CN107220453A - The method that position limiting structure bearing capacity is determined - Google Patents
The method that position limiting structure bearing capacity is determined Download PDFInfo
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- CN107220453A CN107220453A CN201710440000.7A CN201710440000A CN107220453A CN 107220453 A CN107220453 A CN 107220453A CN 201710440000 A CN201710440000 A CN 201710440000A CN 107220453 A CN107220453 A CN 107220453A
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- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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Abstract
The invention provides a kind of method that position limiting structure bearing capacity is determined, including the actual condition according to position limiting structure, set up extension FEM model, impairment parameter model is introduced according to extension FEM model multistage loadings are carried out to position limiting structure so that position limiting structure is cracked, the bearing capacity of position limiting structure is determined according to crackle.The position limiting structure bearing capacity determined using this method is more accurate, improves the setting precision of position limiting structure, adds the reliability of position limiting structure.
Description
Technical field
The present invention relates to railway construction design field, determined in particular to a kind of position limiting structure bearing capacity
Method.
Background technology
The characteristics of ballastless track structure has high ride, high stability, high-durability and high reliability, in the world at a high speed
It is widely used in railway and urban track traffic.At present, there is set of system for non-fragment orbit design aspect
Theory, the non-fragment orbit load effect under value, load action is calculated from load, how arrangement of reinforcement examines calculation to later stage crackle, had
The computational methods of maturation.
Non-fragment orbit agent structure being directed to current substantial amounts of design method, such as track plates, bedplate bearing capacity are set more
In terms of load crackle inspection after meter and each layer arrangement of reinforcement of Reinforcement Design, non-fragment orbit is calculated, design and inspection for thin portion structure are calculated
Shorter mention, for example, to the semicircle at the circular positive stop lug boss in the plate-type fragment-free track slab ends of CRTS I and bridge beam end position
Under the lateral blocks of plate-type non-fragment orbit of CRTS II on positive stop lug boss, bridge, the plate-type non-fragment orbit self-compacting concretes of CRTS III
Boss, and bridge double-block ballastless track plate lower limit boss etc., the setting major function of these structures is to provide without the tiny fragments of stone, coal, etc.
Track horizontal direction restraining ability under vehicular load and temperature load effect, and level to restraining ability is embodied without tiny fragments of stone, coal, etc. rail
The key of road resistance to overturning.
However, at present design method when being designed to above-mentioned position limiting structure more be based on allowable stress method, with reference to《Railway
Bridges and culverts armored concrete and pr estressed concrete design specification》In design method carry out Reinforcement Design and crackle inspection is calculated, pair set
The true bearing capacity of position limiting structure and hurt evolution process lack understanding after the completion of meter, main reason is that lacking reliable point
Analysis means are emulated to the true destructive process of position limiting structure, and often cost is high for full size model failure test.Position limiting structure
True bearing capacity understanding deficiency also results in the problems for occurring in that position limiting structure destruction in the engineer applied stage, brings the later stage
Substantial amounts of maintenance workload, also brings larger potential safety hazard to high-speed railway safe operation.
The content of the invention
It is a primary object of the present invention to provide a kind of method that position limiting structure bearing capacity is determined, to solve in the prior art
Position limiting structure the problem of be more easily damaged.
To achieve these goals, according to an aspect of the invention, there is provided what a kind of position limiting structure bearing capacity was determined
Method, method includes：According to the actual condition of position limiting structure, extension FEM model is set up, is drawn according to extension FEM model
Enter impairment parameter model and multistage loadings are carried out to position limiting structure so that position limiting structure is cracked, position limiting structure is determined according to crackle
Bearing capacity.
Further, actual condition includes：First actual condition of position limiting structure and it is arranged on matching somebody with somebody in position limiting structure
Second actual condition of muscle.
Further, extension FEM model includes：The the first extension FEM model set up according to the first actual condition
And the second extension FEM model set up according to the second actual condition.
Further, the first actual condition includes concrete bullet mould parameter, Poisson's ratio parameter and mixed mud quality ginseng
Number, the second actual condition includes arrangement of reinforcement sectional dimension parameter, arrangement of reinforcement bullet mould parameter and arrangement of reinforcement yield strength parameter.
Further, impairment parameter model includes concrete destruction stress parameters, mixed mud strain parameter, concrete softening
Model and concrete destruction energy parameter.
Further, concrete softening model is obtained by Hillerborg linear softening models.
Further, method also includes：Impairment parameter model is being introduced so that position limiting structure is cracked until crackle expands
After the completion of exhibition, load-displacement curve is set up according to the load(ing) point of position limiting structure, position limiting structure is determined according to load-displacement curve
Bearing capacity.
Further, method also includes：Impairment parameter model is being introduced so that position limiting structure is cracked until crackle expands
After the completion of exhibition, load-displacement curve is set up according to the load(ing) point of position limiting structure, setting up load according to the crackle after the completion of extension splits
Line tip inlets amount curve, the carrying of position limiting structure is determined according to load-displacement curve and load crack tip amount of opening curve
Power.
Further, it is consolidated after the bottom of position limiting structure and bridge floor are cast-in-place, the bottom surface of position limiting structure uses three-dimensional
Displacement constraint is simulated, and the load(ing) point of position limiting structure is determined according to the forced position of position limiting structure.
Further, position limiting structure is arranged on the types of CRTS I, the types of CRTS II or the plate-type fragment-free track slabs of CRTS III.
Apply the technical scheme of the present invention, the method that position limiting structure bearing capacity is determined, this method is included according to position limiting structure
Actual condition, set up extension FEM model, according to extension FEM model introduce impairment parameter model position limiting structure is entered
Row multistage loadings determine the bearing capacity of position limiting structure according to crackle so that position limiting structure is cracked.Determined using this method
Position limiting structure bearing capacity it is more accurate, improve the setting precision of position limiting structure, add the reliability of position limiting structure.
Brief description of the drawings
The Figure of description for constituting the part of the application is used for providing a further understanding of the present invention, and of the invention shows
Meaning property embodiment and its illustrate be used for explain the present invention, do not constitute inappropriate limitation of the present invention.In the accompanying drawings：
Fig. 1 shows the semicircle positive stop lug boss size of the plate-type non-fragment orbit beam-ends of CRTS I and reinforcement scheme figure；
Fig. 2 shows the semicircle boss extension finite element analysis model of beam-ends；
Fig. 3 shows arrangement of reinforcement model sectional drawing inside beam-ends positive stop lug boss；
Fig. 4 shows arrangement of reinforcement model plan inside beam-ends positive stop lug boss；
Fig. 5 shows Hillerborg linear softening model load-displacement curves；
Fig. 6 shows Hillerborg linear softening model stress-displacement curves；
Fig. 7 shows analysis model boundary condition and loading schematic diagram；
Fig. 8 shows load-displacement curve analysis result；
Fig. 9 shows load-crackle amount of opening tracing analysis result.
Wherein, above-mentioned accompanying drawing is marked including the following drawings：
10th, position limiting structure；20th, arrangement of reinforcement.
Embodiment
It should be noted that in the case where not conflicting, the feature in embodiment and embodiment in the application can phase
Mutually combination.Describe the present invention in detail below with reference to the accompanying drawings and in conjunction with the embodiments.
It should be noted that term used herein above is merely to describe embodiment, and be not intended to restricted root
According to the illustrative embodiments of the application.As used herein, unless the context clearly indicates otherwise, otherwise singulative
It is also intended to include plural form, additionally, it should be understood that, when in this manual using term "comprising" and/or " bag
Include " when, it indicates existing characteristics, step, operation, device, component and/or combinations thereof.
It should be noted that term " first " in the description and claims of this application and above-mentioned accompanying drawing, "
Two " etc. be for distinguishing similar object, without for describing specific order or precedence.It should be appreciated that so using
Term can exchange in the appropriate case, so that presently filed embodiment described herein for example can be with except herein
Order beyond those of diagram or description is implemented.In addition, term " comprising " and " having " and their any deformation, it is intended that
Be to cover it is non-exclusive include, for example, containing process, method, system, product or the equipment of series of steps or unit not
Be necessarily limited to those steps or the unit clearly listed, but may include not list clearly or for these processes, side
The intrinsic other steps of method, product or equipment or unit.
For the ease of description, space relative terms can be used herein, such as " ... on ", " ... top ",
" ... upper surface ", " above " etc., for describing such as a device shown in the figure or feature and other devices or spy
The spatial relation levied.It should be appreciated that space relative terms are intended to comprising the orientation except device described in figure
Outside different azimuth in use or operation.If for example, the device in accompanying drawing is squeezed, be described as " in other devices
It will be positioned as " under other devices or construction after the device of part or construction top " or " on other devices or construction "
Side " or " under other devices or construction ".Thus, exemplary term " ... top " can include " ... top " and
" in ... lower section " two kinds of orientation.The device can also other different modes positioning (being rotated by 90 ° or in other orientation), and
And respective explanations are made to the relative description in space used herein above.
Now, the illustrative embodiments according to the application are more fully described with reference to the accompanying drawings.However, these are exemplary
Embodiment can be implemented by many different forms, and should not be construed to be limited solely to embodiment party set forth herein
Formula.It should be appreciated that thesing embodiments are provided so that disclosure herein is thoroughly and complete, and these are shown
The design of example property embodiment is fully conveyed to those of ordinary skill in the art, in the accompanying drawings, for the sake of clarity, it is possible to expand
The big thickness of layer and region, and make identical device is presented with like reference characters, thus they are retouched by omitting
State.
With reference to shown in Fig. 1 to Fig. 9, there is provided the side that a kind of position limiting structure bearing capacity is determined for embodiments in accordance with the present invention
Method.
This method includes the actual condition according to position limiting structure, sets up extension FEM model, according to extension finite element mould
Type introduces impairment parameter model and multistage loadings is carried out to position limiting structure so that position limiting structure is cracked, and is determined according to crackle spacing
The bearing capacity of structure.
There is provided a kind of non-fragment orbit position limiting structure Design of Bearing Capacity new method in the present embodiment.Set up position limiting structure
Internal actual arrangement of reinforcement model so that position limiting structure destruction evolution process simulation is more true and reliable.In position limiting structure concrete mould
Extension finite element method is introduced in type, realizes and mould is carried out to development path of the crackle under load action inside position limiting structure
Intend.Truly carried by the load-displacement curve in analysis result and load-crack tip amount of opening curve acquisition position limiting structure
Ability so that structure design is more accurate, safe and reliable.Meanwhile, this, which designs a model, can obtain crack propagation path, so that
Corresponding arrangement of reinforcement reinforcement can be carried out according to crack propagation path.The position limiting structure bearing capacity determined using this method is more accurate
Really, the setting precision of position limiting structure is improved, the reliability of position limiting structure is added.
Wherein, the first actual condition of actual condition including position limiting structure and the arrangement of reinforcement 20 that is arranged in position limiting structure
Second actual condition.Extend the first extension FEM model and root that FEM model includes setting up according to the first actual condition
The the second extension FEM model set up according to the second actual condition.
Further, the first actual condition includes concrete bullet mould parameter, Poisson's ratio parameter and mixed mud quality ginseng
Number, the second actual condition includes arrangement of reinforcement sectional dimension parameter, arrangement of reinforcement bullet mould parameter and arrangement of reinforcement yield strength parameter.Impairment parameter
Model includes concrete destruction stress parameters, mixed mud strain parameter, concrete softening model and concrete destruction energy parameter.
Concrete softening model is obtained by Hillerborg linear softening models.
Method in the present embodiment is additionally included in introducing impairment parameter model so that position limiting structure is cracked until crackle
After the completion of extension, load-displacement curve is set up according to the load(ing) point of position limiting structure.Load is set up according to the crackle after the completion of extension
Crack tip amount of opening curve, the carrying of position limiting structure is determined according to load-displacement curve and load crack tip amount of opening curve
Power.
Be consolidated after the bottom of position limiting structure 10 and bridge floor are cast-in-place, the bottom surface of position limiting structure 10 using three direction displacement about
Beam is simulated, and the load(ing) point (as shown by the arrows in Figure 7) of position limiting structure 10 is determined according to the forced position of position limiting structure 10.Spacing knot
Structure 10 is arranged on the types of CRTS I, the types of CRTS II or the plate-type fragment-free track slabs of CRTS III.
Specifically, finite element analysis model is extended by setting up careful position limiting structure, to the stress of true position limiting structure
The destructive process of position limiting structure under situation is emulated, and is obtained position limiting structure hurt development law, is passed through load-displacement curve
And load-crack tip amount of opening curve obtains the true bearing capacity of non-fragment orbit position limiting structure.
In a model, set up position limiting structure to become more meticulous 3D solid analysis model, and introduce extension finite element method,
Allow structure to produce to ftracture and run crackle in position limiting structure in-house development.Meanwhile, according to actual reinforcement scheme in position limiting structure
The FEM model of reinforcing bar is set up in inside, analyzes the crack propagation process of inside concrete, therefore internal reinforcing bar can use beam element
Or solid element is simulated, it is considered to actual reinforcing bar grade, section, and consider reinforcing bar to surrender.Reinforcing bar and concrete section
Simulated between point using spring, spring is simulated to bond between reinforcing bar and concrete in reinforcing bar radial direction with nonlinear spring imitates
Should, reinforcing bar normal direction is then firm spring, and the mutual intrusion between reinforcing bar and concrete is not considered.The model boundary of position limiting structure and lotus
Active position is carried using the boundary condition in actual working state.
Position limiting structure bearing capacity, which designs a model, utilizes the mould for extending finite element method realization to position limiting structure failure procedure
Intend, set up actual arrangement of reinforcement model inside position limiting structure so that position limiting structure destruction evolution process simulation is more true and reliable.Pass through
Load-displacement curve and load in analysis result-true bearing capacity of crack tip amount of opening curve acquisition position limiting structure, make
Obtain structure design more accurate, safety, reliably.Meanwhile, this, which designs a model, can obtain crack propagation path, so as to foundation
Crack propagation path carries out corresponding arrangement of reinforcement reinforcement, optimizing design scheme.
Specific implementation step is as follows：
According to design actual size, position limiting structure solid finite element analysis model is set up；
According to actual reinforcement manner, the finite element analysis model of arrangement of reinforcement inside position limiting structure is set up；
Assign position limiting structure and reinforcing bar real material parameter, including concrete bullet mould, Poisson's ratio, mass parameter, Yi Jigang
Muscle sectional dimension, bullet mould, yield strength etc.；
Introduce concrete hurt parameter, including bursting stress or strain, concrete softening model, concrete destruction energy etc.；
According to position limiting structure design, position limiting structure boundary condition is arranged；
According to structure stress position, multistage loadings are carried out to position limiting structure, until Crack Extension is completed；
Crack Extension position is extracted, and obtains the load-displacement curve of loading Position；
Obtain load-crack tip amount of opening curve；
By load-displacement curve and load-crack tip amount of opening curve, position limiting structure ultimate bearing capacity is obtained.
Specifically, the plate-type non-fragment orbit beam-ends position limiting structure Analysis of Bearing Capacity of CRTS I on bridge.
Position limiting structure of the plate-type non-fragment orbits of CRTS I at end positions is semicircle boss, load type on bridge
Formula is mainly the temperature shrinkage power along circuit longitudinal direction, and its design size and reinforcement scheme are as shown in Figure 1.
According to actual setting size, position limiting structure solid finite element analysis model is set up, as shown in Figure 2.In the present embodiment
In, the method determined using position limiting structure bearing capacity, this method includes the actual condition according to position limiting structure, sets up extension limited
Meta-model, introduces impairment parameter model according to extension FEM model and carries out multistage loadings to position limiting structure so that position limiting structure is produced
Raw crackle, the bearing capacity of position limiting structure is determined according to crackle.The position limiting structure bearing capacity determined using this method is more accurate,
The setting precision of position limiting structure is improved, the reliability of position limiting structure is added.Meanwhile, this, which designs a model, can obtain crackle expansion
Path is opened up, so as to carry out corresponding arrangement of reinforcement reinforcement according to crack propagation path.The position limiting structure determined using this method
Bearing capacity is more accurate, improves the setting precision of position limiting structure.
According to actual reinforcement manner, the finite element analysis model of arrangement of reinforcement inside position limiting structure is set up, as shown in Figure 3 and Figure 4.
Wherein, boss and submount material are C40 concrete, and elasticity modulus of materials 34000MPa, Poisson's ratio 0.167 is mixed
Solidifying soil ultimate tensile stress ft=2.7MPa, concrete material failure criteria uses maximum tension stress criterion, obeys T-S
(Tracktion-Seperation Law) criterion.
Concrete softening model selection Hillerborg linear softening models, its stress-strain relation and Stress displacement relation
As shown in Figure 5 and Figure 6.Wherein, represent to represent Critical Cracking point at Initial Cracking point, B at the A in Fig. 5.
According to structural design scheme, it is consolidated, considers in partial model the bottom of at after bedplate bottom and bridge floor are cast-in-place
Seat bottom surface sets three direction displacement to constrain, according to structure stress position, carries out multistage loadings to position limiting structure, model boundary condition and
Loading signal is as shown in Figure 7.
By extending Finite element analysis results, semicircle boss destruction evolution process is obtained.Obtain the lotus of loading Position
Load-displacement curve, as shown in figure 8, wherein, abscissa represents boss length travel amount, unit mm, the longitudinal axis represents that boss is longitudinally cut
Shear force, unit is KN.
Load-crack tip amount of opening curve is obtained as shown in figure 9, passing through load-displacement curve and load-crack tip
Amount of opening curve, it is 85.6kN to obtain the semicircle boss position limiting structure ultimate bearing capacity of the types of CRTS I on bridge, and boss is left in 54kN
Rapid extension trend is presented in crackle during right position, and now arrangement of reinforcement produces surrender inside positive stop lug boss.Wherein, represent initially to open at A
Knick point, abscissa represents crackle amount of opening, unit mm, and the longitudinal axis represents boss longitudinal shear, and unit is KN.
The preferred embodiments of the present invention are the foregoing is only, are not intended to limit the invention, for the skill of this area
For art personnel, the present invention can have various modifications and variations.Within the spirit and principles of the invention, that is made any repaiies
Change, equivalent substitution, improvement etc., should be included in the scope of the protection.
Claims (10)
1. a kind of method that position limiting structure bearing capacity is determined, it is characterised in that methods described includes：
According to the actual condition of position limiting structure, extension FEM model is set up, is introduced and damaged according to the extension FEM model
Parameter model carries out multistage loadings to the position limiting structure so that the position limiting structure is cracked, and institute is determined according to the crackle
State the bearing capacity of position limiting structure.
2. according to the method described in claim 1, it is characterised in that the actual condition includes：
Second actual condition of the first actual condition of the position limiting structure and the arrangement of reinforcement being arranged in the position limiting structure.
3. method according to claim 2, it is characterised in that the extension FEM model includes：
First set up according to first actual condition extends FEM model and set up according to second actual condition
Second extension FEM model.
4. method according to claim 2, it is characterised in that first actual condition include concrete bullet mould parameter,
Poisson's ratio parameter and mixed mud mass parameter, second actual condition, which includes arrangement of reinforcement sectional dimension parameter, arrangement of reinforcement bullet mould, joins
Number and arrangement of reinforcement yield strength parameter.
5. according to the method described in claim 1, it is characterised in that the impairment parameter model is joined including concrete destruction stress
Number, mixed mud strain parameter, concrete softening model and concrete destruction energy parameter.
6. method according to claim 5, it is characterised in that the concrete softening model is linear by Hillerborg
Softening modulus method is obtained.
7. according to the method described in claim 1, it is characterised in that methods described also includes：
In the introducing impairment parameter model so that the position limiting structure is cracked after the completion of the Crack Extension, according to
The load(ing) point of the position limiting structure sets up load-displacement curve, and holding for the position limiting structure is determined according to the load-displacement curve
Carry power.
8. according to the method described in claim 1, it is characterised in that methods described also includes：
In the introducing impairment parameter model so that the position limiting structure is cracked after the completion of the Crack Extension, according to
The load(ing) point of the position limiting structure sets up load-displacement curve, and load crack tip is set up according to the crackle after the completion of extension
Amount of opening curve, the position limiting structure is determined according to the load-displacement curve and the load crack tip amount of opening curve
Bearing capacity.
9. according to the method described in claim 1, it is characterised in that be fixedly arranged at after the bottom of the position limiting structure and bridge floor are cast-in-place
Together, the bottom surface of the position limiting structure constrains simulation using three direction displacement, and institute is determined according to the forced position of the position limiting structure
State the load(ing) point of position limiting structure.
10. according to the method described in claim 1, it is characterised in that the position limiting structure is arranged at the types of CRTS I, the types of CRTS II
Or on the plate-type fragment-free track slabs of CRTS III.
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