A design method and system of a through-type radial boom arrangement tied arch bridge

Abstract

The application discloses a design method and system of a through-type radial-hanger arrangement tied-arch bridge, and relates to the technical field of bridge structures, which comprises the following steps: establishing an arch axis equation of the arch bridge based on the geometric shape, design type and preset power value of the arch bridge; establishing a finite element calculation model of the arch bridge based on the arch axis equation, the tension of each side hanger and the moving distance of each support, and outputting the axial stress and bending stress of the main arch and the axial stress and bending stress of the tie beam; adjusting the power value to obtain a first finite element calculation model corresponding to the case that the difference between the axial stress of the main arch and the bending stress of the main arch is not greater than a first threshold value; adjusting the tension of each side hanger based on the first finite element calculation model to obtain a second finite element calculation model corresponding to the case that the sum of the axial stress of the tie beam and the bending stress of the tie beam is not greater than a second threshold value; and generating a construction drawing of the through-type radial-hanger arrangement tied-arch bridge based on the second finite element calculation model, so that a reasonable arch axis equation is obtained, and the bending stress of the main arch is controlled to a reasonable range.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of bridge structure, in particular to a design method and system of a through-type radial suspender arrangement tied arch bridge. BACKGROUND

[0002] At present, the suspender of the through-type tied arch bridge in bridge engineering mainly adopts vertical suspender system, net suspender system, Nielsen system and inclined suspender system, among which the vertical suspender system is the most common. In recent years, with the rapid development of urban construction, the city bridge increasingly needs to consider the modeling beauty and landscape creativity. Therefore, various types of special-shaped structure system arch bridges are increasingly used. The through-type radial suspender arrangement tied arch bridge belongs to the special-shaped structure system arch bridge, which has outstanding landscape modeling and good landscape creativity.

[0003] In the prior art, the reasonable arch axis directly affects the bending stress of the arch bridge. The reasonable arch axis refers to that when the main arch of the arch bridge satisfies a certain curve equation, the arch bridge only bears axial stress under the action of load, and has no or very small bending stress. The reasonable arch axis of the vertical suspender arch bridge is a quadratic parabola, the reasonable arch axis of the stone arch bridge is generally a catenary, and the reasonable arch axis of the jade belt-shaped arch bridge is generally a circular curve.

[0004] However, the main arch of the radial suspender arch bridge is unevenly stressed due to the radial arrangement of the suspender, it is difficult to find a reasonable arch axis, and the main arch has a large bending stress while bearing pressure, so that the main arch is cracked or damaged. SUMMARY

[0005] In view of the defects in the prior art, the present application provides a design method and system of a through-type radial suspender arrangement tied arch bridge, which can solve the technical problems that the through-type radial suspender arrangement tied arch bridge in the prior art is difficult to find a reasonable arch axis and the bending stress of the main arch is large.

[0006] In a first aspect, the embodiments of the present application provide a design method of a through-type radial suspender arrangement tied arch bridge, which includes the following steps:

[0007] Based on the geometric shape, design type and preset power value of the arch bridge, an arch axis equation of the arch bridge is established;

[0008] Based on the arch axis equation, the preset tension of each side suspender and the movement distance of each support, an initial finite element calculation model of the arch bridge is established, and the axial stress and bending stress of the main arch and the axial stress and bending stress of the tie beam are outputted;

[0009] By continuously adjusting the power value, a first finite element calculation model corresponding to the case that the difference between the axial stress of the main arch and the bending stress of the main arch is less than or equal to a preset first threshold value is obtained;

[0010] Based on the first finite element calculation model, a second finite element calculation model corresponding to a situation that the sum of the axial stress of the tie beam and the bending stress of the tie beam is less than or equal to a preset second threshold is obtained by continuously adjusting the preset tension of each side suspender.

[0011] Based on the second finite element calculation model, a construction drawing of the through-radiation suspender arrangement tied-arch bridge is generated.

[0012] In combination with the first aspect, in an implementation, after the second finite element calculation model, the method further includes:

[0013] Based on the second finite element calculation model, a third finite element calculation model corresponding to a situation that a minimum value in the output bending stress of the main arch is found by continuously adjusting the moving distance of each support.

[0014] Based on the third finite element calculation model, a construction drawing of the through-radiation suspender arrangement tied-arch bridge is generated.

[0015] In combination with the first aspect, in an implementation, based on the second finite element calculation model, a third finite element calculation model corresponding to a situation that a minimum value in the output bending stress of the main arch is found by continuously adjusting the moving distance of each support, specifically includes:

[0016] S61, simultaneously moving each support outward by a preset distance;

[0017] S62, each time the moving distance is adjusted, it is determined whether the bending stress of the main arch output this time is greater than the bending stress of the main arch output last time, if yes, S63 is entered; if no, S61 is entered;

[0018] S63, the second finite element calculation model corresponding to the last moving distance is the third finite element calculation model, and the process ends.

[0019] In combination with the first aspect, in an implementation, based on the geometric shape, the design type and the preset power value of the arch bridge, the arch axis equation of the arch bridge is obtained, specifically including:

[0020] Based on the geometric shape and the design type of the arch bridge, a parabolic equation form of the arch bridge is obtained;

[0021] The preset power value is substituted into the parabolic equation of the arch bridge to obtain the arch axis equation of the arch bridge.

[0022] In combination with the first aspect, in an implementation, the preset range of the power value is less than or equal to 2.

[0023] In combination with the first aspect, in an implementation, the preset tension of the side suspender includes: multiplying the initial tension of the side suspender by a preset coefficient to obtain the preset tension.

[0024] In combination with the first aspect, in an implementation, the initial tension force F of the side hanger is calculated according to a formula

[0025] In combination with the first aspect, in an implementation, the first finite element calculation model corresponding to a case where the difference between the axial stress and the bending stress of the main arch is less than or equal to the preset first threshold value is obtained by continuously adjusting the power value, and specifically includes:

[0026] S31, selecting a power value;

[0027] S32, calculating the difference between the axial stress and the bending stress of the main arch output by the initial finite element calculation model, and determining whether the difference is less than or equal to the preset first threshold value. If yes, proceeding to S33; if no, proceeding to S34.

[0028] S33, the initial finite element calculation model at this time is the first finite element calculation model, and the process ends.

[0029] S34, selecting another power value and returning to S32.

[0030] In combination with the first aspect, in an implementation, the second finite element calculation model corresponding to a case where the sum of the axial stress and the bending stress of the tie beam is less than or equal to the preset second threshold value is obtained by continuously adjusting the preset tension force of each side hanger, and specifically includes:

[0031] S41, simultaneously applying a preset incremental tension force to each side hanger;

[0032] S42, calculating the sum of the axial stress and the bending stress of the tie beam output by the first finite element calculation model, and determining whether the sum is less than or equal to the preset second threshold value. If yes, proceeding to S43; if no, returning to S41.

[0033] S43, the first finite element calculation model at this time is the second finite element calculation model, and the process ends.

[0034] In the second aspect, an embodiment of the present application provides a design system of a through-type radial hanger arranged tied arch bridge, including:

[0035] An arch axis equation establishing module is configured to establish an arch axis equation of the arch bridge based on a geometric shape, a design type and a preset power value of the arch bridge.

[0036] A model management module is configured to establish an initial finite element calculation model of the arch bridge based on the arch axis equation, a preset tension force of each side hanger and a moving distance of each support, and output an axial stress and a bending stress of a main arch and an axial stress and a bending stress of a tie beam.​

[0037] a power value adjustment module, configured to continuously adjust the power value, and obtain a first finite element calculation model corresponding to a case where a difference between the axial stress of the main arch and the bending stress of the main arch is less than or equal to a preset first threshold value through the model management module;

[0038] a side suspender adjustment module, configured to continuously adjust the preset tension of each side suspender based on the first finite element calculation model, and obtain a second finite element calculation model corresponding to a case where a sum of the axial stress of the tie beam and the bending stress of the tie beam is less than or equal to a preset second threshold value through the model management module;

[0039] a construction drawing generation module, configured to generate a construction drawing of the through-type radiating suspender arrangement tied arch bridge based on the second finite element calculation model.

[0040] The technical scheme provided by the embodiments of the present application has the following beneficial effects:

[0041] The present application constructs a finite element calculation model of the arch bridge, inputs the arch axis equation, the preset tension of each side suspender and the moving distance of each support, and outputs the axial stress and the bending stress of the main arch, and the axial stress and the bending stress of the tie beam. By continuously adjusting the power value, a first finite element calculation model corresponding to a case where a difference between the axial stress of the main arch and the bending stress of the main arch is less than or equal to a preset first threshold value is obtained. Based on the first finite element calculation model, by continuously adjusting the preset tension of each side suspender, a second finite element calculation model corresponding to a case where a sum of the axial stress of the tie beam and the bending stress of the tie beam is less than or equal to a preset second threshold value is obtained, and based on the second finite element calculation model, a construction drawing of the through-type radiating suspender arrangement tied arch bridge is generated. The construction drawing obtained by the design method obtains a reasonable arch axis equation, and controls the bending stress of the main arch to a reasonable range, so as to ensure that the main arch mainly bears the axial stress and reduces the damage of the bending stress to the main arch. BRIEF DESCRIPTION OF DRAWINGS

[0042] Figure 1 FIG. 1 is a flowchart of a design method of a through-type radiating suspender arrangement tied arch bridge according to an embodiment of the present application;

[0043] Figure 2 FIG. 2 is a structural schematic diagram of a through-type radiating suspender arrangement tied arch bridge according to an embodiment of the present application;

[0044] Figure 3 FIG. 3 is a flowchart of an obtaining process of a first finite element calculation model in the design method according to an embodiment of the present application;

[0045] Figure 4 FIG. 4 is a flowchart of an obtaining process of a second finite element calculation model in the design method according to an embodiment of the present application;

[0046] Figure 5 This is a flowchart illustrating the process of obtaining the third finite element calculation model in the design method of this application embodiment;

[0047] Figure 6 This is a structural schematic diagram of the design system of the tied arch bridge with radial suspension rod arrangement according to an embodiment of this application.

[0048] In the diagram: 1. Main arch; 2. Tie beam; 3. Hanger; 31. Side hanger; 4. Support; 5. Virtual radial points. Detailed Implementation

[0049] To enable those skilled in the art to better understand the present application, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present application, and not all embodiments. Based on the embodiments in the present application, all other embodiments obtained by those of ordinary skill in the art without creative effort are within the scope of protection of the present application.

[0050] To make the objectives, technical solutions, and advantages of this application clearer, the embodiments of this application will be described in further detail below with reference to the accompanying drawings.

[0051] Figure 2 A schematic diagram of a tied-arch bridge with radially arranged under-deck suspensions, as shown below. Figure 2 As shown, the tied arch bridge with radial suspender arrangement includes the main arch 1, tie beam 2, suspenders 3, side suspenders 31, supports 4, and virtual radial points 5. Among them, the side suspender 31 is the outermost suspender, L is the span, h is the rise, ds is the distance between two adjacent suspenders, and H is the distance from the virtual radial point of the suspender to the beam surface.

[0052] In a first aspect, embodiments of this application provide a design method for a tied arch bridge with a radially arranged under-supported suspension system.

[0053] In one embodiment, reference is made to Figure 1 , Figure 1 This is a flowchart illustrating the design method for a tied-arch bridge with a radially arranged under-deck suspension system, as described in this application. Figure 1 As shown, the design method for the above-mentioned tied arch bridge with radial suspension arrangement includes:

[0054] S1. Based on the geometry, design type, and preset power value of the arch bridge, establish the equation of the arch axis of the arch bridge.

[0055] S2. Based on the arch axis equation, the preset tension of each side hanger and the moving distance of each support, establish the initial finite element calculation model of the arch bridge, and output the axial stress and bending stress of the main arch, as well as the axial stress and bending stress of the tie beam.

[0056] S3, obtaining a first finite element calculation model corresponding to a difference between the axial stress of the main arch and the bending stress of the main arch being less than or equal to a preset first threshold value by continuously adjusting the power value.

[0057] S4, obtaining a second finite element calculation model corresponding to a sum of the axial stress of the tie beam and the bending stress of the tie beam being less than or equal to a preset second threshold value by continuously adjusting the preset tension of each side suspender based on the first finite element calculation model.

[0058] S5, generating a construction drawing of the through-type radiating suspender arrangement tied arch bridge based on the second finite element calculation model.

[0059] In the embodiment, the finite element calculation model of the arch bridge is constructed, the arch axis equation, the preset tension of each side suspender and the moving distance of each support are input, and the axial stress and the bending stress of the main arch and the axial stress and the bending stress of the tie beam are output. A first finite element calculation model corresponding to a difference between the axial stress of the main arch and the bending stress of the main arch being less than or equal to a preset first threshold value is obtained by continuously adjusting the power value. A second finite element calculation model corresponding to a sum of the axial stress of the tie beam and the bending stress of the tie beam being less than or equal to a preset second threshold value is obtained by continuously adjusting the preset tension of each side suspender based on the first finite element calculation model. A construction drawing of the through-type radiating suspender arrangement tied arch bridge is generated based on the second finite element calculation model. The construction drawing obtained by the design method obtains a reasonable arch axis equation and controls the bending stress of the main arch to a reasonable range, so as to ensure that the main arch mainly bears the axial stress and reduces the damage of the bending stress to the main arch.

[0060] In an embodiment, in the step S1, the arch axis equation of the arch bridge is obtained based on the geometric shape, the design type and the preset power value of the arch bridge, and specifically includes:

[0061] obtaining a parabolic equation form of the arch bridge based on the geometric shape and the design type of the arch bridge;

[0062] substituting the preset power value into the parabolic equation of the arch bridge to obtain the arch axis equation of the arch bridge.

[0063] Specifically, the arch axis of the arch bridge is determined to be a parabola according to the geometric shape of the arch bridge. The span and the rise of the arch bridge are determined according to the design type of the arch bridge. The constant factor of the parabola is calculated by the span, the rise and the preset power value. The power value and the constant factor are substituted into the parabolic equation to obtain the arch axis equation of the arch bridge.

[0064] Further, in the step S1, the preset range of the power value is less than or equal to 2.

[0065] It should be noted that the bending moment of the arch rib is closely related to the shape of the arch rib. The radial constraint of the middle suspender on the main arch is strong, and the radial constraint of the side suspender on the main arch is weak, so the main arch with a power value of 2 parabola has a tendency to bulge outward on both sides, and the main arch bears a larger bending stress. The shape profile of the parabola with a power value less than 2 is sharper than the parabola with a power value of 2, that is, the main arch has a tendency to retract inward on both sides, which is just opposite to the displacement trend of the main arch, and plays a counteracting role, and the bending stress of the main arch will also decrease accordingly.

[0066] Preferably, in the step S3, the power value is continuously adjusted, specifically including: the current power value is the last power value minus a preset value.

[0067] In this embodiment, the preset value is 0.05, the first power value is 2, the second power value is 2-0.05=1.95, and the above power value is continuously adjusted in turn.

[0068] Specifically, as shown in Figure 3 , Figure 3 is a flowchart of the process of obtaining the first finite element calculation model in the design method of the embodiment of the application. In the step S3, the difference between the axial stress of the main arch and the bending stress of the main arch is less than or equal to the preset first threshold value when the power value is continuously adjusted, and the first finite element calculation model corresponding to the power value is obtained, specifically including:

[0069] S31, select a power value.

[0070] S32, calculate the difference between the axial stress of the main arch and the bending stress of the main arch output by the initial finite element calculation model, and judge whether the difference is less than or equal to the preset first threshold value. If yes, go to S33; if no, go to S34.

[0071] S33, the initial finite element calculation model at this time is the first finite element calculation model, and the process ends.

[0072] S34, after selecting another power value, go to S32.

[0073] It can be understood that the power value is related to the arch axis equation, and adjusting the power value is equivalent to adjusting the arch axis equation.

[0074] Specifically, the preset first threshold value can be set according to actual conditions, which is not limited herein. The preset first threshold value can be preferably 10. In the initial finite element calculation model, the power value is adjusted to obtain the axial stress of the main arch and the bending stress of the main arch, the difference between the axial stress of the main arch and the bending stress of the main arch is calculated, and the size of the difference and the first preset threshold value is judged. If the difference is less than or equal to the first preset threshold value, the initial finite element calculation model at this time is the first finite element calculation model, and the adjustment of the power value is ended. If the difference is greater than the first preset threshold value, another power value is selected until the difference between the axial stress of the main arch and the bending stress of the main arch is less than or equal to the first preset threshold value, and the adjustment of the power value is ended.

[0075] In an embodiment, in the step S4, the initial tension of the side suspender is calculated according to the formula , wherein G is the self weight of the beam segment, and θ is the included angle between the side suspender and the tie beam.

[0076] In the embodiment, the self weight of the beam segment is the self weight of the beam segment connected with the main arch. The self weight G of the beam segment and the included angle between the side suspender and the tie beam are substituted into the formula , and the initial tension of the side suspender can be obtained.

[0077] Further, the preset tension of the side suspender is obtained by multiplying the initial tension of the side suspender by a preset coefficient.

[0078] It should be noted that in the first finite element calculation model, the preset tension of the side suspender is adjusted, which is usually said to be the preset tension applied on the basis of the initial tension of the side suspender.

[0079] In the embodiment, the preset coefficient is 0.05. The preset tension of the side suspender is obtained by multiplying the initial tension of the side suspender by 0.05.

[0080] In an embodiment, as shown in Figure 4 , the flowchart of the process of obtaining the second finite element calculation model in the design method of the embodiment is shown in Figure 4 . In the step S4, the second finite element calculation model corresponding to the total sum of the axial stress of the tie beam and the bending stress of the tie beam being less than or equal to the preset second threshold value is obtained by continuously adjusting the preset tension of each side suspender, and specifically includes:

[0081] S41, a preset incremental tension is applied to each side suspender.

[0082] S42, the total sum of the axial stress of the tie beam and the bending stress of the tie beam output by the first finite element calculation model is calculated, and it is judged whether the total sum is less than or equal to the preset second threshold value. If yes, go to S43; if no, go to S41.

[0083] S43, the first finite element calculation model at this time is the second finite element calculation model, and the process ends.

[0084] It should be noted that the suspender extends outward from the top or center point of the main arch, similar to the form of a radial line. The bridge deck is provided with two main arches, which are symmetrically arranged on the bridge deck in the transverse direction, and four side suspenders, which are respectively located at the two ends of the main arch. The through-type radial suspender arrangement tied arch bridge has strong radial constraint effect of the middle suspender on the main arch and weak radial constraint effect of the side suspender on the main arch. In order to increase the radial constraint effect of the side suspender on the main arch and reduce the tendency of the main arch to bulge outward on both sides, the side suspender can be increased in tension.

[0085] In this embodiment, a preset increment of tension is applied to each side suspender, that is, the same preset increment of tension is applied to each side suspender. The preset increment of tension is a fixed value, and the increment of tension applied each time is increased on the basis of the increment of tension applied in the previous time.

[0086] Specifically, the preset second threshold value can be set according to actual conditions, which is not limited herein. In the first finite element calculation model, a preset increment of tension is applied to each side suspender, the axial stress of the tie beam and the bending stress of the tie beam are obtained, the sum of the axial stress of the tie beam and the bending stress of the tie beam is calculated, and the size of the sum and the preset second threshold value is judged. If the sum is less than or equal to the size of the preset second threshold value, the first finite element calculation model at this time is the second finite element calculation model, and the adjustment of the preset increment of tension applied to each side suspender is ended. If the sum is greater than the preset second threshold value, the preset increment of tension is continuously applied to each side suspender until the sum of the axial stress of the tie beam and the bending stress of the tie beam is less than or equal to the preset second threshold value, and the application of the preset increment of tension to each side suspender is ended.

[0087] Specifically, in the step S5, according to the calculation result of the second finite element calculation model, the construction drawings of the through-type radial suspender arrangement tied arch bridge are generated according to the actual construction needs, including plan view and section view, etc., as well as related size marking, material marking, etc.

[0088] Further, in some embodiments, in the step S5, based on the above-mentioned second finite element calculation model, the following steps are further included:

[0089] Based on the second finite element calculation model, by continuously adjusting the moving distance of each support, a third finite element calculation model corresponding to the minimum value in the output bending stress of the main arch is found.

[0090] Based on the third finite element calculation model, the construction drawings of the through-type radial suspender arrangement tied arch bridge are generated.

[0091] Specifically, as shown in Figure 5 the step S5, the construction drawings of the through-type radial suspender arrangement tied arch bridge are generated according to the actual construction needs.Figure 5 A flowchart of the obtaining process of the third finite element calculation model in the method for designing the embodiment of the present application is shown. Based on the second finite element calculation model, a third finite element calculation model corresponding to the minimum value in the output bending stress of the main arch is found by continuously adjusting the moving distance of each support; specifically including:

[0092] S61, simultaneously moving each support outward by a preset distance.

[0093] S62, each time the moving distance is adjusted, it is determined whether the bending stress of the main arch output this time is greater than the bending stress of the main arch output last time. If yes, go to S63; if no, go to S61.

[0094] S63, the second finite element calculation model corresponding to the last moving distance is the third finite element calculation model, and the process ends.

[0095] It should be noted that the number of supports of the arch bridge is four, and the four supports are respectively located at the junctions of the two ends of the main arch and the tie beam to ensure that the vertical force is directly transmitted to the supports. According to the principle of force arm, the support has a bending moment at the junction of the main arch and the tie beam, and the direction of the bending moment is clockwise. Then the main arch will generate a counter bending moment, and the direction of the counter bending moment is counterclockwise. The bending moment of the main arch is clockwise, and the counter bending moment of the main arch is exactly opposite to the original bending moment. The counter bending moment of the main arch caused by the support reaction can offset the original bending moment of the main arch, thereby reducing the bending stress of the main arch.

[0096] In this embodiment, each support is simultaneously moved outward by a preset distance, specifically referring to moving the four supports outward by the same distance. The preset distance of each time the four supports are moved outward is the same.

[0097] Specifically, as each support is simultaneously moved outward, the bending stress of the main arch is a curve with an opening upward. Each time the moving distance is adjusted, it is determined whether the bending stress of the main arch output this time is greater than the bending stress of the main arch output last time. If yes, the second finite element calculation model corresponding to the last moving distance is the third finite element calculation model, and the process ends. If the bending stress of the main arch output this time is less than the bending stress of the main arch output last time, the process of simultaneously moving each support outward by a preset distance is continued until the third finite element calculation model corresponding to the minimum value in the output bending stress of the main arch is found, and the process of simultaneously moving each support outward by a preset distance ends.

[0098] In the second finite element calculation model, the third finite element calculation model corresponding to the minimum value in the bending stress of the main arch is found by adjusting the moving distance of each support, and the construction drawing of the through-type radial suspender arranged tied-arch bridge is generated based on the third finite element calculation model. The construction drawing obtained by the design method can offset part of the original bending moment of the main arch by the bending moment generated by the support to the junction point of the main arch and the tie beam due to the outward movement of the support, and the bending stress of the main arch is reduced in proportion to the bending moment.

[0099] In a second aspect, the application provides a design system of a through-type radial suspender arranged tied-arch bridge.

[0100] In an embodiment, the design system of the through-type radial suspender arranged tied-arch bridge comprises Figure 6 , Figure 6 The design system of the through-type radial suspender arranged tied-arch bridge comprises Figure 6 The design system of the through-type radial suspender arranged tied-arch bridge comprises

[0101] An arch axis equation establishing module is configured to establish an arch axis equation of the arch bridge based on the geometric shape, the design type and a preset power value of the arch bridge;

[0102] A model management module is configured to establish an initial finite element calculation model of the arch bridge based on the arch axis equation, the preset tension of each side suspender and the moving distance of each support, and output the axial stress and the bending stress of the main arch and the axial stress and the bending stress of the tie beam;

[0103] A power value adjusting module is configured to continuously adjust the power value, and obtain a first finite element calculation model corresponding to the case that the difference between the axial stress of the main arch and the bending stress of the main arch is less than or equal to a preset first threshold value through the model management module;

[0104] A side suspender adjusting module is configured to continuously adjust the preset tension of each side suspender based on the first finite element calculation model, and obtain a second finite element calculation model corresponding to the case that the sum of the axial stress of the tie beam and the bending stress of the tie beam is less than or equal to a preset second threshold value through the model management module;

[0105] A construction drawing generating module is configured to generate a construction drawing of the through-type radial suspender arranged tied-arch bridge based on the second finite element calculation model.

[0106] The design system of the through-type radial suspender arranged tied-arch bridge is suitable for the design method of the through-type radial suspender arranged tied-arch bridge, and a reasonable arch axis equation is obtained, and the bending stress of the main arch is controlled to a reasonable range, so as to ensure that the main arch mainly bears the axial stress and reduce the damage of the bending stress to the main arch.

[0107] The following is a specific example to facilitate the understanding of the present application.

[0108] Figure 2 A structural schematic diagram of the through-type radial suspender arrangement tied arch bridge is shown in Figure 2 The through-type radial suspender arrangement tied arch bridge includes a main arch 1, a tie beam 2, a suspender 3, an edge suspender 31, a support 4 and a virtual radial point 5. The edge suspender 31 is the outermost suspender, L is the span, h is the rise, ds is the distance between two adjacent suspenders, and H is the distance from the virtual radial point of the suspender to the beam surface. In this embodiment, L is 255 m, h is 46.3 m, ds is 15 m, and H is 104.8 m.

[0109] This embodiment is designed by using the above design method, and the specific data are as follows:

[0110] The parabolic equation of the arch bridge is determined according to the geometric shape and design requirements of the arch bridge, y=ax n +b.

[0111] Through calculation, the power value is determined to be 1.9.

[0112] Through calculation, b is determined to be 46.3.

[0113] According to the formula a is determined to be -0.004625.

[0114] According to a, b and the power value, the specific arch axis equation y=-0.004625x 1.9 +46.3 is obtained.

[0115] The preset tension of the edge suspender is 3500 kN.

[0116] The moving distance of the four supports is 3.55 m.

[0117] The terms “comprise” and “have” and any variations thereof in the specification and claims of the present application and the above drawings are intended to cover non-exclusive inclusion. For example, a process, method, system, product or device including a series of steps or units is not limited to the listed steps or units, but optionally further includes steps or units not listed, or optionally further includes other steps or units inherent to the process, method, product or device. The terms “first”, “second” and “third” and the like descriptions are used to distinguish different objects, and do not represent the order or limit the types of “first”, “second” and “third”.

[0118] In the description of the embodiments of the present application, "exemplary", "for example", "e.g." or "for instance" are used on the basis that a person of ordinary skill in the art will be able to draw more general principles from the embodiments disclosed herein, and not to imply or restrict the disclosure to specific embodiments. Any embodiment or design scheme described as "exemplary", "for example" or "for instance" in the embodiments of the present application should not be interpreted as being more preferred or advantageous than other embodiments or design schemes. In fact, the words "exemplary", "for example" or "for instance" are used to present relevant concepts in a specific way.

[0119] In the description of the embodiments of the present application, unless otherwise specified, " / " means or, for example, A / B can mean A or B; "and / or" in the text only describes the relationship of the associated objects, which means that there can be three relationships, for example, A and / or B, which can mean that A exists alone, A and B exist together, and B exists alone, and in addition, in the description of the embodiments of the present application, "multiple" means two or more than two.

[0120] In some of the processes described in the embodiments of the present application, a plurality of operations or steps are included in a specific order, but it should be understood that these operations or steps can be executed or in parallel without the order in which they appear in the embodiments of the present application, and the serial number of the operation is only used to distinguish different operations, and the serial number itself does not represent any execution order. In addition, these processes can include more or fewer operations, and these operations or steps can be executed in sequence or in parallel, and these operations or steps can be combined.

[0121] The above is only the preferred embodiment of the present application, and does not limit the patent scope of the present application, and any equivalent structure or equivalent process transformation using the content of the specification and drawings of the present application, or directly or indirectly applied to other related technical fields, are also included in the patent protection scope of the present application.

Claims

1. A method of designing a through-radiant boom arrangement tied arch bridge, characterized in that, It comprises the following steps: Based on the geometric shape, design type and preset power value of the arch bridge, the arch axis equation of the arch bridge is established; Based on the arch axis equation, the preset tension of each side suspender and the moving distance of each support, the initial finite element calculation model of the arch bridge is established, and the axial stress and bending stress of the main arch and the axial stress and bending stress of the tie beam are outputted; By continuously adjusting the power value, the first finite element calculation model corresponding to the difference between the axial stress of the main arch and the bending stress of the main arch being less than or equal to the preset first threshold value is obtained; Based on the first finite element calculation model, by continuously adjusting the preset tension of each side suspender, the second finite element calculation model corresponding to the sum of the axial stress of the tie beam and the bending stress of the tie beam being less than or equal to the preset second threshold value is obtained; Based on the second finite element calculation model, the construction drawing of the through-type radial suspender arrangement tied arch bridge is generated.

2. The method of designing a through-radiant bowstring truss arch bridge of claim 1, wherein, After the second finite element calculation model, it further comprises: Based on the second finite element calculation model, by continuously adjusting the moving distance of each support, the third finite element calculation model corresponding to the minimum value of the output bending stress of the main arch is found; Based on the third finite element calculation model, the construction drawing of the through-type radial suspender arrangement tied arch bridge is generated.

3. The method of designing a through-radiant bowstring truss arch bridge of claim 2, wherein, Based on the second finite element calculation model, by continuously adjusting the moving distance of each support, the third finite element calculation model corresponding to the minimum value of the output bending stress of the main arch is found, specifically comprising: S61, simultaneously moving each support outward by a preset distance; S62, each time the moving distance is adjusted, it is judged whether the output bending stress of the main arch at this time is greater than the output bending stress of the main arch at the last time, if yes, go to S63; if no, go to S61; S63, the second finite element calculation model corresponding to the last moving distance is the third finite element calculation model, and the process ends.

4. The method of designing a through-radiant bowstring truss arch bridge of claim 1, wherein, Based on the geometric shape, design type and preset power value of the arch bridge, the arch axis equation of the arch bridge is obtained, specifically comprising: Based on the geometric shape and design type of the arch bridge, the parabolic equation form of the arch bridge is obtained; The preset power value is substituted into the parabolic equation of the arch bridge to obtain the arch axis equation of the arch bridge.

5. The method of designing a through-radiant bowstring truss arch bridge of claim 1, wherein, The preset range of the power value is less than or equal to 2.

6. The method of designing a through-radiant bowstring truss arch bridge of claim 1, wherein, The preset tension of the side suspender is obtained by: The initial tension of the side suspender is multiplied by a preset coefficient to obtain the preset tension.

7. The design method of the through-type radial suspender arrangement tied arch bridge according to claim 6, wherein The initial tension force F of the side suspender is calculated according to the formula Gθ, wherein G is the self weight of the beam segment, and θ is the included angle between the side suspender and the tie beam.

8. The method of designing a through-radiant bowstring truss bowstring arch bridge of claim 1, wherein, The first finite element calculation model corresponding to the difference between the axial stress of the main arch and the bending stress of the main arch being less than or equal to the preset first threshold value is obtained by continuously adjusting the power value, specifically comprising: S31, selecting a power value; S32, calculating the difference between the axial stress of the main arch and the bending stress of the main arch outputted by the initial finite element calculation model, and judging whether the difference is less than or equal to the preset first threshold value, if yes, going to S33; if no, going to S34; S33, the initial finite element calculation model at this time is the first finite element calculation model, and the process ends; S34, after selecting another power value, going to S32.

9. The method of designing a through-radiant bowstring truss arch bridge of claim 1 wherein, The second finite element calculation model corresponding to the case that the sum of the axial stress of the tie beam and the bending stress of the tie beam is less than or equal to the preset second threshold value is obtained by continuously adjusting the preset tension of each side suspender, and specifically includes the following steps. S41, simultaneously applying a preset incremental tension to each side suspender; S42, calculating the sum of the axial stress of the tie beam and the bending stress of the tie beam output by the first finite element calculation model, and judging whether the sum is less than or equal to the preset second threshold value, if yes, entering S43; if no, turning to S41; S43, the first finite element calculation model at this time is the second finite element calculation model, and the process ends.

10. A design system for a through-radiant bowstring arrangement tied arch bridge, characterized by, Comprise: An arch axis equation establishing module, which is configured to establish an arch axis equation of the arch bridge based on a geometric shape, a design type and a preset power value of the arch bridge; A model management module, which is configured to establish an initial finite element calculation model of the arch bridge based on the arch axis equation, a preset tension of each side suspender and a moving distance of each support, and output axial stress and bending stress of the main arch and axial stress and bending stress of the tie beam; A power value adjusting module, which is configured to continuously adjust the power value, and obtain a first finite element calculation model corresponding to the case that a difference between the axial stress of the main arch and the bending stress of the main arch is less than or equal to a preset first threshold value through the model management module; A side suspender adjusting module, which is configured to continuously adjust the preset tension of each side suspender based on the first finite element calculation model, and obtain a second finite element calculation model corresponding to the case that the sum of the axial stress of the tie beam and the bending stress of the tie beam is less than or equal to a preset second threshold value through the model management module; A construction drawing generation module, which is configured to generate a construction drawing of the through-type radial suspender arrangement tied arch bridge based on the second finite element calculation model.

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