CN106326600B - Analysis method is engineered based on the main push-towing rope sensibility of stretching force or forced displacement value - Google Patents
Analysis method is engineered based on the main push-towing rope sensibility of stretching force or forced displacement value Download PDFInfo
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Abstract
Analysis method is engineered based on the main push-towing rope sensibility of stretching force or forced displacement value the present invention provides a kind of, key step includes: to establish empty cable shape model；Apply boundary condition, i.e., at the end bay anchoring of empty cable shape model and bridge tower position applies vertical and horizontal direction displacement constraint；Heating drop load；Add gravity load；It is returned to empty cable shape；Apply the predetermined predetermined forced displacement of stretching force/application.Modeling process is simplified, classification is further applied load, so that calculating process is easier to restrain without establishing the whole bridge model of suspension bridge using analysis method provided by the present invention.Can rapid evaluation main push-towing rope tensioning sensibility, both may determine that suspender tension to position of attaching the names of pre-determined candidates needed great stretching force, this is related to the type selecting of stretch-draw jack；Also may determine that under specific stretching force, sunpender can tensioning in place.
Description
Technical field
The invention belongs to the main push-towing rope suspender tension of large-scale suspension bridge and engineering analysis fields, more particularly, to based on tensioning
The main push-towing rope sensibility of power or forced displacement value is engineered analysis method.
Background technique
Suspension bridge is a kind of maximum bridge type of current across footpath ability, main push-towing rope as main supporting member, bear cord clip and
The stiff girder and bridge floor dead load of sunpender transmitting and various mobile loads, and load is transferred at the top of bridge tower.In large-scale suspension bridge
In construction, the determination of main push-towing rope suspender tension scheme is directly determined to the analysis of main push-towing rope sensibility, is in suspension bridge construction
Key technology.To the computational theory of main rope of suspension bridge stress, main flexible theoretical, deflection theory and finite displacement theory.
With continuing to increase for span of bridge, the geometrical non-linearity of main rope of suspension bridge seems especially prominent, the knot generated under load action
Structure big displacement will generate apparent influence to the internal force of suspension bridge.Therefore, to main push-towing rope under first internal force and newly increased load effect
Deformation and internal force carry out analytical calculation, it is extremely important for the construction of suspension bridge.
With the development of computer technology and the appearance of professional finite element software, the analysis of main rope of suspension bridge stress is got over
Carry out more use FInite Elements.The grid model of suspension bridge is established by using suitable unit, then applies suitable boundary
Condition and corresponding load, iteratively solve the stiffness matrix of structure, and the information such as internal force and the displacement of main push-towing rope can be obtained.But this is needed
It wants technical staff not only to have the professional knowledge of bridge construction construction, and need to have preferable reason to finite element theory and professional software
Solution.In practical suspension bridge construction, generally require rapidly to judge the tensioning sensibility of main push-towing rope, and it is excessively complicated fine
Model analysis to the more demanding of engineers and technicians so that can not timely provide effective data auxiliary formulates cable
Drawing scheme.
The tensioning calculating of existing main rope of suspension bridge, which at least has the disadvantage in that, generally requires to establish more complicated space
Model, all information of this no doubt available main push-towing rope tensioning, but when primarily determining main push-towing rope stretching plan in engineering, it needs fast
The tensioning sensibility of speed assessment main push-towing rope, i.e., it is determining under the main push-towing rope displacement or the displacement of specific suspender tension under specific stretching force,
Need to apply great stretching force.The modeling of spatial model method and calculating time are longer, and boundary condition treatment is complicated, and due to master
The non-linear calculating process that often leads to of cable itself is difficult to restrain, and is not easy to engineer application.Therefore, how to simplify modeling process,
The tensioning sensibility for quickly and effectively assessing main rope of suspension bridge, proposes a kind of rapid evaluation main push-towing rope sensibility of suitable engineer application
Analysis method, be this field engineers and technicians' problem to be solved.
Summary of the invention
In view of this, the present invention is directed to propose being engineered analysis side based on the main push-towing rope sensibility of stretching force or forced displacement value
Method.
In order to achieve the above objectives, the technical scheme of the present invention is realized as follows:
It is a kind of that analysis method is engineered based on the main push-towing rope sensibility of stretching force or forced displacement value, include the following steps:
1. the empty cable coordinate according to main push-towing rope establishes the linear shape model under free cable；By density of material, elasticity modulus,
The attributes such as thermal expansion coefficient and sectional area assign empty cable model described in step 1；
2. at step 1. the end bay anchoring of the middle empty cable shape model established and bridge tower position applies vertical and horizontal direction
Displacement constraint；
3. keeping at above-mentioned end bay anchoring and bridge tower position applies vertically and horizontal direction displacement constraint is constant, main push-towing rope is applied
Temperature drop load makes main push-towing rope shrink tensioning, is equivalent to application structural initial pre stress；
4. keeping above-mentioned temperature drop load constant, gravity load is applied to main push-towing rope；
5. calculate in the lower model of above-mentioned temperature drop load and gravity load effect, and with step 1. in foundation
Empty cable shape model compares, and if displacement difference is more than permissible value, then return step four, adjustment temperature drop load calculate again, such as
Displacement difference within the allowable range, into next step；
6. applying predetermined stretching force or forced displacement value at the corresponding sunpender node of main push-towing rope, main push-towing rope tensioning sensibility is carried out
Assessment.
Further, the cell type of the empty cable shape model selects truss element or beam element.
Further, the cell type of the empty cable shape model is defined as can only tension type.
Further, when carrying out step 3., the rotation of release empty cable shape model end bay anchor point and bridge tower position node is certainly
By spending.
Further, the temperature drop load and gravity load hierarchical loading.
Further, step 6. in, the judgement of main push-towing rope sensibility is carried out on the empty cable model of recurrence, at corresponding sunpender node
Apply predetermined stretching force, the displacement information of main push-towing rope can be obtained；Apply forced displacement at corresponding sunpender node simultaneously, institute can be obtained
The stretching force size needed.
Further, when carrying out empty cable shape recurrence, main push-towing rope displacement difference is in millimeter order.
Compared with the existing technology, present invention has the advantage that
Using analysis method provided by the present invention, can rapid evaluation main push-towing rope tensioning sensibility, without establishing suspension bridge
Whole bridge model, simplify modeling process, classification is further applied load so that calculating process be easier restrain.Only need areal model i.e.
Higher computational accuracy can be obtained, can be used for assessing the tensioning sensibility of main rope of suspension bridge easily and fast, convenient for first in engineering
Walk the stretching plan for determining main push-towing rope.Both it may determine that suspender tension to position of attaching the names of pre-determined candidates needed great stretching force, this is related to opening
Draw the type selecting of jack；Also may determine that under specific stretching force, sunpender can tensioning in place.
Detailed description of the invention
The attached drawing for constituting a part of the invention is used to provide further understanding of the present invention, schematic reality of the invention
It applies example and its explanation is used to explain the present invention, do not constitute improper limitations of the present invention.In the accompanying drawings:
Fig. 1 is analysis method schematic diagram of the invention；
Fig. 2 is the main rope of suspension bridge linear shape model schematic diagram built；
Fig. 3 is the main cable alignment model schematic for applying boundary condition；
Fig. 4 is the main cable alignment model schematic for applying temperature drop load；
Fig. 5 is the main push-towing rope model schematic for being returned to empty cable shape；
Fig. 6 is the main push-towing rope displacement diagram applied under predetermined stretching force (100 tons of 51# node)；
Fig. 7 is the boom tensile force schematic diagram of (51# suspender tension 574mm) when applying forced displacement；
Fig. 8 is the comparison diagram of main push-towing rope tensioning linear (synchronous tension 51#-48# sunpender) and empty cable shape.
Description of symbols:
The hole 1- cable type；2- returns line style；3- sunpender；4- tensioning line style.
Specific embodiment
It should be noted that in the absence of conflict, the feature in embodiment and embodiment in the present invention can phase
Mutually combination.
In the description of the present invention, it is to be understood that, term " center ", " longitudinal direction ", " transverse direction ", "upper", "lower",
The orientation or positional relationship of the instructions such as "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outside" is
It is based on the orientation or positional relationship shown in the drawings, is merely for convenience of description of the present invention and simplification of the description, rather than instruction or dark
Show that signified device or element must have a particular orientation, be constructed and operated in a specific orientation, therefore should not be understood as pair
Limitation of the invention.In addition, term " first ", " second " etc. are used for description purposes only, it is not understood to indicate or imply phase
To importance or implicitly indicate the quantity of indicated technical characteristic.The feature for defining " first ", " second " etc. as a result, can
To explicitly or implicitly include one or more of the features.In the description of the present invention, unless otherwise indicated, " multiple "
It is meant that two or more.
In the description of the present invention, it should be noted that unless otherwise clearly defined and limited, term " installation ", " phase
Even ", " connection " shall be understood in a broad sense, for example, it may be being fixedly connected, may be a detachable connection, or be integrally connected；It can
To be mechanical connection, it is also possible to be electrically connected；It can be directly connected, can also can be indirectly connected through an intermediary
Connection inside two elements.For the ordinary skill in the art, above-mentioned term can be understood by concrete condition
Concrete meaning in the present invention.
1 to attached drawing 8 below with reference to the accompanying drawings, and comes that the present invention will be described in detail in conjunction with the embodiments.Key step includes: to establish
Empty cable shape model；Apply boundary condition；Heating drop load；Add gravity load；It is returned to empty cable shape；Apply predetermined tensioning
The predetermined forced displacement of power/application, specific:
Step 1: empty cable shape model being established according to the node coordinate of main rope of suspension bridge, as shown in Figure 2.Cell type is optional
With truss element or beam element, main push-towing rope unit is defined as can only tension；
Step 2: assigning the attributes such as density of material, elasticity modulus, thermal expansion coefficient and sectional area to built sky cable model；
Step 3: as shown in figure 3, constraining horizontal and vertical displacement is applied at the top of main push-towing rope end bay anchor point and bridge tower, simultaneously
Discharge its rotational freedom；
Step 4: temperature drop Δ T, the displacement that the temperature drop Δ T passes through judgement and the empty cable shape 1 are calculated according to formula (1)
Difference is obtained by adjusting modeling computation repeatedly.It is applied to step 1 model built using temperature drop load as predefined field, such as Fig. 4 institute
Show, applies the main push-towing rope model of temperature drop load；
Δ T indicates temperature drop value in formula, DEG C；F indicates stretching force application value, N；EsIndicate elasticity modulus, MPa；AeffIndicate steel
Beam effective sectional area, mm2；α indicates steel beam thermal expansion coefficient ,/DEG C.
Step 5: apply gravity load, the main push-towing rope calculated under temperature drop load and gravity load collective effect is displaced, and with
The built empty cable shape 1 of step 1 compares, when displacement difference within the allowable range of values, then it is assumed that model has been returned to step 1 and has been built
Empty cable shape, otherwise, return step 4, amendment temperature drop value continue tentative calculation, until displacement difference reaches permissible value.It has been returned to sky cable
Linear model is to return line style 2, as shown in Figure 5 (, model displacement equations 1000 times displays convenient for display), at this time dominant bit
Moving difference is 0.6mm, and least displacement difference is -4.95mm, it is believed that within the allowable range；
Step 6: carrying out the judgement of main push-towing rope sensibility on the empty cable model of recurrence, apply at corresponding 3 node of sunpender predetermined
The displacement information of main push-towing rope can be obtained in stretching force；Apply forced displacement at corresponding 3 node of sunpender simultaneously, required can be obtained
Pulling force size.Apply the predetermined stretching force or the predetermined forced displacement in suspender tension node, completes sensitive to main push-towing rope
The judgement of property and primarily determining for stretching plan.Fig. 6 is that main push-towing rope is everywhere when 51# sunpender node applies 100 tons of stretching forces
Change in displacement；When Fig. 7 is 51# suspender tension 574mm, required stretching force is 100 tons.
In step 4, preferably classification applies temperature drop load and gravity load, helps to improve the convergence of model calculating.
It should be noted that empty cable shape model needs to return again after applying the gravity load and temperature drop load
Return to the empty cable shape, when step 5 carries out empty cable shape recurrence, when main push-towing rope displacement difference is in millimeter order, can recognize
Within an acceptable range for error.
In step 6, not only can independent tensioning some sunpender, can also a certain group of sunpender of simultaneous tension, form tensioning
Line style 4, as shown in figure 8, be simultaneous tension 51#-48# sunpender when main push-towing rope linear variation.
Using analysis method provided by the present invention, the engineers and technicians of this field can rapid evaluation main push-towing rope tensioning it is quick
Perception simplifies modeling process, classification is further applied load, so that calculating process is easier without establishing the whole bridge model of suspension bridge
Convergence.It only needs areal model that higher computational accuracy can be obtained, can be used for assessing the tensioning of main rope of suspension bridge easily and fast
Sensibility, convenient for primarily determining the stretching plan of main push-towing rope in engineering.Both it is much to have may determine that suspender tension to position of attaching the names of pre-determined candidates needed
Stretching force, this is related to the type selecting of stretch-draw jack (jack model is uncertain)；Also it may determine that under specific stretching force
(jack model has been determined), sunpender can tensioning in place.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention
Within mind and principle, any modification, equivalent replacement, improvement and so on be should all be included in the protection scope of the present invention.
Claims (7)
1. a kind of be engineered analysis method based on the main push-towing rope sensibility of stretching force or forced displacement value, which is characterized in that including such as
Lower step:
1. the empty cable coordinate according to main push-towing rope establishes the linear shape model under free cable；
2. at step 1. the end bay anchoring of the middle empty cable shape model established and the application of bridge tower position is vertically displaced with horizontal direction
Constraint；
3. keeping at above-mentioned end bay anchoring and bridge tower position applies vertically and horizontal direction displacement constraint is constant, temperature drop is applied to main push-towing rope
Load makes main push-towing rope shrink tensioning；
4. keeping above-mentioned temperature drop load constant, gravity load is applied to main push-towing rope；
5. calculate in the lower model of above-mentioned temperature drop load and gravity load effect, and with step 1. in foundation empty cable
Linear shape model compares, and if displacement difference is more than permissible value, then return step four, adjustment temperature drop load are calculated again, be such as displaced
Difference within the allowable range, into next step；
6. applying predetermined stretching force or forced displacement value at the corresponding sunpender node of main push-towing rope, commenting for main push-towing rope tensioning sensibility is carried out
Estimate.
2. according to claim 1 be engineered analysis method based on the main push-towing rope sensibility of stretching force or forced displacement value,
Be characterized in that: the cell type of the empty cable shape model selects truss element or beam element.
3. according to claim 2 be engineered analysis method based on the main push-towing rope sensibility of stretching force or forced displacement value,
Be characterized in that: the cell type of the empty cable shape model is defined as can only tension type.
4. according to claim 1 be engineered analysis method based on the main push-towing rope sensibility of stretching force or forced displacement value,
It is characterized in that: when carrying out step 3., discharging the rotational freedom of empty cable shape model end bay anchor point and bridge tower position node.
5. according to claim 1 be engineered analysis method based on the main push-towing rope sensibility of stretching force or forced displacement value,
It is characterized in that: the temperature drop load and gravity load hierarchical loading.
6. according to claim 1 be engineered analysis method based on the main push-towing rope sensibility of stretching force or forced displacement value,
Be characterized in that: step 6. in, the judgement of main push-towing rope sensibility is carried out on the empty cable model of recurrence, is applied at corresponding sunpender node pre-
Determine stretching force, the displacement information of main push-towing rope can be obtained；Apply forced displacement at corresponding sunpender node simultaneously, required can be obtained
Pulling force size.
7. according to claim 6 be engineered analysis method based on the main push-towing rope sensibility of stretching force or forced displacement value,
Be characterized in that: when carrying out empty cable shape recurrence, main push-towing rope displacement difference is in millimeter order.
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| CN107025342B (en) * | 2017-03-31 | 2018-04-27 | 中建三局第一建设工程有限责任公司 | Suspension cable single tension Dynamic Construction control method based on basis of sensitivity analysis |
| CN107190646B (en) * | 2017-07-03 | 2018-08-21 | 东南大学 | Suspension bridge sunpender is unstressed cutting length modification method |
| CN112446100A (en) * | 2019-08-14 | 2021-03-05 | 深圳市建筑设计研究总院有限公司 | Pre-internal force of torsion member and calculation method thereof |
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