Arrangement method of annular prestressed steel strands for U-shaped aqueducts and related products

Abstract

The present invention relates to the technical field of aqueduct design and construction in water conservancy projects, and specifically to a U-shaped aqueduct and a method for arranging its annular prestressed steel strands and related products. The U-shaped aqueduct includes a trough body, and annular prestressed steel strands and longitudinal prestressed steel strands located inside the trough body; a plurality of parallel steel strands among the annular prestressed steel strands are arranged at non-weak parts of the trough body; a plurality of first inclined steel strands and second inclined steel strands among the annular prestressed steel strands are arranged at weak parts of the trough body; the present invention can provide uniform restraining force and effectively reduce stress concentration in non-weak parts by arranging parallel portions of the annular prestressed steel strands at non-weak parts of the trough body; a "fishing net" arrangement of mesh parts is adopted at weak parts of the trough body, and the staggered arrangement of the first inclined steel strands and the second inclined steel strands can improve the local stress state and enhance the crack resistance and structural durability of the weak parts.

Description

Technical Field

[0001] The present invention relates to the technical field of aqueduct design and construction in water conservancy projects, and in particular to a method for arranging annular prestressed steel strands for a U-shaped aqueduct and related products. Background Art

[0002] Aqueducts are one of the most widely used three-dimensional intersection structures in water diversion and regulation projects. U-shaped thin-shell aqueducts are particularly popular among designers due to their well-defined shape, superior hydraulic conditions, high longitudinal stiffness, low circumferential internal forces, and economical cross-section. As water diversion and regulation projects grow in size, the aqueduct structure is becoming increasingly larger, with more complex structures and more pronounced spatial effects. Large-scale aqueducts employ prestressed technology to improve their safety and durability.

[0003] The layout of prestressing is key to the design of large-scale aqueducts. In the early days, the layout of prestressing was designed with reference to the load balance method for bridges. The longitudinal prestressing was arranged at the bottom of the trough body, and the circumferential prestressing was arranged at equal intervals. As the span and flow rate increased, the upper and waist steel strands were arranged, and the wall thickness was locally increased to solve the problem of excessive stress on the inner surface. In summary, the current main solution is to solve the problem of excessive stress on the inner surface of the proximal rib of large-span U-shaped aqueducts by adding longitudinal and circumferential steel strands to constrain the concrete. Although these methods can improve the stress level at the end of the aqueduct and prevent it from cracking to a certain extent, they are often inefficient and there is a risk of cracking during the construction of the waist reinforcement, resulting in a high stress level in the trough body concrete and reduced structural ductility.

[0004] Currently, circumferential and longitudinal prestressed steel strands are commonly used in U-shaped aqueducts to constrain the structure and improve its crack resistance and durability. However, traditional prestressing arrangements (such as equidistant circumferential prestressed steel strands) have gradually exposed some shortcomings in practical applications, such as stress concentration in the end areas and localized uneven stress, which may increase the risk of crack propagation in weak parts of the structure. In addition, to meet the safety and stability requirements of long-span aqueducts, it is usually necessary to arrange additional steel strands, resulting in a significant increase in material costs and construction complexity.

[0005] To overcome these problems, finite element analysis is widely used in current technology to simulate the stress state of aqueducts, and key areas are optimized through local densification or structural thickening. However, these traditional methods often fail to effectively alleviate stress concentration in the end regions without significantly increasing the amount of steel strands or increasing the complexity of the structure. Therefore, a more efficient method for optimizing prestressing arrangement is urgently needed in U-shaped aqueduct design to simultaneously improve structural performance and control project costs. Summary of the Invention

[0006] The technical problem to be solved by the present invention is the problems of end stress concentration, insufficient crack resistance in weak parts and low material utilization rate existing in the existing U-shaped aqueduct prestressed steel strand arrangement method. The purpose is to provide a method for arranging circumferential prestressed steel strands for U-shaped aqueducts and related products, which can effectively improve the end stress state by optimizing the arrangement of the steel strands, improve the crack resistance and structural durability of the aqueduct, and at the same time reduce the use of steel strands and simplify the construction process.

[0007] The present invention is achieved through the following technical solutions:

[0008] A U-shaped aqueduct, comprising: a trough body, and a circumferential prestressed steel strand and a longitudinal prestressed steel strand located inside the trough body;

[0009] The longitudinal prestressed steel strands are arranged along the axial direction of the trough body; the annular prestressed steel strands are arranged around the trough body, including parallel parts and mesh parts;

[0010] The parallel portion is provided at a non-weak portion of the trough body, and the parallel portion comprises a plurality of parallel steel strands, and the plurality of parallel steel strands are all arranged parallel to the cross section of the trough body;

[0011] The mesh portion is arranged at a weak position of the trough body, and the mesh portion includes a plurality of first inclined steel strands and a plurality of second inclined steel strands. The plurality of first inclined steel strands are arranged parallel to each other and form an acute angle with the cross-section of the trough body. The plurality of second inclined steel strands are arranged parallel to each other and form an acute angle with the cross-section of the trough body. The first inclined steel strands and the second inclined steel strands are staggered to form a mesh structure.

[0012] Specifically, the weak parts of the trough body are: a stress concentration area where the shear stress is greater than a set threshold and a stress concentration area where the principal tensile stress is greater than a set threshold.

[0013] A method for arranging annular prestressed steel strands in a U-shaped aqueduct is provided, and is used for arranging the annular prestressed steel strands in the U-shaped aqueduct as described above. The method comprises:

[0014] Based on the structural form and stress characteristics of the trough, a full-scale finite element model was established to conduct stress simulation analysis of the trough in the non-prestressed state;

[0015] According to the simulation analysis results, the areas in the trough body where the shear stress or principal tensile stress is greater than the set threshold are determined and marked as weak parts of the trough body, and the remaining areas are non-weak parts.

[0016] Based on the geometric characteristics of the trough and the distribution of weak points, the layout of the hoop prestressed steel strands is parameterized to obtain the layout parameters.

[0017] Based on the full-scale finite element model obtained from the layout parameters, the stress simulation analysis of the tank body is carried out to determine whether the stress state of the weak parts of the tank body meets the design requirements;

[0018] If the design requirements are not met, the layout parameters are adjusted and the layout of the circumferential prestressed steel strands is iteratively updated until the design requirements are met.

[0019] Specifically, the arrangement of the circumferential prestressed steel strands is as follows: multiple parallel steel strands among the circumferential prestressed steel strands are arranged at the non-weak parts of the trough body; multiple first inclined steel strands and second inclined steel strands among the circumferential prestressed steel strands are arranged at the weak parts of the trough body.

[0020] Specifically, the layout parameters include:

[0021] Strand spacing parameters: fixed spacing between parallel strands; fixed spacing between first inclined strands; fixed spacing between second inclined strands; staggered spacing between first and second inclined strands;

[0022] Angle parameters: the acute angle formed by the first inclined steel strand and the cross section of the trough; the acute angle formed by the second inclined steel strand and the cross section of the trough;

[0023] Coordinate parameters: spatial coordinates of weak points in the trough; spatial coordinates of steel strands in the trough.

[0024] Optionally, the method for obtaining the layout parameters includes:

[0025] Establish a unified coordinate system in the three-dimensional space of the prestressed steel strands and the aqueduct;

[0026] Determine the spatial collective position of the i-th inclined steel strand:

[0027] Arc part:

[0028] Ring groove direction position equation: (x i -x ro ) 2 +(z i -z ro ) 2 =(R+Δr) 2 ;

[0029] Position equation in the forward chute direction:

[0030] Position equation in the reverse trough direction:

[0031] Straight line part:

[0032] Left side (-(R+Δr),yi , z ro )、(-(R+Δr),y i , z ro +f);

[0033] Reverse right ((R+Δr),y i -n×Δy,z ro )、((R+Δr),y i -n×Δy,z ro +f);

[0034] To the right ((R+Δr),y i +n×Δy,z ro )、((R+Δr),y i +n×Δy,z ro +f);

[0035] Among them, x i 、y i 、z i is the spatial coordinate of the i-th inclined steel strand, y i0 is the coordinate value of the starting point of the left steel strand along the trough; R is the inner diameter of the aqueduct; Δr is the distance between the steel strand and the inner surface; x ro 、z ro is the coordinate value of the center of the U-shaped aqueduct; n refers to the number of crossing steel strands; Δy is the spacing of the annular steel strands along the channel; f is the height of the straight section of the aqueduct.

[0036] The layout parameters of the hoop prestressed steel strands are obtained by simultaneous solution.

[0037] Specifically, the method for iteratively optimizing the layout parameters includes:

[0038] Initially set the layout parameters, including the spacing parameters, angle parameters and coordinate parameters of the steel strands;

[0039] Use finite element simulation to analyze the stress distribution of weak parts and determine whether the preset design requirements are met;

[0040] If the simulation results do not meet the requirements, adjust the following layout parameters: increase or decrease the staggered spacing between the first and second inclined steel strands; adjust the fixed spacing between the first and second inclined steel strands; adjust the angle between the first and second inclined steel strands and the trough cross section; modify the spacing and distribution range of the parallel steel strands;

[0041] Re-simulate and analyze according to the adjusted layout parameters until the stress distribution in both weak and non-weak areas meets the design requirements.

[0042] Optionally, the arrangement method includes:

[0043] The layout parameters of the aqueduct's annular prestressed steel strands, including spacing parameters, angle parameters, and coordinate parameters, are converted into code form for expression;

[0044] Connect the layout parameters in code format with the drawing software to generate a three-dimensional layout drawing of the hoop prestressed steel strands;

[0045] Import the three-dimensional layout drawing into the finite element model to obtain a scaled finite element model of the completed steel strand layout.

[0046] A computer-readable storage medium stores a computer program, which, when executed by a processor, implements the above-mentioned method for arranging annular prestressed steel strands in a U-shaped aqueduct.

[0047] A computer program product includes a computer program / instruction, characterized in that when the computer program / instruction is executed by a processor, it implements the above-mentioned method for arranging annular prestressed steel strands in a U-shaped aqueduct.

[0048] Compared with the prior art, the present invention has the following advantages and beneficial effects:

[0049] This invention arranges circumferential and longitudinal prestressed steel strands within the U-shaped aqueduct. The circumferential prestressed steel strands consist of parallel sections positioned in non-weak areas of the aqueduct and mesh sections positioned in weak areas. This optimizes the stress distribution in these weak areas. Parametric design determines the spacing, angle, and spatial coordinates of the circumferential prestressed steel strands. Combined with finite element simulation analysis, the layout parameters are iteratively optimized to ensure that the overall structural performance of the aqueduct meets design requirements.

[0050] The present invention can provide uniform restraining force and effectively reduce stress concentration in non-weak parts by arranging parallel sections of annular prestressed steel strands in non-weak parts of the trough body; a "fishing net" arrangement of mesh sections is adopted in the weak parts of the trough body, and the staggered arrangement of the first inclined steel strands and the second inclined steel strands can improve the local stress state and enhance the crack resistance and structural durability of the weak parts.

[0051] The present invention also uses parametric design to determine the layout parameters of prestressed steel strands, enabling rapid adjustment and optimization of the layout scheme, improving design efficiency. Finite element simulation analysis is used to verify and iteratively optimize the layout scheme, making the placement of the hoop prestressed steel strands more precise, thereby reducing the amount of steel strands used and lowering project costs. BRIEF DESCRIPTION OF THE DRAWINGS

[0052] The accompanying drawings illustrate exemplary embodiments of the present invention and, together with the description thereof, are used to explain the principles of the present invention. These drawings are included to provide a further understanding of the present invention, and the accompanying drawings are included in and constitute a part of this specification and do not constitute a limitation of the embodiments of the present invention.

[0053] Figure 1 It is a structural schematic diagram of a U-shaped aqueduct according to the present invention.

[0054] Figure 2 This is the calculation result of the aqueduct in the non-prestressed state according to the present invention.

[0055] Figure 3 This is the traditional prestressed steel strand arrangement according to the present invention.

[0056] Figure 4 This is the simulation calculation result of the aqueduct under the traditional prestressed state according to the present invention.

[0057] Figure 5 This is a simulation verification result of the prestress value of the traditional prestressed steel strand according to the present invention.

[0058] Figure 6 This is the "fishing net" shaped prestressed steel strand arrangement according to the present invention.

[0059] Figure 7 This is the simulation calculation result of the aqueduct in the "fishing net" shaped prestressed steel strand state according to the present invention.

[0060] Figure numerals: 1- trough body, 2- longitudinal prestressed steel strand, 3- parallel steel strand, 4- first inclined steel strand, 5- second inclined steel strand. DETAILED DESCRIPTION

[0061] To make the purpose, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the relevant content and are not intended to limit the present invention.

[0062] It should also be noted that, for the convenience of description, only the parts related to the present invention are shown in the drawings.

[0063] In the absence of conflict, the embodiments and features of the embodiments of the present invention can be combined with each other. The present invention will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.

[0064] Example 1

[0065] like Figure 1As shown, this embodiment provides a U-shaped aqueduct, comprising: a trough body 1, and a circumferential prestressed steel strand and a longitudinal prestressed steel strand 2 located inside the trough body 1;

[0066] The longitudinal prestressed steel strands 2 are arranged along the axis of the trough body 1 to provide longitudinal restraint for the overall structure.

[0067] The hoop prestressed steel strands are arranged around the trough 1 and are divided into parallel parts and mesh parts according to the force requirements;

[0068] The parallel portion is provided at a non-weak portion of the trough body 1 (i.e., an area where both the shear stress and the principal tensile stress are lower than a set threshold value), and the parallel portion includes a plurality of parallel steel strands 3, and the plurality of parallel steel strands 3 are arranged parallel to the cross section of the trough body 1;

[0069] The mesh portion is provided at a weak position of the tank body 1 (i.e., a stress concentration area where the shear stress or the principal tensile stress exceeds a set threshold), and the mesh portion includes a plurality of first inclined steel strands 4 and a plurality of second inclined steel strands 5;

[0070] The mesh part is arranged at the weak part of the trough body 1, and the mesh part includes multiple first inclined steel strands 4 and multiple second inclined steel strands 5. The multiple first inclined steel strands 4 are arranged parallel to each other and form an acute angle with the cross section of the trough body 1. The multiple second inclined steel strands 5 are arranged parallel to each other and form an acute angle with the cross section of the trough body 1. The first inclined steel strands 4 and the second inclined steel strands 5 are staggered to form a "fishing net" structure.

[0071] The weak parts of the tank body 1 are: a stress concentration area where the shear stress is greater than a set threshold and a stress concentration area where the principal tensile stress is greater than a set threshold.

[0072] Example 2

[0073] like Figure 2 As shown, this embodiment addresses the optimal placement of circumferential prestressed steel strands in a U-shaped aqueduct. By combining the geometric and stress characteristics of the trough, finite element analysis and parametric design are used to precisely identify weak and non-weak areas within the trough. The arrangement of the prestressed steel strands is then optimized and verified. Iterative simulation analysis and parameter adjustments ensure that the stress distribution within the trough meets design requirements.

[0074] A method for arranging circumferential prestressed steel strands in a U-shaped aqueduct is provided, the method comprising:

[0075] Based on the structural form and stress characteristics of the trough body, a full-scale finite element model was established to carry out stress simulation analysis of the trough body in the non-prestressed state; under the condition of no prestressed steel strand arrangement, the aqueduct structure was simulated and analyzed to obtain the distribution of shear stress and principal tensile stress.

[0076] Based on the simulation analysis results, areas within the aqueduct where shear stress or principal tensile stress exceeds a set threshold are identified and marked as weak points. The remaining areas are considered non-weak points. Weak points are typically concentrated at the ends of the aqueduct or in areas with complex stresses. Therefore, this invention effectively addresses the design of steel strand layout at the ends of the aqueduct.

[0077] Based on the geometric characteristics of the trough and the distribution of weak points, the layout of the hoop prestressed steel strands was parameterized to obtain layout parameters; these parameters include strand spacing, angles, and spatial coordinates. A parallel layout was adopted for non-weak points, with the hoop prestressed steel strands parallel to the trough cross section. A mesh layout was adopted for weak points, with the first and second inclined steel strands interlaced to form a "fishing net" structure. The goal of the layout optimization was to mitigate stress concentration in weak points and achieve high overall material utilization.

[0078] Based on the full-scale finite element model obtained from the layout parameters, the stress simulation analysis of the trough body is carried out to determine whether the stress state of the weak parts of the trough body meets the design requirements, including the specific requirements of the water conservancy project such as crack resistance and durability.

[0079] If the design requirements are not met, that is, if the simulation results show that the weak parts still have excessive stress or uneven stress, the layout parameters are adjusted and the layout of the circumferential prestressed steel strands is iteratively updated until the design requirements are met.

[0080] Example 3

[0081] The arrangement of the hoop prestressed steel strands adopts different forms according to the distribution characteristics of the weak and non-weak parts of the trough to optimize the stress effect and material utilization efficiency:

[0082] Multiple parallel steel strands of the circumferential prestressed steel strands are arranged in the non-weak parts of the trough body to provide uniform circumferential restraint force, which is suitable for areas with relatively uniform stress.

[0083] Multiple first inclined steel strands and second inclined steel strands among the circumferential prestressed steel strands are arranged at the weak parts of the trough body. The steel strands form acute angles with the cross-section of the trough body and are intertwined with each other to form a "fishing net-like" structure, which can effectively disperse concentrated stress and improve local crack resistance and durability.

[0084] The layout parameters are used to accurately describe the geometric and mechanical properties of the hoop prestressed steel strands within the trough. The layout parameters include:

[0085] Strand spacing parameters: fixed spacing between parallel strands; fixed spacing between first inclined strands; fixed spacing between second inclined strands; staggered spacing between first and second inclined strands;

[0086] Angle parameters: the acute angle formed by the first inclined steel strand and the cross section of the trough; the acute angle formed by the second inclined steel strand and the cross section of the trough; the stress direction and distribution are adjusted by the angle, and a mesh structure can be formed.

[0087] Coordinate parameters: The spatial coordinates of the weak point within the trough define the three-dimensional spatial range of the weak point and provide a positioning basis for the layout of the mesh. The spatial coordinates of the steel strand within the trough describe the layout of the steel strand within the trough, including the starting point, end point, and path coordinates, ensuring the compatibility of the steel strand with the trough structure.

[0088] Example 4

[0089] Methods for obtaining layout parameters include:

[0090] Establish a unified coordinate system in the three-dimensional space of the prestressed steel strands and the aqueduct;

[0091] Determine the spatial collective position of the i-th inclined steel strand:

[0092] Arc part:

[0093] Ring groove direction position equation: (x i -x ro ) 2 +(z i -z ro ) 2 =(R+Δr) 2 ;

[0094] Position equation in the forward chute direction:

[0095] Position equation in the reverse trough direction:

[0096] Straight line part:

[0097] Left side (-(R+Δr), y i , z ro )、(-(R+Δr)、y i , z ro +f);

[0098] Reverse to the right ((R+Δr), y i -n×Δy,z ro )、((R+Δr)、y i -n×Δy,z ro +f);

[0099] To the right ((R+Δr), y i +n×Δy,z ro )、((R+Δr)、yi +n×Δy,z ro +f);

[0100] Among them, x i 、y i 、z i is the spatial coordinate of the i-th inclined steel strand, y i0 is the coordinate value of the starting point of the left steel strand along the trough; R is the inner diameter of the aqueduct; Δr is the distance between the steel strand and the inner surface; x ro 、z ro is the coordinate value of the center of the U-shaped aqueduct; n refers to the number of crossing steel strands; Δy is the spacing of the annular steel strands along the channel; f is the height of the straight section of the aqueduct.

[0101] The layout parameters of the hoop prestressed steel strands are obtained by simultaneous solution.

[0102] The iterative optimization method for layout parameters combines initial design with finite element simulation analysis to conduct multiple adjustments and verifications on the circumferential prestressed steel strand layout of the U-shaped aqueduct to optimize the mechanical performance of weak and non-weak areas. The iterative optimization method for layout parameters includes:

[0103] Initially set the layout parameters, including the spacing parameters, angle parameters and coordinate parameters of the steel strands;

[0104] Use finite element simulation to analyze the stress distribution of weak parts and determine whether the preset design requirements are met;

[0105] If the simulation results do not meet the requirements, adjust the following layout parameters: increase or decrease the staggered spacing between the first and second inclined steel strands; adjust the fixed spacing between the first and second inclined steel strands; adjust the angle between the first and second inclined steel strands and the trough cross section; modify the spacing and distribution range of the parallel steel strands;

[0106] Re-simulate and analyze according to the adjusted layout parameters until the stress distribution in both weak and non-weak areas meets the design requirements.

[0107] The layout method combines an automatic drawing system, finite element simulation models, and optimization technology. The focus is on accurately and quickly optimizing the layout of hoop prestressed steel strands through parametric design and automatic generation of 3D layout drawings. The layout method includes:

[0108] The layout parameters of the aqueduct's annular prestressed steel strands, including spacing parameters, angle parameters, and coordinate parameters, are converted into code using commercial programming software.

[0109] The layout parameters in code form are connected to drawing software (such as CAD or other 3D modeling tools) to generate a 3D layout drawing of the circumferential prestressed steel strands. By changing the parameter code, the layout form can be modified in real time to generate the corresponding 3D automatic drawing.

[0110] The generated three-dimensional layout diagram was imported into the finite element model and combined with the full-scale finite element model of the aqueduct. In the finite element model, the stress state of the arranged steel strands was simulated and verified, and the impact of the steel strand arrangement on the overall stress distribution of the aqueduct was analyzed.

[0111] Combined with the automatically generated “fishing net” layout, the strands in the unfavorable end areas were optimized and the new layout was imported into the finite element model.

[0112] A simulation analysis is performed on the optimized aqueduct structure to verify whether the force distribution in the end area is improved and whether it meets the design requirements.

[0113] Example 5

[0114] The following provides a specific embodiment to illustrate the application process and effect of the present invention:

[0115] like Figure 3 As shown in the figure, the traditional prestressed steel strands are arranged in a uniform parallel manner. After importing this arrangement into the finite element analysis software, the following Figure 4 The simulation model of the aqueduct under the traditional prestressed state is shown. Finite element simulation analysis was used to obtain and verify the stress distribution of the traditional prestressed steel strand arrangement. The analysis results show that the traditional arrangement easily causes stress concentration at the ends of the aqueduct, and the stress state in the weak areas does not fully meet the design requirements.

[0116] Based on the requirements of the present invention, the following Figure 6 The fishnet-like prestressed steel strand arrangement shown in the figure uses staggered first and second inclined steel strands in the weak parts of the trough to form a "fishnet-like" structure. After importing this optimized arrangement into the finite element analysis software, the following Figure 7 The simulation model of the aqueduct with prestressed steel strands in a fishnet configuration is shown. Finite element simulation analysis confirmed that the fishnet-like arrangement significantly reduced stress concentration at the aqueduct ends, resulting in more uniform force distribution in weak areas and overall structural performance meeting design requirements.

[0117] Example 6

[0118] A computer-readable storage medium stores a computer program, which, when executed by a processor, implements the above-mentioned method for arranging annular prestressed steel strands in a U-shaped aqueduct.

[0119] Without loss of generality, computer-readable media may include computer storage media and communication media. Computer storage media includes volatile and non-volatile, removable and non-removable media implemented in any method or technology for storing information such as computer-readable instruction data structures, program modules, or other data. Computer storage media includes RAM, ROM, EPROM, EEPROM, flash memory or other solid-state storage technologies, CD-ROM, DVD or other optical storage, magnetic cassettes, magnetic tape, magnetic disk storage or other magnetic storage devices. Of course, those skilled in the art will appreciate that computer storage media is not limited to the aforementioned types. The aforementioned system memory and mass storage devices may be collectively referred to as memory.

[0120] A computer program product includes a computer program / instruction, characterized in that when the computer program / instruction is executed by a processor, it implements the above-mentioned method for arranging annular prestressed steel strands in a U-shaped aqueduct.

[0121] A computer program product consists of a computer program or set of instructions for performing specific tasks or implementing specific functions. These programs or instructions are designed to be executed by a processor, thereby completing a series of predefined steps or operations. The program product may be stored in various forms of computer storage media, such as memory, hard disks, solid-state drives, optical disks, or other digital storage devices. It may exist as compiled binary code or as a script or bytecode executable by an interpreter. Through carefully designed algorithms and logical instructions, the program product enables the processor to process data in a specific order and manner, completing various functions such as data analysis, user interaction, and device control.

[0122] In the description of this specification, the description with reference to the terms "one embodiment / method", "some embodiments / methods", "example", "specific example", or "some examples" means that the specific features, structures, materials or characteristics described in conjunction with the embodiment / method or example are included in at least one embodiment / method or example of the present application. In this specification, the schematic expressions of the above terms do not necessarily refer to the same embodiment / method or example. Moreover, the specific features, structures, materials or characteristics described may be combined in an appropriate manner in any one or more embodiments / methods or examples. In addition, those skilled in the art may combine and combine different embodiments / methods or examples described in this specification and the features of different embodiments / methods or examples, unless they are contradictory.

[0123] Furthermore, the terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of the technical features being referred to. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one of such features. Throughout the description of this application, "plurality" means at least two, for example, two, three, etc., unless otherwise specifically defined.

[0124] It should be understood by those skilled in the art that the above embodiments are merely for the purpose of illustrating the present invention clearly, and are not intended to limit the scope of the present invention. For those skilled in the art, other changes or modifications may be made based on the above invention, and these changes or modifications are still within the scope of the present invention.

Claims

1. A U-shaped aqueduct, characterized in that: include: A trough body (1), and annular prestressed steel strands and longitudinal prestressed steel strands (2) located inside the trough body (1); The longitudinal prestressed steel strands (2) are arranged along the axial direction of the trough body (1); the circumferential prestressed steel strands are arranged around the trough body (1), and include parallel portions and mesh portions; The parallel portion is provided at a non-weak position of the trough body (1), and the parallel portion comprises a plurality of parallel steel strands (3), and the plurality of parallel steel strands (3) are all arranged parallel to the cross section of the trough body (1); The mesh portion is arranged at a weak position of the trough body (1), and the mesh portion comprises a plurality of first inclined steel strands (4) and a plurality of second inclined steel strands (5), the plurality of first inclined steel strands (4) are arranged in parallel with each other and form an acute angle with the cross section of the trough body (1), the plurality of second inclined steel strands (5) are arranged in parallel with each other and form an acute angle with the cross section of the trough body (1), the first inclined steel strands (4) and the second inclined steel strands (5) are arranged in an interlaced manner to form a mesh structure; The weak parts of the tank body are: stress concentration areas where the shear stress is greater than a set threshold and stress concentration areas where the principal tensile stress is greater than a set threshold; The non-weak parts of the tank body are: other areas other than the weak parts.

2. A method for arranging annular prestressed steel strands in a U-shaped aqueduct, characterized in that: For arranging the annular prestressed steel strands in the U-shaped aqueduct according to claim 1, the arrangement method comprises: Based on the structural form and stress characteristics of the trough, a full-scale finite element model was established to conduct stress simulation analysis of the trough in the non-prestressed state; Based on the simulation analysis results, the areas in the tank body where the shear stress or principal tensile stress is greater than the set threshold are identified and marked as weak areas of the tank body, and the remaining areas are non-weak areas; Based on the geometric characteristics of the trough and the distribution of weak points, the layout of the hoop prestressed steel strands is parameterized to obtain the layout parameters. Based on the full-scale finite element model obtained from the layout parameters, the stress simulation analysis of the tank body is carried out to determine whether the stress state of the weak parts of the tank body meets the design requirements; If the design requirements are not met, the layout parameters are adjusted and the layout of the circumferential prestressed steel strands is iteratively updated until the design requirements are met.

3. The method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 2, characterized in that: The arrangement of the circumferential prestressed steel strands is as follows: multiple parallel steel strands are arranged at the non-weak parts of the trough body; multiple first inclined steel strands and second inclined steel strands are arranged at the weak parts of the trough body.

4. The method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 3, characterized in that: The layout parameters include: Strand spacing parameters: fixed spacing between parallel strands; fixed spacing between first inclined strands; fixed spacing between second inclined strands; staggered spacing between first and second inclined strands; Angle parameters: the acute angle formed by the first inclined steel strand and the cross section of the trough; the acute angle formed by the second inclined steel strand and the cross section of the trough; Coordinate parameters: spatial coordinates of weak points in the trough; spatial coordinates of steel strands in the trough.

5. The method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 4, characterized in that: Methods for obtaining layout parameters include: Establish a unified coordinate system in the three-dimensional space of the prestressed steel strands and the aqueduct; Determine the spatial collective position of the i-th inclined steel strand: Arc part: Ring groove direction position equation: (x i -x ro ) 2 +(z i -z ro ) 2 =(R+Δr) 2 ; Position equation in the forward chute direction: Position equation in the reverse trough direction: Straight line part: Left side (-(R + Δr), y i , z ro ), (-(R + Δr), y i , z ro + f); Reverse to the right ((R+Δr), y i -n×Δy,z ro )、((R+Δr),y i -n×Δy,z ro +f); To the right ((R+Δr), y i +n×Δy,z ro )、((R+Δr),y i +n×Δy,z ro +f); Among them, x i 、y i 、z i is the spatial coordinate of the i-th inclined steel strand, y i0 is the coordinate value of the starting point of the left steel strand along the channel; R is the inner diameter of the aqueduct; Δr is the distance between the steel strand and the inner surface of the U-shaped aqueduct; x ro 、z ro is the coordinate value of the center of the U-shaped aqueduct; n refers to the number of cross-strands; Δy is the spacing of the annular prestressed steel strands along the channel; f is the height of the straight section of the aqueduct; The layout parameters of the hoop prestressed steel strands are obtained by simultaneous solution.

6. The method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 4, characterized in that: Methods for iterative optimization of layout parameters include: Initially set the layout parameters, including the spacing parameters, angle parameters and coordinate parameters of the steel strands; Use finite element simulation to analyze the stress distribution of weak parts and determine whether the preset design requirements are met; If the simulation results do not meet the requirements, adjust the following layout parameters: increase or decrease the staggered spacing between the first and second inclined steel strands; adjust the fixed spacing between the first and second inclined steel strands; adjust the angle between the first and second inclined steel strands and the trough cross section; modify the spacing and distribution range of the parallel steel strands; Re-simulate and analyze according to the adjusted layout parameters until the stress distribution in both weak and non-weak areas meets the design requirements.

7. The method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 6, characterized in that: Layout methods include: The layout parameters of the aqueduct's annular prestressed steel strands, including spacing parameters, angle parameters, and coordinate parameters, are converted into code form for expression; Connect the layout parameters in code format with the drawing software to generate a three-dimensional layout drawing of the hoop prestressed steel strands; Import the three-dimensional layout drawing into the finite element model to obtain a scaled finite element model of the completed steel strand layout.

8. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, a method for arranging circumferential prestressed steel strands for a U-shaped aqueduct is implemented as described in any one of claims 2 to 7.

9. A computer program product comprising a computer program / instructions, characterized in that When the computer program / instruction is executed by a processor, a method for arranging annular prestressed steel strands for a U-shaped aqueduct as described in any one of claims 2 to 7 is implemented.

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