Novel arrangement method for annular prestressed steel strands of U-shaped aqueduct and related products
By optimizing the arrangement form of the annular prestressed steel strand in the U-shaped aqueduct and using the combined arrangement of parallel and mesh parts, the problems of insufficient stress concentration and crack resistance in the middle of the U-shaped aqueduct prestressed steel strand arrangement in the prior art are solved, thereby achieving more efficient structural performance improvement and engineering cost control.
Patent Information
- Application Number
- CN202411988320.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-31
- Publication Date
- 2025-04-29
- Estimated Expiration
- 2044-12-31
AI Technical Summary
In the existing U-shaped aqueduct prestressed steel strand arrangement, there are problems such as concentrated end stress, insufficient crack resistance in weak areas, and low material utilization.
By arranging the circumferential prestressed steel strands and the longitudinal prestressed steel strands in the groove body of the U-shaped aqueduct, wherein the circumferential prestressed steel strands include parallel portions arranged in non-weak parts of the groove body and mesh parts arranged in the weak parts, the stress form of the weak parts is optimized. Using parameterized design and finite element simulation analysis, the layout parameters are iteratively optimized to ensure that the overall structural performance of the aqueduct meets the design requirements.
It effectively improves the stress state at the end, improves the crack resistance and structural durability of the aqueduct, and reduces the use of steel strands, simplifies the construction process, and reduces the engineering cost.
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Figure CN119903700A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of aqueduct design and construction in water conservancy projects, and in particular to a U-shaped aqueduct and an arrangement method of annular prestressed steel strands thereof and related products. Background Art
[0002] Aqueduct is one of the most widely used three-dimensional cross-structures in water diversion and regulation projects. Among them, U-shaped thin-shell aqueduct is favored by many designers due to its good shape, superior hydraulic conditions, large longitudinal stiffness, small circumferential internal force and economical cross-section. With the increase of water diversion and regulation projects, the size of the trough structure is becoming larger and larger, the structure is more complex, and the spatial effect is becoming more and more obvious. Large-shaped aqueducts use prestressed technology to improve the safety and durability of the aqueduct.
[0003] The arrangement of prestress is the key to the design of large-scale aqueducts. In the early days, the arrangement of prestress was designed according to the load balance method with reference to bridges. The longitudinal prestress was arranged at the bottom of the trough body, and the circumferential prestress 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 increased locally 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 the large-span U-shaped aqueduct 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 to a certain extent and prevent it from cracking, they are often inefficient and there is a risk of cracking in the construction of waist reinforcement, resulting in a high stress level in the trough body concrete and reduced structural ductility.
[0004] At present, circumferential and longitudinal prestressed steel strands are often used in U-shaped aqueducts to constrain the structure in order to improve its crack resistance and durability. However, the traditional prestressing arrangement method (such as equidistant arrangement of circumferential prestressed steel strands) has gradually exposed some shortcomings in practical applications, such as stress concentration in the end area and uneven local force, which may increase the risk of crack expansion in weak parts of the structure. In addition, in order to meet the safety and stability requirements of large-span aqueducts, it is usually necessary to increase the amount of steel strands arranged, which significantly increases material costs and construction complexity.
[0005] In order to overcome these problems, the finite element analysis method is widely used in current technology to simulate the stress state of the aqueduct, and the key parts are optimized by combining local densification or structural thickening. However, these traditional methods are often difficult to effectively alleviate the stress concentration problem in the end area without significantly increasing the amount of steel strands or the complexity of the structure. Therefore, in the design of U-shaped aqueducts, a more efficient prestressed layout optimization method is urgently needed to take into account both the improvement of structural performance and the control of engineering 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 at 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 U-shaped aqueduct and its annular prestressed steel strand arrangement method 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 comprises: a trough body, and an annular 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 tank body; the annular prestressed steel strands are arranged around the tank body, including parallel parts and mesh parts;
[0010] The parallel portion is arranged at a non-weak position of the trough body, and the parallel portion includes a plurality of parallel steel strands, and the plurality of parallel steel strands are arranged parallel to the cross section of the trough body;
[0011] The mesh part is arranged at the weak position of the trough body, and the mesh part 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 in parallel with each other and form an acute angle with the cross section of the trough body. The plurality of second inclined steel strands are arranged in parallel with 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 new method for arranging annular prestressed steel strands in a U-shaped aqueduct is used for arranging the annular prestressed steel strands in the U-shaped aqueduct as described above, and the arrangement method comprises:
[0014] Based on the structural form and stress characteristics of the tank body, a full-scale finite element model is established to conduct stress simulation analysis on the tank body in a non-prestressed state;
[0015] According to the simulation analysis results, the areas in the trough body where the shear stress or the 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 parts, 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 by 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 annular prestressed steel strands is iteratively updated until the design requirements are met.
[0019] Specifically, the arrangement of the annular prestressed steel strands is as follows: multiple parallel steel strands among the annular prestressed steel strands are arranged at non-weak locations of the trough body; multiple first inclined steel strands and second inclined steel strands among the annular prestressed steel strands are arranged at weak locations 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 inclined strands 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 arrangement parameters includes:
[0025] Establish a unified coordinate system in the three-dimensional space where the prestressed steel strands and the aqueduct are located;
[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] The position equation in the reverse trough direction:
[0031] Straight section:
[0032] Left side (-(R+Δr), yi , z ro )、(-(R+Δr)、y i , z ro +f);
[0033] Reverse to the 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 tendon, y i0 is the coordinate value of the starting point of the left steel bundle along the channel; R is the inner diameter of the aqueduct; Δr is the distance between the steel bundle 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 cross-stranded wires; 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 joint 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 space coordinate parameters of the steel strands;
[0039] Use finite element simulation to analyze the stress distribution of weak parts and determine whether it meets the preset design requirements;
[0040] If the simulation results do not meet the requirements, adjust the following layout parameters: increase or decrease the staggered spacing between the first inclined steel strand and the second inclined steel strand; adjust the fixed spacing between the first inclined steel strand and the second inclined steel strand; adjust the angle between the first inclined steel strand and the second inclined steel strand and the cross section of the trough; modify the spacing and distribution range of parallel steel strands;
[0041] Re-simulate and analyze according to the adjusted layout parameters until the stress distribution in both weak and non-weak locations meets the design requirements.
[0042] Optionally, the arrangement method includes:
[0043] The layout parameters of the aqueduct annular prestressed steel strands, including spacing parameters, angle parameters and space coordinate parameters, are converted into code form for expression;
[0044] Connect the layout parameters in code form with the drawing software to generate a three-dimensional layout diagram of the hoop prestressed steel strands;
[0045] The three-dimensional layout drawing is imported into the finite element model to obtain the 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 new method for arranging annular prestressed steel strands of a U-shaped aqueduct as described above.
[0047] A computer program product includes a computer program / instruction, wherein the computer program / instruction, when executed by a processor, implements the new method for arranging annular prestressed steel strands of a U-shaped aqueduct as described above.
[0048] Compared with the prior art, the present invention has the following advantages and beneficial effects:
[0049] The present invention arranges circumferential prestressed steel strands and longitudinal prestressed steel strands in the body of the U-shaped aqueduct, wherein the circumferential prestressed steel strands include parallel parts arranged at non-weak parts of the body and mesh parts arranged at weak parts of the body, thereby optimizing the stress form of the weak parts. The spacing, angle and spatial coordinates of the circumferential prestressed steel strands are determined by parametric design, and the arrangement parameters are iteratively optimized in combination with finite element simulation analysis, so that the overall structural performance of the aqueduct meets the 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-like" 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 determines the layout parameters of the prestressed steel strands through parametric design, which can quickly adjust and optimize the layout scheme and improve design efficiency. The layout scheme is verified and iteratively optimized using finite element simulation analysis, making the layout of the hoop prestressed steel strands more accurate, thereby reducing the amount of steel strands used and reducing engineering 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 It is the simulation calculation result of the aqueduct in the state of "fishing net" shaped prestressed steel strands 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 solution 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 implementation methods. It is understood that the specific implementation methods described herein are only used to explain the relevant content, rather than 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 may 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] Embodiment 1
[0065] like Figure 1As shown, this embodiment provides a U-shaped aqueduct, comprising: a trough body 1, and annular prestressed steel strands and longitudinal prestressed steel strands 2 located inside the trough body 1;
[0066] The longitudinal prestressed steel strands 2 are arranged along the axial direction of the trough body 1 to provide longitudinal restraint for the overall structure.
[0067] The annular 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 part is arranged at a non-weak part of the tank body 1 (i.e., a region where both the shear stress and the principal tensile stress are lower than a set threshold value), and the parallel part comprises a plurality of parallel steel strands 3, and the plurality of parallel steel strands 3 are arranged parallel to the cross section of the tank body 1;
[0069] The mesh part is arranged at the weak part of the tank body 1 (i.e., the stress concentration area where the shear stress or the main tensile stress exceeds the set threshold), and the mesh part 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 position of the trough body 1, and the mesh part includes 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 staggered to form a "fishing net-like" 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] Embodiment 2
[0073] like Figure 2 As shown, this embodiment aims at optimizing the arrangement of the annular prestressed steel strands of the U-shaped aqueduct, combines the geometric characteristics and stress characteristics of the trough body, accurately determines the weak and non-weak parts of the trough body through finite element analysis and parametric design, and optimizes and verifies the arrangement of the prestressed steel strands. Through iterative simulation analysis and parameter adjustment, it is ensured that the stress distribution of the trough body meets the design requirements.
[0074] A new method for arranging annular prestressed steel strands of a U-shaped aqueduct is provided, the arrangement method comprising:
[0075] Based on the structural form and stress characteristics of the trough body, a full-scale finite element model is established, and the stress simulation analysis of the trough body under the non-prestressed state is carried out; under the condition of no prestressed steel strand arrangement, the aqueduct structure is simulated and analyzed to obtain the distribution of shear stress and principal tensile stress.
[0076] According to the simulation analysis results, the area in the trough where the shear stress or the principal tensile stress is greater than the set threshold is determined and marked as the weak part of the trough, and the rest of the area is non-weak part. The weak parts are usually concentrated at the end of the trough or the local complex stress area. Therefore, in fact, the present invention is aimed at the layout design of the steel strand at the end of the aqueduct.
[0077] Based on the geometric characteristics of the trough and the distribution of weak parts, the layout of the hoop prestressed steel strands is parameterized to obtain the layout parameters; the layout parameters include the spacing, angle and spatial coordinates of the steel strands. The non-weak parts are arranged in parallel, and the hoop prestressed steel strands are parallel to the cross section of the trough. The weak parts are arranged in a mesh pattern, and the first inclined steel strand and the second inclined steel strand are arranged in an alternating manner to form a "fishing net" structure. The goal of the layout optimization is to ensure that the force concentration problem in the weak parts is alleviated and the overall material utilization rate is high.
[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 specific requirements of water conservancy projects 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 force problems, the layout parameters are adjusted and the layout of the annular prestressed steel strands is iteratively updated until the design requirements are met.
[0080] Embodiment 3
[0081] The arrangement of the annular prestressed steel strands adopts different forms according to the distribution characteristics of the weak and non-weak parts of the trough to optimize the force effect and material utilization efficiency:
[0082] Multiple parallel steel strands of the circumferential prestressed steel strands are arranged at the non-weak parts of the trough body to provide uniform circumferential restraint force, which is suitable for areas with relatively uniform force.
[0083] Multiple first inclined steel strands and second inclined steel strands among the annular 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 to form a "fishing net-like" structure, which can effectively disperse the concentrated stress and improve the local crack resistance and durability.
[0084] The layout parameters are used to accurately describe the geometric and mechanical properties of the annular prestressed steel strands in 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 inclined strands 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 part in the tank can define the three-dimensional spatial range of the weak part and provide a position basis for the layout of the mesh part. The spatial coordinates of the steel strand in the tank describe the layout of the steel strand in the tank, including the starting point, end point and path coordinates, to ensure the matching of the steel strand and the tank structure.
[0088] Embodiment 4
[0089] The method for obtaining the layout parameters includes:
[0090] Establish a unified coordinate system in the three-dimensional space where the prestressed steel strands and the aqueduct are located;
[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] The position equation in the reverse trough direction:
[0096] Straight section:
[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 tendon, y i0 is the coordinate value of the starting point of the left steel bundle along the channel; R is the inner diameter of the aqueduct; Δr is the distance between the steel bundle 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 cross-stranded wires; 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 joint solution.
[0102] Iterative optimization method of layout parameters By combining initial design and finite element simulation analysis, the layout of the circumferential prestressed steel strands of the U-shaped aqueduct is adjusted and verified multiple times to optimize the stress performance of weak and non-weak parts. The method of iterative optimization of layout parameters includes:
[0103] Initially set the layout parameters, including the spacing parameters, angle parameters and space coordinate parameters of the steel strands;
[0104] Use finite element simulation to analyze the stress distribution of weak parts and determine whether it meets the preset design requirements;
[0105] If the simulation results do not meet the requirements, adjust the following layout parameters: increase or decrease the staggered spacing between the first inclined steel strand and the second inclined steel strand; adjust the fixed spacing between the first inclined steel strand and the second inclined steel strand; adjust the angle between the first inclined steel strand and the second inclined steel strand and the cross section of the trough; modify the spacing and distribution range of parallel steel strands;
[0106] Re-simulate and analyze according to the adjusted layout parameters until the stress distribution in both weak and non-weak locations meets the design requirements.
[0107] The layout method combines the automatic drawing system, finite element simulation model and optimization technology, focusing on accurately and quickly optimizing the layout of the hoop prestressed steel strands through parametric design and automatic generation of three-dimensional layout drawings. The layout method includes:
[0108] The layout parameters of the aqueduct annular prestressed steel strands, including spacing parameters, angle parameters and spatial coordinate parameters, are converted into code form through commercial programming software for expression;
[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 annular 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 is 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 is simulated and verified, and the influence of the steel strand arrangement on the overall stress distribution of the aqueduct is analyzed.
[0111] Combined with the automatically generated “fishnet-like” layout diagram, the steel strands in the unfavorable end areas are optimized and the new layout is imported into the finite element model.
[0112] A simulation analysis is carried out 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] Embodiment 5
[0114] A specific embodiment is provided below 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 calculation model of the aqueduct under the traditional prestressed state is shown in the figure. Through finite element simulation analysis, the stress distribution results of the traditional prestressed steel strand arrangement were obtained and verified. The analysis results show that the traditional arrangement form is prone to stress concentration at the end of the aqueduct, and the stress state of the weak part cannot fully meet the design requirements.
[0116] Based on the requirements of the present invention, the following is designed: Figure 6 The fishnet-like prestressed steel strand arrangement shown in the figure uses staggered first inclined steel strands and second inclined steel strands to form a "fishnet-like" structure at the weak part of the trough. After importing the optimized arrangement into the finite element analysis software, the following Figure 7 The simulated calculation model of the aqueduct under the state of fishing net-shaped prestressed steel strands is shown. Through finite element simulation analysis and verification, the fishing net-shaped arrangement significantly improves the stress concentration phenomenon at the end of the aqueduct, the force distribution at the weak parts is more uniform, and the overall structural performance meets the design requirements.
[0117] Embodiment 6
[0118] A computer-readable storage medium stores a computer program, which, when executed by a processor, implements the new method for arranging annular prestressed steel strands of a U-shaped aqueduct as described above.
[0119] Without loss of generality, computer readable media may include computer storage media and communication media. Computer storage media include 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 include RAM, ROM, EPROM, EEPROM, flash memory or other solid-state storage technology, CD-ROM, DVD or other optical storage, cassettes, magnetic tapes, disk storage or other magnetic storage devices. Of course, those skilled in the art will appreciate that computer storage media are not limited to the above. The above-mentioned system memory and mass storage devices can be collectively referred to as memory.
[0120] A computer program product includes a computer program / instruction, wherein the computer program / instruction, when executed by a processor, implements the new method for arranging annular prestressed steel strands of a U-shaped aqueduct as described above.
[0121] A computer program product includes 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 to implement a series of predefined steps or operations. The program product may be stored in various forms of computer storage media, such as memory, hard disk, solid-state drive, optical disk or other forms of digital storage devices. It may exist in the form of compiled binary code or in the form of scripts or bytecodes that can be executed by an interpreter. The program product uses carefully designed algorithms and logical instructions to enable the processor to process data in a specific order and manner to complete various functions such as data analysis, user interaction, device control, etc.
[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" etc. 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 representations 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 any one or more embodiments / methods or examples in a suitable manner. In addition, those skilled in the art may combine and combine the different embodiments / methods or examples described in this specification and the features of the different embodiments / methods or examples, unless they are contradictory.
[0123] In addition, the terms "first" and "second" are used for descriptive purposes only and should not be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features. Therefore, the features defined as "first" and "second" may explicitly or implicitly include at least one of the features. In the description of this application, the meaning of "plurality" is at least two, such as two, three, etc., unless otherwise clearly and specifically defined.
[0124] It should be understood by those skilled in the art that the above embodiments are only for the purpose of clearly illustrating the present invention, 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 annular prestressed steel strands are arranged around the trough body (1), and include parallel parts and mesh parts; The parallel portion is arranged 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 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 alternating manner to form a mesh structure.
2. A U-shaped aqueduct according to claim 1, characterized in that: 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.
3. A new 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 as claimed in claim 1 or 2, the arrangement method comprises: Based on the structural form and stress characteristics of the tank body, a full-scale finite element model is established to conduct stress simulation analysis on the tank body in a non-prestressed state; According to the simulation analysis results, the areas in the tank body where the shear stress or the principal tensile stress is greater than the set threshold are determined and marked as weak parts of the tank body, and the remaining areas are non-weak parts; Based on the geometric characteristics of the trough and the distribution of weak parts, the layout of the hoop prestressed steel strands is parameterized to obtain the layout parameters. Based on the full-scale finite element model obtained by 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 annular prestressed steel strands is iteratively updated until the design requirements are met.
4. A new method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 3, characterized in that: The arrangement of the annular prestressed steel strands is as follows: a plurality of parallel steel strands are arranged at the non-weak parts of the trough; a plurality of first inclined steel strands and second inclined steel strands are arranged at the weak parts of the trough.
5. A new method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 4, 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 inclined strands 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.
6. A new method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 5, characterized in that: The method for obtaining the layout parameters includes: Establish a unified coordinate system in the three-dimensional space where the prestressed steel strands and the aqueduct are located; 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: The position equation in the reverse trough direction: Straight section: Left side (-(R + Δr), y i , z ro ), (-(R + Δr), y i , z ro + f); Reverse to the right ((R+Δr), y i -b×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 tendon, y i0 is the coordinate value of the starting point of the left steel bundle along the channel; R is the inner diameter of the aqueduct; Δr is the distance between the steel bundle 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 cross-stranded wires; Δy is the spacing of the annular 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 joint solution.
7. A new method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 5, characterized in that: Methods for iterative optimization of layout parameters include: Initially set the layout parameters, including the spacing parameters, angle parameters and space coordinate parameters of the steel strands; Use finite element simulation to analyze the stress distribution of weak parts and determine whether it meets the preset design requirements; If the simulation results do not meet the requirements, adjust the following layout parameters: increase or decrease the staggered spacing between the first inclined steel strand and the second inclined steel strand; adjust the fixed spacing between the first inclined steel strand and the second inclined steel strand; adjust the angle between the first inclined steel strand and the second inclined steel strand and the cross section of the trough; modify the spacing and distribution range of parallel steel strands; Re-simulate and analyze according to the adjusted layout parameters until the stress distribution in both weak and non-weak locations meets the design requirements.
8. A new method for arranging annular prestressed steel strands for a U-shaped aqueduct according to claim 7, characterized in that: Arrangement methods include: The layout parameters of the aqueduct annular prestressed steel strands, including spacing parameters, angle parameters and space coordinate parameters, are converted into code form for expression; Connect the layout parameters in code form with the drawing software to generate a three-dimensional layout diagram of the hoop prestressed steel strands; The three-dimensional layout drawing is imported into the finite element model to obtain the finite element model of the completed steel strand layout.
9. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, a new method for arranging annular prestressed steel strands for a U-shaped aqueduct as described in any one of claims 3-8 is implemented.
10. A computer program product comprising a computer program / instructions, characterized in that When the computer program / instruction is executed by a processor, a new method for arranging annular prestressed steel strands of a U-shaped aqueduct as described in any one of claims 3-8 is implemented.
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