unbalance loading effect.Partial analysis typically, for bridge structure is tieed up according to sage
Southern principle, using the method for submodel, i.e., carries out global analysis first, then carries out the side of " secondary analysis " to part again
Method.Submodel approach needs to set up structure the FEM model of the FEM model with local fine of overall simplification, and profit
Global analysis is carried out to structure with the FEM model of overall simplification, is then had what global analysis drew corresponding to local fine
The result for limiting meta-model boundary is applied on partial model in the way of boundary constraint and boundary condition, finally to local fine
FEM model is analyzed again.But, be the drawbacks of the method local fine model boundary condition extract with addition compared with
It is difficulty, because from entirety to part, the selection of the boundary condition being applied on partial model is very complicated, boundary condition choosing
Take it is improper can directly cause the result of partial analysis far apart, while submodel approach be still on single yardstick simulate
, only overall simplification model and local refined model are separate.
The content of the invention
The problem to be solved in the present invention is directed to the above-mentioned deficiency in the presence of prior art and provides a kind of towards load
The bridge multi-level finite element modeling analogy method of experiment can the entirety of simulation bridge and local stressing conditions very well,
To achieve the above object, present invention employs following technical scheme:A kind of many chis of bridge towards loading test
Degree Finite Element Method, comprises the following steps:
The first step:Full-bridge beam element model (i.e. single-beam model) is set up with reference to design as-constructed drawing, by applying to design
Class of loading, calculates the envelope diagram of internal force of full bridge structure, draws the section of least favorable stress, as controlling sections;
Second step:The controlling sections plate shell or solid element simulation are obtained into plate shell or Model of Solid Elements, while
Delete the beam element model of the controlling sections;
3rd step:The single-beam model and the plate shell or entity of controlling sections beam element model will have been deleted
Model of element coupling is integrated composition multi-scale finite meta-model;
4th step:Loading test simulation is carried out on the multi-scale finite meta-model.
Further, the coupling process Constrained equation method.
Further, static characteristics are carried out by the single-beam model for having deleted controlling sections beam element model
The accuracy of multiple dimensioned model is verified with the contrast of dynamic characteristics.
A kind of control action analysis based on the bridge multi-level finite element modeling analogy method towards loading test, is based on
The differential equations of bridge model analysis are solved and are obtained intrinsic frequency, the former rank natural frequencies of vibration of selecting structure and are shaken
Type.
Further, the bridge model analysis uses subspace iteration method.
Compared to prior art, the present invention has the advantages that:Multi-scale finite meta-model after checking is due to mould
Drawn up overall and local stressing conditions, while accelerating calculating speed and improving precision on carry out loading test simulation, no
Loading test conceptual design is carried out after this authentication on multi-scale finite meta-model that only can be for the carrying to bridge structure
The evaluation of ability, for bridge is handed over, (completing) work is checked and accepted and late maintaining management provides scientific basis, can also carry out targetedly section
Grind work, shear lageffect, unbalance loading effect (unbalance loading coefficient, torsional deflection, horizontal enhancement coefficient etc.) etc..
Brief description of the drawings
Fig. 1 is bridge multi-level finite element modeling modeling process chart of the present invention towards loading test.
Specific embodiment
In order that technological means, creation characteristic, reached purpose that the present invention is realized more understand and are apparent to effect,
The present invention is further elaborated with reference to the accompanying drawings and detailed description:
The present invention proposes a kind of bridge multi-level finite element modeling analogy method towards loading test, comprises the following steps:
The first step:Full-bridge beam element model (i.e. single-beam model) is set up with reference to design as-constructed drawing, it is real in modeling process
Now set up, replica node and unit or input load etc., in division unit, it is necessary to consider following factor:A, research is described
The required computational accuracy of single-beam model;B, the metamorphosis (including the length of beam, width and thickness change) of structure;C, bridge floor
Load and the simulation requirement of vehicle active load effect;D, calculate in solution procedure for avoid element form required by ill-conditioning problem and
Matching between unit;E, the ability of computing device;By reference to《Highway bridge and culvert designs general specification》Or《Urban Bridge sets
Meter specification》Apply design load grade, the envelope diagram of internal force for calculating full bridge structure draws the influence of a certain force on cross-section using (1)
Line;(2) determine that worst-case load position is put;(3) minimum and maximum internal force is calculated;(4) equidistantly refer on the rod member of work done in the manner of a certain author envelope diagram
Fixed some sections (claiming envelope diagram controlling sections), by (1)~(3) step, calculate maximum under ranks load action of each section and
Force value in minimum;(5) it is the abscissa at envelope diagram control point with cross sectional coordinate, with above-mentioned maximum and minimum value as ordinate,
The position at control point is marked on figure;Connect maximum point and smallest point respectively with smoothed curve, obtain final product required envelope diagram;Then select
The section i.e. maximal bending moment section of least favorable stress is drawn, is also controlling sections;
Second step:The controlling sections are simulated with plate shell or solid element using finite element analysis software, sets up described
The plate shell or Model of Solid Elements of controlling sections;The mechanical model of Shell Finite Element is taken as the neutral surface of construction unit, i.e., with each
Property face is represented as the plate of different-thickness or the assembly of shell unit, and model configuration body is carried out with this;Shell Finite Element is typically plane
Arbitrary quadrilateral or arbitrary triangle unit, or spatially four triangular elements constitute the quadrangle that conical plate is simulated
Thin shell element;Can there are the stressing conditions of local detail, such as end plate of simulating beam in view of the controlling sections, it is bolted
Etc. situation, at this time need to be simulated with the solid element;Delete the beam element model of the controlling sections, then now
The beam element that the single-beam model will not have the controlling sections.
3rd step:The single-beam model and the plate shell or entity of controlling sections beam element model will have been deleted
Model of element coupling is integrated composition multi-scale finite meta-model, will the plate shell or solid element be embedded into and deleted control
In the full-bridge one dimension finite element model of the beam element model in section, multi-scale finite meta-model is combined into, now the one of structure
It is beam element that separation dissipates, it is a part of it is discrete be shell unit, can use component module method and the rigidity addition method, use constraint equation
Method is needed to set up constraint equation one by one, and girder construction is simulated with component module method, can also be using pseudo- beam method, rigid region domain method
(main and subordinate node method), MPC methods (multi-point constraint method) etc.;
4th step:Loading test simulation, test basis reference are carried out on the multi-scale finite meta-model《Highway bridge
Loading test code》Or《Urban Bridge is detected and assessment technology specification》Carry out, the Gravitative Loads of bridge in full bridge unit,
Using Uniform Load in full bridge unit, vehicle active load is according to static equivalent principle for the load such as deck paving and secondary dead load
Act on the Shell Finite Element of floorings, the multi-scale finite meta-model is due to having simulated overall and local pressure feelings
Condition, accelerate calculating speed and improve precision while on carry out loading test conceptual design for the carrying to bridge structure
The evaluation of ability, for bridge is handed over, (completing) work is checked and accepted and late maintaining management provides scientific basis, can also carry out targetedly section
Grind work, shear lageffect, unbalance loading effect (unbalance loading coefficient, torsional deflection, horizontal enhancement coefficient etc.) etc..
As specific embodiment, the coupling process Constrained equation method, because flat unit does not have rotational freedom, institute
With the transmission by the way that torque can be realized using component module method;Such as beam element has a node location weight with solid element
Close, to enable displacement and torque to transmit, then need to couple two the three of node translation freedoms, while also needing to constraint
Three rotational freedoms of equation restraint beam.
As specific embodiment, carried out by the single-beam model for having deleted controlling sections beam element model
Static characteristics (the main internal force for including structure under dead load, support reaction and dynamic respond) (mainly include with dynamic characteristics
The natural frequency of vibration and Mode Shape) contrast verify the accuracy of multiple dimensioned model.
A kind of control action analysis based on the bridge multi-level finite element modeling analogy method towards loading test, is base
Solved in the differential equations of bridge model analysis and obtained intrinsic frequency, chosen in structural dynamic performance evaluation
The former rank natural frequencies of vibration of structure and the vibration shape, because typically only having former rank natural frequencies of vibration and the vibration shape to play control action, motion
Equation group can be used[M], [C], [K] are respectively gross mass matrix, damping square in formula
Battle array, stiffness matrix;{ δ } is modal displacement vector;The characteristic determinant of system is | [K]-ω2[M] |=0.
Used as specific embodiment, the bridge model analysis uses subspace iteration method.
Finally illustrate, the above embodiments are merely illustrative of the technical solutions of the present invention and it is unrestricted, although with reference to compared with
Good embodiment has been described in detail to the present invention, it will be understood by those within the art that, can be to skill of the invention
Art scheme is modified or equivalent, and without deviating from the objective and scope of technical solution of the present invention, it all should cover at this
In the middle of the right of invention.
Claims (5)
1. a kind of bridge multi-level finite element modeling analogy method towards loading test, it is characterised in that the method includes following step
Suddenly:
The first step:Full-bridge beam element model (i.e. single-beam model) is set up with reference to design as-constructed drawing, by applying design load
Grade, calculates the envelope diagram of internal force of full bridge structure, draws the section of least favorable stress, as controlling sections;
Second step:The controlling sections plate shell or solid element simulation are obtained into plate shell or Model of Solid Elements, while deleting
The beam element model of the controlling sections;
3rd step:The single-beam model and the plate shell or solid element of controlling sections beam element model will have been deleted
Model coupling is integrated composition multi-scale finite meta-model;
4th step:Loading test simulation is carried out on the multi-scale finite meta-model.
2. a kind of bridge multi-level finite element modeling analogy method towards loading test according to claim 1, it is characterised in that:
The coupling process Constrained equation method.
3. a kind of bridge multi-level finite element modeling analogy method towards loading test according to claim 1, it is characterised in that:
It is right with dynamic characteristics by the single-beam model for having deleted controlling sections beam element model carrying out static characteristics
Than verifying the accuracy of multiple dimensioned model.
4. a kind of control action of the bridge multi-level finite element modeling analogy method based on described in claim 1 towards loading test is divided
Analysis method, it is characterised in that:Differential equations based on bridge model analysis are solved and are obtained intrinsic frequency, are chosen
The former rank natural frequencies of vibration of structure and the vibration shape.
5. a kind of Analysis of Dynamic Characteristics method according to claim 4, it is characterised in that:The bridge model analysis is used
Subspace iteration method.
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CN108595733A (en) * | 2018-01-30 | 2018-09-28 | 江西理工大学 | A kind of produced static test method deformed of indirect measurement control load |
CN109858071A (en) * | 2018-12-06 | 2019-06-07 | 山西大学 | A kind of Thin-walled box beam structure Analysis of Dynamic Characteristics method considering shear lag effect |
CN109933864A (en) * | 2019-02-26 | 2019-06-25 | 广州交通投资集团有限公司 | A kind of design method of single-box multi-cell concrete box girders girder web plate |
CN113378265A (en) * | 2021-05-31 | 2021-09-10 | 中铁二院工程集团有限责任公司 | Bridge dynamic performance evaluation method based on multi-body dynamics |
CN113505405A (en) * | 2021-04-15 | 2021-10-15 | 中南大学 | Equivalent load obtaining method, and topology optimization method and system based on equivalent load |
CN114692284A (en) * | 2022-05-16 | 2022-07-01 | 西南交通大学 | Design method of test model for wide-width combination-mixed beam cable-stayed bridge joint section |
CN115062522A (en) * | 2022-08-18 | 2022-09-16 | 天河超级计算淮海分中心 | Strength determination method based on fabricated structure, electronic device and storage medium |
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CN108595733A (en) * | 2018-01-30 | 2018-09-28 | 江西理工大学 | A kind of produced static test method deformed of indirect measurement control load |
CN108595733B (en) * | 2018-01-30 | 2022-03-11 | 江西理工大学 | Static test method for indirectly measuring deformation generated by control load |
CN109858071A (en) * | 2018-12-06 | 2019-06-07 | 山西大学 | A kind of Thin-walled box beam structure Analysis of Dynamic Characteristics method considering shear lag effect |
CN109858071B (en) * | 2018-12-06 | 2023-03-07 | 山西大学 | Thin-wall box girder structure dynamic characteristic analysis method considering shear hysteresis |
CN109933864A (en) * | 2019-02-26 | 2019-06-25 | 广州交通投资集团有限公司 | A kind of design method of single-box multi-cell concrete box girders girder web plate |
CN109933864B (en) * | 2019-02-26 | 2023-05-23 | 广州交通投资集团有限公司 | Design method of main beam web of single-box multi-chamber concrete box beam bridge |
CN113505405A (en) * | 2021-04-15 | 2021-10-15 | 中南大学 | Equivalent load obtaining method, and topology optimization method and system based on equivalent load |
CN113378265A (en) * | 2021-05-31 | 2021-09-10 | 中铁二院工程集团有限责任公司 | Bridge dynamic performance evaluation method based on multi-body dynamics |
CN114692284A (en) * | 2022-05-16 | 2022-07-01 | 西南交通大学 | Design method of test model for wide-width combination-mixed beam cable-stayed bridge joint section |
CN115062522A (en) * | 2022-08-18 | 2022-09-16 | 天河超级计算淮海分中心 | Strength determination method based on fabricated structure, electronic device and storage medium |
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