Hybrid girder bridge steel segment length optimization method and system based on construction duration coupling

Abstract

The invention discloses a hybrid girder bridge steel segment length optimization method and system based on construction duration coupling, and aims to solve the problems of insufficient matching between steel segment length design and construction period and poor mechanical property optimization in the prior art. The method comprises the steps of obtaining design parameters; an integral equivalent method is adopted to enable the mixed beam bridge to be equivalent to a full-concrete beam bridge, and the equivalent side-mid span ratio and the main span length are determined; establishing a linear relation between the side-mid span ratio and the steel beam proportion based on a construction period matching principle; the proportion of the steel beams and the length of the steel segments are optimized by combining mechanical equilibrium conditions; a dynamic balance method is adopted in the construction process to ensure bending moment balance. The system comprises a parameter input module, an equivalent calculation module, a construction period calculation module, an optimization module, a dynamic balance module, an output module and a verification module. Compared with the prior art, through construction period matching and mechanical optimization, the construction efficiency, the structural adaptability and the economical efficiency are improved, and the method is particularly suitable for the complex terrain condition with the ultra-small side-mid-span ratio.

Description

Technical Field

[0001] The present invention belongs to the technical field of bridge engineering, and particularly relates to a method and system for optimizing the length of steel segments of a hybrid girder bridge based on the coupling of construction duration. Background Art

[0002] As a common bridge structure form, the hybrid girder bridge combines the economy of concrete girders and the long-span advantage of steel girders, and has been widely used in bridge engineering. Especially in areas with complex terrain and large span requirements, the hybrid girder bridge can meet the dual requirements of spanning ability and structural stability through reasonable design. However, in actual engineering, the design and construction of hybrid girder bridges still face many challenges. Especially in the special case where the ratio of side span to main span is relatively small (for example, less than 0.3), traditional design methods often have difficulty in coordinating construction efficiency and structural mechanical properties. Existing technologies mostly target conventional hybrid girder bridges with a side span to main span ratio between 0.4 and 0.5, and adopt construction methods such as fixed segment division or integral span steel girder hoisting. However, these methods are ineffective under the condition of an ultra-small side span to main span ratio. Integral span hoisting not only has great construction difficulty and high cost, but may also be unable to be implemented due to equipment limitations.

[0003] In addition, the matching problem of construction period has received insufficient attention in existing research. Usually, the cantilever casting construction of concrete girders and the cantilever erection construction of steel girders lack systematic coordination in time arrangement, resulting in phenomena such as work stoppage waiting for materials or resource waste during the construction process. Especially in complex environments, the determination of the length of steel segments often only relies on experience or static mechanical analysis, and fails to fully consider the dynamic changes during the construction process and the coupling effect of construction duration. This disconnection between design and construction not only prolongs the construction period, but also increases the project cost and potential safety hazards. Therefore, there is an urgent need for a new optimization method that can scientifically determine the length of steel segments and achieve efficient matching of construction duration on the premise of ensuring the mechanical properties of the bridge to meet diverse engineering requirements. Summary of the Invention

[0004] The present application provides a method and system for optimizing the length of steel segments of a hybrid girder bridge based on the coupling of construction duration, aiming to solve the problems in the prior art such as insufficient matching between the design of the length of steel segments and the construction period and poor optimization of mechanical properties.

[0005] To achieve the above object, the technical solution of the present invention is as follows:

[0006] In the first aspect, the present invention provides a method for optimizing the length of steel segments of a hybrid girder bridge based on the coupling of construction duration, and the method includes the following steps:

[0007] a) Obtain the design parameters of the hybrid girder bridge, and the design parameters include the side span length l side and the main span length l mid, the length ratio η of the steel beam to the main span, the length l of the concrete beam segment c , the length l of the steel beam segment s , the construction time t of the concrete beam c , the construction time t of the steel beam s , the length l0 of the 0# block of the main pier, and the beam height change parameter;

[0008] b) Define the hybrid girder bridge as System 1 and the all-concrete girder bridge as System 2. Using the overall equivalent method, equivalent the hybrid girder bridge to an all-concrete girder bridge, and determine the side-to-middle span ratio λ' and the main span length l' of System 2 through the bending moment equivalence principle M1 = M2 mid , where M1 is the bending moment of System 1 at the pier, and M2 is the bending moment of System 2 at the pier;

[0009] c) Based on the construction methods of casting-in-place of the concrete beam and cantilever erection of the steel beam, set the segment lengths of the concrete beam and the steel beam, calculate their respective construction periods, and establish a linear relationship between the side-to-middle span ratio λ and the steel beam ratio η according to the construction period matching principle;

[0010] d) Combining the mechanical equilibrium conditions, optimize the steel beam ratio η and the steel segment length l by adjusting the side span counterweight value γ s , and the counterweight value γ is the unit weight ratio of the side span to the box girder with the same height as the main span;

[0011] e) During the construction process, use the dynamic balance method to calculate and adjust the steel segment length in segments to ensure the bending moment balance in each construction stage.

[0012] Furthermore, in step b), the calculation formulas for the bending moments M1 and M2 are respectively:

[0013]

[0014] where q c (x) is the load intensity of the concrete beam of System 1, q s (x) is the load intensity of the steel beam of System 1, and q2(x) is the load intensity of System 2.

[0015] Furthermore, in step c), the construction period matching principle is achieved through the following formula:

[0016]

[0017] Thus, the linear relationship between the side-to-middle span ratio λ and the steel beam ratio η is derived:

[0018]

[0019] where b is a constant.

[0020] Further, in step d), the value range of the ballast weight value γ is 4 to 7.

[0021] Further, in step e), the dynamic balance method ensures the moment balance of each construction stage through the following formula:

[0022] M n,1 = M n,2 n

[0023]

[0024] and makes M n,1 = M n,2 , where M n,1 and M n,2 are the moments of system 1 and system 2 at the nth construction stage, respectively.

[0025] Further, the method further includes estimating the beam heights at the pier and at the mid-span according to the equivalent main span length l' mid in the preliminary design stage, and the specific formula is:

[0026]

[0027] where h pier is the beam height at the pier, and h mid is the mid-span beam height.

[0028] Further, the beam height change parameter includes the quadratic parabola change law of the beam height along the span, which is used to further optimize the matching of the steel segment length and the construction period.

[0029] In the second aspect, the present invention provides a steel segment length optimization system for a hybrid beam bridge based on construction duration coupling, and the system includes:

[0030] A parameter input module for inputting the design parameters of the hybrid beam bridge;

[0031] An equivalent calculation module for performing the overall equivalent method to calculate the equivalent side-to-middle span ratio and the equivalent main span length;

[0032] A construction period calculation module for calculating the construction periods of the concrete beam and the steel beam, and establishing a linear relationship between the side-to-middle span ratio and the steel beam ratio;

[0033] An optimization module for optimizing the steel beam ratio and the steel segment length in combination with the mechanical balance condition;

[0034] A dynamic balance module for calculating and adjusting the steel segment length in sections during the construction process to ensure moment balance;

[0035] An output module for outputting the optimized steel segment length and related design parameters.

[0036] The verification module is used to verify the rationality of the optimization results based on actual engineering data and output adjustment suggestions.

[0037] Furthermore, the optimization module realizes optimization by adjusting the weight value γ, and the value range of the weight value γ is 4 to 7.

[0038] In a third aspect, the present invention provides an electronic device, comprising: a processor and a memory;

[0039] The memory is used to store one or more program instructions;

[0040] The processor is used to run one or more program instructions to execute the steps of the above-mentioned method for optimizing the length of steel segments of hybrid beam bridges based on construction time coupling.

[0041] Compared with the prior art, the present invention has the following advantages:

[0042] The present invention proposes a method and system for optimizing the length of steel segments of hybrid beam bridges based on construction duration coupling. By introducing the overall equivalence method and the construction period matching principle, the present invention can scientifically determine the segment lengths of steel beams and concrete beams during the design phase, so that the construction periods of the two can be coordinated and consistent. This method effectively avoids the phenomenon of work stoppages due to construction period mismatch in traditional construction, thereby greatly improving construction efficiency.

[0043] This invention combines mechanical equilibrium conditions to optimize the steel beam ratio and segment length by adjusting the side span weight, ensuring that the bridge structure maintains force balance during different construction stages. This dynamic balance design not only enhances the bridge's adaptability to complex terrain but also significantly improves safety during construction. Especially in bridges with very long spans or high piers, the optimized steel segment length effectively controls deformation and stress during cantilever construction, ensuring overall structural stability. BRIEF DESCRIPTION OF THE DRAWINGS

[0044] Figure 1 It is a schematic diagram of the overall process of an embodiment of the present invention;

[0045] Figure 2 is a schematic diagram of a bridge body according to an embodiment of the present invention;

[0046] Figure 3 is a structural block diagram of an optimization system according to an embodiment of the present invention;

[0047] Figure 4 It is a schematic diagram of the physical structure of an electronic device provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0048] The present invention will be further described in detail below in conjunction with the accompanying drawings through specific embodiments. Similar elements in different embodiments are labeled with related similar element numbers. In the following embodiments, many detailed descriptions are provided to enable a better understanding of the present application. However, those skilled in the art can easily recognize that some of the features can be omitted in different situations, or can be replaced by other elements, materials, or methods. In some cases, some operations related to the present application are not shown or described in the specification, which is to avoid overwhelming the core part of the present application with excessive descriptions. For those skilled in the art, it is not necessary to describe these related operations in detail, and they can fully understand the related operations based on the descriptions in the specification and the general technical knowledge in the art.

[0049] In addition, the features, operations, or characteristics described in the specification can be combined in any appropriate manner to form various embodiments. At the same time, the steps or actions in the method description can also be reordered or adjusted in a manner obvious to those skilled in the art. Therefore, the various sequences in the specification and drawings are only for clearly describing a certain embodiment and do not mean a necessary sequence, unless it is stated that a certain sequence must be followed.

[0050] The present invention provides a method for optimizing the steel segment length of a hybrid girder bridge based on the coupling of construction duration, see Figure 1 , the method includes the following steps:

[0051] S1. Obtain the design parameters of the hybrid girder bridge, where the design parameters include the side span length l side , the main span length l mid , the length ratio η of the steel girder to the main span, the length l of the concrete beam segment c , the length l of the steel girder segment s , the construction time t of the concrete beam c , the construction time t of the steel girder s , the length l0 of the 0# block of the main pier, and the beam height change parameter; the beam height change parameter includes the quadratic parabola change law of the beam height along the span, which is used to further optimize the matching of the steel segment length and the construction period.

[0052] S2. Define the hybrid girder bridge as System 1, define the all-concrete beam bridge as System 2, and use the overall equivalent method to equivalent the hybrid girder bridge to an all-concrete beam bridge. Determine the side-to-middle span ratio λ' and the main span length l' of System 2 through the bending moment equivalence principle M1 = M2 mid , where M1 is the bending moment of System 1 at the pier, and M2 is the bending moment of System 2 at the pier;

[0053] The calculation formulas for the bending moments M1 and M2 are respectively:

[0054]

[0055] Among them, q c (x) is the load intensity of the concrete beam of System 1, and q s (x) is the load intensity of the steel beam of System 1, and q2(x) is the load intensity of System 2.

[0056] S3. Based on the construction methods of cantilever casting of concrete beams and cantilever erection of steel beams, set the segment lengths of the concrete beams and steel beams, calculate their respective construction periods, and establish a linear relationship between the side-to-middle span ratio λ and the steel beam ratio η according to the construction period matching principle;

[0057] The construction period matching principle is realized through the following formula:

[0058]

[0059] Thus, a linear relationship between the side-to-middle span ratio λ and the steel beam ratio η is derived:

[0060]

[0061] Among them, b is a constant.

[0062] S4. Combining the mechanical equilibrium conditions, optimize the steel beam ratio η and the steel segment length l by adjusting the side span ballast value γ s , and the ballast value γ is the unit weight ratio of the side span to the main span box girder with the same height;

[0063] The value range of the ballast value γ is 4 to 7.

[0064] S5. During the construction process, use the dynamic balance method to calculate and adjust the steel segment length in segments to ensure the bending moment balance in each construction stage.

[0065] The dynamic balance method ensures the bending moment balance in each construction stage through the following formula:

[0066] M n,1 = M n,2 n

[0067]

[0068] And make M n,1 = M n,2 , where M n,1 and M n,2 are the bending moments of System 1 and System 2 in the nth construction stage respectively.

[0069] The method also includes estimating the beam heights at the pier and mid-span according to the equivalent main span length l' mid in the preliminary design stage, and the specific formula is:

[0070]

[0071] Among them, h pier is the beam height at the pier, and h mid is the beam height at the mid-span.

[0072] In the following, taking a certain special large bridge in Guangxi as an example, the method of the present invention will be further described.

[0073] Refer to Figure 2 , this bridge is a hybrid continuous rigid-frame bridge with a span layout of (80 + 380 + 80) meters, and the side-to-middle span ratio The method of the present invention is applied to the optimal design of the steel segment length, taking into account the construction period and mechanical properties. The optimization process is divided into the following steps:

[0074] Collect design parameters: the side span length l side = 80 meters, the main span length l mid = 380 meters, the length of the concrete beam segment l c = 3.6 meters, the initial length of the steel beam segment l s = 7 meters, the construction time t of the concrete beam c = 15 days, the construction time t of the steel beam s = 10 days.

[0075] Adopt the overall equivalent method to equivalent the hybrid beam bridge (System 1) to a full concrete beam bridge (System 2). According to the bending moment equivalence principle M1 = M2 of Claim 1, select the side-to-middle span ratio λ' = 0.55 of System 2. Calculate the main span length of System 2 as:

[0076]

[0077] The actual bending moments M1 and M2 can be further accurately calculated according to the load intensity q c (x), q s (x), q2(x) to verify the equivalence.

[0078] Then, consider the construction period matching. According to the formula:

[0079]

[0080] Thus, the linear relationship between the side-to-middle span ratio λ and the steel beam ratio η is derived:

[0081]

[0082] Substitute the parameters:

[0083]

[0084] Calculate to obtain:

[0085]

[0086] This indicates that the preliminary estimate of the proportion of steel beams is 61.2%.

[0087] During further optimization, the mechanical equilibrium condition is introduced. Adjust the counterweight value γ of the side span to γ = 6 (recommended range 4 to 7), and finally optimize the proportion of steel beams to η = 0.95. At this time, the length of the steel segment is maintained at l s = 7 meters to ensure the rationality of the design.

[0088] Finally, during the construction process, the dynamic balance method is adopted to calculate the bending moment in segments:

[0089]

[0090] By ensuring M n,1 = M n,2 n, adjust the construction parameters in real time to maintain mechanical stability. Finally, the length of the steel segment is optimized to 7 meters, achieving the coordination of the construction period and mechanical properties.

[0091] This embodiment provides a steel segment length optimization system for a hybrid girder bridge based on construction duration coupling. Refer to Figure 3 , the system includes:

[0092] A parameter input module for inputting the design parameters of the hybrid girder bridge;

[0093] An equivalent calculation module for performing the overall equivalent method to calculate the equivalent side-to-middle span ratio and the equivalent main span length;

[0094] A construction period calculation module for calculating the construction periods of the concrete girder and the steel girder and establishing a linear relationship between the side-to-middle span ratio and the proportion of steel beams;

[0095] An optimization module for optimizing the proportion of steel beams and the length of the steel segment in combination with the mechanical equilibrium condition;

[0096] A dynamic balance module for calculating and adjusting the length of the steel segment in segments during the construction process to ensure bending moment balance;

[0097] An output module for outputting the optimized length of the steel segment and related design parameters.

[0098] A verification module for verifying the rationality of the optimization result based on actual project data and outputting adjustment suggestions.

[0099] The optimization module realizes the optimization by adjusting the counterweight value γ, and the value range of the counterweight value γ is 4 to 7.

[0100] In another embodiment, an electronic device is provided, Figure 4Schematic diagram of the physical structure of the electronic device provided by the embodiment of the present invention. The electronic device may include: a processor 301, a communication interface 302, a memory 303, and a bus 304. Among them, the processor 301, the communication interface 302, and the memory 303 complete mutual communication through the bus 304. The processor 301 may call a computer program stored on the memory 303 and executable on the processor 301 to execute a method for optimizing the length of steel segments of a hybrid girder bridge based on the coupling of construction duration provided in the above embodiment.

[0101] In addition, when the logical instructions in the above-mentioned memory 303 are implemented in the form of software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on such an understanding, the technical solution of the embodiment of the present invention, in essence, or the part that contributes to the prior art, or a part of this technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the methods described in various embodiments of the present invention. The foregoing storage medium includes: various media such as USB flash drives, mobile hard disks, read-only memories (ROM, Read-Only Memory), random access memories (RAM, Random Access Memory), magnetic disks, or optical discs that can store program codes.

[0102] In another embodiment, a computer storage medium is provided. The storage medium may be located in any one of the computer terminals in a computer terminal group in a computer network, or in any one of the mobile terminals in a mobile terminal group.

[0103] Optionally, in this embodiment, the storage medium is set to store program codes for executing the steps of a method for optimizing the length of steel segments of a hybrid girder bridge based on the coupling of construction duration.

[0104] Those skilled in the art can understand that all or part of the functions of the various methods in the above embodiments can be implemented by hardware or by computer programs. When all or part of the functions in the above embodiments are implemented by computer programs, the programs can be stored in a computer-readable storage medium, which can include: read-only memory, random access memory, magnetic disks, optical disks, hard disks, etc. The above functions can be realized by executing the programs on a computer. For example, by storing the programs in the memory of a device and executing the programs in the memory by a processor, all or part of the above functions can be realized. In addition, when all or part of the functions in the above embodiments are implemented by computer programs, the programs can also be stored in storage media such as servers, other computers, magnetic disks, optical disks, flash drives or external hard drives, and saved to the memory of a local device by downloading or copying, or the system of the local device can be updated in version. When the programs in the memory are executed by a processor, all or part of the functions in the above embodiments can be realized.

[0105] The above uses specific examples to elaborate on the present invention, which is only for helping to understand the present invention and is not used to limit the present invention. For those skilled in the art of the present invention, according to the idea of the present invention, several simple deductions, deformations or substitutions can also be made.

Claims

1. A method for optimizing the length of steel segments of a hybrid girder bridge based on the coupling of construction duration, characterized in that The method includes the following steps: a) Obtain the design parameters of the hybrid beam bridge, where the design parameters include the side span length l side , the main span length l mid , the length ratio η of the steel beam to the main span, the length l c of the concrete beam segment, the length l s of the steel beam segment, the construction time t c of the concrete beam, the construction time t s of the steel beam, the length l0 of the main pier 0# block, and the beam height variation parameter; b) Define the hybrid girder bridge as System 1 and the all-concrete girder bridge as System 2. Using the overall equivalent method, the hybrid girder bridge is equivalent to the all-concrete girder bridge, and the side-to-main span ratio λ' and the main span length l' of System 2 are determined through the bending moment equivalence principle M1 = M2 mid , where M1 is the bending moment of System 1 at the pier and M2 is the bending moment of System 2 at the pier; c) Based on the construction methods of cast-in-place concrete beams and cantilever erection of steel beams, set the segment lengths of the concrete beams and steel beams, calculate their respective construction durations, and establish a linear relationship between the side-to-middle span ratio λ and the steel beam proportion η according to the construction duration matching principle; d) Combine the mechanical equilibrium conditions to optimize the steel beam ratio η and the length l of the steel segment by adjusting the counterweight value γ of the side span, s where the counterweight value γ is the unit weight ratio of the side span to the main span box girder with the same height. e) During the construction process, use the dynamic balance method to calculate and adjust the steel segment length in sections to ensure the moment balance in each construction stage.

2. The optimized method for the length of steel segments of a hybrid girder bridge based on coupling of construction duration according to claim 1, wherein In step b), the calculation formulas for the moments M1 and M2 are respectively: where q c (x) is the load intensity of the concrete beam in System 1, q s (x) is the load intensity of the steel beam in System 1, and q2(x) is the load intensity of System 2.

3. The method for optimizing the length of steel segments of a hybrid girder bridge based on coupling of construction duration according to claim 1, wherein In step c), the construction duration matching principle is achieved through the following formula: Thus, the linear relationship between the side-to-middle span ratio λ and the steel beam proportion η is derived: where b is a constant.

4. The method for optimizing the length of the steel segment of a hybrid girder bridge based on the coupling of construction duration according to claim 1, wherein In step d), the value range of the counterweight value γ is 4 to 7.

5. The optimized method for the steel segment length of a hybrid girder bridge based on coupling of construction duration according to claim 1, characterized in that In step e), the dynamic balance method ensures the moment balance in each construction stage through the following formula: M n,1 = M n,2 n And make M n,1 = M n,2 , where M n,1 and M n,2 are the bending moments of system 1 and system 2 in the nth construction stage respectively.

6. The method for optimizing the length of the steel segment of a hybrid girder bridge based on the coupling of construction duration according to claim 1, wherein, The method further includes estimating the beam heights at the pier and at the mid-span according to the equivalent main span length l' in the preliminary design stage mid The specific formula is as follows: Among them, h pier is the beam height at the pier, and h mid is the beam height at the mid-span.

7. The method for optimizing the length of steel segments of a hybrid girder bridge based on coupling of construction duration according to claim 1, wherein The beam height change parameter includes the quadratic parabola change law of the beam height along the span, which is used to further optimize the matching of the steel segment length and the construction duration.

8. A steel segment length optimization system for a hybrid girder bridge based on the coupling of construction duration, characterized in that The system includes: A parameter input module for inputting the design parameters of the hybrid beam bridge; An equivalent calculation module for performing the overall equivalent method to calculate the equivalent side-to-middle span ratio and the equivalent main span length; A construction duration calculation module for calculating the construction durations of the concrete beams and steel beams and establishing a linear relationship between the side-to-middle span ratio and the steel beam proportion; An optimization module for optimizing the steel beam proportion and the steel segment length in combination with the mechanical balance conditions; A dynamic balance module for calculating and adjusting the steel segment length in sections during the construction process to ensure moment balance; An output module for outputting the optimized steel segment length and related design parameters; A verification module for verifying the rationality of the optimization result according to the actual project data and outputting adjustment suggestions.

9. The steel segment length optimization system for hybrid girder bridges based on construction duration coupling according to claim 8, wherein The optimization module realizes optimization by adjusting the counterweight value γ, and the value range of the counterweight value γ is 4 to 7.

10. An electronic device, characterized in that, The device includes: a processor and a memory; The memory is used for storing one or more program instructions; The processor is used for running one or more program instructions to execute the steps of the method for optimizing the steel segment length of the hybrid beam bridge based on the coupling of construction durations as described in any one of claims 1 to 7.

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