An analysis method for determining the length of a fixed-length cable structure and an external connection point position control index

Abstract

The application relates to an analysis method for determining the length of a fixed-length cable structure and an external connection point position control index. In the construction error analysis of the fixed-length cable structure, the relative error of adjacent points is included in addition to the cable length error and the external connection point position error. Finally, whether the maximum cable force deviation rate and the maximum position deviation meet the construction forming allowable shape deviation is judged to determine whether the set error control index can meet the construction forming allowable deviation requirement, so that more reasonable and comprehensive control indexes are provided for the construction of the fixed-length cable structure.

Description

TECHNICAL FIELD

[0001] The present application belongs to the technical field of civil engineering cable structure construction, and relates to an analysis method for determining cable length and external connection point position control indexes of fixed-length cable structure, in particular to an analysis method for determining construction control indexes of fixed-length cable structure by coupling cable length error, external connection point position error and relative error of adjacent point positions. BACKGROUND

[0002] Cable structure refers to a structure with cables as main force members, wherein the cables can be divided into fixed-length cables and adjustable cables according to whether the anchorage devices of the cables are provided with adjusting devices. Correspondingly, the cable structure can be divided into adjustable cable structure and fixed-length cable structure according to whether the cables in the cable structure are adjustable. Generally, the construction control indexes of the cable structure mainly include cable length error, external connection point position error and cable tension error, and the control target is that the cable force in the construction forming state meets the allowable deviation value. For the adjustable cable structure, since the adjusting amount of the anchorage device can reduce the cable length error and the external connection point position error, the main construction control index is the cable tension error; for the fixed-length cable structure, since the anchorage device has no adjusting amount, the main construction control indexes are the cable length error and the external connection point position error. The fixed-length cable structure has been widely applied due to its advantages of saving cable material, beautiful cable end and fast on-site construction, but it has higher requirements for the precision of structure design, component production and on-site construction, and needs to determine clear construction control indexes by random error analysis according to the specific engineering conditions to ensure that the construction forming state meets the target requirements.

[0003] In the past, the construction error analysis of the fixed-length cable structure only considered the cable length error and the external connection point position error, and the cable length error and the external connection point position error were both set as independent errors, that is, there is no correlation between the length errors of the cables and between the external connection point position errors. In the group cable structure, generally, the mutual influence of the cable forces is more obvious as the spatial distance is closer. In particular, the relative error of the adjacent point positions of the spoke-type dense cable structure has a greater influence on the cable force, and even is the main error control index. In addition, generally, the control target of the construction forming state only has the cable force deviation allowable value, and does not include the position deviation allowable value. In summary, the construction error analysis method of the traditional fixed-length cable structure only includes the cable length error and the external connection point position error, does not include the adjacent point position error, is only applicable to the fixed-length cable structure of general non-dense cable, and the construction error analysis effect is not good for the dense cable structure, and cannot meet the construction error analysis of all fixed-length cable structures.

[0004] Therefore, how to provide more reasonable and comprehensive control indexes for the construction of the fixed-length cable structure is a problem to be solved. SUMMARY

[0005] The present application provides an analysis method for determining cable length and external connection point position control indexes of fixed-length cable structure.

[0006] Traditional methods for analyzing construction errors in fixed-length cable structures only include cable length errors and external connection point errors. Furthermore, these methods assume that the errors of each cable length and external connection point are independent of each other, neglecting the relative errors of adjacent external connection points. Additionally, the construction state control objective only includes allowable values ​​for cable force deviation, omitting allowable values ​​for configuration deviation. However, in multi-cable structures, the mutual influence of cable forces generally becomes more pronounced with closer spatial distances. This is especially true for spoke-type dense cable structures, where the relative errors of adjacent points have a greater impact on cable force, even becoming the primary error control indicator. When considering the relative errors of adjacent points, the errors at each point are closely correlated, no longer independent errors. This invention, for the construction error analysis of fixed-length cable structures, includes not only cable length errors and external connection point errors but also the relative errors of adjacent points. Moreover, the construction state control objective includes requirements for both cable force and configuration, providing a more reasonable and comprehensive control index for the construction of fixed-length cable structures.

[0007] The objective of this invention can be achieved through the following technical solutions:

[0008] An analytical method for determining the cable length and external connection point control indicators of a fixed-length cable structure includes the following steps:

[0009] S1. Determine the number of external connection points k between the cable and the surrounding support structure; set the allowable deviation of the construction shape, i.e., the allowable deviation rate of cable force δFe and the allowable deviation of the position ΔUe; set the number of defect error working condition samples m and the guarantee rate of normal random distribution φ; set the initial error control indicators: i.e., the allowable value of cable length error Le, the allowable value of external connection point error Ce, and the allowable value of relative error of adjacent points Re.

[0010] S2. Form a sequence of external nodes [C1, C2, ..., C] according to spatial geometric adjacency. k ] and the corresponding cable sequence [L1,L2,...,L k The standard deviation σ of the cable length error sample is determined based on the guarantee rate φ of the normal random distribution and the error control index. L External location error sample standard deviation σ C σ, the sample standard deviation of the relative error of neighboring points R ;

[0011] S3. Randomly generate the cable length error sample matrix E based on the cable length error control index Le. L ,

[0012] S4. Randomly generate m error sample vectors for external nodes C1 based on the external point error control index Ce.

[0013] S5. In the j-th error condition, according to the external node Ci of And the relative error control index Re of adjacent points, generate external node C. i+1 of Where 1≤i≤k-1, 1≤j≤m;

[0014] S6. In the j-th error condition, check the first and last external nodes C1 and C2. k Does the relative error satisfy the proximity error control index Re, i.e. If the condition is not met, recalculate according to S5 until it is met, and finally obtain the error vector of the j-th error condition.

[0015] S7. Based on S5 and S6, the final external point error matrix E is formed, which includes m working conditions and k nodes. C ,

[0016] S8, the cable length error sample matrix E L With the external point error sample matrix E C By superimposing the samples, we obtain the total error sample matrix E. A ,

[0017] S9. Introduce the errors in the total error sample matrix into m error conditions of the defect-free structure for analysis, and obtain the maximum cable force deviation rate δF. max and the maximum cable net configuration deviation ΔU max ;

[0018] S10. Determine the maximum cable force deviation rate δF max and maximum configuration deviation ΔU max Does it meet the allowable shape deviation of the construction? If it does not meet the requirements, the error control index in S1 is readjusted and the calculation is repeated.

[0019] Furthermore, in S2, the sequence of outer nodes [C1, C2, ..., C] is formed based on spatial geometric adjacency relationships. k ] and the corresponding cable sequence [L1,L2,...,L k When starting from any external node, a sequence is formed sequentially in a counterclockwise or clockwise direction along the loop, with the beginning and end of the sequence forming a closed loop.

[0020] Furthermore, in S3, the cable length error sample matrix E is generated. L At that time, each cable length error sample is independent of the others, and their random error values ​​(i.e., cable length error samples) follow a normal distribution. Where 1 ≤ i ≤ k, 1 ≤ j ≤ m. When the error is randomly generated... When it is greater than +Le, then when If the error value is greater than +Ce, then

[0021] Further, in S4, the first out-of-link node C1 error sample vector is generated independently, and its random error value is subject to normal distribution When the randomly generated error is greater than +Ce, then = +Ce; when is less than -Ce, then

[0022] Further, in S5, when generating the error condition out-of-link node error vector step by step, in addition to the first node, the error between the subsequent adjacent nodes is not independent, but is jointly constituted by the previous node error and the relative error of adjacent nodes. In the jth error condition, when the previous node error is determined, the relative random error of adjacent nodes is generated according to the relative error control index Re of adjacent nodes The error value is subject to normal distribution When the randomly generated relative error is greater than +Re, then When is less than -Re, then

[0023] The jth error condition, the i+1th node error value When the generated error is greater than +Ce, then When is less than -Ce, then

[0024] Further, the maximum cable force deviation rate δF max and the maximum cable net shape deviation ΔU max are the maximum values of the normal distribution guarantee rate φ based on the statistical response results of m conditions. The maximum value here refers to the value with guarantee rate φ obtained according to the normal distribution based on the statistical structure response of m error conditions.

[0025] Further, in S10, when the maximum cable force deviation rate δF max and the maximum shape deviation ΔU max satisfy the construction forming allowable shape deviation, it means that the error control index set in S1 meets the requirements of the construction forming allowable deviation.

[0026] Compared with the prior art, the present invention provides a more reasonable and comprehensive control index for the construction error analysis of fixed-length cable structures, which includes not only cable length error and external connection point error, but also relative error of adjacent points. Furthermore, the construction form control target includes cable force and configuration requirements, thus providing a more reasonable and comprehensive control index for the construction of fixed-length cable structures. Attached Figure Description

[0027] Figure 1 This is an analysis flowchart of the method described in this invention;

[0028] Figure 2 This is a three-dimensional axonometric drawing of a roof with a fixed-length cable structure to which this invention applies;

[0029] Figure 3 This is a top view of the roof cable net of the fixed-length cable structure to which this invention applies;

[0030] Figure 4 This is a schematic diagram of the spatial relationship of the external connection points of the fixed-length cable structure to which this invention applies;

[0031] Figure 5 This is a schematic diagram of the normal distribution of 500 cable length error samples for the cable L1 of the fixed-length cable structure to which this invention applies;

[0032] Figure 6 This is a schematic diagram of the normal distribution of 500 error samples of the external node C1 of the fixed-length cable structure to which this invention applies;

[0033] Figure 7 The external connection point error sample matrix E of the fixed-length cable structure to which this invention applies. C A schematic diagram of the normal distribution of error samples from 128 external connection points in the first error condition;

[0034] Figure 8 The external connection point error sample matrix E of the fixed-length cable structure to which this invention applies. C A schematic diagram of the normal distribution of the relative error samples of the first and last connecting points in the middle;

[0035] Figure 9 E represents the total error sample matrix E of the fixed-length cable structure to which this invention applies. A A schematic diagram of the normal distribution of 128 error samples in the first error condition;

[0036] Explanation of markings in the diagram:

[0037] 1-Circular cable; 2-Radial cable; 3-External cable connection node C1; 4-External cable connection node C 128 ; 5-Cable L1; 6-Cable L 128 . Detailed Implementation

[0038] The application will be described in detail below with reference to the drawings and specific embodiments. The embodiments are implemented on the premise of the technical solutions of the application, and detailed implementation modes and specific operation processes are given, but the protection scope of the application is not limited to the following embodiments.

[0039] The cable anchor of the fixed-length cable structure does not have an adjusting device. In the past, the construction error analysis of the fixed-length cable structure only included cable length errors and external connection point position errors, which were both set as independent errors, that is, there is no correlation between the length errors of each cable and between the external connection point position errors. In the cable structure, the mutual influence of cable forces is more obvious as the spatial distance is closer. In particular, the relative errors of adjacent points in the spoke-type dense cable structure have a greater influence on the cable force, and even are the main error control indicators. In addition, the construction forming state control target generally only has a cable force deviation allowable value, and does not include a position deviation allowable value.

[0040] In order to provide more reasonable and comprehensive control indicators for the construction of the fixed-length cable structure, the application provides an analysis method for determining the cable length and external connection point position control indicators of the fixed-length cable structure, which can be seen from Figure 1 The method comprises the following steps:

[0041] S1, determining the number k of external connection points of cables and surrounding support structures; setting the construction forming allowable shape deviation, that is, the cable force allowable deviation rate δFe and the position allowable deviation ΔUe; setting the number m of defect error working condition samples and the normal random distribution guarantee rate φ; and setting the initial error control indicators, that is, the cable length error allowable value Le, the external connection point position error allowable value Ce, and the adjacent point position relative error allowable value Re.

[0042] S2, sequentially forming the external connection node sequence [C1, C2,..., C k ] and the corresponding cable sequence [L1, L2,..., L k ] according to the spatial geometric adjacent relationship, which can be sequentially formed along the ring counterclockwise or clockwise from any external connection node, and the sequence is closed in the ring direction. According to the normal random distribution guarantee rate φ and the error control indicators, the cable length error sample standard deviation σ L , the external connection point position error sample standard deviation σ C , and the adjacent point position relative error sample standard deviation σ R are determined.

[0043] S3, randomly generating the cable length error sample matrix E L according to the cable length error control indicator Le. Here, represents the random error value of the i-th cable under the j-th error working condition. The cable length errors are independent of each other, and the random error values thereof follow the normal distribution When the randomly generated error is greater than +Le, then when When it is less than -Le, then

[0044] S4. Randomly generate m error sample vectors for external nodes C1 based on the external point error control index Ce. Its random error value follows a normal distribution. When randomly generated errors When it is greater than +Ce, then when When it is less than -Ce, then

[0045] S5. In the j-th error condition, according to the external node C i of And the relative error control index Re of adjacent points, generate external node C. i+1 of Where 1≤i≤k-1, 1≤j≤m.

[0046] For example, in the first error case, based on the error sample vector of the external node C1 In And the relative error control index Re of adjacent points, to generate the external node C2. And so on, based on the external node C i of And the relative error control index Re of adjacent points, generate external node C. i+1 of

[0047] Except for the first node, the errors of subsequent adjacent points are not independent; they are composed of the error of the previous point and the relative error of the neighboring points. In the j-th (1≤j≤m) error condition, when the error of the previous point... After (1≤i≤k-1) is determined, the relative random error of the neighboring points is generated according to the relative error control index Re of the neighboring points. The error value follows a normal distribution. When the random generated relative error When it is greater than +Re, then when When it is less than -Re, then The positional error value of the j-th error condition and the (i+1)-th node. When the generated error When it is greater than +Ce, then when When it is less than -Ce, then

[0048] S6, due to the last node C in each error conditionk Since node C1 is also an adjacent node to the first node, node C needs to be checked. k Does the relative error between the error sample and the C1 error sample satisfy the proximity error control index Re?

[0049] In the inspection of the j-th error condition, the first and last external nodes C1 and C2 are... k Does the relative error satisfy the nearest neighbor error control index Re? If not, recalculate according to S5 until it is satisfied, and finally obtain the error vector of the j-th error condition.

[0050] Here, if the conditions are not met and the calculation is returned to S5, the relative random error of the neighboring points must be regenerated based on the relative error control index Re of the neighboring points. The error value follows a normal distribution. Although the relative error control index Re remains unchanged, it is regenerated each time S5 is returned. The specific values ​​are all different, but they all satisfy a certain probability distribution, so no adjustment is needed.

[0051] For example, in the first error condition, check the first and last external nodes C1 and C2. k Does the relative error satisfy the proximity error control index Re, i.e. If the condition is not met, recalculate according to S5 until it is met, and finally obtain the error vector of the first error condition.

[0052] S7. Based on S5 and S6 of the j-th error condition, the final external point error matrix E with m conditions and k nodes is formed. C , Here, This represents the random error value of the i-th external connection point under the j-th error condition.

[0053] S8, the cable length error sample matrix E L With the external point error sample matrix E C By superimposing the samples, we obtain the total error sample matrix E. A ,

[0054] S9. Introduce the errors in the total error sample matrix into m error conditions of the defect-free structure for analysis, and obtain the maximum cable force deviation rate δF. max and the maximum cable net configuration deviation ΔU max Maximum cable force deviation rate δF max and the maximum cable net configuration deviation ΔU max The response results for m operating conditions are statistically analyzed based on a normal distribution to achieve the maximum guarantee rate φ.

[0055] S10, judging the maximum cable force deviation rate δF max and the maximum shape deviation ΔU max whether the construction forming allowable shape deviation is met; if not met, the error control index in S1 is re-adjusted, and the iterative calculation is performed again; if met, it indicates that the error control index set in S1 meets the requirement of the construction forming allowable deviation.

[0056] The above embodiments will be described in more detail below in conjunction with specific examples.

[0057] Example 1

[0058] Taking a spoke type single-layer cable net roof structure of a certain stadium as an example, the roof structure cable net is composed of ring cables 1 and radial cables 2, wherein the radial cables 2 are fixed-length cables, the outer ends of which are connected with the peripheral support steel structure, and there are 128 radial cables 2, the distance between the outer connection nodes of each radial cable 2 is only 2-4 m, which belongs to a dense cable system, see Figure 2 and Figure 3 .

[0059] The specific steps of analyzing the construction control index are as follows:

[0060] Step 1: According to the structure configuration, determine that the cable net structure has k=128 outer connection points with the peripheral support structure; according to the “Standard for Construction of Building Cable Structures” (T / CECS 1341-2023), set the construction forming allowable shape deviation: cable force allowable deviation rate δFe=10%, shape allowable deviation ΔUe=2×cantilever span / 1000=60 mm; determine the number of defect error working condition samples m=500; set the initial error control index: cable length error allowable value Le=5 mm, outer connection point position error allowable value Ce=25 mm, and adjacent point position relative error allowable value Re=10 mm; set the normal random distribution guarantee rate φ=95%.

[0061] Step 2: Form the outer connection node sequence [C1, C2,..., C 128 ] clockwise according to the spatial geometric adjacent relationship, as shown in Figure 4 , which contains cable outer connection node C1 3 and cable outer connection node C 128 4, and the corresponding cable sequence is [L1, L2,..., L 128 ], which contains cable L1 5, cable L 128 6, and the sequence is closed in the ring direction. According to the normal random distribution guarantee rate φ=95% and the error control index, determine the cable length error sample standard deviation the outer connection point position error sample standard deviation the adjacent point position relative error sample standard deviation

[0062] Step three: According to the cable length error control index allowable value Le=5mm, randomly generate cable length error sample matrix E L , Each cable length error sample is independent of each other, and its random error value follows a normal distribution When the randomly generated error is greater than +5mm, then When is less than -5mm, then Take 500 error samples of cable L1 for statistics to get the error normal distribution graph, see Figure 5 .

[0063] Step four: According to the external connection point error control index allowable value Ce=25mm, randomly generate m=500 error working conditions of external connection node C1 error sample vector Its random error value follows a normal distribution When the randomly generated error is greater than +25mm, then =+25mm; When is less than -25mm, then Take 500 error samples of external connection node C1 for statistics to get the error normal distribution graph, see Figure 6 .

[0064] Step five: In the first error working condition, according to the error sample vector of external connection node C1 and the adjacent point relative error control index Re=10mm, generate the error of external connection node C2 i . In this way, according to the error of external connection node C i+1 and the adjacent point relative error control index Re=10mm, generate the error of external connection node C .

[0065] Except for the first node, the error between the subsequent adjacent points is not independent, but is composed of the error of the previous point and the relative error of the adjacent point. In the jth(1≤j≤500) error working condition, when the error of the previous point is determined, the relative random error of the adjacent point is generated according to the adjacent point relative error control index Re=10mm The error value follows a normal distribution When the randomly generated relative error is greater than +10mm, then When is less than -10mm, then When the generated error is greater than +25mm, then When is less than -25mm, then

[0066] Step six: since the last node C 128 is also an adjacent node to the first node C1, it is necessary to check whether the relative error between the error samples of nodes C 128 and C1 meets the adjacent error control index 10mm. In the first error condition, it is checked whether the relative error of the first and last external connection nodes C1 and C k meets the adjacent error control index 10mm, i.e. If not, recalculate according to step five until it meets, and finally obtain the error vector of the first error condition

[0067] Step seven: according to steps five and six of the first error condition, the external connection point error matrix E C of m conditions and k nodes is finally formed Take the 128 external connection point errors of the first error condition in the external connection point error matrix E C to obtain the error normal distribution diagram, see Figure 7 The relative error distribution between nodes C 128 and C1 in 500 error conditions is shown in Figure 8 , the maximum difference is ±9mm, which is less than ±10mm.

[0068] Step eight: superimpose the cable length error sample matrix E L and the external connection point error sample matrix E C coupled with the adjacent point relative error to obtain the total error sample matrix E A , In the total error sample matrix, the normal distribution of 128 total error samples of the first condition is shown in Figure 9 .

[0069] Step nine: introduce the errors in the total error sample matrix into the defect-free structure to form 500 error conditions for analysis, and obtain the maximum cable force deviation rate δF max and the maximum cable net shape deviation ΔU max . The maximum cable force deviation rate δF max and the maximum cable net shape deviation ΔU maxis the maximum value based on normal distribution with 95% guarantee rate. Here, when the error samples are introduced into the defect-free structure for analysis, the error samples in the total error matrix are equivalent to the error of each cable length, and the equivalent error is simulated by applying temperature strain to each cable, which is a common knowledge in the art and will not be described here.

[0070] Step ten: judging the maximum cable force deviation rate δF max and the maximum shape deviation ΔU max whether the construction forming allowable shape deviation is met: i.e. δF max ≤10%, ΔU max ≤60mm; the maximum structural response deviation is calculated, in which the cable force maximum deviation rate is 8.9%, less than 10%, and the shape deviation is 56.6mm, less than 60mm, so the error control index set in step 1 can meet the construction forming allowable deviation requirement.

[0071] By comparing the construction control index obtained by the present application and the traditional analysis method at the construction forming allowable deviation threshold, it can be seen that under the premise that the cable length error allowable value is 5mm, the outer connection point error allowable value obtained by the present application is 25mm, and the relative error allowable value of the adjacent point is 10mm, while the traditional method only obtains the outer connection point error allowable value of 15mm. Compared with the traditional method, the construction control index obtained by the present application is more comprehensive and reasonable.

[0072] In the above content, the processing process and the like without special description are conventional techniques or common knowledge in the art, which will not be described here.

[0073] The above description of the embodiments is for the convenience of the ordinary skilled person in the art to understand and use the present application. Those skilled in the art can easily make various modifications to these embodiments, and apply the general principles described herein to other embodiments without creative labor. Therefore, the present application is not limited to the above embodiments, and the improvements and modifications made by those skilled in the art without departing from the scope of the present application should be within the scope of protection of the present application.

Claims

1. An analysis method for determining the length of a fixed-length cable structure, characterized in that, The method comprises the following steps: S1, determining the number of external connection points of the cable to the peripheral support structure k ; Setting the construction forming to allow the shape deviation, i.e. the cable force allowable deviation rate , the shape allowable deviation ; Set the number of samples of the error condition of the defect m And the assurance rate of normal random distribution φ Set the error control index: i.e. the allowed value of the length error The allowed value of the error of the external connection point The allowed value of the relative error of the adjacent point ; S2, forming a sequence of external connection nodes in order according to spatial geometric adjacency relationship with corresponding cable sequence , cable length error sample standard deviation determined according to normal random distribution guarantee rate φ and error control index , external connection point position error sample standard deviation , adjacent point position relative error sample standard deviation ; S3, according to the cable length error allowable value Randomly generate cable length error sample matrix , , wherein, represents the random error value of the i-th cable under the i-th error condition, 1≤i≤n, 1≤j≤m, 1≤n≤N, 1≤m≤M; and j i i k j m ;​​​​​ S4, according to the outer connection point error allowable value Randomly generated m The outer connection node of the error condition Error sample vector , ; S5、in the first j error condition, according to the relative error control index of the external node and the adjacent point , the relative error control index of the external node and the adjacent point is generated , 1≤ i ≤ k -1, 1≤ j ≤ m ; S6, Test No. j In each error condition, the first and last external nodes and Does the relative error meet the allowable value for relative error of neighboring points? If not satisfied, recalculate according to S5 until satisfied, and finally obtain the first... j Error vector of each error condition , ; S7、according to S5 and S6, finally forming m one working condition, k one node's external connection point error matrix , ; S8, the chord length error sample matrix and the outer connection point error sample matrix are superimposed to obtain a total error sample matrix , ; S9, introducing the error in the total error sample matrix into the defect-free structure to form m an error condition, obtaining the maximum cable force deviation rate and the maximum cable net shape deviation ; S10, judging and whether the construction forming allowable shape deviation is met; if not met, the error control index in S1 is re-adjusted, and the iteration calculation is performed again; S2, forming the outer-linking node sequence according to the spatial geometric adjacency relationship with the corresponding cable sequence clockwise or counterclockwise along the ring, and the sequence is closed at the ring. In S5, when generating the error vector of each error condition external connection point by point, the error between the subsequent adjacent points is not independent, but is composed of the previous point error and the relative error of the adjacent point. In the j In each error condition, when the previous point error Once determined, the relative error control index of neighboring points is used. Generate relative random error of neighboring points The error value follows a normal distribution. When the relative error is randomly generated Greater than At that time, = ,when Less than At that time, = ; The first j error condition, the first i node point error value , when the generated error is greater than , then = , when is less than , then = .

2. The analysis method for determining the length of a fixed-length cable structure, external connection point position control indicators according to claim 1, characterized in that, In S3, when the length error sample matrix is generated The length error samples are independent of each other, and the random error values thereof follow a normal distribution wherein, 1≤i≤k, 1≤j≤m .

3. The analytical method for determining the cable length and external connection point control indicators of a fixed-length cable structure according to claim 2, characterized in that, In S3, when the randomly generated error is greater than , then = ; when is less than , then = .

4. The method of claim 1, wherein the method is characterized by: S4, the first external node error sample vector generated independently, with random error values following a normal distribution , when the randomly generated error is greater than , then = , when is less than , then = .

5. The analytical method for determining the cable length and external connection point control indicators of a fixed-length cable structure according to claim 1, characterized in that, Maximum cable force deviation rate And maximum cable net shape deviation Is the response result of m Statistical based on normal distribution, to achieve normal random distribution guarantee rate φ The maximum value.

6. The method of claim 1, wherein the method further comprises: determining the length of the cable structure; and determining the control index of the external connection point position. In S10, when the maximum cable force deviation rate and the maximum position deviation satisfies the construction molding allowable position deviation, it indicates that the error control index set in S1 satisfies the requirement of the construction molding allowable deviation.

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