A method and system for form finding of a vertical self-balanced hyperbolic cable-net structure

Abstract

This invention belongs to the field of building technology and relates to a form-finding method and system for a vertical self-balancing hyperboloid cable net structure. During the form-finding process, the length and position of the curtain wall columns remain constant, and the initial cable forces of the bearing cables and windproof cables remain constant. The method includes: S1: Determining the initial cable forces and cross-sectional dimensions; S2: Establishing an initial model and determining the deformation position; S3: Determining whether the convergence tolerance requirement is met. If met, the form-finding is complete; otherwise, proceed to S4; S4: Correcting the initial model based on the deformation position to obtain a corrected model; S5: Determining the deformation position under the second deformation state based on the corrected model; S6: Determining again whether the convergence tolerance requirement is met. If met, the form-finding is complete; otherwise, returning to step S4 and correcting the corrected model based on the deformation position under the second deformation state until the requirement is met. This significantly reduces the processing difficulty of the curtain wall columns and achieves an aesthetically pleasing architectural effect while maintaining reasonable stress distribution.

Description

Technical Field

[0001] This invention belongs to the field of building technology and relates to a structural form-finding method and system, particularly to a form-finding method and system for a vertical self-balancing hyperboloid cable net structure. Background Technology

[0002] like Figure 1 As shown, the vertical self-balancing hyperboloid cable net structure includes curtain wall columns 1, bearing cables 2, windproof cables 3, struts 4, and stabilizing cables 5. The exterior glass cladding of a building using this structure is installed flush against the curtain wall columns 1. Therefore, considering its own weight and prestressing, the curtain wall columns 1 should be completely flush with the building's control surface. The bearing cables 2 push the curtain wall columns 1 outwards via the struts 4, while the windproof cables 3 deform / bend the curtain wall columns 1 inwards at corresponding positions; their actions are opposite. Both the bearing cables 2 and the windproof cables 3 are continuous steel cables, and at the same strut 4, their forces are often unequal. This unequal pair of forces acting on the curtain wall columns 1 will cause them to bend and deform, thus detaching them from the building's control surface.

[0003] Therefore, it is necessary to perform form-finding on the vertical self-balancing hyperboloid cable net structure to ensure that the curtain wall column 1 is completely aligned with the control surface of the building's shape. The usual form-finding method is to use the curtain wall column 1 as the main form-finding subject, and through reverse iteration of the curtain wall column 1's configuration, finally obtain an approximately reverse-bending shape. Taking this bending shape as the zero state of the curtain wall column 1's processing can ensure that the initial state of the curtain wall column 1, considering its self-weight and prestressing effect, is aligned with the building's control surface.

[0004] However, the form-finding method that uses the curtain wall column 1 as the main form-finding element requires the curtain wall column 1 to be processed in a zero-state manner after form-finding, which is quite difficult. Moreover, it is often difficult to process the curtain wall column 1 into a shape that is exactly the same as the corrected reverse bending shape. Therefore, it is impossible to guarantee that the curtain wall column 1 fits perfectly with the building control surface, which will affect the aesthetics and safety of the building.

[0005] Given the technical deficiencies of existing technologies, there is an urgent need for a novel method for finding the shape of a vertical self-balancing hyperboloid cable net structure. Summary of the Invention

[0006] To address the shortcomings of existing technologies, this invention provides a method and system for finding the shape of a vertical self-balancing hyperboloid cable net structure. By adjusting the length of the struts (i.e., the position of the bearing cables), the jacking force applied by the bearing cables to the curtain wall mullions is changed, thereby ensuring that the curtain wall mullions maintain a straight shape in both the zero state and the initial state. Curtain wall mullions formed using this method can be processed according to a straight shape, significantly reducing the processing difficulty of the components. It also ensures that the struts between the bearing cables and the curtain wall mullions are horizontal in the initial state, achieving an aesthetically pleasing architectural effect while ensuring reasonable stress distribution.

[0007] To achieve the above objectives, the present invention provides the following technical solution: A method for finding the form of a vertical self-balancing hyperboloid cable net structure, comprising curtain wall columns, bearing cables, windproof cables, struts, and stabilizing cables, wherein the bearing cables push the curtain wall columns through the struts, and the windproof cables support the curtain wall columns at corresponding positions, characterized in that the method uses the struts as the adjustment object, keeping the length and position of the curtain wall columns constant during iterative form finding, and keeping the initial cable forces of the bearing cables and windproof cables constant, by successively adjusting the length of the struts and the positions of the connection nodes, changing the pushing force of the bearing cables on the curtain wall columns, so that the pushing force of the bearing cables at each strut position is approximately equal to the internal pulling force of the windproof cables, thereby ensuring that the curtain wall columns maintain a straight shape in the initial state after form finding. The form finding method includes the following steps: S1: Determine the initial cable force of the pressure cable and windproof cable, and determine the cross-sectional dimensions of the curtain wall columns, pressure cables, windproof cables, struts and stabilizing cables based on the bearing capacity requirements; S2: Establish an initial model of the vertical self-balancing hyperboloid cable net structure, and apply the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure to the initial model under boundary condition constraints. Determine the deformation location in the initial deformation state. The deformation location includes the horizontal deformation of the connection node between the curtain wall column and the strut. And the longitudinal deformation of the connection node between the curtain wall column and the strut in the vertical direction. ; S3: Determine whether the convergence tolerance requirement is met. If the requirement is met, the shape finding is complete; otherwise, proceed to S4. S4: Based on the deformation position in the initial deformation state, the initial model is corrected. That is, while keeping the length and position of the curtain wall column unchanged, the length of the strut, the initial ordinate of the connection node between the curtain wall column and the strut, and the initial ordinate of the connection node between the pressure cable and the strut are corrected to obtain the corrected model. S5: Based on the modified model, apply the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure under boundary condition constraints to obtain the deformation position in the deformed state. S6: Determine again whether the convergence tolerance requirement is met. If the requirement is met, the shape finding is completed. Otherwise, return to step S4 and correct the modified model based on the deformation position in the deformed state until the convergence tolerance requirement is met.

[0008] Preferably, in step S1, the initial cable forces of the pressure cable and the windproof cable are determined according to an empirical formula. It is confirmed that, among them, The initial cable force of the pressure cable or windproof cable is expressed in kN. The length of the pressure cable or windproof cable is expressed in meters (m). The sag of the pressure cable or windbreak cable is expressed in meters (m). The wind load is distributed as a linear load on each of the aforementioned bearing cables or windbreak cables, in kN / m.

[0009] Preferably, in steps S2 and S5, the boundary condition constraint is: a first hinged support constraining three-dimensional displacement is provided at the bottom of the curtain wall column, and a second hinged support constraining horizontal displacement is provided at the top of the curtain wall column.

[0010] Preferably, the correction of the length of the strut, the initial ordinate of the connection node between the curtain wall column and the strut, and the initial ordinate of the connection node between the bearing cable and the strut specifically involves: the corrected length of the strut The ordinate of the connection node between the curtain wall column and the modified strut The ordinate of the connection node between the corrected bearing cable and the corrected strut. ,in, Let be the initial length of the strut. Let be the initial ordinate of the connection node between the curtain wall column and the strut. Let be the initial ordinate of the connection node between the bearing cable and the strut.

[0011] Preferably, in step S4, correcting the initial model further includes: simultaneously adjusting the position of the pressure cable based on the corrected length and position of the strut.

[0012] Preferably, in steps S3 and S6, the convergence tolerance requirement is: the deviation between the curtain wall column and the building control surface is no more than 10mm, and the vertical coordinate deviation at both ends of the strut is less than 5mm.

[0013] Preferably, in steps S3 and S6, when determining whether the convergence tolerance requirement is met, it is further included to verify that the relative difference between the jacking force of the bearing cable on the curtain wall column and the internal pulling force of the windproof cable on the curtain wall column at each of the support rod positions is less than 1%, so as to ensure that the curtain wall column mainly bears the axial force.

[0014] Furthermore, the present invention also provides a form-finding system for a vertical self-balancing hyperboloid cable net structure, characterized in that it comprises: The initial parameter determination module is used to determine the initial cable force of the pressure cable and windproof cable, and to determine the cross-sectional dimensions of the curtain wall columns, pressure cables, windproof cables, struts and stabilizing cables based on the load-bearing capacity requirements; The initial deformation position calculation module establishes an initial model of the vertical self-balancing hyperboloid cable net structure, and applies the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure to the initial model under boundary condition constraints to obtain the deformation position in the initial deformation state. The deformation position includes the horizontal deformation of the connection node between the curtain wall column and the strut. And the longitudinal deformation of the connection node between the curtain wall column and the strut in the vertical direction. ; The initial correction module corrects the initial model based on the deformation position in the initial deformation state. That is, while keeping the length and position of the curtain wall column unchanged, it corrects the length of the strut, the initial ordinate of the connection node between the curtain wall column and the strut, and the initial ordinate of the connection node between the bearing cable and the strut to obtain the initial correction model. The re-deformation position calculation module is used to calculate the deformation position in the re-deformation state by applying the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure under boundary condition constraints based on the initial modified model. The convergence tolerance requirement judgment module is used to determine whether the convergence tolerance requirement is met based on the deformation position in the initial deformation state or the deformation position in the re-deformation state.

[0015] Furthermore, the present invention also provides a form-finding device for a vertical self-balancing hyperboloid cable net structure, characterized in that it comprises: One or more processors; Memory, used to store one or more programs; When the one or more programs are executed by the one or more processors, the one or more processors implement the form-finding method for the vertical self-balancing hyperboloid cable net structure as described above.

[0016] Finally, the present invention also provides a computer-readable storage medium having a computer program stored thereon, characterized in that, when the program is executed by a processor, it implements the steps of the form-finding method for the vertical self-balancing hyperboloid cable net structure as described above.

[0017] Compared with the prior art, the form-finding method and system for the vertical self-balancing hyperboloid cable net structure of the present invention has one or more of the following beneficial technical effects: 1. In this invention, the curtain wall mullions can maintain a straight shape, which greatly reduces the processing difficulty of the curtain wall mullions.

[0018] 2. In this invention, by adjusting the length of the strut, the jacking force applied to the curtain wall column by the pressure cable is changed, thereby ensuring that the curtain wall column mainly bears the axial force and reducing the bending moment of the column caused by the strut. This method can significantly improve the stress state of the curtain wall column and save nearly 20% of the material usage.

[0019] 3. In the form-finding process, this invention mainly focuses on the position of the curtain wall columns that conform to the building control surface, which can relax the requirements for the position of the bearing cables to a certain extent, thereby greatly improving the form-finding efficiency. Usually, a high accuracy requirement can be achieved in 3 iterations. Attached Figure Description

[0020] Figure 1 A schematic diagram of an existing vertical self-balancing hyperboloid cable net structure is shown.

[0021] Figure 2 A flowchart of the form-finding method for the vertical self-balancing hyperboloid cable net structure of the present invention is shown.

[0022] Figure 3 A schematic diagram of the deformation of a single truss of a vertical self-balancing hyperboloid cable net structure is shown.

[0023] Figure 4 It shows Figure 3 An enlarged view of part A.

[0024] Figure 5 A schematic diagram showing the comparison of a single vertical self-balancing hyperboloid cable net structure before and after modification is presented.

[0025] Figure 6 A schematic diagram of the form-finding system for the vertical self-balancing hyperboloid cable net structure of the present invention is shown. Detailed Implementation

[0026] Before detailing any embodiment of the invention, it should be understood that the invention, in its application, is not limited to the details of the construction and arrangement of the components set forth in the following description or illustrated in the following figures. The invention can have other embodiments and can be practiced or carried out in various ways. Furthermore, it should be understood that the wording and terminology used herein are for descriptive purposes and should not be considered limiting. The use of “comprising” or “having” and variations thereof is intended to cover the items set forth below and their equivalents, as well as any additional items. Unless otherwise specified or limited, the terms “installation,” “connection,” “support,” and “linkage,” and variations thereof are used broadly and cover both direct and indirect installation, connection, support, and linking. Moreover, “connection” and “linkage” are not limited to physical or mechanical connections or links.

[0027] Furthermore, firstly, in the disclosure of this invention, the terms "longitudinal," "lateral," "upper," "lower," "front," "rear," "left," "right," "vertical," "horizontal," "top," "bottom," "inner," and "outer," etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing this invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, the above terms should not be construed as limiting the invention. Secondly, the term "a" should be understood as "at least one" or "one or more," that is, in one embodiment, the number of an element can be one, while in another embodiment, the number of the element can be multiple. The term "a" should not be construed as a limitation on the quantity.

[0028] The curtain wall columns 1 and windproof cables 3 of the vertical self-balancing hyperboloid cable net structure are set close to the building control surface, while the bearing cables 2, connected to the curtain wall columns 1 by struts 4, are detached from the building control surface. Therefore, slight adjustments to the position of the bearing cables 2 have almost no impact on the architectural effect. The base of the struts 4 is connected to the bearing cables 2, and adjusting the position of the bearing cables 2 is equivalent to adjusting the length of the struts 4. Therefore, by adjusting the length of the struts 4, the jacking force applied to the curtain wall columns 1 by the bearing cables 2 can be changed. When the jacking force at any position is equal to the internal pulling force applied to the windproof cables 3 at that position, the curtain wall columns 1 only bear axial force, thus maintaining a straight shape. Based on this principle, the vertical self-balancing hyperboloid cable net structure can be shaped by adjusting the length and position of the struts 4 (i.e., the position of the bearing cables).

[0029] For cable-net curtain wall structures, the core objective of form finding is to ensure that the curtain wall mullions conform to the building's control surfaces and maintain a straight shape, thereby reducing processing difficulty and improving load-bearing performance, rather than making the displacement of a particular mesh layer approach zero. This invention uses struts as the form-finding adjustment object (rather than the curtain wall mullions or global nodes). The curtain wall mullions maintain a straight shape before and after form finding (this is a constraint, not the solution objective). By adjusting the strut length, the jacking force equals the internal pulling force, and the curtain wall mullions are primarily subjected to axial forces (the principle of force balance). This allows the curtain wall mullions to be processed in a straight shape without the need for reverse bending, significantly reducing processing difficulty and manufacturing costs. Simultaneously, the struts remain horizontal after form finding, resulting in a neat and aesthetically pleasing appearance. This achieves a technical effect that satisfies both structural performance and architectural aesthetics.

[0030] Figure 2 A flowchart illustrating the form-finding method for the vertical self-balancing hyperboloid cable net structure of the present invention is shown. For example... Figure 2 As shown, the form-finding method for the vertical self-balancing hyperboloid cable net structure of the present invention includes the following steps: S1: Initial parameters are determined.

[0031] Determine the initial cable force of the pressure cable 2 and the windproof cable 3, and determine the cross-sectional dimensions of the curtain wall column 1, pressure cable 2, windproof cable 3, strut 4 and stabilizing cable 5 based on the bearing capacity requirements.

[0032] The initial cable forces of the pressure cable 2 and the windproof cable 3 can be determined using empirical formulas. Confirmed. In the formula, The initial cable force of the pressure cable 2 or windproof cable 3 is expressed in kN. The length of the pressure-bearing cable 2 or the windproof cable 3 is in meters (m). The sag of the pressure cable 2 or the windproof cable 3 is expressed in meters (m). The wind load is distributed to the linear load of each of the aforementioned bearing cables 2 or windbreak cables 3, in kN / m.

[0033] Furthermore, the cross-sectional dimensions of the curtain wall columns 1, pressure cables 2, windbreak cables 3, struts 4, and stabilizing cables 5 can be determined according to the requirements for the bearing capacity of steel components and cables in the "Steel Structure Design Standard" GB 50017-2017 and the "Technical Specification for Cable Structures" JGJ 257-2012. This is existing technology, and for simplicity, it will not be described in detail here.

[0034] S2: Calculation of initial deformation position.

[0035] In this invention, the initial model of the vertical self-balancing hyperboloid cable net structure is established in finite element analysis software (such as ANSYS, SAP2000, MIDAS, etc.) using the drawing state, that is, the state without external forces and the self-weight of the components, as the zero state. Furthermore, as... Figure 3 As shown, a first hinged support 6 constraining three-dimensional (X, Y, and Z) displacement is installed at the base of the curtain wall column 1, and a second hinged support 7 constraining horizontal (X and Y) displacement is installed at the top of the curtain wall column 1. After applying the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure, the deformation position in the initial deformation state is determined.

[0036] In this invention, after applying the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure, the deformation position in the initial deformation state can be automatically calculated by finite element analysis software.

[0037] like Figure 3 and 4 As shown, in this invention, the obtained deformation position includes: the deformation amount in the horizontal direction of the connection node between the curtain wall column 1 and the strut 4. The longitudinal deformation of the connection node between the curtain wall column 1 and the strut 4 in the vertical direction Since the strut remains parallel to the strut before deformation and after deformation during the deformation process, the longitudinal deformation of the connection node between the bearing cable 2 and the strut 4 in the vertical direction and the longitudinal deformation of the connection node between the curtain wall column 1 and the strut 4 in the vertical direction are both limited. Same. Among them, deformation amount It includes a direction sign, the sign of which is determined based on the setting of the overall coordinate system and the results of finite element calculations, to ensure that the corrected strut length can generate a reverse thrust to offset the deformation.

[0038] The deformation in the horizontal direction of the connection node between the curtain wall column 1 and the strut 4. The difference in horizontal position between the connection node of the curtain wall mound 1 and the strut 4 before deformation and the connection node of the curtain wall mound 101 and the strut 401 after deformation. The longitudinal deformation of the connection node between the curtain wall mound 1 and the strut 4 in the vertical direction. The vertical difference in position between the connection node of the curtain wall column 1 before deformation and the connection node of the curtain wall column 101 after deformation and the connection node of the support rod 401 after deformation.

[0039] S3: Convergence tolerance requirement judgment.

[0040] Determine whether the convergence tolerance requirement is met. If the requirement is met, the shape finding is complete; otherwise, proceed to step S4.

[0041] S4: Correction.

[0042] The initial model is corrected based on the deformation position in the initial deformation state to obtain the initial corrected model.

[0043] During the correction process, the length and position of the curtain wall column 1 are kept unchanged, and the support rod 4 remains parallel before and after the correction. The length of the support rod 4, the initial longitudinal coordinate of the connection node between the curtain wall column 1 and the support rod 4, and the initial longitudinal coordinate of the connection node between the pressure cable 2 and the support rod 4 are corrected. Simultaneously, the position of the pressure cable 2 can be adjusted based on the corrected length and position of the support rod.

[0044] Specifically, the deformation of the connection node between the curtain wall column 1 and the strut 4 in the horizontal direction. The longitudinal deformation in the vertical direction of the connection node between the curtain wall column 1 and the support rod 4, used to correct the length of the support rod 4. This is used to correct the initial longitudinal coordinates of the connection nodes between the curtain wall column 1 and the strut 4, as well as the initial longitudinal coordinates of the connection nodes between the bearing cable 2 and the strut 4. It also ensures that the corrected strut remains parallel to the original strut.

[0045] For example, suppose that a certain strut 4 of the curtain wall column 1 deforms horizontally inward at a corresponding position. The initial length of strut 4 before correction was The corrected length of the modified strut 402 is then... Assume the longitudinal deformation in the vertical direction of the connection node between the curtain wall column 1 and a certain strut 4. Before correction, the initial ordinate of the connection node on the curtain wall column 1 was: The corrected ordinate of the connection node on the curtain wall column 1 is then... Assume the initial ordinate of the connection node between the bearing cable 2 and a certain strut 4 before correction. The corrected ordinate of the connection node between the corrected bearing cable 202 and the corrected strut 402 is: .

[0046] S5: Calculation of the position for further deformation.

[0047] Since a single correction is often insufficient to meet the convergence tolerance requirements, in this invention, it is necessary to apply the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure under boundary condition constraints based on the correction model to obtain the deformation position in the re-deformation state.

[0048] In this step, the specific calculation is the same as in step S2, except that the self-weight load of the vertical self-balancing hyperboloid cable net structure is the modified self-weight load of the vertical self-balancing hyperboloid cable net structure. Therefore, for the sake of simplicity, it will not be described in detail.

[0049] S6: Convergence tolerance requirements need to be reassessed.

[0050] The convergence tolerance requirement is checked again. If the requirement is met, the shape finding is completed. Otherwise, return to step S4 and perform correction and deformation position calculation again until the convergence tolerance requirement is met.

[0051] Specifically, when returning to step S4 to perform correction and deformation position calculation again, step S4 involves correcting the corrected model based on the deformation position in the re-deformed state to obtain a re-corrected model, and step S5 involves obtaining the deformation position in the re-deformed state based on the re-corrected model.

[0052] In this invention, the convergence tolerance requirements in steps S3 and S6 are as follows: the deviation between the curtain wall column 1 and the building control surface is no more than 10mm; the vertical coordinate deviation at both ends of the corrected support rod 402 is less than 5mm, that is, the difference between the vertical coordinate of the connection node between the curtain wall column 1 and the corrected support rod 402 and the vertical coordinate of the connection node between the corrected bearing cable 202 and the corrected support rod 402 is less than 5mm.

[0053] Furthermore, in this invention, the form-finding results can be imported into the zero-state model to verify whether the curtain wall columns are indeed straight and the struts are horizontal in the zero state without external force and self-weight.

[0054] After meeting the convergence tolerance requirements, the modified vertical self-balancing hyperboloid cable net structure can be obtained. For example... Figure 5 As shown, in Figure 5 In the process of form finding, the length and position of the curtain wall column 1 remain unchanged, maintaining a straight shape, which significantly reduces the processing difficulty of the curtain wall column 1. Simultaneously, each support rod changes from the original support rod 4 to the modified support rod 402, with changes in both length and position. Furthermore, the position of the bearing cable can be adjusted based on the modified support rod 402. It should be noted that the changes in the bearing cable 2 before and after modification are only based on the change in the end position of the support rod, altering both the end position and shape.

[0055] Figure 6 A schematic diagram of the form-finding system for the vertical self-balancing hyperboloid cable net structure of the present invention is shown. (See diagram below.) Figure 6As shown, the form-finding system for the vertical self-balancing hyperboloid cable net structure of the present invention includes: 1. Initial parameter determination module.

[0056] The initial parameter determination module is used to determine the initial cable force of the pressure cable 2 and the windproof cable 3, and to determine the cross-sectional dimensions of the curtain wall column 1, pressure cable 2, windproof cable 3, strut 4 and stabilizing cable 5 based on the bearing capacity requirements; 2. Initial deformation position calculation module.

[0057] The initial deformation position calculation module is used to establish the initial model of the vertical self-balancing hyperboloid cable net structure, and apply the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure to the initial model under boundary condition constraints to obtain the deformation position in the initial deformation state.

[0058] 3. Modify the module.

[0059] The correction module is used to correct the initial model based on the deformation position in the initial deformation state to obtain a corrected model.

[0060] 4. Module for calculating the position of deformation again.

[0061] The re-deformation position calculation module is used to calculate the deformation position in the re-deformation state by applying the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure under boundary condition constraints based on the modified model.

[0062] 5. Convergence tolerance requirement judgment module.

[0063] The convergence tolerance requirement judgment module is used to determine whether the convergence tolerance requirement is met.

[0064] Furthermore, the present invention also provides a form-finding device for a vertical self-balancing hyperboloid cable net structure, comprising: one or more processors; a memory for storing one or more programs; when the one or more programs are executed by the one or more processors, the one or more processors implement the form-finding method for a vertical self-balancing hyperboloid cable net structure as described in the present invention.

[0065] Finally, the present invention also provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the form-finding method for a vertical self-balancing hyperboloid cable net structure as described in the present invention.

[0066] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit the scope of protection of the present invention. Those skilled in the art can modify or make equivalent substitutions to the technical solutions of the present invention based on the concept of the present invention, without departing from the essence and scope of the technical solutions of the present invention.

Claims

1. A method for finding the shape of a vertical self-balancing hyperboloid cable net structure, the vertical self-balancing hyperboloid cable net structure comprising curtain wall columns (1), pressure-bearing cables (2), windproof cables (3), struts (4), and stabilizing cables (5), wherein the pressure-bearing cables (2) push the curtain wall columns (1) through the struts (4), and the windproof cables (3) support the curtain wall columns (1) at corresponding positions, characterized in that, The form-finding method uses the strut (4) as the form-finding adjustment object. During the iterative form-finding process, the length and position of the curtain wall column (1) remain unchanged, and the initial cable force of the pressure cable (2) and the windproof cable (3) remains constant. By successively adjusting the length of the strut (4) and the position of the connection node, the pushing force of the pressure cable (2) on the curtain wall column (1) is changed, so that the pushing force of the pressure cable (2) at each position of the strut (4) is equal to the internal pulling force of the windproof cable (3), thereby making the curtain wall column (1) maintain a straight shape in the initial state after the form-finding is completed. The form-finding method includes the following steps: S1: Determine the initial cable force of the pressure cable (2) and the windproof cable (3), and determine the cross-sectional dimensions of the curtain wall column (1), pressure cable (2), windproof cable (3), strut (4) and stabilizing cable (5) based on the bearing capacity requirements; S2: Establish an initial model of the vertical self-balancing hyperboloid cable net structure, and apply the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure to the initial model under boundary condition constraints, and obtain the deformation position in the initial deformation state. The deformation position includes the deformation amount in the horizontal direction of the connection node between the curtain wall column (1) and the strut (4). and the longitudinal deformation of the connection node between the curtain wall column (1) and the strut (4) in the vertical direction. ; S3: Determine whether the convergence tolerance requirement is met. If the requirement is met, the shape finding is complete; otherwise, proceed to S4. S4: Based on the deformation position in the initial deformation state, the initial model is corrected. That is, the length and position of the curtain wall column (1) are kept unchanged, and the length of the strut (4), the initial longitudinal coordinate of the connection node between the curtain wall column (1) and the strut (4) and the initial longitudinal coordinate of the connection node between the pressure cable (2) and the strut (4) are corrected to obtain the corrected model. S5: Based on the modified model, apply the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure under boundary condition constraints to obtain the deformation position in the deformed state. S6: Determine again whether the convergence tolerance requirement is met. If the requirement is met, the shape finding is completed. Otherwise, return to step S4 and correct the modified model based on the deformation position in the deformed state until the convergence tolerance requirement is met.

2. The form finding method of a vertically self-balanced double curved cable net structure according to claim 1, wherein, In step S1, the initial cable forces of the pressure cable (2) and the windproof cable (3) are determined according to empirical formulas. It is confirmed that, among them, The initial cable force of the pressure cable (2) or windproof cable (3) is expressed in kN. The length of the pressure cable (2) or windproof cable (3) is in meters. The sag of the pressure cable (2) or windproof cable (3) is in meters. The wind load is distributed as a linear load on each of the aforementioned bearing cables (2) or windbreak cables (3), in units of kN / m.

3. The form finding method of a vertically self-balanced double curved cable net structure according to claim 1, wherein, In steps S2 and S5, the boundary condition constraint is: a first hinged support (6) constraining triaxial displacement is set at the bottom of the curtain wall column (1), and a second hinged support (7) constraining horizontal displacement is set at the top of the curtain wall column (1).

4. The form finding method of a vertically self-balanced double curved cable net structure according to claim 1, wherein, The correction of the length of the strut (4), the initial ordinate of the connection node between the curtain wall column (1) and the strut (4), and the initial ordinate of the connection node between the bearing cable (2) and the strut (4) is specifically as follows: the corrected length of the strut (402) The ordinate of the connection node between the curtain wall column (1) and the modified strut (402) The ordinate of the connection node between the modified bearing cable (202) and the modified strut (402) ,in, The initial length of the strut (4) is given. Let be the initial ordinate of the connection node between the curtain wall column (1) and the strut (4). The initial ordinate of the connection node between the bearing cable (2) and the strut (4).

5. The form finding method of a vertically self-balanced double curved cable net structure according to claim 1, wherein, In step S4, the correction of the initial model also includes: adjusting the position of the pressure cable (2) synchronously based on the corrected length and position of the strut.

6. The form finding method of a vertically self-balancing double curved cable net structure according to any one of claims 1-5, characterized in that, In steps S3 and S6, the convergence tolerance requirement is that the deviation between the curtain wall column (1) and the building control surface is no more than 10mm, and the vertical coordinate deviation between the first and last ends of the strut (4) is less than 5mm.

7. The form finding method of a vertically self-balanced double curved cable net structure according to claim 6, wherein, In steps S3 and S6, when determining whether the convergence tolerance requirement is met, it is also necessary to verify that the relative difference between the pushing force of the pressure cable (2) on the curtain wall column (1) and the pulling force of the windproof cable (3) on the curtain wall column (1) at each of the support rods (4) is less than 1%, so as to ensure that the curtain wall column (1) mainly bears the axial force.

8. A form finding system for a vertically self-balancing hyperbolic cable net structure, characterized in that, include: The initial parameter determination module is used to determine the initial cable force of the pressure cable (2) and the windproof cable (3), and to determine the cross-sectional dimensions of the curtain wall columns (1), pressure cable (2), windproof cable (3), struts (4) and stabilizing cable (5) based on the bearing capacity requirements; The initial deformation position calculation module establishes an initial model of the vertical self-balancing hyperboloid cable net structure, and applies the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure to the initial model under boundary condition constraints to obtain the deformation position in the initial deformation state. The deformation position includes the deformation amount in the horizontal direction of the connection node between the curtain wall column (1) and the strut (4). and the longitudinal deformation of the connection node between the curtain wall column (1) and the strut (4) in the vertical direction. ; The correction module corrects the initial model based on the deformation position in the initial deformation state. That is, it keeps the length and position of the curtain wall column (1) unchanged, and corrects the length of the strut (4), the initial longitudinal coordinate of the connection node between the curtain wall column (1) and the strut (4), and the initial longitudinal coordinate of the connection node between the pressure cable (2) and the strut (4) to obtain the corrected model. The re-deformation position calculation module is used to calculate the deformation position in the re-deformation state by applying the initial cable force and the self-weight load of the vertical self-balancing hyperboloid cable net structure under boundary condition constraints based on the modified model. The convergence tolerance requirement judgment module is used to determine whether the convergence tolerance requirement is met.

9. A form-finding device for a vertical self-balancing hyperboloid cable net structure, characterized in that, include: One or more processors; Memory, used to store one or more programs; When the one or more programs are executed by the one or more processors, the one or more processors implement the form-finding method for the vertical self-balancing hyperboloid cable net structure as described in any one of claims 1-7.

10. A computer-readable storage medium having stored thereon a computer program, characterized in that, When the program is executed by the processor, it implements the steps of the form-finding method for the vertical self-balancing hyperboloid cable net structure as described in any one of claims 1-7.

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