CN108345764B - Curved bridge Pier Design system and method - Google Patents

Curved bridge Pier Design system and method Download PDF

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CN108345764B
CN108345764B CN201810292769.3A CN201810292769A CN108345764B CN 108345764 B CN108345764 B CN 108345764B CN 201810292769 A CN201810292769 A CN 201810292769A CN 108345764 B CN108345764 B CN 108345764B
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pier
bridge
construction
formula
limb
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CN108345764A (en
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刘丹娜
李茜
王登科
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China Communication North Road and Bridge Co Ltd
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China Communication North Road and Bridge Co Ltd
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    • GPHYSICS
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Abstract

The present invention provides a kind of curved bridge Pier Design system and method, comprising: constructs the threedimensional model of bridge, model uses beam element;The vertical bridge of solid pier and hollow pier is constructed to the model of width;Construct the thrust stiffness model of single limb formula pier and double limb formula piers;Construct the Bending Rigidity Model of single limb formula pier and double limb formula piers;The load born in simulation bridge construction process, to obtain the load that each beam element is born;The load born according to each beam element, the combination that solid pier, hollow pier, single limb formula pier and double limb formula piers are selected according to thrust stiffness, bending stiffness and double limb spacing, the thrust stiffness is the smaller the better, the bending stiffness is the bigger the better, and double limb spacing are the bigger the better in difficulty of construction and cost-range.The system and method can optimize the multiple choices of bridge pier, obtain optimum composition method.

Description

Curved bridge Pier Design system and method
Technical field
The present invention relates to technical field of bridge construction, more specifically, are related to a kind of curved bridge Pier Design system and method.
Background technique
Bridge pier is to support bridge span structure and object is built in the Asia that horizontal load and vehicle active load reach ground, it is acted on more in curved bridge Add obvious.The horizontal curve of curved bridge is curve, and there are many differences in terms of structural modeling and stress with straight bridge.The prior art In, the solid pier of the single limb of the small selection of span, span is big using double limb hollow piers, and beam bridge is typically all single pier, only continuous rigid frame Bridge just uses double-limb pier, none analysis system carries out the multiple choices of bridge pier according to Bridge Design parameter and construction environment Optimization, be easy to cause construction cost excessively high or bridge pier bearing capacity is inadequate.
Summary of the invention
In view of the above problems, the object of the present invention is to provide a kind of curved bridge Pier Design systems of multiple choices for optimizing bridge pier System and system.
According to an aspect of the present invention, a kind of curved bridge Pier Design system is provided, comprising:
Bridge analog module, constructs the threedimensional model of bridge, and model uses beam element;
Bridge pier indulges bridge and constructs module to width model, and (1) and (2) constructs indulging for solid pier and hollow pier according to the following formula respectively Model of the bridge to width
Wherein, α is the concrete wire coefficient of expansion, and the temperature change of environment when Δ T is construction, L is top girder overall length, P For pier top horizontal thrust, l is main pier height, and E is main pier elasticity modulus, and the main pier direction across bridge width of B, H is that main pier indulges bridge Xiang Kuandu, B ' is the direction across bridge width inside hollow pier, the vertical bridge Xiang Kuandu inside H ' hollow pier;
Thrust stiffness model construction module, (3) and (4) construct single limb formula pier and pair anti-the pushing away of limb formula piers according to the following formula respectively Rigidity model,
Wherein, KaFor the thrust stiffness of single limb formula pier, KbFor the thrust stiffness of double limb formula piers;
Bending Rigidity Model constructs module, respectively the bending resistance of (5) and (6) building single limb formula pier and double limb formula piers according to the following formula Rigidity model
Ja=0.67BH3 (5)
Wherein, JaFor the bending stiffness of single limb formula pier, JbFor the bending stiffness of double limb formula piers, r is double limb spacing;
Load applies module, simulates the load born in bridge construction process, is born to obtain each beam element Load;
Composite module applies load that each beam element that module obtains born, according to thrust stiffness, anti-according to load Curved rigidity and double limb spacing select the combination of solid pier, hollow pier, single limb formula pier and double limb formula piers, and the thrust stiffness is got over Small better, the bending stiffness is the bigger the better, and double limb spacing are the bigger the better in difficulty of construction and cost-range.
Beam bridge is typically all single pier compared with the existing technology, and only continuous rigid frame bridge just uses double-limb pier.Above-mentioned curved bridge Pier Design system consider continuous rigid frame bridge bridge pier and beam body Bending Moment Distribution by the two relative rigidity, therefore it is reasonable just Mechanics feature of the degree than that should be able to meet structure, energy structure give full play to the loading characteristic of material, improve the internal force distribution of inside configuration, Reach the optimization of design.
According to another aspect of the present invention, a kind of curved bridge Pier Design method is provided, comprising:
The threedimensional model of bridge is constructed, model uses beam element;
Distinguish the model for constructing the vertical bridge of solid pier and hollow pier according to the following formula (1) and (2) to width
Wherein, α is the concrete wire coefficient of expansion, and the temperature change of environment when Δ T is construction, L is top girder overall length, P For pier top horizontal thrust, l is main pier height, and E is main pier elasticity modulus, and the main pier direction across bridge width of B, H is that main pier indulges bridge Xiang Kuandu, B ' is the direction across bridge width inside hollow pier, the vertical bridge Xiang Kuandu inside H ' hollow pier;
(3) and (4) construct single limb formula pier and pair thrust stiffness model of limb formula piers according to the following formula respectively,
Wherein, KaFor the thrust stiffness of single limb formula pier, KbFor the thrust stiffness of double limb formula piers;
(5) and (6) construct single limb formula pier and pair Bending Rigidity Model of limb formula piers according to the following formula respectively
Ja=0.67BH3 (5)
Wherein, JaFor the bending stiffness of single limb formula pier, JbFor the bending stiffness of double limb formula piers, r is double limb spacing;
The load born in simulation bridge construction process, to obtain the load that each beam element is born;
The load born according to each beam element, selected according to thrust stiffness, bending stiffness and double limb spacing solid pier, The combination of hollow pier, single limb formula pier and double limb formula piers, the thrust stiffness is the smaller the better, the bending stiffness it is more big more Good, double limb spacing are the bigger the better in difficulty of construction and cost-range.
Curved bridge Pier Design system and method for the present invention combines multiple models to select the combination of bridge pier, Optimize the combination of bridge pier.
Detailed description of the invention
By reference to the explanation below in conjunction with attached drawing, with a more complete understanding of the present invention, other purposes of the invention And result will be more clearly understood and understood.In the accompanying drawings:
Fig. 1 is the composition block diagram of curved bridge Pier Design system of the present invention;
Fig. 2 is the schematic diagram of double limb hollow piers;
Fig. 3 a is the schematic diagram of single limb formula pier;
Fig. 3 b be in Fig. 3 a A-A to schematic diagram;
Fig. 4 a is the schematic diagram of double limb formula piers;
Fig. 4 b be in Fig. 4 a C-C to schematic diagram;
Fig. 5 a is the schematic diagram of the antitorque analysis of single limb formula pier;
Fig. 5 b is the schematic diagram of the antitorque analysis of double limb formula piers;
Fig. 6 is the flow chart of curved bridge Pier Design method of the present invention.
Specific embodiment
In the following description, for purposes of illustration, it in order to provide the comprehensive understanding to one or more embodiments, explains Many details are stated.It may be evident, however, that these embodiments can also be realized without these specific details. Hereinafter, specific embodiments of the present invention will be described in detail with reference to the accompanying drawings.
Hereinafter, specific embodiments of the present invention will be described in detail with reference to the accompanying drawings.
Fig. 1 is the composition block diagram of curved bridge Pier Design system of the present invention, as shown in Figure 1, curved bridge bridge of the present invention Pier designing system includes:
Bridge analog module 10, constructs the threedimensional model of bridge, and model uses beam element;
Bridge pier indulges bridge and constructs module 20 to width model, as shown in Fig. 2, (1) and (2) constructs solid pier according to the following formula respectively With the vertical bridge of hollow pier to the model of width
Wherein, α is the concrete wire coefficient of expansion, and the temperature change of environment when Δ T is construction, L is top girder overall length, P For pier top horizontal thrust, l is main pier height, and E is main pier elasticity modulus, and the main pier direction across bridge width of B, H is that main pier indulges bridge Xiang Kuandu, B ' is the direction across bridge width inside hollow pier, the vertical bridge Xiang Kuandu inside H ' hollow pier;
Thrust stiffness model construction module 30, (3) and (4) construct resisting for single limb formula pier and double limb formula piers according to the following formula respectively Rigidity model is pushed away,
Wherein, KaFor the thrust stiffness of single limb formula pier, KbFor the thrust stiffness of double limb formula piers, when the two sectional area is identical Under the conditions of, the thrust stiffness of double limb formula piers is 1/4 times of single limb formula pier thrust stiffness, and the continuous rigid frame bridge using double limb formulas can have The receiving of effect by concrete creep, caused by the reasons such as temperature change along bridge to displacement, mechanical property is more preferable;
Bending Rigidity Model constructs module 40, such as Fig. 3 a and 3b, respectively according to the following formula (5) and (6) construct single limb formula pier with The Bending Rigidity Model of double limb formula piers
Ja=0.67BH3 (5)
Wherein, JaFor the bending stiffness of single limb formula pier, JbFor the bending stiffness of double limb formula piers, r is double limb spacing, can be H Multiple, for example, when r=2H, 3H, 4H, JaAnd JbBe compared as follows table
Table 1
As can be seen from the above table, double limb formula piers are less than single limb formula pier in the stress level of Cantilever Construction.Double limb formulas Pier along bridge to bending resistance on preferably;
Load applies module 50, simulates the load born in bridge construction process, is held to obtain each beam element The load received;
Composite module 60, according to load apply module obtain each beam element born load, according to thrust stiffness, Bending stiffness and double limb spacing select the combination of solid pier, hollow pier, single limb formula pier and double limb formula piers, the thrust stiffness The smaller the better, the bending stiffness is the bigger the better, and double limb spacing are the bigger the better in difficulty of construction and cost-range.
In one embodiment of the invention, further includes:
Double limb spacing models construct module 70, and (7) and (8) construct pair double limb spacing of the solid pier of limb according to the following formula respectively The model of double limb spacing of model and double limb hollow piers,
Wherein, Δ M is unbalanced moment,For concrete tensile strength standard value, I is cross sectional moment of inertia.
In yet another embodiment of the present invention, further includes:
Torsional rigidity model construction module 80, the cross being subject to such as Fig. 4 a and 4b, the antitorque torque of single limb formula pier according to bridge pier It is determined to torque, as shown in fig. 4 a, when single limb formula pier is produced rotational angle theta by lateral torsion MT, then pier top will also generate Corresponding torsion angle resists torque M " T to can generate;The antitorque torque of double limb formula piers includes bridge pier itself because torsion generates The resistance torque resisting torque and body of a bridge direction across bridge horizontal displacement and generating, as shown in Figure 4 b, it is opposite that double limb formula piers accept situation Complicated: other than and generating torsion angle at the top of each limb, each pier stud can also generate the relative displacement of direction across bridge, the two angles position It moves and displacement of the lines, the two angular displacements and displacement of the lines can bear torque.It on the one hand is bridge pier itself because what torsion generated supports Torque resistant M "Tb;The other is due to the resistance torque M ' of pier shaft direction across bridge horizontal displacement generationTb, M 'Tb=Fb× 2r, wherein Fb It is direction across bridge horizontal force, therefore the summation for resisting torque is MTb=M 'Tb+2M″Tb=2rFb+2M″Tb, 2rFbValue be much larger than 2M″Tb, so the main resistance torque of double-limb pier is the resistance torque generated by relative displacement, with proportional r.Double-standard pier Lateral anti-twisting property be much better than single limb formula pier.
Wherein, the composite module 60 selects solid pier, hollow pier, single limb formula pier and double limb formula piers herein in connection with torsional rigidity Combination, torsional rigidity is the bigger the better.
In order to verify the reasonability of combination, in a preferred embodiment of the invention, above-mentioned curved bridge Pier Design System further include:
The design parameter of the bridge of construction is completed in knowledge base 90, storage;
Matching module 100 to non-construction bridges and is completed the bridge of construction and matches according to design parameter, obtain with Non- construction bridges are similar to be completed construction bridges;
Accuracy rate computing module 110 is calculated and is not applied according to the following formula (9) using the bridge pier combinations of construction bridges is completed The accuracy of the various combinations of work bridge,
Wherein, Z is a kind of accuracy of combination, and n is indicated and the matched construction bridges that are completed of non-construction bridges Number, hit (i) indicate the combination and the combination for each beam element that construction bridges are completed of each beam element of non-construction bridges The identical number of mode,
Wherein, composite module 60 selects the combination of non-construction bridges herein in connection with accuracy, and the higher the better for accuracy.
Preferably, matching module 100 includes:
Cluster cell 101, using clustering algorithm (Hierarchical Clustering, K mean cluster etc.) according to multiple design parameters to complete It is clustered at construction bridges, obtains the corresponding cluster result set of different designs parameter;
Judging unit 102 judges that multiple cluster result set are sent a signal to the presence or absence of intersection if there is intersection First matching unit;If there is no intersection, the second matching unit is sent a signal to;
Construction bridges set is completed using intersection as similar in first matching unit 103;
Construction bridges are completed using the cluster result combined according to span of bridge as similar in second matching unit 104 Set.
Fig. 5 is the flow chart of curved bridge Pier Design method of the present invention, as shown in figure 5, the curved bridge Pier Design side Method includes:
Step S1, constructs the threedimensional model of bridge, and model uses beam element;
Step S2 distinguishes the model for constructing the vertical bridge of solid pier and hollow pier according to the following formula (1) and (2) to width
Wherein, α is the concrete wire coefficient of expansion, and the temperature change of environment when Δ T is construction, L is top girder overall length, P For pier top horizontal thrust, l is main pier height, and E is main pier elasticity modulus, and the main pier direction across bridge width of B, H is that main pier indulges bridge Xiang Kuandu, B ' is the direction across bridge width inside hollow pier, the vertical bridge Xiang Kuandu inside H ' hollow pier;
Step S3, (3) and (4) construct single limb formula pier and pair thrust stiffness model of limb formula piers according to the following formula respectively,
Wherein, KaFor the thrust stiffness of single limb formula pier, KbFor the thrust stiffness of double limb formula piers;
Step S4, (5) and (6) construct single limb formula pier and pair Bending Rigidity Model of limb formula piers according to the following formula respectively
Ja=0.67BH3 (5)
Wherein, JaFor the bending stiffness of single limb formula pier, JbFor the bending stiffness of double limb formula piers, r is double limb spacing;
Step S5 simulates the load born in bridge construction process, to obtain the load that each beam element is born;
Step S6, the load born according to each beam element are selected according to thrust stiffness, bending stiffness and double limb spacing The combination of solid pier, hollow pier, single limb formula pier and double limb formula piers, the thrust stiffness is the smaller the better, the bending stiffness It is the bigger the better, double limb spacing are the bigger the better in difficulty of construction and cost-range.
Preferably, when pier height is smaller, double thin wall pier along bridge to width H between 2.0-4.0m, and be set as solid pier or Person's hollow pier, bridge pier is higher, and the value is bigger.The internal force difference of both solid pier and hollow pier is simultaneously little, at 1.1 times or so, and The moment of inertia of solid pier is more much bigger than hollow pier, and for the angle of stress, solid pier is by axle power and lateral moment of flexure than sky Heart pier is more safer, more conducively arrangement of reinforcement, but hollow pier is more saved from the point of view of project amount.Particularly, for curved bridge, in construction rank Section should not select too thin Thin-Wall Piers due to antitorque needs, because having more certain torsional rigidity.With the high raising of pier, The Line stiffness of main pier reduces, and can satisfy the needs of deformation, selects hollow thin-walled high pier that can increase main pier torsional rigidity and stabilization Property.
In one embodiment of the invention, the curved bridge Pier Design method is also wrapped between step S3 and step S4 It includes:
(7) and (8) construct pair model of double limb spacing of the solid pier of limb and pair double limbs of limb hollow piers according to the following formula respectively The model of spacing,
Wherein, Δ M is unbalanced moment,For concrete tensile strength standard value, I is cross sectional moment of inertia.
Spacing r between the bending resistance of double thin wall pier and anti-twisting property and its two limb has a close relationship, the bigger bending resistance of r, Anti-twisting property is stronger.But the spacing of double-limb pier can not be excessive, more than will increase instead after certain limit construction difficulty with Cost can also make the intensity of pier shaft insufficient.Therefore, the determination of two thin wall flexible pier spacing r sizes is to need the problem of paying attention to. Preferably, double limb spacing are 7m.Alternatively, it is also possible in the case where conventional construction, can by 1.2 times of one segment weight of side, The other side is the unbalanced moment Δ M of 0.8 times of generation, or the true unbalanced moment Δ M that while constructing by Practical Project occurs To determine double limb spacing r.
Preferably, the empirical equation of formula (7) is obtained by summarizing a large amount of case histories:
R=0.3445-2.8517H+0.1295l+0.0496L
Wherein, l is that pier is high, and L is across footpath.
In another embodiment of the present invention, the curved bridge Pier Design method further include:
The antitorque torque of single limb formula pier determines that the antitorque torque of double limb formula piers includes bridge according to the lateral torsion that bridge pier is subject to The resistance torque for resisting torque and body of a bridge direction across bridge horizontal displacement generation that pier itself is generated by torsion,
Wherein, the combination that solid pier, hollow pier, single limb formula pier and double limb formula piers are selected herein in connection with torsional rigidity, resists Rigidity is turned round to be the bigger the better.
Double limb flexible piers have the advantages that required for ideal bridge pier: be both able to satisfy minimum in transport, construction stage it is vertical, Horizontal rigidity, moreover it is possible to meet into bridge stage biggish bending stiffness and lesser thrust stiffness.Twin legged thin wall pier is that continuous bridge is normal Pier stud form, but this is also not unique reasonable pier stud form, also depends on whether objective condition matches.On State curved bridge Pier Design method respectively to the bridge piers of double limbs and single limb formula it is anti-push away, bending resistance and antitorque rigidity compare point Analysis.
Anti- from bridge pier pushes away, in bending resistance and the comparative analysis of anti-twisting property: compared with single limb formula pier, in pier shaft cross-sectional area Under the premise of equal, double limb formula piers have lesser thrust stiffness and biggish bending resistance and torsional rigidity, so continuous rigid frame bridge The bridge pier form of double limb formula piers is selected first.The factor for summarizing aspects above, can obtain double limb formula piers and single limb formula pier have with Lower advantage:
1. it is small to thrust stiffness along bridge, be conducive to the internal force for reducing temperature, concrete creep;
2. possessing the biggish coefficient of stability, there is preferable stability in terms of response power effect;
3. bending resistance torsional rigidity is big, be conducive to resist the out-of-balance force generated when transport, construction and use;
4. double limb formula piers increase the longitudinal width of bridge pier, while reducing the clear span on pier between box beam, to box beam by Power is advantageous;
5. not needing temporary support, cradle construction is convenient;
And the advantages of list limb formula pier then has: basic sectional dimension is smaller;It is easy when construction, it can shorten the construction period;Pier Gao Bugao When, construction is easy etc..
In practical projects, large span continuous rigid frame bridge mostly uses double-limb pier, and across footpath is smaller, can be using single when pier shaft is not high Limb formula pier.But if anti-push away if intensity is able to satisfy requirement of single pier is readily applicable to high pier bridge.Therefore bridge pier pier shape Selection be not it is unalterable, be with reference to and aspect factor after meet the reasonable Bridge Design principle of economic security before Put the decision made.
In order to guarantee the reasonability of combination, in a preferred implementation power of the invention, above-mentioned curved bridge Pier Design Method further include:
The design parameter of the bridge of construction is completed in storage;
Non- construction bridges are matched with the bridge that construction is completed according to design parameter, are obtained and non-construction bridges phase As construction bridges are completed;
The various combination sides of non-construction bridges are calculated according to the following formula (9) using the bridge pier combinations of construction bridges is completed The accuracy of formula,
Wherein, Z is a kind of accuracy of combination, and n is indicated and the matched construction bridges that are completed of non-construction bridges Number, hit (i) indicate the combination and the combination for each beam element that construction bridges are completed of each beam element of non-construction bridges The identical number of mode,
Wherein, the combination of non-construction bridges is selected herein in connection with accuracy, the higher the better for accuracy.
Preferably, described to obtain the method that construction bridges are completed similar with non-construction bridges and include:
It is clustered according to multiple design parameters to construction bridges are completed using clustering algorithm, obtains different designs parameter Corresponding cluster result set;
Judge multiple cluster result set with the presence or absence of intersection;
If there is intersection, construction bridges set is completed using intersection as similar;
If there is no intersection, construction bridges collection is completed using the cluster result combined according to span of bridge as similar It closes.
It is pushed away in ability forward resisting, the suitable bridge of double thin wall pier is the 1/4 of single columned pier to thrust stiffness, can be effectively reduced Influence of the factors such as temperature change, concrete shrinkage and creep to bridge deformation;On overall performance, the dual thin wall of continuous rigid frame bridge Pier is better than single columned pier;On lateral anti-twisting property, double thin wall pier is better than single columned pier, increases peace when construction and operation Quan Xing.Single columned pier is selected, the size on basis can be not only reduced, construction can also be simplified, reduces the duration.Therefore continuous rigid frame The design of bridge can use the elementary structure parameter and engineering of curved bridge Pier Design system and method conjugative bridge of the present invention Environmental condition reasonably selects pier shaft form, meets not only economic but also safety design principle.
In conclusion be described by way of example with reference to the curved bridge Pier Design system proposed according to the present invention and Method.It will be understood by those skilled in the art, however, that for the system and method that aforementioned present invention is proposed, it can also be not Various improvement are made on the basis of disengaging the content of present invention.Therefore, protection scope of the present invention should be by the attached claims The content of book determines.

Claims (10)

1. a kind of curved bridge Pier Design system characterized by comprising
Bridge analog module, constructs the threedimensional model of bridge, and model uses beam element;
Bridge pier indulges bridge and constructs module to width model, respectively according to the following formula the vertical bridge of (1) and (2) solid pier of building and hollow pier to The model of width
Wherein, α is the concrete wire coefficient of expansion, and the temperature change of environment when Δ T is construction, L is top girder overall length, and P is pier Horizontal thrust is pushed up, l is main pier height, and E is main pier elasticity modulus, and the main pier direction across bridge width of B, H is that main pier indulges bridge Xiang Kuandu, and B ' is Direction across bridge width inside hollow pier, the vertical bridge Xiang Kuandu inside H ' hollow pier;
Thrust stiffness model construction module, (3) and (4) construct single limb formula pier and pair thrust stiffness of limb formula piers according to the following formula respectively Model,
Wherein, KaFor the thrust stiffness of single limb formula pier, KbFor the thrust stiffness of double limb formula piers;
Bending Rigidity Model building module, (5) and (6) construct single limb formula pier and pair bending stiffness of limb formula piers according to the following formula respectively Model
Ja=0.67BH3 (5)
Wherein, JaFor the bending stiffness of single limb formula pier, JbFor the bending stiffness of double limb formula piers, r is double limb spacing;
Load applies module, the load born in bridge construction process is simulated, to obtain the load that each beam element is born Lotus;
Composite module applies the load, rigid according to thrust stiffness, bending resistance that each beam element that module obtains is born according to load Degree and double limb spacing select the combination of solid pier, hollow pier, single limb formula pier and double limb formula piers, and the thrust stiffness is smaller more Good, the bending stiffness is the bigger the better, and double limb spacing are the bigger the better in difficulty of construction and cost-range.
2. curved bridge Pier Design system according to claim 1, which is characterized in that further include:
Double limb spacing models construct modules, respectively according to the following formula (7) and (8) construct the solid pier of double limbs double limb spacing model with The model of double limb spacing of double limb hollow piers,
Wherein, Δ M is unbalanced moment,For concrete tensile strength standard value, I is cross sectional moment of inertia.
3. curved bridge Pier Design system according to claim 1, which is characterized in that further include:
Torsional rigidity model construction module, the lateral torsion that the antitorque torque of single limb formula pier is subject to according to bridge pier is determining, double limb formulas The antitorque torque of pier includes bridge pier itself because the resistance for resisting torque and body of a bridge direction across bridge horizontal displacement generation that torsion generates is turned round Square,
Wherein, the composite module selects the combination of solid pier, hollow pier, single limb formula pier and double limb formula piers herein in connection with torsional rigidity Mode, torsional rigidity are the bigger the better.
4. curved bridge Pier Design system described in any claim in -3 according to claim 1, which is characterized in that further include:
The design parameter of the bridge of construction is completed in knowledge base, storage;
Matching module matches non-construction bridges with the bridge that construction is completed according to design parameter, obtains and do not construct Bridge is similar to be completed construction bridges;
Accuracy rate computing module calculates non-construction bridges according to the following formula (9) using the bridge pier combination that construction bridges are completed Various combinations accuracy,
Wherein, Z is a kind of accuracy of combination, and n is indicated and the matched number that construction bridges are completed of non-construction bridges, Hit (i) indicates the combination and the combination for each beam element that construction bridges are completed of each beam element of non-construction bridges Identical number,
Wherein, composite module selects the combination of non-construction bridges herein in connection with accuracy, and the higher the better for accuracy.
5. curved bridge Pier Design system according to claim 4, which is characterized in that the matching module includes:
Cluster cell is clustered to construction bridges are completed according to multiple design parameters using clustering algorithm, obtains difference and set Count the corresponding cluster result set of parameter;
Judging unit judges that multiple cluster result set send a signal to the first matching if there is intersection with the presence or absence of intersection Unit;If there is no intersection, the second matching unit is sent a signal to;
Construction bridges set is completed using intersection as similar in first matching unit;
Construction bridges set is completed using the cluster result combined according to span of bridge as similar in second matching unit.
6. a kind of curved bridge Pier Design method characterized by comprising
The threedimensional model of bridge is constructed, model uses beam element;
Distinguish the model for constructing the vertical bridge of solid pier and hollow pier according to the following formula (1) and (2) to width
Wherein, α is the concrete wire coefficient of expansion, and the temperature change of environment when Δ T is construction, L is top girder overall length, and P is pier Horizontal thrust is pushed up, l is main pier height, and E is main pier elasticity modulus, and the main pier direction across bridge width of B, H is that main pier indulges bridge Xiang Kuandu, and B ' is Direction across bridge width inside hollow pier, the vertical bridge Xiang Kuandu inside H ' hollow pier;
(3) and (4) construct single limb formula pier and pair thrust stiffness model of limb formula piers according to the following formula respectively,
Wherein, KaFor the thrust stiffness of single limb formula pier, KbFor the thrust stiffness of double limb formula piers;
(5) and (6) construct single limb formula pier and pair Bending Rigidity Model of limb formula piers according to the following formula respectively
Ja=0.67BH3 (5)
Wherein, JaFor the bending stiffness of single limb formula pier, JbFor the bending stiffness of double limb formula piers, r is double limb spacing;
The load born in simulation bridge construction process, to obtain the load that each beam element is born;
The load born according to each beam element selects solid pier according to thrust stiffness, bending stiffness and double limb spacing, is hollow The combination of pier, single limb formula pier and double limb formula piers, the thrust stiffness is the smaller the better, and the bending stiffness is the bigger the better, institute Double limb spacing are stated to be the bigger the better in difficulty of construction and cost-range.
7. curved bridge Pier Design method according to claim 6, which is characterized in that further include:
(7) and (8) construct pair model of double limb spacing of the solid pier of limb and pair double limb spacing of limb hollow piers according to the following formula respectively Model,
Wherein, Δ M is unbalanced moment,For concrete tensile strength standard value, I is cross sectional moment of inertia.
8. curved bridge Pier Design method according to claim 6, which is characterized in that further include:
The antitorque torque of single limb formula pier determines that the antitorque torque of double limb formula piers includes bridge pier sheet according to the lateral torsion that bridge pier is subject to The resistance torque for resisting torque and body of a bridge direction across bridge horizontal displacement generation that body is generated by torsion,
Wherein, the combination of solid pier, hollow pier, single limb formula pier and double limb formula piers is selected herein in connection with torsional rigidity, it is antitorque rigid Degree is the bigger the better.
9. the curved bridge Pier Design method according to any claim in claim 6-8, which is characterized in that further include:
The design parameter of the bridge of construction is completed in storage;
Non- construction bridges are matched with the bridge that construction is completed according to design parameter, are obtained similar with non-construction bridges Construction bridges are completed;
The various combinations of non-construction bridges are calculated according to the following formula (9) using the bridge pier combinations of construction bridges is completed Accuracy,
Wherein, Z is a kind of accuracy of combination, and n is indicated and the matched number that construction bridges are completed of non-construction bridges, Hit (i) indicates the combination and the combination for each beam element that construction bridges are completed of each beam element of non-construction bridges Identical number,
Wherein, the combination of non-construction bridges is selected herein in connection with accuracy, the higher the better for accuracy.
10. curved bridge Pier Design method according to claim 9, which is characterized in that described to obtain and non-construction bridges phase As the methods of construction bridges be completed include:
It is clustered according to multiple design parameters to construction bridges are completed using clustering algorithm, it is corresponding to obtain different designs parameter Cluster result set;
Judge multiple cluster result set with the presence or absence of intersection;
If there is intersection, construction bridges set is completed using intersection as similar;
If there is no intersection, construction bridges set is completed using the cluster result combined according to span of bridge as similar.
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