Method and system for determining cable tensioning construction scheme of spoke type string structure

Abstract

The invention discloses a method and system for determining a cable tensioning construction scheme of a spoke type string structure, and the method comprises the steps: building an overall analysis model through ANAYS for the tensioning construction scheme of the spoke type string structure, and carrying out the parameterization of different tensioning schemes through compiling an ANSYS parameterization design language on this basis, batch circulation calculation is carried out in the tensioning process, and the calculation efficiency is high; and meanwhile, the advantages and disadvantages of different construction schemes can be quickly evaluated by comparing the response change rate of the structure in the tensioning construction process, so that the batch tensioning scheme of the spoke type string structure can be quickly determined.

Description

Technical Field

[0001] The invention belongs to the technical field of cable construction, and in particular relates to a method for determining a cable tensioning construction scheme for a spoke-type string-tensioned structure. Background Art

[0002] In the construction of large-scale spatial structures such as stadiums and transportation hubs, a spoke-type structure is often used as the structural form of their roof. The spoke-type structure usually uses a middle rigid ring as the core support point of the structure, with a compression ring set on the periphery. The beams or trusses are arranged radially with the middle rigid ring and the outer compression ring as the boundary. In order to achieve large-span space coverage, the beams or trusses often adopt a string structure, which significantly improves the overall stiffness through the pre-tensioning of the cables, forming a spoke-type string structure. This system is generally symmetrical in form, with the characteristics of efficient force and free form. It is especially suitable for large-space buildings such as stadiums and terminal buildings, but the prestressing process needs to be precisely controlled during construction to ensure the stability of the structure and the final formed state.

[0003] For the tensioning construction of the cable-string structure, the subsequent tensioning step will affect the internal force of the cable that has been tensioned in the previous step. Therefore, in order to ensure the accuracy of the construction, it is necessary to determine the cable tensioning construction plan and the construction tensioning control values ​​of each cable in different construction stages in advance through analysis, so that after tensioning according to the control value, the final prestress of the cable can reach or be close to the prestressing design value.

[0004] At present, the process of determining the cable tensioning construction plan for spoke-type cable-tensioned structures is highly dependent on manual labor, and requires continuous analysis and trial calculations to determine the tensioning amounts at different stages, which requires a lot of calculations.

[0005] Therefore, how to effectively improve the efficiency of formulating cable tensioning construction plans is an urgent problem to be solved in this field. Summary of the Invention

[0006] In view of the problems existing in the existing method of mainly relying on manual labor to determine the cable tensioning construction plan of the spoke-type string-tensioned structure, the present invention aims to provide a solution for determining the cable tensioning construction plan of the spoke-type string-tensioned structure, so as to improve the efficiency of formulating the cable tensioning construction plan.

[0007] In order to achieve the above-mentioned object, the present invention provides a method for determining a cable tensioning construction plan for a spoke-type string-tensioned structure, the method comprising:

[0008] (1) Obtain the number m of spoke-type tensioned cables to be constructed, where all cables are tensioned on one side;

[0009] (2) Construct a tensioning scheme, which includes tensioning batches a formed by dividing all cables to be tensioned and a tensioning mode for each batch. The tensioning mode for each batch includes first performing the initial tensioning of the cables, and then tensioning the cables in sequence according to n+1 levels to the prestressed design value. In the initial tensioning stage, different cables are tensioned to F0. After tensioning at each level, the cable force expected to be achieved by the i-th cable is F0, f1×P i,0 , f2×P i,0 ...f n ×P i,0 , P i,0 is the prestress design value of the i-th cable, f n It is the percentage of the prestressing design value expected to be achieved during the n+1 level tensioning;

[0010] (3) For the tensioning scheme constructed in step (2), an analytical model of the spoke-type tensioned cable structure in the zero stress state is established using ANAYS. The analytical model is configured to perform cyclic nonlinear solutions to determine the tensioning control force of each batch of cables at different tensioning levels. It is required that the cable force error is no greater than R at each tensioning level.

[0011] (4) Based on the established analysis model, the initial strain value of each cable is determined as ε i =F0 / EA i (i=1,2,……m), where E is the elastic modulus of the cable, A i is the cross-sectional area of ​​each cable, and the initial tensioning is simulated based on it;

[0012] (5) Then, the first tensioning cycle of the second stage tensioning is carried out (k=1): the initial tensioning strain value of all cables is determined to be ε i (k) = P i (k) / EA i , where the initial tension force P i (k) = f1 × P i,0 ;

[0013] Simulate the tensioning of the first batch of cables and obtain the cable force of each cable in the first batch

[0014] Then simulate the tensioning of the second batch of cables and obtain the cable force of each cable in the second batch of cables ...tension the first batch of cables and obtain the cable force in each cable

[0015] (6) Calculate the cable force of each cable obtained in step (5) With the tension target P of this level i Difference and error of (k):

[0016] Difference: ΔFi (k) = f × P i,0 -F j k,a (j=1,2...a); error: error=max{abs(ΔF i (k) / P i (k))};

[0017] If error=max{abs(ΔF i (k) / P i (k))} is less than R, then proceed to the next level of tensioning, otherwise proceed to the next step;

[0018] (7) The next tensioning cycle of the second stage tensioning (k = k + 1) is carried out, and the tensioning strain correction coefficient M is introduced. i To correct the initial tension strain value of each cable:

[0019] Correct the initial tension strain of all cables to ε i (k)=(P i (k-1)+M i ΔF i (k-1)) / EA i ,in M i is the tensile strain correction factor;

[0020] (8) Repeat steps (4) to (7) until error i Less than R, determine ε at this time i (k) The corresponding tensile force, i.e., ε i (k)EA i The tension control force corresponding to different batches of cables under the tensioning condition of this level is saved, and the response of the structure after tensioning of different batches under this level of tensioning is saved for real-time control during tensioning construction.

[0021] (9) Repeat steps (4) to (8) until the tensioning process simulation of the n+1th level tensioning is completed;

[0022] (10) Construct different feasible construction plans, repeat steps (2) to (9), and finally compare the advantages and disadvantages of different construction plans by comparing the response change rate of the structure during the tensioning construction process to determine the final construction plan.

[0023] Furthermore, in the tensioning scheme constructed in step (2), cables of the same batch are tensioned simultaneously in different stages of tensioning construction.

[0024] Furthermore, in step (2), all cables to be tensioned are divided by the following method:

[0025] (2-1) According to symmetry, take 1 / 4 of the structure as the analysis object. When the cable is located on the symmetry line, take it out for analysis simultaneously.

[0026] (2-2) Count the number of cables in step (2-1), denoted as s;

[0027] (2-3) If s is an odd number, let h = s-1; if s is an even number, let h = s;

[0028] (2-4) Find the integer {a1, a2...a z}, where {a1, a2...a z}excluding 1 and h;

[0029] (2-5) According to the actual construction conditions, select any a∈{a1, a2…a z}, divide the cables in step (2-1) into group a;

[0030] (2-6) According to symmetry, the ropes that are symmetrical to the same group of ropes in step (2-5) are divided into a batch.

[0031] Furthermore, the cable tensioning construction plan determination method also includes a construction monitoring plan formulation step, in which a construction monitoring plan is formulated by simulating the response changes of the structure during the tensioning process under the tensioning construction plan selected in step (10).

[0032] In order to achieve the above-mentioned object, the present invention provides a system for determining a cable tensioning construction plan for a spoke-type string-tensioned structure, comprising:

[0033] A spoke-type string-type structure design data acquisition unit is configured to acquire the number m of spoke-type string-type structure cables to be constructed and to construct a tensioning scheme, wherein the constructed tensioning scheme includes tensioning batches a formed by dividing all cables to be tensioned and a tensioning mode for each batch, wherein the tensioning mode for each batch includes first performing an initial tensioning of the cables, and then tensioning the cables in sequence according to n+1 levels to a prestressed design value, wherein in the initial tensioning stage, different cables are tensioned to F0, and after tensioning each level, the cable force expected to be achieved by the i-th cable is F0, f1×P i,0 , f2×P i,0 ...f n ×P i,0 , P i,0 is the prestress design value of the i-th cable, f n It is the percentage of the prestressing design value expected to be achieved during the n+1 level tensioning;

[0034] An analysis model building unit, wherein the analysis model building unit uses ANAYS to build an analysis model of the spoke-type cable-stayed structure in a zero-stress state based on the tensioning scheme constructed by the spoke-type cable-stayed structure design data acquisition unit. The analysis model is configured to perform a cyclic nonlinear solution to determine the tensioning control force of each batch of cables at different tensioning levels, requiring that the cable force error at each tensioning level be no greater than R;

[0035] a tension simulation unit, wherein the tension simulation unit simulates the tensioning construction process of different tensioning batches from initial tensioning to n+1th level tensioning for the tensioning scheme based on the analysis model established by the analysis model establishment unit, and obtains the response of the structure during the tensioning construction process under the tensioning scheme;

[0036] A construction scheme determination unit is configured to determine a final construction scheme by comparing the response change rates of the structure during the tensioning construction process of different feasible construction schemes based on the structural responses during the tensioning construction process obtained by the tensioning simulation unit for different feasible construction schemes.

[0037] Furthermore, in the tensioning scheme constructed in the spoke-type cable-tensioned structure design data acquisition unit, cables of the same batch are tensioned simultaneously in different stages of tensioning construction.

[0038] Furthermore, the spoke-type cable-tensioned structure design data acquisition unit divides all cables to be tensioned by the following method:

[0039] (2-1) According to symmetry, take 1 / 4 of the structure as the analysis object. When the cable is located on the symmetry line, take it out for analysis simultaneously.

[0040] (2-2) Count the number of cables in step (2-1), denoted as s;

[0041] (2-3) If s is an odd number, let h = s-1; if s is an even number, let h = s;

[0042] (2-4) Find the integer {a1, a2...a z}, where {a1, a2...a z}excluding 1 and h;

[0043] (2-5) According to the actual construction conditions, select any a∈{a1, a 2…… a z}, divide the cables in step (2-1) into group a;

[0044] (2-6) According to symmetry, the ropes that are symmetrical to the same group of ropes in step (2-5) are divided into a batch.

[0045] Furthermore, the cable tensioning construction plan determination system also includes a construction monitoring plan formulation unit, which formulates a construction monitoring plan based on the simulated response changes of the structure during the tensioning process under the tensioning construction plan selected by the construction plan determination unit.

[0046] Compared with the prior art, the solution provided by the present invention has the following beneficial effects:

[0047] 1) The solution of the present invention can quickly determine the batch tensioning plan of the spoke-type string structure;

[0048] 2) The present invention utilizes ANAYS to establish an overall analysis model, which can take into account the mutual influence between the cables of the spoke-type cable-stayed structure and the nonlinearity of the structure, thereby ensuring more accurate simulation results.

[0049] 3) The solution of the present invention effectively implements parameterization of different tensioning schemes based on the ANSYS parametric design language and performs batch cyclic calculations of the tensioning process, which has high computational efficiency. At the same time, the advantages and disadvantages of different construction schemes can be quickly evaluated by comparing the response change rate of the structure during the tensioning construction process.

[0050] 4) The present invention introduces a variable tensile strain correction coefficient M i , can speed up the convergence speed according to the difference between the current cable force and the target cable force; when the difference between the current cable force and the target cable force is large, M i Close to 2, when the difference between the current cable force and the target cable force is small, M i Close to 1. BRIEF DESCRIPTION OF THE DRAWINGS

[0051] The present invention is further described below with reference to the accompanying drawings and specific embodiments.

[0052] Figure 1 A flow chart for determining the cable tensioning construction scheme for the spoke-type string structure of the present invention;

[0053] Figure 2 This is a schematic diagram of the spoke-type string-tensioned structure in an example of the present invention;

[0054] Figure 3 This is an example diagram of cable tensioning batch division analysis in Example 1 of the present invention;

[0055] Figure 4 This is an example diagram of the cable tensioning batch division results in Example 1 of the present invention;

[0056] Figure 5 This is an example diagram of cable tensioning batch division analysis in Example 2 of the present invention;

[0057] Figure 6This is an example diagram of the cable tensioning batch division results in Example 2 of the present invention. DETAILED DESCRIPTION

[0058] In order to make the technical means, creative features, objectives and effects achieved by the present invention easier to understand, the present invention is further described below with reference to specific illustrations.

[0059] In order to further improve the efficiency of formulating cable tensioning construction plans, the present invention proposes a method for determining the cable tensioning construction plan of a spoke-type string-tensioned structure. This method uses ANAYS to establish an overall analysis model for the tensioning construction plan of the spoke-type string-tensioned structure. On this basis, different tensioning plans are parameterized by compiling the ANSYS parametric design language, and batch cyclic calculations of the tensioning process are performed with high calculation efficiency. At the same time, the advantages and disadvantages of different construction plans can be quickly evaluated by comparing the response change rate of the structure during the tensioning construction process, thereby realizing the rapid determination of batch tensioning plans for the spoke-type string-tensioned structure.

[0060] See also Figure 1 The present invention provides a fast and effective method for determining a construction plan for tensioning a spoke-type cable-string structure, which specifically includes the following steps:

[0061] (1) First, determine the number of spoke-type tensioned cables to be constructed, which is m. To reduce the amount of tensioning work, all cables are tensioned on one side; preferably, unless there are special circumstances, they are tensioned on one side of the outer ring beam.

[0062] (2) Constructing a tensioning scheme, which includes tensioning batches a formed by dividing all cables to be tensioned and the tensioning mode of each batch.

[0063] Here, all cables to be tensioned in the structure are divided into a batches according to symmetry. Cables in the same batch are tensioned simultaneously at different stages of the tensioning construction. This not only ensures the stability and reliability of the tensioning results, but also saves construction equipment and labor.

[0064] For each batch of tensioning, the cable is first tensioned, and then tensioned to the prestress design value in n times. Including the initial tensioning, the entire tensioning construction is divided into n+1 levels. It is assumed that different cables are tensioned to F0 in the initial tensioning stage. The expected cable force of the i-th cable after tensioning at each level is F0, f1×P i,0 , f2×P i,0 ...f n ×P i,0 , P i,0 is the prestress design value of the i-th cable, f n It is the percentage of the prestress design value expected to be achieved during tensioning at the n+1th level.

[0065] (3) According to the design data of the spoke-type tensioned structure, the finite element software ANAYS was used to establish an analytical model of the spoke-type tensioned structure under zero stress state, and the strain setting method was used to simulate the tensioning process.

[0066] In this step, the ANSYS parametric design language (APDL language) is further compiled to simulate the stress state of the structure after the cables are tensioned in batches and grades. Specifically, a cyclic nonlinear solution is performed to determine the tensioning control force of each batch of cables at different tensioning levels. It is required that the cable force error is no more than R at each tensioning level.

[0067] The compilation logic of ANSYS parametric design language in this step includes:

[0068] (3-1) Determine the initial strain value of each cable as ε i =F0 / EA i (i=1,2,……m), simulate the initial tension by nonlinear solution, where E is the elastic modulus of the cable, A i is the cross-sectional area of ​​each cable;

[0069] (3-2) Then the first tensioning cycle of the second stage tensioning is carried out (k=1): Here the initial tensioning strain of all cables is determined to be ε i (k) = P i (k) / EA i , where P i (k) = f1 × P i,0 ;

[0070] On this basis, the tension of each cable in the first batch is simulated by nonlinear solution.

[0071] Then simulate the tensioning of the second batch of cables and obtain the cable force of each cable in the second batch of cables ...tension the first batch of cables and obtain the cable force in each cable

[0072] (3-3) Calculate the cable force of each cable With the tension target P of this level i Difference and error of (k):

[0073] Among them, the difference: ΔF i (k) = f × P i,0 -F j k,a (j=1,2...a);

[0074] Error: error=max{abs(ΔF i (k) / Pi (k))};

[0075] Then, the calculated error value is compared with the set cable force error threshold R: if error = max{abs(ΔF i (k) / P i (k))} is less than R, then proceed to the next level of tensioning, otherwise proceed to the next step;

[0076] Based on the above steps, the solution of the present invention is achieved by clarifying a set of preliminary cable tensioning conditions, calculating the cable tension of the structure after the construction of the group is completed, and comparing the actual cable tension with the set cable tension, obtaining the difference between the two and comparing it with the error threshold R, evaluating the effect of the preliminary cable tensioning conditions on achieving the set cable tension. If it is less than the threshold R, it means that the preliminary cable tensioning conditions are effective. If it is greater than the threshold R, it means that the preliminary cable tensioning conditions need to be adjusted, and the adjustment method is step (3-4).

[0077] (3-4) Carry out the next tensioning cycle of the second stage tensioning (k=k+1), and introduce the tensioning strain correction coefficient M i To correct the initial tension strain value of each cable:

[0078] In this step, firstly based on the tensile strain correction coefficient M i To correct the initial tension strain value of each cable:

[0079] Correct the tension strain of all cables to ε i (k)=(P i (k-1)+M i ΔF i (k-1)) / EA i ,in M i is the tensile strain correction factor.

[0080] On this basis, we further simulate the tensioning of the first batch of cables (nonlinear solution) to obtain the cable force of each cable in the first batch.

[0081] Then simulate the tensioning of the second batch of cables and obtain the cable force of each cable in the second batch of cables ...tension the first batch of cables and obtain the cable force in each cable

[0082] Based on the above steps, the solution of the present invention adjusts the initial cable tensioning conditions to ensure that after this tensioning step, the difference between the cable force of the structure and the preset cable force is within the allowable range, thereby effectively realizing iterative optimization of the tensioning control.

[0083] Furthermore, in this step, by introducing a variable tensile strain correction coefficient Mi , can speed up the convergence speed according to the difference between the current cable force and the target cable force; when the difference between the current cable force and the target cable force is large, M i Close to 2, when the difference between the current cable force and the target cable force is small, M i Close to 1

[0084] (3-5) Repeat steps (3-1) to (3-4) until error i Less than R, then ε i (k) The corresponding tensile force, i.e., ε i (k)EA i It is the tensioning control force corresponding to different batches of cables under the tensioning working condition of this level; at the same time, it saves the response of the structure (such as stress, displacement, and cable force) after the tensioning of different tensioning batches is completed under this level of tensioning, which is used for real-time control during tensioning construction.

[0085] (3-6) According to the second-level tensioning simulation method and principle, repeat steps (3-1) to (3-5) until the tensioning process simulation of the n+1th level tensioning is completed.

[0086] (4) Formulate different feasible construction plans, repeat steps (2) to (3), and finally compare the advantages and disadvantages of different construction plans by comparing the response change rate of the structure during the tensioning construction process to determine the final construction plan.

[0087] In this step, different feasible construction plans can be formulated by adjusting the tensioning batch a and the cables to be tensioned in each batch, and / or adjusting the number of times n that the cables are tensioned in each batch.

[0088] (5) According to the selected tensioning construction scheme, the changes in the structural response (such as stress, displacement, and cable force) during the tensioning process are simulated, and a reasonable construction monitoring plan is formulated. By comparing the actual values ​​with the simulated values, reasonable control of the tensioning construction is achieved.

[0089] For example, the construction monitoring plan formulated in this step includes arranging monitoring points at locations with large stress, displacement, and cable force responses.

[0090] In this step, when achieving reasonable control of the tensioning construction, the actual response (such as stress, displacement, and cable force) monitored during construction can be compared with the response obtained by simulation. For each tensioning working condition, the actual response is controlled to be basically the same as the response obtained by simulation.

[0091] As a further supplementary explanation, the following methods can be used to divide the index in step 2 of this method:

[0092] (2-1) According to symmetry, take 1 / 4 of the structure as the analysis object. When the cable is located on the symmetry line, take it out for analysis simultaneously.

[0093] (2-2) Count the number of cables in step (2-1), denoted as s;

[0094] (2-3) If s is an odd number, let h = s-1; if s is an even number, let h = s;

[0095] (2-4) Find the integer {a1, a2...a z}, where {a1, a2...a z}excluding 1 and h;

[0096] (2-5) According to the actual construction conditions, select any a∈{a1, a2…a z}, divide the cables in step (2-1) into group a;

[0097] (2-6) According to symmetry, the ropes that are symmetrical to the same group of ropes in step (2-5) are divided into a batch.

[0098] Based on this step, the batches of the search can be quickly divided to ensure the efficiency of the implementation of the entire plan.

[0099] The method for determining a cable tensioning construction plan for a spoke-type cable-string structure provided in this invention can, in specific applications, be implemented as a corresponding software program, forming a corresponding system for determining a cable tensioning construction plan for a spoke-type cable-string structure. When executed, this software program will execute the method for determining a cable tensioning construction plan for a spoke-type cable-string structure and store the data in a corresponding storage medium for access and execution by a processor.

[0100] The resulting system for determining the cable tensioning construction plan for the spoke-type cable-tensioned structure mainly includes the following functions: a spoke-type cable-tensioned structure design data acquisition unit, an analysis model establishment unit, a tensioning simulation unit, a construction plan determination unit, and a construction monitoring plan formulation unit.

[0101] The spoke-type string structure design data acquisition unit in this system is configured to acquire the number m of spoke-type string structure cables to be constructed and to construct a tensioning scheme. The tensioning scheme constructed includes tensioning batches a formed by dividing all cables to be tensioned and a tensioning mode for each batch. The tensioning mode for each batch includes first performing an initial tensioning of the cables, and then tensioning the cables in sequence to the prestressed design value according to n+1 levels. In the initial tensioning stage, all cables are tensioned to F0. After tensioning at each level, the expected cable force of the i-th cable is F0, f1×P i,0 , f2×P i,0 ...f n ×P i,0 , P i,0 is the prestress design value of the i-th cable, f nIt is the percentage of the prestress design value expected to be achieved during tensioning at the n+1th level.

[0102] As a further explanation, in the tensioning scheme constructed in the design data acquisition unit of the spoke-type cable-tensioned structure of this vehicle, all cables to be tensioned in the structure are divided into a batches according to symmetry, and the cables in the same batch are tensioned simultaneously in different stages of the tensioning construction.

[0103] As a further explanation, in the data acquisition unit for the design of the spoke-type cable-stayed structure, all cables to be tensioned are divided using the following method:

[0104] (2-1) According to symmetry, take 1 / 4 of the structure as the analysis object. When the cable is located on the symmetry line, take it out for analysis simultaneously.

[0105] (2-2) Count the number of cables in step (2-1), denoted as s;

[0106] (2-3) If s is an odd number, let h = s-1; if s is an even number, let h = s;

[0107] (2-4) Find the integer {a1, a1} that can divide h 2…… a z}, where {a1, a 2…… a z}excluding 1 and h;

[0108] (2-5) According to the actual construction conditions, select any a∈{a1, a 2…… a z}, divide the cables in step (2-1) into group a;

[0109] (2-6) According to symmetry, the ropes that are symmetrical to the same group of ropes in step (2-5) are divided into a batch.

[0110] The analysis model construction unit in this system is based on the tensioning scheme constructed by the spoke-type cable-stayed structure design data acquisition unit, and uses ANAYS to establish an analysis model of the spoke-type cable-stayed structure under zero stress state. The analysis model is configured to perform cyclic nonlinear solutions to determine the tensioning control force of each batch of cables at different tensioning levels, requiring that the cable force error be no greater than R at each tensioning level.

[0111] The simulation tensioning unit in this system is based on the analysis model established by the analysis model establishment unit. It simulates the tensioning construction process of different tensioning batches from initial tensioning to n+1th level tensioning for the construction tensioning scheme, and obtains the response of the structure during the tensioning construction process under the construction tensioning scheme.

[0112] Furthermore, this simulation tensioning unit is specifically configured to simulate the tensioning construction process of different tensioning batches from initial tensioning to n+1th level tensioning for constructing a tensioning scheme by executing the aforementioned steps (3-1) to (3-6), and obtain the response of the structure during the tensioning construction process under the constructed tensioning scheme.

[0113] The construction scheme determination unit in this system determines the final construction scheme by comparing the response change rate of the structure during the tensioning construction process of different feasible construction schemes based on the structural response during the tensioning construction process obtained by the simulation tensioning unit for different feasible construction schemes.

[0114] The construction monitoring plan formulation unit in this system formulates a construction monitoring plan based on the simulated response changes of the structure during the tensioning process under the tensioning construction plan selected by the construction plan determination unit.

[0115] The following further illustrates the implementation process of the method for determining the cable tensioning construction plan for the spoke-type string structure provided by the present invention through specific application examples.

[0116] Example 1

[0117] See also Figure 2 , which shows a schematic diagram of the composition of the radial string structure targeted in this example.

[0118] Based on the diagram, the spoke-type tensioned structure 1 is mainly composed of an outer ring beam 2, an intermediate rigid ring 3, a cable tensioning end 4, and a cable fixed end 5; wherein, the tensioned structure is mainly composed of a cable structure 1-1, a vertical strut 1-2, and an upper chord rigid member 1-3.

[0119] Therefore, the process of determining the cable tensioning construction scheme of the spoke-type string structure based on the scheme provided by the present invention is as follows:

[0120] (1) Targeting Figure 2 The spoke-type tensioned structure to be constructed is shown in FIG. 1. The number of cables is determined to be 12. In order to reduce the tensioning construction workload, all cables are tensioned on one side. Unless otherwise specified, they are tensioned on one side of the outer ring beam.

[0121] (2) All cables to be tensioned are divided into tensioning batches through the following steps:

[0122] 2-1) According to symmetry, take 1 / 4 structure as the analysis object. When the cable is located on the symmetry line, take it out for analysis simultaneously. Figure 3 As shown;

[0123] 2-2) Count the number of strings in 2-1), denoted as s = 4;

[0124] 2-3) s is an even number, so let h = s = 4;

[0125] 2-4) Find an integer {2} that divides h = 4;

[0126] 2-5) According to the actual construction conditions, take a = 2 and divide the cables in 2-1) into 2 groups;

[0127] 2-6) According to symmetry, the cables that are symmetrical to the same group of cables in 2-5) are divided into a batch, as follows: Figure 4 shown.

[0128] (3) According to the initial tensioning of the cable first, and then the cable is tensioned to the prestress design value in three steps, including the initial tensioning, the entire tensioning construction can be divided into four levels. It is assumed that different cables are tensioned to 10kN in the initial tensioning stage. After tensioning at each level, the expected cable force of the i-th cable is 10kN, 50% P i,0 , 75%P i,0 , 105% P i,0 , P i,0 is the design value of the prestress of the i-th cable.

[0129] (4) Based on the design data of the spoke-type tensioned cable structure to be constructed, the finite element software ANAYS is used to establish an analytical model of the spoke-type tensioned cable structure in a zero stress state, and the strain setting method is used to simulate the tensioning process; and further by compiling the ANSYS parametric design language (APDL language), a cyclic nonlinear solution is performed to determine the tensioning control force of each batch of cables under different tensioning levels, requiring that the cable force error under each tensioning level is no more than 5%.

[0130] In this step, the ANSYS parametric design language is compiled to form a strain logic equation that simulates the tensioning construction process of different tensioning batches from initial tensioning to the n+1th level tensioning. A cyclic nonlinear solution is then performed to determine the tensioning control force of each batch of cables at different tensioning levels. The process is as follows:

[0131] (4-1) Set the initial strain value of each cable to ε i =10kN / EA i (i=1,2,……12), perform initial tensioning (nonlinear solution), where E is the elastic modulus of the cable, A i is the cross-sectional area of ​​each cable;

[0132] (4-2) The first tensioning cycle of the second stage tensioning (k = 1): First, the initial tensioning strain of all cables is set to ε i (k) = P i (k) / EA i , where P i (k) = 50% P i,0 ;

[0133] Next, simulate the tensioning of the first batch of cables (nonlinear solution) and obtain the cable force of each cable in the first batch of cables.

[0134] Furthermore, the tensioning of the second batch of cables is simulated (nonlinear solution) to obtain the cable force of each cable in the second batch of cables. ...tension the first batch of cables and obtain the cable force in each cable

[0135] (4-3) The calculated cable force of each cable With the tension target P of this level i Difference (k): ΔF i (k) = 50% × P i,0 -F j k,a (j=1,2...a);

[0136] Then calculate the error based on the difference: error = max{abs(ΔF i (k) / P i (k))};

[0137] The calculated error value is then compared with the set cable force error threshold of 5%: If error = max{abs(ΔF i (k) / P i (k))} is less than 5%, then proceed to the next level of tensioning, otherwise proceed to the next step;

[0138] (4-4) Carry out the next tensioning cycle of the second stage tensioning (k=k+1), and introduce the tensioning strain correction coefficient M i To correct the initial tension strain value of each cable:

[0139] In this step, the tension strain of all cables is corrected to ε i (k)=(P i (k-1)+M i ΔF i (k-1)) / EA i ,in M i is the tensile strain correction factor;

[0140] On this basis, we further simulate the tensioning of the first batch of cables (nonlinear solution) to obtain the cable force of each cable in the first batch.

[0141] Then simulate the tensioning of the second batch of cables and obtain the cable force of each cable in the second batch of cables ...tension the first batch of cables and obtain the cable force in each cable

[0142] (4-5) Repeat steps (4-3) and (4-4) until error i Less than 5%, at this time, ε i (k) The corresponding tensile force, i.e., ε i (k)EA i It is the tensioning control force corresponding to different batches of cables under the tensioning working condition of this level; at the same time, it saves the response of the structure (such as stress, displacement, and cable force) after the tensioning of different tensioning batches is completed under this level of tensioning, which is used for real-time control during tensioning construction.

[0143] (4-6) Repeat steps (4-2) to (4-5) according to the second-level tensioning simulation method and principle until the fourth-level tensioning process simulation is completed.

[0144] (5) According to the changes in the structural response (such as stress, displacement, and cable force) during the tensioning process obtained by simulation, a reasonable construction monitoring plan is formulated, and by comparing the actual values ​​with the simulated values, reasonable control of the tensioning construction is achieved.

[0145] Example 2

[0146] The basic implementation process in this example is the same as that in Example 1, except that the synchronization is divided into batches.

[0147] First, see Figure 5 In this example, for the spoke-type tensioned structure to be constructed, the number of cables is determined to be 16. In order to reduce the tensioning construction workload, all cables are tensioned on one side. Unless otherwise specified, they are tensioned on one side of the outer ring beam.

[0148] On this basis, all cables to be tensioned are divided into tensioning batches through the following steps:

[0149] 2-1) According to symmetry, take 1 / 4 structure as the analysis object. When the cable is located on the symmetry line, take it out for analysis simultaneously. Figure 5 As shown;

[0150] 2-2) Count the number of strings in 2-1), denoted as s = 5;

[0151] 2-3) s is an odd number, so h = s - 1 = 4;

[0152] 2-4) Find an integer {2} that divides h = 4;

[0153] 2-5) According to the actual construction conditions, take a = 2 and divide the cables in 2-1) into 2 groups;

[0154] 2-6) According to symmetry, the cables that are symmetrical to the same group of cables in 2-5) are divided into a batch, as follows: Figure 6 shown.

[0155] The implementation process of the subsequent tensioning construction simulation is the same as that of Example 1 and will not be elaborated here.

[0156] As can be seen from the above example, this solution can quickly divide tensioning batches; the tensioning construction simulation can use ANSYS's APDL language to implement cyclic calculations, and the introduced tensioning strain correction coefficient M can speed up the simulation. The entire process does not require manual interaction and is convenient and fast.

[0157] In the above embodiments, the description of each embodiment has its own focus. For parts that are not described in detail in a certain embodiment, reference can be made to the relevant descriptions of other embodiments.

[0158] Those skilled in the art will clearly understand that, for the convenience and brevity of description, the specific working processes of the systems, devices and modules described above can refer to the corresponding processes in the aforementioned method embodiments and will not be repeated here.

[0159] It will be understood by those skilled in the art that embodiments of the present invention may be provided as methods, systems, or computer program products. Thus, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware. Furthermore, the present invention may take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to magnetic disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0160] The present invention is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products of the embodiments of the present invention. It should be understood that each process and / or block in the flowcharts and / or block diagrams, as well as the combination of processes and / or blocks in the flowcharts and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowcharts and / or block diagrams. Figure 1 a process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.

[0161] These computer program instructions may also be stored in a computer readable memory that can direct a computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 a process or multiple processes and / or boxes Figure 1 The function specified in one or more boxes.

[0162] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing the instructions executed on the computer or other programmable device for implementing the process. Figure 1 a process or multiple processes and / or boxes Figure 1 A step that specifies a function in one or more boxes.

[0163] The basic principles, main features, and advantages of the present invention are shown and described above. Those skilled in the art should understand that the present invention is not limited to the foregoing embodiments. The foregoing embodiments and descriptions are merely illustrative of the principles of the present invention. Various changes and modifications may be made to the present invention without departing from the spirit and scope of the present invention. Such changes and modifications are intended to fall within the scope of the present invention. The scope of protection claimed in the present invention is defined by the appended claims and their equivalents.

Claims

1. A method for determining a cable tensioning construction plan for a spoke-type string structure, characterized in that: The method comprises: (1) Obtain the number m of spoke-type tensioned cables to be constructed, where all cables are tensioned on one side; (2) Construct a tensioning scheme, which includes tensioning batches a formed by dividing all cables to be tensioned and a tensioning mode for each batch. The tensioning mode for each batch includes first performing the initial tensioning of the cables, and then tensioning the cables in sequence according to n+1 levels to the prestressed design value. In the initial tensioning stage, different cables are tensioned to F0. After tensioning at each level, the cable force expected to be achieved by the i-th cable is F0, f1×P i,0 , f2×P i,0 ...f n ×P i,0 , P i,0 is the prestress design value of the i-th cable, f n It is the percentage of the prestressing design value expected to be achieved during the n+1 level tensioning; (3) For the tensioning scheme constructed in step (2), an analytical model of the spoke-type tensioned cable structure in the zero stress state is established using ANAYS. The analytical model is configured to perform cyclic nonlinear solutions to determine the tensioning control force of each batch of cables at different tensioning levels. It is required that the cable force error is no greater than R at each tensioning level. (4) Based on the established analysis model, the initial strain value of each cable is determined as ε i =F0 / EA i (i=1,2,……m), where E is the elastic modulus of the cable, A i is the cross-sectional area of ​​each cable, and the initial tensioning is simulated based on it; (5) Then, the first tensioning cycle of the second stage tensioning is carried out (k=1): the initial tensioning strain value of all cables is determined to be ε i (k) = P i (k) / EA i , where the initial tension force P i (k) = f1 × P i,0 ; Simulate the tensioning of the first batch of cables and obtain the cable force of each cable in the first batch Then simulate the tensioning of the second batch of cables and obtain the cable force of each cable in the second batch of cables ...tension the first batch of cables and obtain the cable force in each cable (6) Calculate the cable force of each cable obtained in step (5) With the tension target P of this level i Difference and error of (k): Difference: ΔF i (k) = f × P i,0 -F j k,a (j=1,2...a); error: error=max{abs(ΔF i (k) / P i (k))}; If error=max{abs(ΔF i (k) / P i (k))} is less than R, then proceed to the next level of tensioning, otherwise proceed to the next step; (7) The next tensioning cycle of the second stage tensioning (k = k + 1) is carried out, and the tensioning strain correction coefficient M is introduced. i To correct the initial tension strain value of each cable: Correct the initial tension strain of all cables to ε i (k)=(P i (k-1)+M i ΔF i (k-1)) / EA i ,in M i is the tensile strain correction factor; (8) Repeat steps (4) to (7) until error i Less than R, determine ε at this time i (k) The corresponding tensile force, i.e., ε i (k)EA i The tension control force corresponding to different batches of cables under the tensioning condition of this level is saved, and the response of the structure after tensioning of different batches is completed under the tensioning condition of this level is saved for real-time control during tensioning construction. (9) Repeat steps (4) to (8) until the tensioning process simulation of the n+1th level tensioning is completed; (10) Construct different feasible construction plans, repeat steps (2) to (9), and finally compare the advantages and disadvantages of different construction plans by comparing the response change rate of the structure during the tensioning construction process to determine the final construction plan.

2. The method for determining a cable tensioning construction plan for a spoke-type string structure according to claim 1, characterized in that: In the tensioning scheme constructed in step (2), cables of the same batch are tensioned simultaneously in different stages of tensioning construction.

3. The method for determining a cable tensioning construction plan for a spoke-type string structure according to claim 1, characterized in that: In step (2), all cables to be tensioned are divided by the following method: (2-1) According to symmetry, take 1 / 4 of the structure as the analysis object. When the cable is located on the symmetry line, take it out for analysis simultaneously. (2-2) Count the number of cables in step (2-1), denoted as s; (2-3) If s is an odd number, let h = s-1; if s is an even number, let h = s; (2-4) Find the integer {a1, a2...a z }, where {a1, a2...a z }excluding 1 and h; (2-5) According to the actual construction conditions, select any a∈{a1, a2…a z }, divide the cables in step (2-1) into group a; (2-6) According to symmetry, the ropes that are symmetrical to the same group of ropes in step (2-5) are divided into a batch.

4. The method for determining a cable tensioning construction plan for a spoke-type string structure according to claim 1, characterized in that: The cable tensioning construction plan determination method also includes a construction monitoring plan formulation step, in which a construction monitoring plan is formulated based on the simulated response changes of the structure during the tensioning process under the tensioning construction plan selected in step (10).

5. A cable tensioning construction plan determination system for a spoke-type string structure, characterized in that: include: A spoke-type string-type structure design data acquisition unit is configured to acquire the number m of spoke-type string-type structure cables to be constructed and to construct a tensioning scheme, wherein the constructed tensioning scheme includes tensioning batches a formed by dividing all cables to be tensioned and a tensioning mode for each batch, wherein the tensioning mode for each batch includes first performing an initial tensioning of the cables, and then tensioning the cables in sequence according to n+1 levels to a prestressed design value, wherein in the initial tensioning stage, different cables are tensioned to F0, and after tensioning each level, the cable force expected to be achieved by the i-th cable is F0, f1×P i,0 , f2×P i,0 ...f n ×P i,0 , P i,0 is the prestress design value of the i-th cable, f n It is the percentage of the prestressing design value expected to be achieved during the n+1 level tensioning; An analysis model building unit, wherein the analysis model building unit uses ANAYS to build an analysis model of the spoke-type cable-stayed structure in a zero-stress state based on the tensioning scheme constructed by the spoke-type cable-stayed structure design data acquisition unit. The analysis model is configured to perform a cyclic nonlinear solution to determine the tensioning control force of each batch of cables at different tensioning levels, requiring that the cable force error at each tensioning level be no greater than R; a tension simulation unit, wherein the tension simulation unit simulates the tensioning construction process of different tensioning batches from initial tensioning to n+1th level tensioning for the tensioning scheme based on the analysis model established by the analysis model establishment unit, and obtains the response of the structure during the tensioning construction process under the tensioning scheme; A construction scheme determination unit is configured to determine a final construction scheme by comparing the response change rates of the structure during the tensioning construction process of different feasible construction schemes based on the structural responses during the tensioning construction process obtained by the tensioning simulation unit for different feasible construction schemes.

6. The cable tensioning construction plan determination system for a spoke-type string structure according to claim 5, characterized in that: In the tensioning scheme constructed in the spoke-type cable-stayed structure design data acquisition unit, cables of the same batch are tensioned simultaneously in different stages of tensioning construction.

7. The cable tensioning construction plan determination system for a spoke-type string structure according to claim 5, characterized in that: In the spoke-type cable-stayed structure design data acquisition unit, all cables to be tensioned are divided using the following method: (2-1) According to symmetry, take 1 / 4 of the structure as the analysis object. When the cable is located on the symmetry line, take it out for analysis simultaneously. (2-2) Count the number of cables in step (2-1), denoted as s; (2-3) If s is an odd number, let h = s-1; if s is an even number, let h = s; (2-4) Find the integer {a1, a1} that can divide h 2…… a z }, where {a1, a 2…… a z }excluding 1 and h; (2-5) According to the actual construction conditions, select any a∈{a1, a 2…… a z }, divide the cables in step (2-1) into group a; (2-6) According to symmetry, the ropes that are symmetrical to the same group of ropes in step (2-5) are divided into a batch.

8. The cable tensioning construction plan determination system for a spoke-type string structure according to claim 5, characterized in that: The cable tensioning construction plan determination system also includes a construction monitoring plan formulation unit, which formulates a construction monitoring plan based on the simulated response changes of the structure during the tensioning process under the tensioning construction plan selected by the construction plan determination unit.

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