Morphological analysis method for annular beam string structure, device, and medium
By using morphological analysis methods for annular tensioned structures, a model was established and the distribution of cable prestress was iteratively calculated. This solved the problem of finding the shape and force of complex annular tensioned structures and enabled efficient acquisition of cable prestress and structural configuration.
Patent Information
- Authority / Receiving Office
- WO · WO
- Patent Type
- Applications
- Current Assignee / Owner
- SOUTH CHINA UNIV OF TECH
- Filing Date
- 2025-11-03
- Publication Date
- 2026-06-18
Smart Images
Figure CN2025132132_18062026_PF_FP_ABST
Abstract
Description
A morphological analysis method, device, and medium for annular tensioned structures. Technical Field
[0001] This invention relates to the field of analysis and design of large-span spatial structures, and in particular to a morphological analysis method, device and medium for annular tensioned structures. Background Technology
[0002] Annular tensioned structures are semi-rigid, large-span prestressed spatial structural systems based on the concept of overall tensioning, commonly used in modern large stadiums and arenas. The planar projection of a conventional annular tensioned structure is a regular circle, with boundary nodes at the same elevation. However, for complex annular tensioned structures, their planar projections are elliptical, rectangular, polygonal, or have boundary nodes at unequal elevations (such as saddle-shaped curves or parabolas). Currently, there is no unified and convenient method for form-finding and force-finding analysis of these structures. Developing a morphological analysis method suitable for complex annular tensioned structures can greatly expand the application range of such structures and has a very positive significance for their promotion and application. Summary of the Invention
[0003] In order to at least partially solve one of the technical problems existing in the prior art, the present invention aims to provide a morphological analysis method, device and medium for annular tensioned structures, so as to solve the problems of complex process, low efficiency and poor effect of the existing methods.
[0004] The first technical solution adopted in this invention is:
[0005] A morphological analysis method for a ring-shaped tensioned structure includes the following steps:
[0006] S1. Establish a structural model according to the target configuration, and use the target configuration as the initial state for iterative calculation to extract the initial length of the lower cable structure of the current structural model.
[0007] S2. Initial prestress is applied to the cable structure using the initial strain method;
[0008] S3. The lengths of each cable in the cable system under the structural equilibrium state are obtained through nonlinear finite element calculation.
[0009] S4. Based on the cable lengths obtained in steps S1 and S3, calculate the strain changes of each cable and update the initial strain of the lower cable system structure according to the strain changes.
[0010] S5. When the initial strain is small, the vertical displacement of the upper beam structure of the annular tensioned cable structure is downward as a whole. Repeat steps S1 to S4. The beam structure will gradually rise upward until it arches back, then proceed to the next step.
[0011] S6. Update the coordinates of the lower cable system nodes to reduce the vertical displacement of the upper beam structure. When the displacement is reduced to the preset value, multiply the initial strain by the reduction factor C.
[0012] S7. Check whether the vertical displacement (the maximum positive and negative displacement values) of the upper beam structure is close to zero. If not, repeat steps S3 to S6. If yes, repeat the update node in step S6 until the vertical displacement of the upper beam structure meets the preset requirements.
[0013] Furthermore, the annular tensioned structure includes a rigid upper beam structure and a flexible lower cable structure; the beam structure includes radial beams and circumferential bars; the cable structure includes vertical struts and a cable system, wherein the cable system includes radial cables and circumferential cables.
[0014] Furthermore, the annular tensioned structure includes not only regular tensioned structures with a circular planar projection and boundary nodes at the same elevation, but also complex tensioned structures with a planar projection of ellipse-like, rectangular, or polygonal shapes, as well as boundary nodes with unequal elevations.
[0015] Furthermore, in step S4, for a certain radial beam, when the radial beam arches upward relative to the target configuration, the strain change value is assigned a negative sign, that is, the prestress of the lower cable system is reduced; conversely, the strain change value is assigned a positive sign, and then the initial strain is updated.
[0016] Furthermore, in step S6, only the vertical coordinates of the cable nodes are updated to keep the planar projection position of the nodes unchanged, thereby ensuring that the strut is in a vertical state.
[0017] Furthermore, the design configuration of the superstructure beams is used as the shape control target to find the cable prestress distribution when the vertical deformation of the structure is zero under initial prestress or load conditions.
[0018] Furthermore, the reduction factor C ranges from 0.3 to 0.7.
[0019] The second technical solution adopted in this invention is:
[0020] An electronic device includes a processor and a memory, wherein the memory stores at least one instruction, at least one program, a code set, or an instruction set, wherein the at least one instruction, the at least one program, the code set, or the instruction set is loaded and executed by the processor to implement a morphological analysis method for a ring-shaped tensioned structure as described above.
[0021] The third technical solution adopted in this invention is:
[0022] A computer-readable storage medium storing at least one instruction, at least one program, code set, or instruction set, wherein the at least one instruction, the at least one program, the code set, or the instruction set is loaded and executed by a processor to implement a morphological analysis method for a toroidal tensioned structure as described above.
[0023] The fourth technical solution adopted in this invention is:
[0024] A computer program product or computer program includes computer instructions stored in a computer-readable storage medium. A processor of a computer device can read the computer instructions from the computer-readable storage medium and execute the computer instructions, causing the computer device to perform the aforementioned morphological analysis method for a ring-shaped tensioned structure.
[0025] The beneficial effects of this invention are as follows: Based on the initial configuration of the annular tensioned cable structure, this invention derives the prestress distribution of the cable system from the length of the cable system, then calculates the new coordinates of the cable system nodes, updates the configuration of the lower cable system, and repeats the above process for the new configuration. After iteration, a reasonable cable system prestress distribution and overall structural configuration can be obtained. The morphological analysis method proposed in this invention can quickly obtain the required cable system prestress distribution and overall structural configuration, and its approach is simple and computationally convenient. Attached Figure Description
[0026] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following description is provided with accompanying drawings of the relevant technical solutions in the embodiments of the present invention or the prior art. It should be understood that the accompanying drawings described below are only for the purpose of clearly illustrating some embodiments of the technical solutions of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0027] Figure 1 is a diagram of the annular tensioned wire structure in an embodiment of the present invention;
[0028] Figure 2 is a structural diagram of the upper rigid beam of the annular tensioned structure in an embodiment of the present invention;
[0029] Figure 3 is a diagram of the flexible cable structure at the bottom of the annular tensioned structure in an embodiment of the present invention.
[0030] Figure 4 is a flowchart of a morphological analysis method for a ring-shaped tensioned structure in an embodiment of the present invention;
[0031] Figure 5 is a diagram showing the numbering of the radial beams in an embodiment of the present invention;
[0032] Figure 6 is a cloud diagram of the vertical displacement of the structure in an embodiment of the present invention. Detailed Implementation
[0033] The embodiments of the present invention are described in detail below. Examples of these embodiments are shown in the accompanying drawings, wherein the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention, and should not be construed as limiting the present invention. The step numbers in the following embodiments are set only for ease of explanation, and there is no limitation on the order between the steps. The execution order of each step in the embodiments can be adaptively adjusted according to the understanding of those skilled in the art.
[0034] In the description of this invention, it should be understood that the orientation descriptions, such as up, down, front, back, left, right, etc., are 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, they should not be construed as limiting this invention.
[0035] In the description of this invention, "several" means one or more, "more than" means two or more, "greater than," "less than," and "exceeding" are understood to exclude the stated number, while "above," "below," and "within" are understood to include the stated number. The use of "first" and "second" in the description is merely for distinguishing technical features and should not be construed as indicating or implying relative importance, or implicitly indicating the number of indicated technical features, or implicitly indicating the order of the indicated technical features.
[0036] In the description of this invention, unless otherwise explicitly defined, terms such as "set up," "install," and "connect" should be interpreted broadly, and those skilled in the art can reasonably determine the specific meaning of the above terms in this invention in conjunction with the specific content of the technical solution.
[0037] To address existing technical problems, this invention provides a morphological analysis method for ring-shaped tensioned structures. Ring-shaped tensioned structures typically consist of an upper ring-shaped rigid beam structure and a lower flexible cable structure. The upper beam structure includes radial beams and circumferential members, while the lower cable structure includes vertical struts and cable systems (radial and circumferential cables). The method proposed in this invention can simultaneously achieve form finding and force finding for the structure. Besides being applicable to regular tensioned structures with circular planar projections and boundary nodes at the same elevation, it can also be used for complex tensioned structures with elliptical, rectangular, or polygonal planar projections, as well as boundary nodes with unequal elevations. Furthermore, this method can be combined with the actual construction process to achieve full-process morphological analysis of the structure under different working conditions. The method of this invention uses the design configuration of the upper beam structure as the shape control target, essentially seeking the distribution of cable prestress when the vertical deformation of the structure is zero under initial prestress or load conditions. This invention, based on the initial configuration of the annular tensioned cable structure, derives the prestress distribution of the cable system from its length, then calculates the new coordinates of the cable system nodes and updates the configuration of the lower cable system. This process is repeated iteratively on the new configuration to obtain a reasonable prestress distribution and overall structural configuration. The morphological analysis method proposed in this invention can quickly obtain the required prestress distribution and overall structural configuration, and its approach is simple and computationally convenient.
[0038] Example 1
[0039] Referring to Figure 1, which is a schematic diagram of a ring-shaped tensioned cable structure. As shown in Figures 2 and 3, the ring-shaped tensioned cable structure includes an upper rigid beam structure and a lower flexible cable structure. The upper beam structure includes radial beams 1 and circumferential beams 2; the lower cable structure includes vertical struts 3 and a cable system, wherein the cable system includes radial cables 4 and circumferential cables 5.
[0040] As shown in Figure 4, this embodiment provides a morphological analysis method for a ring-shaped tensioned structure, the analysis process of which includes the following steps:
[0041] (1) Establish a structural model according to the target configuration, with the initial length L of each cable. B For: L B =[l1,…,l j ,…,l n ] T
[0042] (2) Assign an initial strain of ε to each cable. (0) ε (0) =[ε1 (0) ,…,ε j (0) ,…,ε n (0) ] T
[0043] (3) Calculate the equilibrium state and extract the current length L of each cable. (1) L (1) =[l1 (0) ,…,l j (0) ,…,l n (0) ] T
[0044] (4) Calculate the strain change of each cable: Δε (1) =[Δε1 (1) ,…,Δε j (1) ,…,Δε n (1) ] T =[(l1 (1) -l1) / l1,…,(l j (1) -l j ) / l j ,…,(l n (1) -l n ) / l n ] T
[0045] (5) Vertical displacement U of the upper beam structure (1) ={u1 (1) ,…,u j (1) ,…,u n (1) For a given radial beam, when the beam arches upwards, the strain is assigned a negative sign, thus reducing the prestress of the cable; conversely, it is assigned a positive sign, thereby updating the initial strain of the cable.
[0046] When u j (1) >0, Δε j (1) =-|Δε j (1) |
[0047] When u j (1) <0, Δε j (1) =|Δε j (1) | ε j (1) =ε j (0) +Δε j (1)
[0048] (6) Repeat steps 1 to 5 until the overall structural configuration changes from downward deflection to upward arching, i.e., U min When the force search iteration approaches 0, it stops. At this point, the coordinates of the lower cable system nodes are adjusted, and the vertical displacement of the upper beam nodes is superimposed onto the corresponding Z-axis coordinates of the lower strut nodes. At this point, U... max It will gradually decrease. Z (1) =Z (0) +U (1)
[0049] Among them, Z (0) Let Z be the initial Z-axis coordinate of the lower node of the strut. (1) The coordinates of the lower node of the strut in the Z direction after the first iteration are given.
[0050] (7)When U max When the strain decreases by 20%-30%, the initial strain of the cable should be multiplied by a reduction factor C. This factor C should be determined through trial calculations, and typically ranges from 0.3 to 0.7. ε (2) =C (1) *ε (1)
[0051] (8) At this time, the structure U can be observed. max and U min If the values are approximately equal and relatively small, repeat steps 3-7 above. Otherwise, repeat the node update in step 6 until the vertical displacement of the upper beam structure meets the requirements. The formula for the nth iteration is as follows: L (n) =[l1 (n) ,…,l j (n) ,…,l q (n) ] T Δε (n) =[Δε1 (n) ,…,Δε j (n) ,…,Δε q (n) ] T =[(l1 (n) -l1 (n-1) ) / l1 (n-1) ,…,(l j (n) -l j (n-1) ) / l j (n-1) ,…,(l q (1) -l q (n-1) ) / l q (n-1) ] T ε (n) =ε(n-1) +Δε (n) Z (n) =Z (n-1) +U (n-1)
[0052] Taking a ring-shaped tensioned cable structure as an example. Assume the boundary of this ring-shaped tensioned cable structure is saddle-shaped, and its planar projection is elliptical. The major axis span is 210m, the minor axis span is 168m, and the rise is 16m. The upper beam structure adopts a ribbed ring grid arrangement, and the lower cable system includes radial and circumferential cables, with a total of 72 radial cables forming a cable net together with the circumferential cables. The material parameters of the upper beams, struts, and lower cable system in this embodiment's structural model are shown in Table 1 below.
[0053] Table 1
[0054] The calculated vertical displacement of the structure is shown in Figure 5. The initial prestress and internal forces of the ring cables and radial cables at the main locations are shown in Table 2 below.
[0055] Table 2
[0056] As shown in Figure 6, the structural morphology obtained using this method exhibits a very small vertical displacement, only 1 / 1292 of the minor axis span, and can meet higher accuracy requirements through further iterative calculations. Furthermore, the initial prestress of the cable system shows a small error compared to the final internal force, indicating that the morphological analysis method proposed in this invention can effectively perform morphological analysis on complex annular tensioned structures.
[0057] Example 2
[0058] This invention also provides an electronic device, which includes a processor and a memory. The memory stores at least one instruction, at least one program, a code set, or an instruction set. The at least one instruction, the at least one program, the code set, or the instruction set are loaded and executed by the processor to implement a morphological analysis method for a ring-shaped tensioned structure as shown in FIG4.
[0059] It is understood that the memory may include random access memory (RAM) or read-only memory. Optionally, the memory may include non-transitory computer-readable storage medium. The memory can be used to store instructions, programs, code, code sets, or instruction sets. The memory may include a stored program area and a stored data area, wherein the stored program area may store instructions for implementing an operating system, instructions for at least one function, instructions for implementing the various method embodiments described above, etc.; the stored data area may store data created according to the use of the server, etc.
[0060] A processor may include one or more processing cores. The processor connects to various parts of the server via various interfaces and lines, executing instructions, programs, code sets, or instruction sets stored in memory, and accessing data stored in memory to perform various server functions and process data. Optionally, the processor may be implemented using at least one of the following hardware forms: Digital Signal Processing (DSP), Field-Programmable Gate Array (FPGA), and Programmable Logic Array (PLA). The processor may integrate one or more of the following: Central Processing Unit (CPU) and Modem. The CPU primarily handles the operating system and applications; the modem handles wireless communication. It is understood that the modem may also be implemented as a separate chip without being integrated into the processor.
[0061] Since this electronic device is an electronic device corresponding to the morphological analysis method for a ring-shaped tensioned structure in the embodiments of the present invention, and the principle of solving the problem by this electronic device is similar to that of the method, the implementation of this electronic device can refer to the implementation process of the above method embodiments, and the repeated parts will not be described again.
[0062] Example 3
[0063] This invention also provides a computer-readable storage medium storing at least one instruction, at least one program, a code set, or an instruction set. The at least one instruction, the at least one program, the code set, or the instruction set is loaded and executed by a processor to implement a morphological analysis method for a ring-shaped tensioned structure, as shown in FIG4.
[0064] Those skilled in the art will understand that all or part of the steps in the various methods of the above embodiments can be implemented by a program instructing related hardware. The program can be stored in a computer-readable storage medium, including read-only memory (ROM), random access memory (RAM), programmable read-only memory (PROM), erasable programmable read-only memory (EPROM), one-time programmable read-only memory (OTPROM), electrically-Erasable Programmable Read-Only Memory (EEPROM), compact disc read-only memory (CD-ROM) or other optical disc storage, disk storage, magnetic tape storage, or any other computer-readable medium capable of carrying or storing data.
[0065] Since this storage medium is a storage medium corresponding to a morphological analysis method for a ring-shaped tensioned structure according to an embodiment of the present invention, and the principle of the storage medium in solving the problem is similar to that of the method, the implementation of this storage medium can refer to the implementation process of the above method embodiment, and the repeated parts will not be described again.
[0066] Example 4
[0067] In some possible implementations, various aspects of the methods of the embodiments of the present invention can also be implemented as a program product comprising program code that, when run on a computer device, causes the computer device to perform the steps of a morphological analysis method for a ring-shaped tensioned structure according to various exemplary embodiments of the present application described above. The executable computer program code or "code" for performing the various embodiments can be written in high-level programming languages such as C, C++, C#, Smalltalk, Java, JavaScript, Visual Basic, Structured Query Language (e.g., Transact-SQL), Perl, or in various other programming languages.
[0068] It should be understood that various parts of the present invention can be implemented in hardware, software, firmware, or a combination thereof. In the above embodiments, multiple steps or methods can be implemented in software or firmware stored in memory and executed by a suitable instruction execution system. For example, if implemented in hardware, as in another embodiment, it can be implemented using any one or a combination of the following techniques known in the art: discrete logic circuits having logic gates for implementing logical functions on data signals, application-specific integrated circuits (ASICs) having suitable combinational logic gates, programmable gate arrays (PGAs), field-programmable gate arrays (FPGAs), etc.
[0069] In the description of this specification, the references to terms such as "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., indicate that a specific feature, structure, material, or characteristic described in connection with that embodiment or example is included in at least one embodiment or example of the present invention. In this specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features, structures, materials, or characteristics described may be combined in any suitable manner in one or more embodiments or examples. Moreover, without contradiction, those skilled in the art can combine and integrate the different embodiments or examples described in this specification, as well as the features of different embodiments or examples.
[0070] The above embodiments are merely illustrative of the technical concept and features of the present invention, and are intended to enable those skilled in the art to understand the content of the present invention and implement it accordingly. They should not be construed as limiting the scope of protection of the present invention. All equivalent changes or modifications made based on the essence of the content of the present invention should be covered within the scope of protection of the present invention.
Claims
1. A morphological analysis method for a ring-shaped tensioned structure, characterized in that, Includes the following steps: S1. Establish a structural model according to the target configuration, and use the target configuration as the initial state for iterative calculation to extract the initial length of the lower cable structure of the current structural model. S2. Initial prestress is applied to the cable structure using the initial strain method; S3. The lengths of each cable in the cable system under the structural equilibrium state are obtained through nonlinear finite element calculation. S4. Based on the cable lengths obtained in steps S1 and S3, calculate the strain changes of each cable and update the initial strain of the lower cable system structure according to the strain changes. S5. When the initial strain is small, the vertical displacement of the upper beam structure of the annular tensioned cable structure is downward as a whole. Repeat steps S1 to S4. The beam structure will gradually rise upward until it arches back, then proceed to the next step. S6. Update the coordinates of the lower cable system nodes to reduce the vertical displacement of the upper beam structure. When the displacement is reduced to the preset value, multiply the initial strain by the reduction factor C. S7. Check if the vertical displacement of the upper beam structure is close to zero. If not, repeat steps S3 to S6. If yes, repeat the update node in step S6 until the vertical displacement of the upper beam structure meets the preset requirements.
2. The morphological analysis method for a ring-shaped tensioned structure according to claim 1, characterized in that, The annular tensioned structure includes a rigid upper beam structure and a flexible lower cable structure; the beam structure includes radial beams and circumferential bars; the cable structure includes vertical struts and a cable system, wherein the cable system includes radial cables and circumferential cables.
3. The morphological analysis method for a ring-shaped tensioned structure according to claim 1, characterized in that, In addition to regular tensioned structures with circular planar projections and boundary nodes at the same elevation, the annular tensioned structure also includes complex tensioned structures with elliptical, rectangular, or polygonal planar projections and boundary nodes of unequal elevations.
4. The morphological analysis method for a ring-shaped tensioned structure according to claim 1, characterized in that, In step S4, for a certain radial beam, when the radial beam arches upward relative to the target configuration, the strain change value is assigned a negative sign, that is, the prestress of the lower cable system is reduced; conversely, the strain change value is assigned a positive sign, and then the initial strain is updated.
5. The morphological analysis method for a ring-shaped tensioned structure according to claim 1, characterized in that, In step S6, only the vertical coordinates of the cable nodes are updated to keep the planar projection position of the nodes unchanged, thereby ensuring that the strut is in a vertical state.
6. The morphological analysis method for a ring-shaped tensioned structure according to claim 1, characterized in that, The design configuration of the superstructure beams is used as the shape control target to find the cable prestress distribution when the vertical deformation of the structure is zero under initial prestress or load conditions.
7. The morphological analysis method for a ring-shaped tensioned structure according to claim 1, characterized in that, The reduction factor C ranges from 0.3 to 0.
7.
8. An electronic device, characterized in that, The electronic device includes a processor and a memory, wherein the memory stores at least one instruction, at least one program, a code set, or an instruction set, and the at least one instruction, the at least one program, the code set, or the instruction set is loaded and executed by the processor to implement the method as described in any one of claims 1 to 7.
9. A computer-readable storage medium, characterized in that, The storage medium stores at least one instruction, at least one program, code set, or instruction set, wherein the at least one instruction, the at least one program, the code set, or the instruction set is loaded and executed by a processor to implement the method as described in any one of claims 1 to 7.