Conversion method and device for main span and suspended span rise-span ratios of cable-stayed and suspension cooperative system bridges

The main cable curve of the cable-stayed suspension cable cooperation system bridge is calculated in segments through the parabolic principle, and the vector-height relationship is determined in combination with the main cable horizontal component force, which realizes the rapid conversion of the hanging span and the main span vector-span ratio, solving the cumbersome calculation problems in the existing technology, and improving efficiency and accuracy.

CN115168966BActive Publication Date: 2025-07-11CHINA RAILWAY MAJOR BRIDGE RECONNAISSANCE & DESIGN INSTITUTE CO LTD
View PDF 2 Cites 0 Cited by

Patent Information

Application Number
CN202210886995.0
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-07-26
Publication Date
2025-07-11
Estimated Expiration
2042-07-26

AI Technical Summary

Technical Problem

In the prior art, the main span and the vector span of the cable-stayed suspension cable collaboration system bridge are more complicated than the calculation process, requiring repeated modeling and adjustment, which is time-consuming and labor-intensive.

Method used

The main cable is segmented using the parabolic principle, and the curve equation of each section of the main cable is determined, and the correspondence between the main cable vector height in the sling section and the main cable vector height in the entire main span is determined by the horizontal division force of the main cable, thereby establishing the conversion relationship between the hanging span vector span ratio and the main span main cable vector span ratio.

Benefits of technology

With any vector-span ratio known, the other vector-span ratio can be quickly determined, which improves the computing efficiency, avoids repeated modeling and adjustments, saves time, and ensures the accuracy of the main tower and cable-stayed cable arrangement.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN115168966B_ABST
    Figure CN115168966B_ABST
Patent Text Reader

Abstract

The present invention relates to a method and device for converting the ratio of rise to span of the main span and the suspended span of a cable-stayed suspension cooperative system bridge. The method is characterized in that it includes the steps of: segmenting the main cable according to the parabola principle and determining the curve equation of each segment of the main cable curve; determining the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span by combining the curve equation of each segment of the main cable curve with the horizontal component force of the main cable; and determining the conversion relationship between the ratio of rise to span of the suspended span and the ratio of rise to span of the main cable of the main span based on the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span. It can quickly determine the other when knowing any ratio of rise to span of the main span and the suspended span, improving the calculation efficiency.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The present invention relates to the technical field of bridge engineering, and particularly relates to a method and device for converting the span-depth ratios of the main span and the suspended span of a cable-stayed suspension cooperative system bridge. Background Art

[0002] In a suspension bridge, the definition of the span-depth ratio of the main cable is the ratio of the sag to the span. The main span of a cable-stayed suspension cooperative system bridge usually consists of a cable-stayed section near the main tower, a pure suspended section in the middle of the span, and a cable-stayed suspended intersection section. There are no suspenders on the main cable of the cable-stayed section, while both the pure suspended section and the intersection section have suspenders, but the load intensity of the suspenders is different. Since there are no suspenders on the main cable of the cable-stayed section, two definitions of the span-depth ratio are generated for the cable-stayed suspension cooperative system bridge: one is the ratio of the sag of the main cable within the entire main span to the span, which can be called the main span-depth ratio, and the other is the ratio of the sag of the main cable within the suspender range to the span, which can be called the suspended span-depth ratio. The main span-depth ratio is used to determine the elevation of the theoretical apex of the main cable, and then the height of the main tower and the specific layout of the cable-stayed cables can be determined. The suspended span-depth ratio can be used to judge whether the layout of the main cable is appropriate.

[0003] In order to obtain the two span-depth ratios, in the related art, a finite element model is first established for the form-finding iterative calculation of the main cable. After determining the coordinates of each sub-point on each main cable, the coordinates of the end suspenders and the sub-point in the middle of the main cable are selected to calculate the difference to obtain the other span-depth ratio. The calculation process is relatively cumbersome, and often when adjusting one of the span-depth ratios, it is necessary to repeatedly build models and calculate for adjustment, which is time-consuming and laborious. Summary of the Invention

[0004] Embodiments of the present invention provide a method and device for converting the span-depth ratios of the main span and the suspended span of a cable-stayed suspension cooperative system bridge, which can quickly determine the other span-depth ratio after knowing any one of the main span and the suspended span, and improve the calculation efficiency.

[0005] Embodiments of the present invention provide a method for converting the span-depth ratios of the main span and the suspended span of a cable-stayed suspension cooperative system bridge, which is characterized in that it includes the steps of:

[0006] Segmenting the main cable according to the parabola principle and determining the curve equation of each segment of the main cable curve;

[0007] Combining the curve equation of each segment of the main cable curve with the horizontal component force of the main cable to determine the corresponding relationship between the sag of the main cable within the suspender section and the sag of the main cable within the entire main span;

[0008] Based on the corresponding relationship between the sag of the main cable within the suspender section and the sag of the main cable within the entire main span, determining the conversion relationship between the suspended span-depth ratio and the main span-depth ratio of the main cable.

[0009] In some embodiments, the step of segmenting the main cable according to the parabola principle and determining the curve equation of each segment of the main cable curve includes the steps of:

[0010] Taking the midpoint of the line connecting the theoretical intersection points of the main cables at the two tower tops as the origin O, a coordinate system xy is established, where the x-axis is set along the longitudinal bridge direction and the y-axis is set along the vertical bridge direction;

[0011] The main cable is divided into five segments according to the pure suspension section, crossover section and cable-stayed section of the main girder, which are successively the left loose cable section, left crossover section, pure suspension section, right crossover section and right loose cable section;

[0012] Determine the curve equation of each section of the main cable curve according to the first formula, and the first formula includes:

[0013]

[0014]

[0015]

[0016]

[0017]

[0018]

[0019]

[0020]

[0021]

[0022]

[0023] Among them, y0(x) is the curve equation of the pure suspension section, y′0(x) is the first derivative of y0(x), y1(x) represents the main cable curve equation of the right crossover section, y′1(x) is the first derivative of y1(x), y2(x) represents the main cable curve equation of the right loose cable section, y′2(x) is the first derivative of y2(x), y3(x) represents the main cable curve equation of the left crossover section, y4(x) represents the main cable curve equation of the left loose cable section, C is the elevation difference between the main cable endpoints at both main towers, L is the main span of the cable-stayed suspension cooperative system bridge, L xd is the horizontal length of the pure suspension section, L jc is the horizontal length of the crossover section, L xl is the horizontal length of the cable-stayed section of the main girder and the loose cable section of the main cable, a0, a1, and a2 are all intermediate coefficients, q0 is the load intensity of the main cable in the pure suspension section, q1 is the load intensity of the main cable in the crossover section, q2 is the self-load intensity of the main cable in the cable-stayed section, H q is the horizontal component force of the main cable.

[0024] In some embodiments, determining the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span based on the curve equation of each section of the main cable curve and the horizontal component force of the main cable includes the steps of: determining the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span according to the second formula, and the second formula is:

[0025]

[0026] where f0 is the sag of the main cable in the sling section, and f is the sag of the main cable in the entire main span.

[0027] In some embodiments, determining the conversion relationship between the sling-span sag-span ratio and the main-span main-cable sag-span ratio based on the corresponding relationship between the sag of the main cable in the cable section and the sag of the main cable in the entire main span includes the steps of:

[0028] Determining the conversion relationship according to the third formula, and the third formula is:

[0029]

[0030] where n0 is the sling-span sag-span ratio, and n is the main-span main-cable sag-span ratio.

[0031] In a second aspect, an embodiment of the present invention provides a conversion device for the sag-span ratios of the main span and the sling span of a cable-stayed suspension cooperative system bridge, which is characterized in that it includes:

[0032] A curve equation determination module, which is used to segment the main cable according to the parabola principle and determine the curve equation of each section of the main cable curve;

[0033] A sag ratio determination module, which is used to determine the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span by combining the curve equation of each section of the main cable curve and the horizontal component force of the main cable;

[0034] A conversion relationship determination module, which is used to determine the conversion relationship between the sling-span sag-span ratio and the main-span main-cable sag-span ratio based on the corresponding relationship between the sag of the main cable in the cable section and the sag of the main cable in the entire main span.

[0035] In some embodiments, the curve equation determination module is further used to:

[0036] Take the midpoint of the line connecting the theoretical intersection points of the main cables at the two tower tops as the origin O to establish a coordinate system xy, where the x-axis is set along the longitudinal bridge direction and the y-axis is set along the vertical bridge direction;

[0037] Divide the main cable into five sections according to the pure suspension section, the crossover section, and the cable-stayed section, which are the left cable-stayed section, the left crossover section, the pure suspension section, the right crossover section, and the right cable-stayed section in sequence;

[0038] Determine the curve equation of each section of the main cable curve according to the first formula, and the first formula includes:

[0039]

[0040]

[0041]

[0042]

[0043]

[0044]

[0045]

[0046]

[0047]

[0048]

[0049] Among them, y0(x) is the curve equation of the pure suspension section, y′0(x) is the first derivative of y0(x), y1(x) represents the main cable curve equation of the right crossover section, y′1(x) is the first derivative of y1(x), y2(x) represents the main cable curve equation of the right unloaded cable section, y′2(x) is the first derivative of y2(x), y3(x) represents the main cable curve equation of the left crossover section, y4(x) represents the main cable curve equation of the left unloaded cable section, C is the elevation difference of the main cable endpoints at both main towers, L is the main span of the cable-stayed suspension cooperative system bridge, L xd is the horizontal length of the pure suspension section, L jc is the horizontal length of the crossover section, L xl is the horizontal length of the main beam cable-stayed section and the main cable unloaded cable section, a0, a1, and a2 are all intermediate coefficients, q0 is the main cable load intensity in the pure suspension section, q1 is the main cable load intensity in the crossover section, q2 is the self-load intensity of the main cable in the cable-stayed section, H q is the horizontal component force of the main cable.

[0050] In some embodiments, the sag ratio determination module is further configured to:

[0051] Determine the corresponding relationship between the main cable sag in the sling section and the main cable sag in the entire main span according to the second formula, and the second formula is:

[0052]

[0053] where f0 is the main cable sag in the sling section and f is the main cable sag in the entire main span.

[0054] In some embodiments, the conversion relationship determination module is further configured to:

[0055] Determine the conversion relationship according to a third formula, where the third formula is:

[0056]

[0057] where n0 is the sag-span ratio of the suspended span and n is the sag-span ratio of the main span.

[0058] In a third aspect, an embodiment of the present invention further provides a device, which is characterized in that the device includes: at least one processor; and a memory coupled to the at least one processor, where the memory contains instructions stored therein, and the instructions, when loaded and executed by the processor, are used to implement the method described in any one of the foregoing method embodiments.

[0059] In a fourth aspect, an embodiment of the present invention further provides a computer-readable storage medium, which is characterized in that a computer program is stored on the computer-readable storage medium, and when the computer program is executed by a processor, the steps of the conversion method are implemented.

[0060] The embodiment of the present invention provides a method and device for converting the sag-span ratios of the main span and the suspended span of a cable-stayed suspension cooperative system bridge, and the beneficial effects include:

[0061] According to the proposed conversion formula between the sag-span ratio of the main span and the sag-span ratio of the suspended span, one of them can be quickly determined when the other is known, avoiding the common method of generally first establishing a finite element model for the main cable shape-finding iterative calculation, determining the coordinates of each sub-point on the main cable, and then selecting the coordinates of the end suspension cable and the sub-point in the middle of the main cable to calculate the difference to obtain the other sag-span ratio, saving time and improving efficiency. In addition, by specifying the sag-span ratio of the main span, the sag-span ratio of the main span can be adjusted in time according to whether the converted sag-span ratio of the suspended span is within the range of the sag-span ratio of a common suspension bridge, avoiding the trouble of repeated adjustment in modeling calculation. At the same time, by first specifying the sag-span ratio of the suspended span, the sag-span ratio of the main span can be quickly determined, so as to determine the theoretical intersection position on the main towers on both sides of the main cable, and then the layout of the main towers and the cable-stayed cables can be clarified. BRIEF DESCRIPTION OF THE DRAWINGS

[0062] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the following will briefly introduce the drawings required for the description of the embodiments. Obviously, the following drawings are only some embodiments of the present invention, and those of ordinary skill in the art can obtain other drawings without creative efforts based on these drawings.

[0063] Figure 1 It is a schematic flowchart of a method for converting the sag-span ratios of the main span and the suspended span of a cable-stayed suspension cooperative system bridge provided by an embodiment of the present invention;

[0064] Figure 2 Schematic diagram of the segmented structure of the cable-stayed suspension cooperative system bridge provided by the embodiment of the present invention;

[0065] Figure 3 Calculation diagram of the main cable provided by the embodiment of the present invention;

[0066] Figure 4 Structure block diagram of the device for converting the main span and suspended span rise-span ratios of the cable-stayed suspension cooperative system bridge provided by the embodiment of the present invention;

[0067] Description of the drawings: 1. Main cable; 2. Suspender; 3. Main beam; 4. Cable-stayed cable; 5. Main tower. Detailed implementation manners

[0068] To make the objectives, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are some but not all of the embodiments of the present invention. All other embodiments obtained by those of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the protection scope of the present invention.

[0069] As Figure 1 shown, the embodiment of the present invention provides a method for converting the main span and suspended span rise-span ratios of a cable-stayed suspension cooperative system bridge, which includes the steps:

[0070] S100: Segment the main cable according to the parabola principle and determine the curve equation of each segment of the main cable curve;

[0071] S200: Determine the corresponding relationship between the main cable sag in the suspender section and the main cable sag in the entire main span based on the curve equation of each segment of the main cable curve and the horizontal component force of the main cable;

[0072] S300: Determine the conversion relationship between the suspended span rise-span ratio and the main span main cable rise-span ratio based on the corresponding relationship between the main cable sag in the cable section and the main cable sag in the entire main span.

[0073] It can be understood that in the embodiments of the present invention, the main-span rise-span ratio and the suspended-span rise-span ratio can be quickly determined based on the conversion relationship between them when one of them is known, avoiding the common method of generally first establishing a finite element model for the main cable shape-finding iterative calculation, determining the coordinates of each sub-point on each main cable, and then selecting the coordinates of the end suspension cables and the sub-points in the middle of the main cable to calculate the difference to obtain the other rise-span ratio, saving time and improving efficiency. In addition, by specifying the main-span rise-span ratio, the main-span rise-span ratio can be adjusted in a timely manner according to whether the converted suspended-span rise-span ratio is within the range of the common rise-span ratios of suspension bridges, avoiding the trouble of repeated adjustment in the modeling calculation. At the same time, by first specifying the suspended-span rise-span ratio, the main-span rise-span ratio can be quickly determined, so as to determine the theoretical intersection positions on the main towers on both sides of the main cable, and then the layout of the main towers and stay cables can be clarified.

[0074] See Figure 2 and Figure 3 As shown in, in some embodiments, S100 includes the steps of:

[0075] S110: Take the midpoint of the connection line of the theoretical intersection points of the main cables at the two tower tops as the origin O to establish a coordinate system xy, where the x-axis is set along the longitudinal bridge direction and the y-axis is set along the vertical bridge direction;

[0076] S120: Divide the main cable into five sections according to the pure suspension section, the crossover section, and the stay cable section of the main girder, which are successively the left free cable section, the left crossover section, the pure suspension section, the right crossover section, and the right free cable section;

[0077] S130: Determine the curve equation of each section of the main cable curve according to the first formula, and the first formula includes:

[0078]

[0079]

[0080]

[0081]

[0082]

[0083]

[0084]

[0085]

[0086]

[0087]

[0088] Among them, y0(x) is the curve equation of the pure suspension section, y′0(x) is the first derivative of y0(x), y1(x) represents the main cable curve equation of the right crossover section, y′1(x) is the first derivative of y1(x), y2(x) represents the main cable curve equation of the right unloaded cable section, y′2(x) is the first derivative of y2(x), y3(x) represents the main cable curve equation of the left crossover section, y4(x) represents the main cable curve equation of the left unloaded cable section, C is the elevation difference of the main cable endpoints at both main towers, L is the main span of the cable-stayed suspension collaborative system bridge, L xd is the horizontal length of the pure suspension section, L jc is the horizontal length of the crossover section, L xl is the horizontal length of the cable-stayed section of the main girder and the unloaded cable section of the main cable, a0, a1, and a2 are all intermediate coefficients, q0 is the load intensity of the main cable in the pure suspension section, q1 is the load intensity of the main cable in the crossover section, q2 is the self-load intensity of the main cable in the cable-stayed section, H q is the horizontal component force of the main cable.

[0089] In some embodiments, in S200, the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span can be determined according to the second formula, and the second formula is:

[0090]

[0091] Among them, f0 is the sag of the main cable in the sling section, and f is the sag of the main cable in the entire main span.

[0092] It should be noted that first, the expression of the sag f0 of the main cable in the sling section can be obtained according to the curve equation determined by the first formula:

[0093]

[0094] Then substitute H q to obtain the corresponding relationship:

[0095]

[0096] In some embodiments, in S300, the conversion relationship can be determined according to the third formula, and the third formula is:

[0097]

[0098] Among them, n0 is the cable-span ratio of the sling span, and n is the cable-span ratio of the main span.

[0099] In a specific embodiment, through measurement, L = 1488m, C = 0m, L xd = 452m, L jc = 112m, L xl= 406 m, q0 = 332 kN / m, q1 = 184.5 kN / m, q2 = 37 kN / m. The span - to - rise ratio of the main span is n = 1 / 6.5, that is, the rise f = nL = 228.923 m. Calculated according to the proposed conversion formula, the span - to - rise ratio of the suspended span is n0 = 1 / 9.81. After form - finding iteration by finite - element software, the span - to - rise ratio of the suspended span is n0 = 1 / 9.86, and the difference between the two is 0.5%, indicating that the calculation accuracy is relatively high.

[0100] As Figure 4 shown, the embodiment of the present invention further provides a device for converting the span - to - rise ratios of the main span and the suspended span of a cable - stayed and suspension cooperative system bridge, which is characterized in that it includes:

[0101] A curve - equation determination module, which is used to segment the main cable according to the parabola principle and determine the curve equation of each segment of the main - cable curve;

[0102] A rise - ratio determination module, which is used to determine the corresponding relationship between the rise of the main cable in the hanger section and the rise of the main cable in the entire main span by combining the curve equation of each segment of the main - cable curve with the horizontal component force of the main cable;

[0103] A conversion - relationship determination module, which is used to determine the conversion relationship between the span - to - rise ratio of the suspended span and the span - to - rise ratio of the main - cable in the main span based on the corresponding relationship between the rise of the main cable in the cable section and the rise of the main cable in the entire main span.

[0104] In some embodiments, the curve - equation determination module is further used for:

[0105] Taking the mid - point of the connection line of the theoretical intersection points of the main cables at the two tower tops as the origin O to establish a coordinate system xy, where the x - axis is set along the longitudinal bridge direction and the y - axis is set along the vertical bridge direction;

[0106] Dividing the main cable into five sections according to the pure - suspension section, the crossover section, and the cable - stayed section, which are the left cable - stayed section, the left crossover section, the pure - suspension section, the right crossover section, and the right cable - stayed section in sequence;

[0107] Determining the curve equation of each segment of the main - cable curve according to the first formula, and the first formula includes:

[0108]

[0109]

[0110]

[0111]

[0112]

[0113]

[0114]

[0115]

[0116]

[0117]

[0118] Among them, y0(x) is the curve equation of the pure suspension section, y′0(x) is the first derivative of y0(x), y1(x) represents the main cable curve equation of the right crossover section, y′1(x) is the first derivative of y1(x), y2(x) represents the main cable curve equation of the right unloaded cable section, y′2(x) is the first derivative of y2(x), y3(x) represents the main cable curve equation of the left crossover section, y4(x) represents the main cable curve equation of the left unloaded cable section, C is the elevation difference between the main cable endpoints at both main towers, L is the main span of the cable-stayed suspension collaborative system bridge, L xd is the horizontal length of the pure suspension section, L jc is the horizontal length of the crossover section, L xl is the horizontal length of the cable-stayed section of the main girder and the unloaded cable section of the main cable. a0, a1, and a2 are all intermediate coefficients, q0 is the load intensity of the main cable in the pure suspension section, q1 is the load intensity of the main cable in the crossover section, q2 is the self-load intensity of the main cable in the cable-stayed section, H q is the horizontal component force of the main cable.

[0119] In some embodiments, the sag ratio determination module is further configured to:

[0120] Determine the corresponding relationship between the main cable sag in the sling section and the main cable sag in the entire main span according to the second formula, and the second formula is:

[0121]

[0122] where f0 is the main cable sag in the sling section and f is the main cable sag in the entire main span.

[0123] In some embodiments, the conversion relationship determination module is further configured to:

[0124] Determine the conversion relationship according to the third formula, and the third formula is:

[0125]

[0126] where n0 is the sling-span sag-span ratio and n is the main-span sag-span ratio.

[0127] In a third aspect, an embodiment of the present invention further provides a device, characterized in that the device includes: at least one processor; and a memory coupled to the at least one processor, the memory containing instructions stored therein, the instructions being loaded and executed by the processor to implement the method according to any one of the method embodiments.

[0128] In a fourth aspect, an embodiment of the present invention further provides a computer-readable storage medium, characterized in that a computer program is stored on the computer-readable storage medium, and when the computer program is executed by a processor, the steps of the conversion method are implemented.

[0129] In the description of the present invention, it should be noted that the orientation or positional relationship indicated by terms such as "upper" and "lower" is based on the orientation or positional relationship shown in the drawings, and is only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of the present invention. Unless otherwise clearly specified and defined, the terms "installation", "connection" and "coupling" should be understood in a broad sense. For example, it can be a fixed connection, a detachable connection or an integral connection; it can be a mechanical connection or an electrical connection; it can be directly connected or indirectly connected through an intermediate medium, and it can be the communication inside two elements. For those of ordinary skill in the art, the specific meanings of the above terms in the present invention can be understood according to specific circumstances.

[0130] It should be noted that in the present invention, relational terms such as "first" and "second" are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any actual relationship or order between these entities or operations. Moreover, the terms "comprise", "include" or any other variant thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device including a series of elements not only includes those elements, but also includes other elements not expressly listed, or also includes elements inherent to such process, method, article or device. Without further limitation, an element defined by the statement "comprising a..." does not exclude the existence of additional identical elements in the process, method, article or device including the element.

[0131] The above are only specific embodiments of the present invention, enabling those skilled in the art to understand or implement the present invention. Various modifications to these embodiments will be obvious to those skilled in the art, and the general principles defined herein can be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention will not be limited to these embodiments shown herein, but rather will be accorded the widest scope consistent with the principles and novel features claimed herein.

Claims

1. A method for converting the span-depth ratios of the main span and the suspended span of a cable-stayed and suspension cooperative system bridge, characterized in that, It includes the steps: Segment the main cable according to the parabola principle and determine the curve equation of each segment of the main cable curve; Determine the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span based on the curve equation of each segment of the main cable curve combined with the horizontal component force of the main cable; Based on the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span, determine the conversion relationship between the sag-span ratio of the suspended span and the sag-span ratio of the main cable of the main span; The segmenting the main cable according to the parabola principle and determining the curve equation of each segment of the main cable curve includes the steps: Take the midpoint of the line connecting the theoretical intersection points of the main cables at the two tower tops as the origin Establish a coordinate system , and the x-axis is set along the longitudinal bridge direction, the y-axis is set along the vertical bridge direction; Divide the main cable into five segments according to the pure suspension section, the crossover section, and the cable-stayed section of the main girder, which are successively the left loose cable section, the left crossover section, the pure suspension section, the right crossover section, and the right loose cable section; Determine the curve equation of each segment of the main cable curve according to the first formula, and the first formula includes: , , , , , , , , , , , , Among them, y 0( x ) is the curve equation of the pure suspension section, is the first derivative of indicating the main cable curve equation of the right crossover section, is the first derivative of indicating the main cable curve equation of the right unloaded cable section, is the first derivative of indicating the main cable curve equation of the left crossover section, indicating the main cable curve equation of the left unloaded cable section, is the elevation difference of the main cable endpoints at both main towers, is the main span of the cable-stayed suspension cooperative system bridge, is the horizontal length of the pure suspension section, is the horizontal length of the crossover section, is the horizontal length of the cable-stayed section of the main girder and the unloaded cable section of the main cable, , , are all intermediate coefficients, is the load intensity of the main cable in the pure suspension section, is the load intensity of the main cable in the crossover section, is the self-load intensity of the main cable in the cable-stayed section, is the horizontal component force of the main cable, is the sag of the main cable within the entire main span.

2. The method for converting the main span and suspended span rise-span ratios of the cable-stayed and suspended cable collaborative system bridge according to claim 1, wherein The determining the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span based on the curve equation of each segment of the main cable curve combined with the horizontal component force of the main cable includes the steps: Determine the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span according to the second formula, and the second formula is: , Among them, is the sag of the main cable within the sling section, is the sag of the main cable within the entire main span.

3. The method for converting the main span and suspended span rise-span ratios of the cable-stayed and suspension cooperative system bridge according to claim 2, wherein, The determining the conversion relationship between the sag-span ratio of the suspended span and the sag-span ratio of the main cable of the main span based on the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span includes the steps: Determine the conversion relationship according to the third formula, and the third formula is: , Among them, is the suspension span rise-to-span ratio, is the main span rise-to-span ratio.

4. A device for converting the ratio of rise to span of the main span and the suspended span of a cable-stayed and suspended cable collaborative system bridge, characterized in that, It includes: A curve equation determination module, which is used to segment the main cable according to the parabola principle and determine the curve equation of each segment of the main cable curve; A sag ratio determination module, which is used to determine the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span based on the curve equation of each segment of the main cable curve combined with the horizontal component force of the main cable; A conversion relationship determination module, which is used to determine the conversion relationship between the sag-span ratio of the suspended span and the sag-span ratio of the main cable of the main span based on the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span; The curve equation determination module is further used for: Take the midpoint of the line connecting the theoretical intersection points of the main cables at the two tower tops as the origin Establish a coordinate system , and the x-axis is set along the longitudinal direction of the bridge, the y-axis is set along the vertical direction of the bridge; Divide the main cable into five segments according to the pure suspension section, the crossover section, and the cable-stayed section of the main girder, which are successively the left loose cable section, the left crossover section, the pure suspension section, the right crossover section, and the right loose cable section; Determine the curve equation of each segment of the main cable curve according to the first formula, and the first formula includes: , , , , , , , , , , , , Among them, y 0( x ) is the curve equation of the pure suspension section, is the first derivative of indicating the main cable curve equation of the right crossover section, is the first derivative of indicating the main cable curve equation of the right unloaded cable section, is the first derivative of indicating the main cable curve equation of the left crossover section, indicating the main cable curve equation of the left unloaded cable section, is the elevation difference of the main cable endpoints at both main towers, is the main span of the cable-stayed suspension cooperative system bridge, is the horizontal length of the pure suspension section, is the horizontal length of the crossover section, is the horizontal length of the cable-stayed section of the main girder and the unloaded cable section of the main cable, , , are all intermediate coefficients, is the load intensity of the main cable in the pure suspension section, is the load intensity of the main cable in the crossover section, is the self-load intensity of the main cable in the cable-stayed section, is the horizontal component force of the main cable, is the sag of the main cable within the entire main span.

5. The main span and suspended span rise-span ratio conversion device of the cable-stayed and suspension cooperative system bridge according to claim 4, characterized in that, The sag ratio determination module is further used for: Determine the corresponding relationship between the sag of the main cable in the sling section and the sag of the main cable in the entire main span according to the second formula, and the second formula is: , Among them, is the sag of the main cable within the sling section, is the sag of the main cable within the entire main span.

6. The conversion device for the main span and suspended span rise-span ratios of the cable-stayed and suspended cable collaborative system bridge as claimed in claim 5, wherein The conversion relationship determination module is further used for: Determine the conversion relationship according to the third formula, and the third formula is: , Among them, is the suspension span rise-to-span ratio, is the main span rise-to-span ratio.

7. A device, characterized in that, The device includes: at least one processor; and a memory coupled to the at least one processor, the memory containing instructions stored therein, the instructions being loaded and executed by the processor to implement the method according to any one of claims 1-3.

8. A computer-readable storage medium, characterized in that, A computer program is stored on the computer-readable storage medium, wherein when the computer program is executed by the processor, the steps of the conversion method according to any one of claims 1 to 3 are implemented.

Citation Information

Patent Citations

  • A method for constructing a main cable line shape of a three-tower suspension bridge with unequal main spans

    CN109815588A

  • Arch structure sliding rail side inclination sliding construction method and device

    CN111424991A