Method for determining key design parameters of cable-stayed and suspension cable cooperative system bridge and bridge structure
By pre-setting a set of core bridge parameters and fitting a quadratic function, the optimal design parameters for a cable-stayed suspension bridge system can be quickly determined, solving the problems of long design cycles and low efficiency, and achieving efficient determination of design parameters.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- CHINA RAILWAY MAJOR BRIDGE RECONNAISSANCE & DESIGN INSTITUTE CO LTD
- Filing Date
- 2025-12-10
- Publication Date
- 2026-04-21
AI Technical Summary
In existing technologies, the determination of design parameters for cable-stayed bridge systems relies on the experience of designers, resulting in long design cycles, low efficiency, and a huge amount of computational work required for each parameter adjustment, making it difficult to quickly find the optimal parameters.
By pre-setting the core parameter set of the bridge, and using finite element modeling and quadratic function fitting, the optimal span-to-span ratio, rise-to-span ratio, and intersection parameters can be quickly determined, reducing the number of calculations and improving design efficiency.
It enables the rapid determination of key design parameters for cable-stayed bridge systems with a small number of calculations, thereby improving design efficiency and reducing design costs.
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Figure CN121902245A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of bridge engineering, specifically to a method for determining key design parameters of cable-stayed suspension bridges and the bridge structure thereof. Background Technology
[0002] The cable-stayed suspension bridge is a new type of structural system that integrates the advantages of both cable-stayed and suspension bridges. When designing a cable-stayed suspension bridge, three core design parameters are crucial for the overall layout: the span-to-span ratio, the rise-to-span ratio, and the length of the intersection zone.
[0003] In related technologies, optimal design parameters are obtained through trial and error. The specific process is as follows: Designers first select a preliminary set of parameter values (including core parameters) based on experience. Based on this, they establish a complete finite element model of the bridge and perform structural calculations and component design, thereby estimating the total project volume and cost. Subsequently, through manual judgment, one or more parameters are fine-tuned (e.g., adjusting the span ratio from 0.5 to 0.55). Then, the entire modeling, calculation, and cost analysis process must be repeated. This process requires multiple calculation and adjustment tasks until a solution is found that is considered "acceptable" in terms of both load-bearing performance and cost.
[0004] However, this trial-and-error method relies heavily on the personal experience of designers, and each parameter adjustment involves a huge amount of computation, resulting in long design cycles and low efficiency. Therefore, how to determine the optimal values of core parameters with fewer calculations to improve the design efficiency of cable-stayed bridge systems and thus reduce the design and manufacturing costs of bridges is a technical problem that urgently needs to be solved by those skilled in the art. Summary of the Invention
[0005] This application provides a method for determining key design parameters of a cable-stayed suspension bridge system. This method can quickly determine the core parameters of a cable-stayed suspension bridge system by a limited number of calculations, thereby significantly improving the overall bridge design efficiency and reducing the bridge design and manufacturing costs.
[0006] In a first aspect, embodiments of this application provide a method for determining key design parameters of a cable-stayed suspension bridge system, the method comprising: The core parameter set for the bridge design is preset based on the main span parameters of the bridge; the core parameter set includes initial suspension-to-span ratio parameters, initial rise-to-span ratio parameters, and initial intersection zone parameters; Obtaining the target span ratio parameter based on the core parameter set; obtaining the target span ratio parameter based on the core parameter set includes: constructing multiple first design parameter sets based on the core parameter data to obtain a corresponding number of first target values, and calculating the target span ratio parameter based on the first target values and the core parameter sets using a preset formula; Based on the target span-to-span ratio parameter, the initial span-to-span ratio parameter of the core parameter set, and the initial intersection zone parameter, the target span-to-span ratio parameter is calculated and obtained; The initial intersection parameters are preset, and the target intersection parameters are obtained based on the target span ratio parameters and the target sag-span ratio parameters.
[0007] In conjunction with the first aspect, in one implementation, the core parameter set for bridge design, preset based on the main span parameters of the bridge, includes: The range of values for the suspension-to-span ratio and the rise-to-span ratio of the bridge are determined based on the main span parameters.
[0008] In conjunction with the first aspect, in one implementation, based on the core parameter data, multiple first design parameter sets are constructed to obtain a corresponding number of first target values. The target span-to-length ratio parameter is calculated using a preset formula based on the first target values and the core parameter sets, including: The first sag-span ratio parameter is determined based on the range of the sag-span ratio, and the initial cross-region parameter is set to 0. Based on the range of values for the span ratio, N span ratio parameters are determined, and N is greater than or equal to 3; Based on the first span-to-span ratio parameter, each of the selected suspension-to-span ratio parameters is combined to form a first set of design parameters for the corresponding number of bridges; Based on the first design parameter set for each of the bridges, obtain a corresponding number of first target values; Based on the corresponding number of the first target values and the N span ratio parameters of the core parameter set, the target span ratio parameters are calculated by fitting a first quadratic function.
[0009] In conjunction with the first aspect, in one implementation, obtaining a corresponding number of first target values based on the first set of design parameters for each of the bridges includes: Based on the preset bridge structure design criteria, finite element modeling analysis is performed on the first design parameter set of each bridge to determine the first engineering quantity parameters corresponding to each component in the first design parameter set of each bridge. The first target value is calculated based on the first engineering quantity parameter of each of the bridges.
[0010] In conjunction with the first aspect, in one implementation, the target span ratio parameters are calculated by fitting a first quadratic function based on the corresponding number of the first target values and the N span ratio parameters of the core parameter set, including: The target span ratio parameter is obtained by calculating using formula (1), which includes: Formula (1) Wherein, η is the target span ratio parameter; A1, A2 and A3 are the first target values of the corresponding quantities; η1, η2 and η3 are the three selected span ratio parameters.
[0011] In conjunction with the first aspect, in one implementation, calculating the target span-to-span ratio parameter based on the target span-to-span ratio parameter, the initial span-to-span ratio parameter of the core parameter set, and the initial intersection zone parameter includes: The initial cross-region parameter is set to 0, and N sag-span ratio parameters are determined according to the range of the sag-span ratio, where N is greater than or equal to 3; Based on the target span-to-span ratio parameter, each of the predetermined rise-to-span ratio parameters is combined to form a corresponding number of second design parameter sets for the bridge; Based on the second design parameter set for each of the bridges, obtain a corresponding number of second target values; Based on the corresponding number of the second target values and the N span ratio parameters of the second core parameter set, the target span ratio parameters are calculated by fitting a second quadratic function.
[0012] In conjunction with the first aspect, in one implementation, obtaining a corresponding number of second target values based on the second design parameter set for each of the bridges includes: Based on the preset bridge structure design criteria, finite element modeling analysis is performed on the second design parameter set of each bridge to determine the second engineering quantity parameters corresponding to each component in the second design parameter set of each bridge. The corresponding number of second target values are calculated based on the second engineering quantity parameters of each of the bridges.
[0013] In conjunction with the first aspect, in one implementation, the step of calculating the target span ratio parameter by fitting a second quadratic function based on the corresponding number of second target values and the N span ratio parameters of the second core parameter set includes: The target span-to-span ratio parameter is obtained by calculating using formula (2), which includes: Formula (2) in, is the target vector span ratio parameter; B1, B2, and B3 are the corresponding number of second target values; 1. 2. 3 represents the three selected span-to-span ratio parameters.
[0014] In conjunction with the first aspect, in one implementation, presetting the initial intersection parameters and obtaining the target intersection parameters based on the target span-to-span ratio parameters and the target sag-to-span ratio parameters includes: The initial cross zone parameters are preset based on the core parameter set; the initial cross zone parameters include the number of crosses between the stay cables and the suspension cables; Based on the number of intersections between the stay cables and the suspension cables, a third set of design parameters for the bridge is formed by combining the target span-to-span ratio parameter and the target sag-to-span ratio parameter. Finite element modeling analysis is then performed on each set of the third design parameters to obtain the design parameters for the target components and thus obtain the corresponding number of design parameters. Based on the preset bridge structure design criteria, each design parameter of the target component is compared with the preset standard of the bridge structure design criteria to determine the target intersection parameters.
[0015] In conjunction with the first aspect, in one implementation, obtaining the design parameters of the target component includes: Calculate the fatigue stress amplitude parameters of the end suspenders of the bridge, and the position parameters of the closure joint of the main girder of the bridge.
[0016] Secondly, this application provides a bridge structure designed using a method for determining key design parameters of a cable-stayed suspension bridge system.
[0017] The beneficial effects of the technical solutions provided in this application include: The method for determining key design parameters of a cable-stayed bridge in this application involves pre-setting a core parameter set for bridge design based on the main span parameters. First, the target span-to-span ratio parameter, i.e., the optimal span-to-span ratio parameter, is obtained based on this core parameter set. Then, using the target span-to-span ratio parameter as a basis, and combining it with the core parameter set, the target rise-to-span ratio parameter, i.e., the optimal rise-to-span ratio, is quickly determined. Finally, the target intersection parameters are obtained using the determined target span-to-span ratio parameter and the target rise-to-span ratio parameter. This method solves the technical problems in related technologies where multiple adjustments to the span-to-span ratio, rise-to-span ratio, and intersection parameters are required after selecting them empirically for trial calculations, resulting in low calculation efficiency and difficulty in quickly finding the optimal target parameters. Attached Figure Description
[0018] To more clearly illustrate the technical solutions in the embodiments of this application, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0019] Figure 1 This is a flowchart illustrating a method for determining key design parameters of a cable-stayed suspension bridge according to this embodiment. Figure 2 A calculation diagram of a cable-stayed suspension bridge system; Figure 3 A calculation diagram for a cable-stayed suspension bridge with one cross cable; Figure 4 A calculation diagram for a cable-stayed bridge with two intersecting cables. Detailed Implementation
[0020] 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.
[0021] The embodiments of this application provide a method for determining key design parameters of cable-stayed bridge systems, which solves the technical problems in related technologies that require selecting the span ratio, rise-span ratio and intersection zone parameters based on experience and then making multiple adjustments to these parameters for trial calculations, resulting in low trial calculation efficiency and difficulty in quickly finding the optimal target parameters.
[0022] Please refer to Figure 1 The determination method includes the following steps: S1. Based on the main span parameters of the bridge, a core parameter set for bridge design is pre-set; the core parameter set includes initial suspension-to-span ratio parameters, initial rise-to-span ratio parameters, and initial intersection parameters; For step S1, the main span parameters of the bridge are determined based on navigation conditions and geological conditions. After the main span parameters are determined, the initial span-to-span ratio parameter ranges from [η]. min η max The range of values for the initial span-to-span ratio parameter [ξ] min ξ maxTherefore, in step S11, the range of values for the bridge's span-to-span ratio and rise-to-span ratio is determined based on the bridge's construction conditions (including geographical environment and navigation restrictions) and basic bridge parameters, including the main span parameters. The geographical environment needs to be determined based on the actual conditions of the bridge construction, such as: 1) Are there aviation height restrictions? This limits the height of the bridge towers; 2) What is the area of the water body? The area of the water body also affects the selection of the span-to-span ratio; 3) The magnitude of the load, etc. All of these factors indirectly affect the determination of the parameters.
[0023] S2. Obtain the target span-to-span ratio parameter based on the core parameter set; specifically, this is achieved through step S21. S21. Determine the first span-to-span ratio parameter based on the range of the span-to-span ratio, that is, determine a fixed value within the range of the span-to-span ratio, and simultaneously, set the initial intersection parameter to 0; then, determine N span-to-span ratio parameters based on the range of the span-to-span ratio, and N is greater than or equal to 3. In this embodiment, the three values η1, η2, and η3 are used; the first span-to-span ratio parameter is combined with each determined span-to-span ratio parameter to form the first design parameter set of the corresponding number of bridges, that is, three first design parameter sets (three bridge design schemes) are formed based on the three span-to-span ratio parameters; then, based on the first design parameter set of each bridge, obtain the corresponding number of first target values, that is, the three first target values A1, A2, and A3 corresponding to the above three schemes. The first target value is the engineering cost corresponding to the engineering quantity of each component in the bridge design scheme constituted by each set of first design parameters; based on the corresponding number of first target values (engineering costs) and the N span ratio parameters of the core parameter set, the target span ratio parameter is calculated through a first quadratic function fitting. If η is less than η min The optimal span ratio is η. min If η is greater than η max The optimal span ratio is η. max If η is greater than η min And less than η max Then the optimal span ratio is η.
[0024] Furthermore, regarding the determination of the first design parameter set for each bridge, this embodiment proposes an implementation method, including: based on preset bridge structural design criteria, performing finite element modeling analysis on the first design parameter set for each bridge to determine the first engineering quantity parameters corresponding to each component in the first design parameter set for each bridge; specifically, designing the main cable, stay cables, suspenders, main beams, bridge towers, and substructure of the bridge according to specifications, and extracting the first engineering quantity corresponding to each component, wherein the principles for selecting the values of each parameter are as follows: Please refer to... Figures 2-3The side span lengths of the main cable are L1 and L2, and it is generally necessary to ensure that the angles between the main cable in the side spans and the main cable in the middle span and the horizontal line are approximately the same. The anchorage locations are determined based on the anchorage positions, which in turn are determined based on the terrain conditions. The tower heights are H1 and H2, determined based on the tower top elevation and the tower foundation design. The tower foundation design is determined based on geological conditions, and the tower top elevation is determined based on the longitudinal profile of the line and the sag f of the main cable. Generally, the minimum flexible section length of the suspension cable should be no less than 3m. The side span lengths of the main girder are L... s1 and L s2 The length of the stay cables is generally determined based on the terrain of the bridge site. Under normal circumstances, it can be determined according to the principle of symmetrical arrangement of the stay cables in the side spans and mid-spans, that is, approximately L. s1 =L s2 ≈L C Finally, based on the initial engineering quantity parameters of each bridge, the corresponding target values were obtained through finite element model analysis and calculation.
[0025] Furthermore, regarding step S21, where the target span ratio parameter is calculated by fitting a first quadratic function based on the corresponding number of first target values and N span ratio parameters of the core parameter set, this embodiment uses three first target values and three span ratio parameters of the first core parameter set to construct a first quadratic function for fitting calculation, i.e., step S211. The target span ratio parameter, i.e., the optimal span ratio, is obtained by calculating using Formula 1. Formula 1 includes: Formula 1 Wherein, η is the target span ratio parameter; A1, A2 and A3 are the first target values of the corresponding quantities; η1, η2 and η3 are the three selected span ratio parameters.
[0026] Regarding the determination of the target span-to-span ratio, i.e. the optimal span-to-span ratio, this embodiment achieves this through the following steps: S3. Calculate and obtain the target span-to-span ratio parameters based on the target span-to-span ratio parameters and the initial span-to-span ratio parameters and initial intersection zone parameters of the core parameter set; Further, in step S31, the initial cross-section parameter is set to 0, and N sag-span ratio parameters are determined according to the range of sag-span ratio values, where N is greater than or equal to 3. In this embodiment, N is set to... 1. 2. 3. Three values are used; based on the target span-to-span ratio parameter, each is combined with a predetermined rise-to-span ratio parameter to form a corresponding number of bridge second design parameter sets, that is, three second design parameter sets (three bridge design schemes) are constructed based on the three rise-to-span ratio parameters; based on the second design parameter set of each bridge, a corresponding number of second target values are obtained, that is, the three second target values B1, B2, and B3 corresponding to the above three schemes. This second target value is the engineering cost corresponding to the engineering quantity of each component in the bridge design scheme constituted by each set of second design parameter parameters; based on the corresponding number of second target values and the three rise-to-span ratio parameters of the second core parameter set, the target rise-to-span ratio parameter is obtained by fitting a second quadratic function.
[0027] Therefore, for the second target value, based on the preset bridge structure design criteria, finite element modeling analysis is performed on the second design parameter set of each bridge to determine the second engineering quantity parameters corresponding to each component in the second design parameter set of each bridge; the second design parameter set also includes the component parameters presented by the above-mentioned determination method of the first design parameter set of each bridge, which will not be repeated here. The corresponding number of second target values are calculated based on the second engineering quantity parameters of each bridge, that is, the second engineering cost is determined based on the second engineering quantity parameters of each bridge.
[0028] Then, based on the determined second target value and the three span ratio parameters of the second core parameter set, the target span ratio parameters are calculated through a second quadratic function fitting, i.e., step S311. The target span ratio parameters are obtained by calculating using formula 2, which includes: Formula (2) in, is the target vector span ratio parameter; B1, B2, and B3 are the corresponding number of second target values; 1. 2. 3 represents the three selected span-to-span ratio parameters.
[0029] S4. Preset the initial cross zone parameters, and obtain the target cross zone parameters based on the target span ratio parameters and the target sag-span ratio parameters.
[0030] Specifically, step S4 further includes step S41. Preset initial cross-section parameters based on the core parameter set, which are the cross-section parameters of the stay cables and suspension cables, specifically the cross-section number parameters; based on the cross-section number parameters, combine them with the target suspension span ratio parameters and the target sag-span ratio parameters to form the third design parameter set of the bridge, and perform finite element modeling analysis to obtain the design parameters of the target component; based on the preset bridge structure design criteria, compare whether the design parameters of the target component meet the preset conditions of the bridge structure design criteria. If they do, then X is the target cross-section parameter.
[0031] Furthermore, obtaining the design parameters of the target components includes calculating the fatigue stress amplitude parameters of the bridge's end suspenders and the closure position parameters of the bridge's main beam.
[0032] For S4, this embodiment proposes an implementation method: S41. Based on the target suspension ratio η and the target span-to-span ratio ξ, and setting one cross cable in the intersection area, establish a finite element model and perform calculations. S42. Calculate the fatigue stress amplitude of the end suspension cable according to the published technology; calculate the closure position of the main beam according to the published technology. S43. Finally, determine whether the fatigue stress amplitude of the end suspension cable meets the specification requirements, and determine whether the closure position of the main beam is located in the intersection area. If the fatigue stress amplitude of the end suspension cable meets the specification requirements and the closure position of the main beam is located in the intersection area, then the intersection area setting is appropriate, the calculation is terminated, and the length of the intersection area at this time is taken as the optimal intersection area length; otherwise, add a cross cable, and take the optimal suspension ratio η and the optimal span-to-span ratio ξ, establish a finite element model, perform calculations, and enter S42~S43 until the termination condition is met, and take the length of the intersection area at this time as the optimal intersection area length.
[0033] Example 2: Please see Figure 2-4 As shown, the following explanation will be based on a steel truss cable-stayed-suspension bridge with a main span of 988m.
[0034] This invention uses economic efficiency to determine the optimal span-to-span ratio and rise-to-span ratio; and uses construction feasibility to determine the optimal intersection length.
[0035] The specific steps for determining the optimal span ratio are as follows: Step C1: Determine the main span L of the bridge based on navigation and geological conditions; specifically in this embodiment, L=988m.
[0036] Step C2: Determine the range of values for the span ratio (Ls / L) and the rise-span ratio (f / L). According to publicly available technology, the typical range for the span ratio is 0.3 to 0.7, and the typical range for the rise-span ratio is 0.1 to 0.2.
[0037] However, in this embodiment, due to the heavy live load, a larger sag-to-span ratio would cause issues with the anti-slip properties of the cable clamps corresponding to the end slings. Therefore, the maximum sag-to-span ratio can only be 0.153. Thus, in this embodiment, the sag-to-span ratio ranges from 0.1 to 0.153. Step C3: Take a span-to-span ratio of 0.15 and an intersection length of 0. Take three different span-to-span ratios, 0.3, 0.5, and 0.7, and arrange three bridge schemes.
[0038] The principles for selecting the values of each parameter are as follows: The side spans of the main cable are L1 and L2, and it is generally necessary to ensure that the angles between the side span main cable and the middle span main cable and the horizontal line are approximately the same. The anchor points are set according to the location of the anchorages, and the anchorages are set according to the terrain conditions. Specifically, in this embodiment, L1=L2=311.5m.
[0039] The bridge towers have heights of H1 and H2, determined by the tower top elevation and foundation design. The foundation design is based on geological conditions, while the tower top elevation is determined by the longitudinal profile of the railway line and the sag f of the main cable. Generally, the minimum flexible section length of the suspension cable should be no less than 3m. In this embodiment, H1 = 230m and H2 = 224m. The side span lengths of the main beam are Ls1 and Ls2, which are generally determined based on the terrain of the bridge site. Under normal circumstances, they can be determined according to the principle of symmetrical arrangement of the side and middle span stay cables, that is, approximately Ls1=Ls2≈LC.
[0040] Step C4: Establish finite element models for the three schemes and perform calculations. Design the main cable, stay cables, suspenders, main beam, bridge towers and substructure of the bridge according to the specifications and extract the engineering quantity corresponding to each component.
[0041] Step C5: Calculate the engineering cost corresponding to each scheme based on the engineering quantities provided in C4. The engineering costs corresponding to the schemes with span ratios of 0.3, 0.5, and 0.7 are A1, A2, and A3, respectively.
[0042] Step C6: Calculate the optimal span ratio η.
[0043] The above calculations assume that the project cost and the span ratio are related as a quadratic function. This relationship is explained below: For a cable-stayed suspension bridge system, its main structural components include: main cable, stay cables, suspenders, bridge towers, main girder, anchorages, and substructure. The horizontal cable force of the main cable and the span ratio have a quadratic function relationship; the bridge tower height and the span ratio are not directly related; the main girder length and the span ratio are approximately a linear function relationship; the number of stay cable pairs and the span ratio are linear functions; the size of the anchorages is approximately a linear function of the main cable force. Therefore, the main components and the span ratio are all linear or quadratic functions. Thus, it can be determined that, with other parameters remaining constant, the overall engineering cost of the cable-stayed suspension bridge system should have a quadratic function relationship with the span ratio. Based on these parameters, η = 0.475 can be calculated. The process for determining the optimal span-to-span ratio is as follows: Step D1: Based on the above steps, determine the span-to-span ratio as η, and select three span-to-span ratios: 0.1, 0.12, and 0.153, to arrange three bridge schemes. The length of the intersection area is 0.
[0044] Step D2: Establish finite element models for the three schemes and perform calculations. Design the main cable, stay cables, suspenders, main beam, bridge towers and substructure of the bridge according to the specifications and extract the engineering quantity corresponding to each component.
[0045] Step D3: Calculate the engineering cost corresponding to each scheme based on the engineering quantities provided in S2. The engineering costs corresponding to the schemes with span-to-span ratios of 0.1, 0.12, and 0.153 are B1, B2, and B3, respectively.
[0046] Step D4: Calculate the optimal span-to-span ratio ξ.
[0047] The above calculations assume that the engineering cost and the span-to-span ratio are quadratic functions. This relationship is explained below: For a cable-stayed suspension bridge system, its main structural components include: main cable, stay cables, suspenders, towers, main girder, anchorages, and substructure. The horizontal cable force of the main cable and the rise-to-span ratio are linear functions; the tower height and the rise-to-span ratio are also linear functions; the main girder length and the suspender span ratio are not directly related; the number of stay cable pairs and the rise-to-span ratio are not directly related; the size of the anchorages is roughly a linear function of the main cable force. Therefore, the main components and their rise-to-span ratios are all linear or quadratic functions. Thus, it can be determined that, with other parameters remaining constant, the overall construction cost of the cable-stayed suspension bridge system should be a quadratic function of the suspender span ratio. Based on these parameters, ξ = 0.153 can be calculated.
[0048] The optimal cross section length Lcs is determined as follows: Step E1: Take the optimal sag ratio η and the optimal span ratio ξ determined in the aforementioned steps, set one cross cable in the intersection area, establish a finite element model, and perform calculations.
[0049] Step E2: Calculate the fatigue stress amplitude of the end suspenders according to the published technology; calculate the closure position of the main beam according to the published technology.
[0050] Step E3: Determine whether the fatigue stress amplitude of the end suspender cable meets the specification requirements, and determine whether the closure joint of the main beam is located in the intersection zone. If the fatigue stress amplitude of the end suspender cable meets the specification requirements and the closure joint of the main beam is located in the intersection zone, then the intersection zone setting is appropriate, the calculation is terminated, and the intersection zone length at this time is taken as the optimal intersection zone length; otherwise, add a cross cable, and take the optimal suspender ratio η and the optimal sag-to-span ratio ξ, establish a finite element model, perform calculations, and enter S2~S3 until the termination calculation condition is met, and take the intersection zone length at this time as the optimal intersection zone length.
[0051] Based on the above calculations, the minimum number of intersecting cable pairs is 6, and the minimum length of the intersection zone is 144m.
[0052] Example 3: This embodiment three provides a bridge structure that utilizes a method for determining key design parameters of a cable-stayed suspension bridge system. This solves the technical problems in related technologies where multiple adjustments to the above parameters are required after selecting the span-to-span ratio, rise-to-span ratio, and cross-zone parameters based on experience for trial calculations, resulting in low calculation efficiency and difficulty in quickly finding the optimal target parameters.
[0053] In the description of this application, it should be noted that the terms "upper," "lower," etc., indicating the orientation or positional relationship are based on the orientation or positional relationship shown in the accompanying drawings, and are only for the convenience of describing this application and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of this application. Unless otherwise expressly specified and limited, the terms "installed," "connected," and "linked" should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral connection; they can refer to a mechanical connection or an electrical connection; they can refer to a direct connection or an indirect connection through an intermediate medium; they can refer to the internal communication between two elements. For those skilled in the art, the specific meaning of the above terms in this application can be understood according to the specific circumstances.
[0054] It should be noted that in this application, relational terms such as "first" and "second" are used merely to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.
[0055] The above description is merely a specific embodiment of this application, enabling those skilled in the art to understand or implement this application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of this application. Therefore, this application is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features claimed herein.
Claims
1. A method for determining key design parameters of a cable-stayed suspension bridge system, characterized in that, The determination method includes: The core parameter set for the bridge design is preset based on the main span parameters of the bridge; the core parameter set includes initial suspension-to-span ratio parameters, initial rise-to-span ratio parameters, and initial intersection zone parameters; Obtaining the target span ratio parameter based on the core parameter set; obtaining the target span ratio parameter based on the core parameter set includes: constructing multiple first design parameter sets based on the core parameter data to obtain a corresponding number of first target values, and calculating the target span ratio parameter based on the first target values and the core parameter sets using a preset formula; Based on the target span-to-span ratio parameter, the initial span-to-span ratio parameter of the core parameter set, and the initial intersection zone parameter, the target span-to-span ratio parameter is calculated and obtained; The initial intersection parameters are preset, and the target intersection parameters are obtained based on the target span ratio parameters and the target sag-span ratio parameters.
2. The method for determining key design parameters of a cable-stayed suspension bridge according to claim 1, characterized in that, Based on the main span parameters of the bridge, the core parameter set for the bridge design is preset to include: Determine the range of values for the suspension-to-span ratio and the rise-to-span ratio of the bridge.
3. The method for determining key design parameters of a cable-stayed suspension bridge according to claim 2, characterized in that, Based on the core parameter data, multiple first design parameter sets are constructed to obtain a corresponding number of first target values. The target span ratio parameters are calculated using a preset formula based on the first target values and the core parameter sets, including: The first sag-span ratio parameter is determined based on the range of the sag-span ratio, and the initial cross-region parameter is set to 0. Based on the range of values for the span ratio, N span ratio parameters are determined, and N is greater than or equal to 3; Based on the first span-to-span ratio parameter, each of the selected suspension-to-span ratio parameters is combined to form a first set of design parameters for the corresponding number of bridges; Based on the first design parameter set for each of the bridges, obtain a corresponding number of first target values; Based on the corresponding number of the first target values and the N span ratio parameters of the core parameter set, the target span ratio parameters are calculated by fitting a first quadratic function.
4. The method for determining key design parameters of a cable-stayed suspension bridge according to claim 3, characterized in that, Based on the first design parameter set for each of the bridges, obtaining a corresponding number of first target values includes: Based on the preset bridge structure design criteria, finite element modeling analysis is performed on the first design parameter set of each bridge to determine the first engineering quantity parameters corresponding to each component in the first design parameter set of each bridge. The first target value is calculated based on the first engineering quantity parameter of each of the bridges.
5. The method for determining key design parameters of a cable-stayed suspension bridge according to claim 4, characterized in that, Based on the corresponding number of the first target values and the N span ratio parameters of the core parameter set, the target span ratio parameters are calculated through a first quadratic function fitting, including: The target span ratio parameter is obtained by calculating using formula (1), which includes: Official (1) Wherein, η is the target span ratio parameter; A1, A2 and A3 are the first target values of the corresponding quantities; η1, η2 and η3 are the three selected span ratio parameters.
6. The method for determining key design parameters of a cable-stayed suspension bridge according to claim 2, characterized in that, Based on the target span-to-span ratio parameter, the initial span-to-span ratio parameter of the core parameter set, and the initial intersection zone parameter, the target span-to-span ratio parameter is calculated and obtained as follows: The initial cross-region parameter is set to 0, and N sag-span ratio parameters are determined according to the range of the sag-span ratio, where N is greater than or equal to 3; Based on the target span-to-span ratio parameter, each of the predetermined rise-to-span ratio parameters is combined to form a corresponding number of second design parameter sets for the bridge; Based on the second design parameter set for each of the bridges, obtain a corresponding number of second target values; Based on the corresponding number of the second target values and the N span ratio parameters of the second core parameter set, the target span ratio parameters are calculated by fitting a second quadratic function.
7. The method for determining key design parameters of a cable-stayed suspension bridge according to claim 6, characterized in that, The step of obtaining a corresponding number of second target values based on the second design parameter set for each of the bridges includes: Based on the preset bridge structure design criteria, finite element modeling analysis is performed on the second design parameter set of each bridge to determine the second engineering quantity parameters corresponding to each component in the second design parameter set of each bridge. The corresponding number of second target values are calculated based on the second engineering quantity parameters of each of the bridges.
8. The method for determining key design parameters of a cable-stayed suspension bridge according to claim 7, characterized in that, The target span ratio parameters are obtained by fitting a second quadratic function based on the corresponding number of the second target values and the N span ratio parameters of the second core parameter set. The target span-to-span ratio parameter is obtained by calculating using formula (2), which includes: Official (2) in, is the target span ratio parameter; B1, B2, and B3 are the corresponding number of second target values; 1.
2. 3 represents the three selected span ratio parameters.
9. The method for determining key design parameters of a cable-stayed suspension bridge according to claim 1, characterized in that, Presetting the initial intersection parameters and obtaining the target intersection parameters based on the target span-to-span ratio and the target sag-to-span ratio parameters includes: The initial cross zone parameters are preset based on the core parameter set; the initial cross zone parameters include the number of crosses between the stay cables and the suspension cables; Based on the number of intersections between the stay cables and the suspension cables, a third set of design parameters for the bridge is formed by combining the target span-to-span ratio parameter and the target sag-to-span ratio parameter. Finite element modeling analysis is then performed on each set of the third design parameters to obtain the design parameters for the target components and thus obtain the corresponding number of design parameters. Based on the preset bridge structure design criteria, each design parameter of the target component is compared with the preset standard of the bridge structure design criteria to determine the target intersection parameters.
10. A bridge structure, characterized in that, The design is carried out using the method for determining key design parameters of a cable-stayed suspension system bridge as described in any one of claims 1-9.