CN111553015B - Accurate displacement control method in replacement process of arch bridge suspender - Google Patents
Accurate displacement control method in replacement process of arch bridge suspender Download PDFInfo
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- CN111553015B CN111553015B CN202010411495.2A CN202010411495A CN111553015B CN 111553015 B CN111553015 B CN 111553015B CN 202010411495 A CN202010411495 A CN 202010411495A CN 111553015 B CN111553015 B CN 111553015B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
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- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D19/00—Structural or constructional details of bridges
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- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D22/00—Methods or apparatus for repairing or strengthening existing bridges ; Methods or apparatus for dismantling bridges
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- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D4/00—Arch-type bridges
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- G—PHYSICS
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
Abstract
The invention discloses a displacement accurate control method in an arch bridge suspender replacement process, which comprises the following steps of firstly, neglecting arch rib deformation and extracting an equivalent model of an arch bridge girder; secondly, calculating the change coefficient of the shearing force at the two sides of the boom beam section to be replaced along with the displacement, so as to separate the beam section from the integral model and obtain an equivalent model of the boom beam section to be replaced; then, calculating a suspender dismantling process and a new suspender installing process respectively based on an equivalent model of a suspender beam section to be replaced to obtain the accumulative displacement of the lower end of the suspender, wherein the suspender is cut step by step, the suspender is stretched step by step in the old suspender dismantling process, and the suspender is stretched step by step and the suspender is unloaded step by step in the new suspender installing process; and finally, controlling the change of the bridge deck displacement by specifying control displacement thresholds of each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading. The invention can realize accurate displacement control, thereby better guiding the replacement of the arch bridge suspender.
Description
Technical Field
The invention belongs to the technical field of replacement of an arch bridge suspender, and particularly relates to a displacement accurate control method in an arch bridge suspender replacement process.
Background
The arch bridge is widely used due to the advantages of large spanning capacity, beautiful shape, reasonable structural stress and the like. Compared with the design life of the bridge which is nearly 100 years, the design life of the suspender is 20-30 years. However, the suspension rod is in a complex environment, not only bears constant load (self weight of the structure) and alternating load (temperature, vehicle and wind load) but also is in a corrosion environment such as moist, high chloride ion and high and low temperature change. The service life (3-16 years) of the suspender is far shorter than the design life. Therefore, boom replacement is a common task in the maintenance of this type of arch bridge. The existing suspender replacement process simulation is mostly based on a finite element mode, and because the suspender replacement process simulation relates to the problems of system conversion and the like, a correct result cannot be obtained if the suspender replacement process simulation is processed improperly, and the suspender replacement process simulation has great limitation on engineering application. Therefore, it is necessary to find a practical, convenient and accurate calculation method.
The Chinese invention patent 'displacement control method for replacing bridge deck by suspender of through suspender arch bridge' (with an authorization publication number of CN107268456B) (hereinafter referred to as patent 1) discloses a displacement control method for replacing bridge deck by suspender, which observes the statistical law of bridge deck displacement data of each stage of loading and unloading between a replacing suspender and an adjacent suspender, obtains the load distribution coefficient of the adjacent suspender and the replacing suspender during loading, and corrects the bridge deck displacement by the load distribution coefficient. The displacement of the suspender to be replaced and the surrounding suspender under all levels of working conditions needs to be tested, so that the practical operation is very inconvenient. Meanwhile, in the cutting process of the suspender, the physical characteristics (the tensile rigidity of the cross section of the suspender) of the structure are changed, so that the distribution coefficient is actually changed under various levels of loads, and if only one average correction coefficient is considered in a statistical mode, deviation of a displacement control result is caused. Therefore, it is necessary and urgent to find a more convenient and accurate displacement calculation method so as to better guide the replacement of the arch bridge suspender.
Disclosure of Invention
In view of the foregoing, there is a need for a method for accurately controlling displacement during an arch bridge boom replacement process to enable arch bridge boom replacement under accurate displacement control.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a displacement accurate control method in the replacement process of an arch bridge suspender comprises the steps of firstly, neglecting arch rib deformation, and extracting an equivalent model of an arch bridge girder; secondly, calculating the change coefficient of the shearing force at the two sides of the boom beam section to be replaced along with the displacement, so as to separate the beam section from the integral model and obtain an equivalent model of the boom beam section to be replaced; then, respectively calculating the boom dismantling process and the new boom installing process based on the equivalent model of the boom beam section to be replaced to obtain the accumulated displacement of the lower end of the boom during the boom stepwise cutting and the boom stepwise tensioning in the old boom dismantling process and the boom stepwise tensioning and the boom stepwise unloading in the new boom installing process; and finally, controlling the change of the bridge deck displacement by specifying control displacement thresholds of each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading.
Further, the equivalent model of the arch bridge main beam is a multipoint elastic support continuous beam model.
The coefficient of variation of the shear force with displacement is k, wherein,
k＝k 1 /k 2 ，
when the lengths of the suspenders are not greatly different, each suspender can be approximately considered to be equal to the length of the suspender to be replaced, and k is 1 、k 2 Comprises the following steps:
k 1 ＝48EAE b I b (2EAS 3 +3E b I b L)，
wherein E is the modulus of elasticity of the boom, A is the cross-sectional area of the boom, L is the length of the boom to be replaced, E b I b The bending moment of inertia of the main beam is S, and the distance between the hanging rods is S.
The accumulated displacement of the lower end of the suspender, which is cut step by step, stretched step by a pocket crane and stretched step by the suspender in the installation process of the new suspender, and unloaded step by the pocket crane, of the old suspender is in accordance with the following relationship:
1) accumulated displacement of the lower end of the boom after the ith hoisting in the old boom disassembly is finished
Where δ (i-1) is the Dirac function, i.e.:
2) accumulated displacement of the lower end of the boom after the ith cutting of the old boom
In the formula (I), the compound is shown in the specification,
the lower end of the suspender is displaced after the old suspender is cut for the nth time,
The lower end of the suspender is displaced after the nth pocket crane is tensioned;
3) accumulated displacement of the lower end of the suspender after tensioning the ith suspender in the new suspender installation process
4) Accumulated displacement of the lower end of the suspender after the i-th unloading of the suspender
In the formula (I), the compound is shown in the specification,
the lower end of the suspender moves after the new suspender is stretched for the nth time,
The lower end of the suspender is displaced after the nth pocket crane is unloaded.
The control displacement threshold values of each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading are in accordance with the following relational expression:
the formula respectively stipulates that the displacement values of the bridge deck after each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading are all smaller than a threshold value [ D ], and the threshold value is the smaller value between 1/1000 of the distance S between 10mm and the suspenders.
Compared with the prior art, the invention has the following beneficial effects:
the invention is based on the principle of a structural mechanics displacement method, establishes a control method of the accumulated displacement of the lower end of a suspender in the replacement process of an arch bridge suspender, can effectively realize the replacement of the arch bridge suspender under the control of accurate displacement, and particularly, the method provided by the invention considers the combination of an arch rib, the suspender and a bridge floor as an equivalent model in the form of a multipoint elastic support continuous beam, calculates a shearing resultant force calculation formula at two sides of the suspender to be replaced under the action of unit force, performs mechanical analysis on the constraint of an integral independent arch bridge consisting of a hanging system, an old suspender (a new suspender) and a part of beam body, and establishes an accumulated displacement calculation formula of the lower end of the suspender under each level of working conditions in the process of dismantling the old suspender and installing the new suspender; and then the change of the bridge deck displacement is controlled by specifying control displacement thresholds of each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading.
Drawings
FIG. 1 is a schematic illustration of a boom arch bridge.
Fig. 2 is a structural schematic diagram of an equivalent model of a multipoint elastic supporting continuous beam of a main beam of an arch bridge.
Fig. 3 is a schematic view of a boom and a partial beam section to be replaced.
Figure 4 is a boom removal process beam section force diagram.
FIG. 5 is a displacement diagram of the bridge floor at the lower end of the 10# hanging bracket along with the number of the reserved hanging brackets on two sides of the 10# hanging bracket.
FIG. 6 is a graph comparing the test result and the calculation result of the displacement of the lower end of the hanger rod to be replaced under different working conditions.
FIG. 7 is a graph comparing the test result and the calculation result of the displacement of the lower end of the new boom under different working conditions.
Description of the main elements
In the figure: 1 waiting for replacing a suspender, 2 arch ribs, 3 main beams, 4 suspender cross beams, 5 suspender bags and 6 suspender tensioning systems.
The following detailed description will further illustrate the invention in conjunction with the above-described figures.
Detailed Description
First, basic principle
The invention provides a displacement accurate control method in an arch bridge suspender replacement process, which comprises the steps of firstly, neglecting arch rib deformation, and extracting an equivalent model of an arch bridge main beam, wherein the equivalent model of the arch bridge main beam is specifically a multipoint elastic support continuous beam model; secondly, calculating the change coefficient of the shearing force at the two sides of the boom beam section to be replaced along with the displacement, so as to separate the beam section from the integral model and obtain an equivalent model of the boom beam section to be replaced; then, respectively calculating the boom dismantling process and the new boom installing process based on the equivalent model of the boom beam section to be replaced to obtain the accumulated displacement of the lower end of the boom during the boom stepwise cutting and the boom stepwise tensioning in the old boom dismantling process and the boom stepwise tensioning and the boom stepwise unloading in the new boom installing process; and finally, controlling the change of the bridge deck displacement by specifying control displacement thresholds of each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading.
Specifically, in the process of disassembling an old suspender and installing a new suspender, an equivalent model of an arch bridge girder is established, boundary conditions of the equivalent model are accurately calculated, and then an integral composed of a pocket hanging system, the old suspender (the new suspender) and part of a girder body is independently obtained from the integral model of the arch bridge girder and then subjected to internal force analysis, so that an accurate displacement expression of the suspender disassembling process and the new suspender installing process is obtained; and then, the bridge deck displacement change under the actual load condition is controlled by specifying control displacement thresholds of tensioning of each stage of the pocket crane, cutting of the old suspender, tensioning of the new suspender and unloading of the pocket crane.
In the present invention, the coefficient of variation of the shear force with displacement is k, wherein,
k＝k 1 /k 2 ，
when the lengths of the suspenders are not greatly different, each suspender can be approximately considered to be equal to the length of the suspender to be replaced, and k is 1 、k 2 Comprises the following steps:
k 1 ＝48EAE b I b (2EAS 3 +3E b I b L)，
wherein E is the modulus of elasticity of the boom, A is the cross-sectional area of the boom, L is the length of the boom to be replaced, E b I b The bending moment of inertia of the main beam is S, and the distance between the hanging rods is S.
The accumulated displacement of the lower end of the suspender, which is cut step by step, stretched step by a pocket crane and stretched step by the suspender in the installation process of the new suspender, and unloaded step by the pocket crane, of the old suspender is in accordance with the following relationship:
1) accumulated displacement of lower end of suspender after ith hoisting is finished in old suspender disassembly
Where δ (i-1) is the Dirac function, i.e.:
2) accumulated displacement of the lower end of the boom after the ith cutting of the old boom
In the formula (I), the compound is shown in the specification,
the lower end of the suspender after the old suspender is cut for the nth time,
The lower end of the suspender is displaced after the nth pocket crane is tensioned;
3) accumulated displacement of the lower end of the suspender after tensioning the ith suspender in the new suspender installation process
4) Accumulated displacement of the lower end of the suspender after the i-th unloading of the suspender
In the formula (I), the compound is shown in the specification,
the lower end of the suspender moves after the new suspender is stretched for the nth time,
For the displacement of the lower end of the suspender after the nth pocket crane unloading
The control displacement threshold values of each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading are in accordance with the following relational expressions:
the formula respectively stipulates that the displacement values of the bridge deck after each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading are all smaller than a threshold value [ D ], and the threshold value is the smaller value between 1/1000 of the distance S between 10mm and the suspender.
Second, formula derivation
1. Structural equivalence
For the boom arch bridge shown in fig. 1, the boom elastic modulus is E, the cross-sectional area is a, and the boom length is L Li And L Ri ( i 1, 2..) the length of the hanging rod to be replaced is L, and the bending-resistant moment of inertia of the main beam is E b I b The distance between the hanging rods is S.
Because the rigidity of the arch rib is much larger than that of the suspender and the bridge floor, the main beam of the arch bridge can be equivalently used as a multi-point elastic support in the process of replacing the suspender of the arch bridgeThe continuous beam, namely, the equivalent model of the main beam of the arch bridge is a multi-point elastic support continuous beam module, the concrete structure is shown in figure 2, and the spring stiffness of the two sides of the suspender to be replaced is K Li And K Ri ( i 1, 2..) the rigidity of jib to be changed is K, and according to the rigidity equivalence principle, the spring rate is:
wherein X ═ L or R, i ═ 1, 2.
Applying downward unit displacement to the lower end of the boom to be replaced, and obtaining the sections C on two sides of the boom to be replaced by a displacement method L And C R The resultant shear force (also called the coefficient of change of shear force with displacement) k. When different numbers of hanging rods are left on two sides of the hanging rod to be replaced, calculation is carried out, and when 3 hanging rods or more are left, k is basically unchanged. Because the stiffness of the hanger bar is much greater than that of the main beam, the deformation of the hanger bar is much less than that of the main beam. When two sides are respectively provided with 2 or more hanging rods, the main beams are all fixed and restrained, so that the deformation of the main beams is basically not different, and k is directly related to the deformation of the main beams. Thus, k is obtained as follows:
k＝k 1 /k 2 (1)
wherein, when the lengths of the hanging rods are not greatly different, each hanging rod can be approximately considered to be equal to the length of the hanging rod to be replaced, and k is 1 、k 2 Comprises the following steps:
k 1 ＝48EAE b I b (2EAS 3 +3E b I b L) (2)
2. boom demolition process calculation
In the process of dismantling the suspender, based on the structural equivalence, the suspender to be replaced and part of the beam section are separated from the whole body, and a structural schematic diagram as shown in figure 3 can be obtained, wherein the upper end of the suspender is fixed at the arch rib, and the lower end is connected with the suspenderA pocket crane tensioning system comprising a jack for housing the boom beam, a main beam for replacing the cross section C of the boom L And C R The beam section in between. The extracted main beam section is stressed as shown in FIG. 4, and is subjected to a boom force F to be replaced and pocket boom forces T, C L And C R Shearing force Q at the section, and resultant force G of the weight of the pocket hanging system and the self weight of the main beam section. The boom removal process calculations will be performed with this beam section.
2.1 initial State
The elastic modulus of the old suspender is E and the section area is E in the process of disassembling the old suspender
The length of the cable is L; the elastic modulus of the pocket suspender is E ', the cross-sectional area is A', and the cable length is
Shear force is
The cable force is
When the initial state of a system consisting of the old suspender, the sling system and part of the beam sections is a bridge-forming state before replacing the suspender, the following displacement coordination and force balance relationship exist:
2.2 i (i ═ 1, 2.., n) th pocket crane
After the ith pocket lifting is finished, the pocket lifting force is
The internal force of the old suspender is
The unstressed length of the pocket suspender is
The displacement generated in the ith pocket lifting process is
For pocket boom lower end displacement there is:
similarly, the lower end of the old suspender is provided with:
according to the balance of forces:
wherein the content of the first and second substances,
in general formulas (6) to (8), there are:
wherein the content of the first and second substances,
2.3 i (i ═ 1, 2.., n) th cut
After the old suspender is cut for the ith time, the area of the old suspender is
The internal force of the pocket suspender is
The internal force of the old suspender is
Is displaced by
The displacement of the lower end of the pocket suspender meets the following requirements:
similarly, the lower end of the old suspender is provided with:
according to the balance of forces:
wherein the content of the first and second substances,
combining formulas (12) - (14), there are:
wherein the content of the first and second substances,
2.4 Displacement control
Through the calculation, the accumulated displacement of the lower end of the suspender to be replaced after the ith hanging is finished
Comprises the following steps:
where δ (i-1) is the Dirac function, i.e.:
accumulated displacement of the lower end of the boom after the ith cutting of the old boom
3. New boom installation process calculation
The new suspender installation is essentially the reverse process of suspender removal, but the suspender is loosened by the jack without cutting, so that the tensioning process and the unloading process in the new suspender installation process are calculated the same.
3.1 initial State
The initial state is the state before the new suspender is installed, wherein the elastic modulus of the new suspender is E n A cross-sectional area of A n The length of the cable is
The pocket suspender has an elastic modulus of E ', a cross-sectional area of A' and a cable length of
Shear force is
The cable force is
Because the new suspender is installed after the old suspender is removed, the new suspender is installed
According to the relationship between displacement coordination and force balance:
3.2 new boom i (i ═ 1,2,., n) th pocket crane
After the ith tensioning of the new suspender is finished, the internal force of the new suspender is
The internal force of the pocket suspender is
The new hanger rod has a stress-free length of
The unstressed length of the pocket suspender is
The displacement generated in the ith tensioning process of the new suspender is
The ith pocket hanging in the process is not different from the hoisting rod dismantling process, and only the difference in symbols exists, so the derivation process is not repeated, and the process includes
Wherein, the first and the second end of the pipe are connected with each other,
3.3 pocket boom i (i ═ 1, 2.., n) unloads
After the pocket suspender is unloaded for the ith time, the internal force of the new suspender is
The internal force of the pocket suspender is
The new hanger rod has a stress-free length of
The unstressed length of the pocket suspender is
The displacement generated in the ith tensioning process of the new suspender is
Then there is
Wherein the content of the first and second substances,
3. 4 displacement control
Through the calculation, the accumulated displacement of the lower end of the suspender after the ith tensioning of the new suspender is finished
Comprises the following steps:
accumulated displacement of the lower end of the suspender after the i-th unloading of the suspender
Wherein the content of the first and second substances,
and controlling the displacement threshold [ D ]]The following conditions need to be satisfied:
third, application example
A certain arch bridge needs to be replaced by a suspender, and the replacement process of the suspender needs to be subjected to displacement control.
Firstly, an equivalent model of the bridge is established, a vertical 1KN force is applied to the lower end of a 10# suspension rod to be replaced, and bridge deck displacement at the lower end of the 10# suspension rod under different suspension rods reserved on two sides of the 10# suspension rod is calculated through a force method, as shown in the attached figure 5. Through calculation, when 2 suspenders or more are reserved on two sides of the 10# suspender, the bridge deck displacement at the lower end of the 10# suspender basically has no change, so that the process requirement can be met only by considering 2 suspenders on two sides of the suspender to be replaced in actual application.
Through formulas (1) - (19), the 10# suspender dismantling process is calculated, the hooking and cutting processes are carried out in 5 stages with the same step length, namely, the hooking force of each stage is increased by 20% of the internal force of the suspender to be replaced, the cutting area of each stage is 20% of the area of the suspender to be replaced, and the calculation result is shown in table 1.
TABLE 1 calculation results of demolition procedure under different working conditions
In table 1, a positive value of the displacement indicates an increase in the deck level, and a negative value indicates a decrease in the deck level.
In the process of dismantling the suspender, the bridge surface displacement at the lower end of the suspender to be replaced and the arch rib displacement at the corresponding part of the suspender are monitored, the result is compared with the calculation result in the table 1, the result is shown in the attached figure 6, and the method in the patent 1 is adopted to calculate the corresponding displacement. Compared with the calculation result in the invention patent 1, the displacement of the invention is closer to the actually measured displacement, and the calculation method of the invention is verified to be accurate.
The installation process of the 10# new suspender is calculated by the formulas (20) - (29), the calculation is carried out by 5 stages, the step length is the same, namely, the lifting force and the unloading force of each stage are 20% of the initial internal force of the suspender, and the calculation result is shown in the table 2.
TABLE 2 calculation results of demolition procedure under different working conditions
In table 2, a positive value of the displacement indicates an increase in the deck level, and a negative value indicates a decrease in the deck level.
In the installation process of the suspender, the bridge deck displacement at the lower end of the to-be-new suspender and the arch rib displacement at the corresponding part of the suspender are monitored, and the result is compared with the calculation result in the table 2, and is shown in the attached figure 7. It can be seen that the calculated result of the present invention is very close to the measured displacement during the installation of the new boom.
Claims (3)
1. A displacement accurate control method in an arch bridge suspender replacement process is characterized in that: firstly, neglecting arch rib deformation, and extracting an equivalent model of an arch bridge main beam; secondly, calculating the change coefficient of the shearing force at the two sides of the boom beam section to be replaced along with the displacement, so as to separate the beam section from the integral model and obtain an equivalent model of the boom beam section to be replaced; then, respectively calculating the boom dismantling process and the new boom installing process based on the equivalent model of the boom beam section to be replaced to obtain the accumulated displacement of the lower end of the boom during the boom stepwise cutting and the boom stepwise tensioning in the old boom dismantling process and the boom stepwise tensioning and the boom stepwise unloading in the new boom installing process; finally, the change of the bridge deck displacement is controlled by specifying control displacement thresholds of each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading;
the coefficient of variation of the shear force with displacement is k, wherein,
k＝k 1 /k 2 ，
when the lengths of the suspenders are differentWhen the length of the hanger rod is not large, the hanger rods are approximately equal to the length of the hanger rod to be replaced, and k is 1 、k 2 Comprises the following steps:
k 1 ＝48EAE b I b (2EAS 3 +3E b I b L)，
wherein E is the modulus of elasticity of the boom, A is the cross-sectional area of the boom, L is the length of the boom to be replaced, E b I b The bending moment of inertia of the main beam is S, and the distance between the hanging rods is S.
2. A method for accurately controlling displacement during an arch bridge boom replacement process as claimed in claim 1, wherein: the equivalent model of the arch bridge main beam is a multipoint elastic support continuous beam model.
3. A method for accurately controlling displacement during an arch bridge boom replacement process as claimed in claim 1, wherein: the accumulated displacement of the lower end of the suspender, which is cut step by step, stretched step by a pocket crane and stretched step by the suspender in the installation process of the new suspender, and unloaded step by the pocket crane, of the old suspender is in accordance with the following relationship:
1) accumulated displacement of lower end of suspender after ith hoisting is finished in old suspender disassembly
Where δ (i-1) is the Dirac function, i.e.:
2) accumulated displacement of lower end of boom after ith cutting of old boom
In the formula (I), the compound is shown in the specification,
the lower end of the suspender after the old suspender is cut for the nth time,
The lower end of the suspender is displaced after the nth pocket crane is tensioned;
3) accumulated displacement of the lower end of the suspender after tensioning the ith suspender in the new suspender installation process
4) Accumulated displacement of the lower end of the suspender after the i-th unloading of the suspender
In the formula (I), the compound is shown in the specification,
the lower end of the suspender moves after the new suspender is stretched for the nth time,
The lower end of the suspender is displaced after the n-th hoisting is unloaded;
the control displacement threshold values of each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading are in accordance with the following relational expression:
the formula respectively stipulates that the displacement values of the bridge deck after each stage of pocket crane tensioning, old suspender cutting, new suspender tensioning and pocket crane unloading are all smaller than a threshold value [ D ], and the threshold value is the smaller value between 1/1000 of the distance S between 10mm and the suspender.
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| CN112012110B (en) * | 2020-08-31 | 2021-11-02 | 东南大学 | Device and method for uniformly distributing constant-load transverse bridge direction of three-main-cable suspension bridge |
| CN113005927B (en) * | 2021-04-06 | 2022-08-26 | 厦门合诚工程技术有限公司 | Cable force conversion device for replacing suspender |
| CN113761770B (en) * | 2021-09-13 | 2024-04-02 | 柳州欧维姆结构检测技术有限公司 | Method for calculating internal force redistribution in replacement process of suspender of continuous beam arch bridge |
| CN114117594B (en) * | 2021-11-15 | 2024-01-26 | 中铁大桥勘测设计院集团有限公司 | Internal force extraction method, device, equipment and readable storage medium |
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