A method, device and medium for shape analysis of a ring-shaped cable-stayed structure

Abstract

The application discloses a shape analysis method, equipment and medium for a ring-shaped tensile string structure, and the ring-shaped tensible string structure generally comprises an upper ring-shaped rigid beam rod structure and a lower flexible cable rod structure, wherein the upper beam rod structure comprises radial beams and ring-shaped rods, the lower cable rod structure comprises vertical support rods and cable system structures, and the cable system structures comprise radial cables and ring-shaped cables. The prestress distribution of the cable system is derived from the length of the cable system structure on the basis of the initial shape of the ring-shaped tensible string structure, then the new cable system node coordinates are calculated, the shape of the lower cable system structure is updated, the above process is repeated for the new shape, and the reasonable prestress distribution of the cable system and the overall structure shape can be obtained after iteration. The shape analysis method provided by the application can quickly obtain the prestress distribution of the cable system and the overall structure shape meeting the requirements, and the method is simple and convenient to calculate. The application can be widely applied in the field of analysis and design of large-span space structures.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of analysis and design of large-span space structures, and in particular to a shape analysis method, device and medium for a ring-shaped cable-supported structure. BACKGROUND

[0002] The ring-shaped cable-supported structure is a semi-rigid large-span prestressed space structure system based on the concept of tensegrity, and is usually used in modern large-scale stadiums, arenas and the like. The planar projection of a conventional ring-shaped cable-supported structure is a regular circle, and the boundary nodes are at the same elevation. However, for a complex ring-shaped cable-supported structure, the planar projection is an ellipse, a rectangle, a polygon or the like, or the boundary nodes are not at the same elevation (such as a saddle-shaped curve, a parabola or the like). There is currently no unified and simple method for shape and force analysis. Developing a shape analysis method suitable for complex ring-shaped cable-supported structures can greatly expand the application range of such structures and has a very positive significance for the popularization and application thereof. SUMMARY

[0003] To at least partially solve one of the technical problems existing in the prior art, the purpose of the present application is to provide a shape analysis method, device and medium for a ring-shaped cable-supported structure to solve the problems of complex process, low efficiency and poor effect of the existing method.

[0004] The first technical solution adopted by the present application is:

[0005] A shape analysis method for a ring-shaped cable-supported structure, comprising the following steps:

[0006] S1, establishing a structure model according to a target configuration, taking the target configuration as an initial state of iterative calculation, and extracting an initial length of a lower cable system structure of the current structure model;

[0007] S2, assigning an initial prestress to the cable system structure by the initial strain method;

[0008] S3, obtaining the length of each cable in the cable system structure in the equilibrium state of the structure through nonlinear finite element calculation;

[0009] S4, calculating the strain change of each cable according to the cable length obtained in steps S1 and S3, and updating the initial strain of the lower cable system structure according to the strain change;

[0010] S5, when the initial strain is small, the vertical displacement of the upper beam and rod structure of the ring-shaped cable-supported structure is overall downward, and steps S1-S4 are repeated, and the beam and rod structure will gradually be lifted upward until the reverse arch, and then the next step is performed;

[0011] S6, updating the node coordinates of the lower cable system to reduce the vertical displacement of the upper beam and rod structure, and when the reduction reaches a preset value, multiplying the initial strain by a reduction coefficient C;

[0012] S7, detecting whether the vertical displacement (the value of the maximum positive and negative displacement) of the upper beam structure is similar and close to zero, if not, repeating steps S3-S6; if yes, repeating the update of the node in step S6 until the vertical displacement of the upper beam structure meets the preset requirement.

[0013] Further, the ring-shaped tensile string structure comprises an upper rigid beam structure and a lower flexible cable structure; the beam structure comprises radial beams and ring-shaped rods; the cable structure comprises vertical support rods and cable structures, wherein the cable structure comprises radial cables and ring-shaped cables.

[0014] Further, the ring-shaped tensile string structure comprises a regular tensile string structure with a planar projection of a circle and boundary nodes at the same elevation, and a complex tensile string structure with a planar projection of an ellipse, a rectangle or a polygon, etc., and unequal high boundary nodes.

[0015] Further, in step S4, for a certain radial beam, when the radial beam is arched upward relative to the target shape, the strain change value is assigned as negative, that is, the prestress of the lower cable structure is reduced; otherwise, the strain change value is assigned as positive, and then the initial strain is updated.

[0016] Further, 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 support rods are in a vertical state.

[0017] Further, the design shape of the upper beam structure is used as the shape control target to find the cable prestress distribution when the vertical deformation of the structure is zero in the initial prestress state or the load state.

[0018] Further, the value range of the reduction coefficient C is 0.3-0.7.

[0019] The second technical solution adopted by the present application is:

[0020] An electronic device, comprising a processor and a memory, the memory 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 being loaded and executed by the processor to implement the above-mentioned morphological analysis method for a ring-shaped tensile string structure.

[0021] The third technical solution adopted by the present application is:

[0022] A computer-readable storage medium, the 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 being loaded and executed by a processor to implement the above-mentioned morphological analysis method for a ring-shaped tensile string structure.

[0023] The fourth technical solution adopted by the present application is:

[0024] A computer program product or computer program, the computer program product or computer program comprising computer instructions stored in a computer readable storage medium. The processor of the computer device can read the computer instructions from the computer readable storage medium, and the processor executes the computer instructions, so that the computer device executes the above-mentioned shape analysis method for the ring-shaped tensile structure.

[0025] The beneficial effects of the present application are: the present application derives the prestress distribution of the cable system from the length of the cable system structure on the basis of the initial shape of the ring-shaped tensile structure, and then calculates the new cable system node coordinates and updates the shape of the lower cable system structure, and repeats the above process for the new shape. After iteration, the reasonable prestress distribution of the cable system and the overall structure shape can be obtained. The shape analysis method proposed in the present application can quickly obtain the prestress distribution of the cable system and the overall structure shape that meet the requirements, and the idea is simple and convenient to calculate. BRIEF DESCRIPTION OF DRAWINGS

[0026] In order to more clearly illustrate the technical solutions in the embodiments of the present application or the prior art, the following introduces the drawings of the related technical solutions in the embodiments of the present application or the prior art. It should be understood that the drawings in the following introduction are only for the convenience of clearly describing part of the embodiments in the technical solutions of the present application, and for those skilled in the art, other drawings can also be obtained from these drawings without creative labor.

[0027] Figure 1 is the ring-shaped tensile structure diagram in the embodiment of the present application;

[0028] Figure 2 is the upper rigid beam structure diagram of the ring-shaped tensile structure in the embodiment of the present application;

[0029] Figure 3 is the lower flexible cable structure diagram of the ring-shaped tensile structure in the embodiment of the present application;

[0030] Figure 4 is the flow chart of a shape analysis method for a ring-shaped tensile structure in the embodiment of the present application;

[0031] Figure 5 is the structure radial beam numbering diagram in the embodiment of the present application;

[0032] Figure 6 is the structure vertical displacement cloud chart in the embodiment of the present application. DETAILED DESCRIPTION

[0033] Embodiments of the present application are described below in detail with reference to the accompanying drawings, wherein the same or similar components are denoted by the same or similar reference numerals throughout the drawings. The embodiments described below are exemplary only, and are used only for the purpose of explaining the present application, and should not be understood as limiting the present application. For the step numbers in the following embodiments, they are only set for the convenience of setting out the description, and any limitation is not made on the order between the steps, and 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 the present application, it should be understood that the orientation description, such as the orientation or position relationship indicated by the upper, lower, front, rear, left, right and the like, is based on the orientation or position relationship shown in the drawings, and is only for the convenience of describing the present application and simplifying the description, and does not indicate or imply that the device or element indicated must have a particular orientation, be constructed and operated in a particular orientation, and therefore cannot be understood as limiting the present application.

[0035] In the description of the present application, the meaning of several is one or more, and the meaning of multiple is two or more. Greater than, less than, more than, and the like are understood as not including the number, and above, below, and the like are understood as including the number. If it is described as first, second, it is only for the purpose of distinguishing technical features, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of indicated technical features or the order of indicated technical features.

[0036] In the description of the present application, unless otherwise explicitly limited, the words such as setting, installing, connecting and the like should be understood in a broad sense, and those skilled in the art can reasonably determine the specific meaning of the above words in the present application in combination with the specific content of the technical solution.

[0037] In view of the prior art problems, the present application provides a shape analysis method for a ring-shaped tensile string structure. The ring-shaped tensile string structure generally comprises an upper ring-shaped rigid beam structure and a lower flexible cable structure, wherein the upper beam structure comprises radial beams and ring-shaped rods, and the lower cable structure comprises vertical support rods and cable structures (radial cables and ring-shaped cables). The method provided by the present application can simultaneously realize shape finding and force finding of the structure; in addition to regular tensile string structures with a circular planar projection and boundary nodes at the same elevation, the method can also be used for complex tensile string structures with an elliptical, rectangular, polygonal, etc. planar projection and non-equal-height boundary nodes. Meanwhile, the method can also be combined with the actual construction process to realize whole-process shape analysis of the structure under different working conditions. The method of the present application takes the design shape of the upper beam structure as the shape control target, and essentially finds the cable prestress distribution when the vertical deformation of the structure is zero under the initial prestress state or the load state. The present application derives the cable prestress distribution from the length of the cable structure on the basis of the initial shape of the ring-shaped tensile string structure, and then calculates new cable node coordinates and updates the shape of the lower cable structure, and the above process is repeated for the new shape, and after iteration, a reasonable cable prestress distribution and overall structure shape are obtained. The shape analysis method provided by the present application can quickly obtain a cable prestress distribution and overall structure shape that meet the requirements, and the method is simple in idea and convenient in calculation.

[0038] Embodiment 1

[0039] Reference Figure 1 , Figure 1 is a schematic view of a ring-shaped tensile string structure. As shown in Figure 2 , Figure 3 , the ring-shaped tensile string structure comprises an upper rigid beam structure and a lower flexible cable structure, the upper beam structure comprises radial beams 1 and ring-shaped rods 2; and the lower cable structure comprises vertical support rods 3 and cable structures, wherein the cable structures comprise radial cables 4 and ring-shaped cables 5.

[0040] As shown in Figure 4 , the present embodiment provides a shape analysis method for a ring-shaped tensile string structure, and the analysis process comprises the following steps:

[0041] (1) establishing a structure model according to a target shape, and the initial length L B of each cable is:

[0042] L B =[l1,…,l j ,…,l n ] T

[0043] (2) giving each cable an initial strain ε (0) :

[0044] ε (0) =[ε1(0) ,…,ε j (0) ,…,ε n (0) ] T

[0045] (3) Calculate the equilibrium state and extract the current length L of each cable. (1) :

[0046] L (1) =[l1 (0) ,…,l j (0) ,…,l n (0) ] T

[0047] (4) Calculate the strain changes of each cable:

[0048] 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

[0049] (5) Vertical displacement U of the upper beam structure (1) ={u1 (1) ,…,u j (1) ,…,u n (1) For a given beam, when the radial beam arches upwards, the strain is assigned a negative sign, i.e., the prestress of the cable is reduced; conversely, it is assigned a positive sign, thus updating the initial strain of the cable.

[0050] When u j (1) >0, Δε j (1) =-|Δε j (1) |

[0051] When u j (1) <0, Δε j(1) = |Δε j (1) |

[0052] ε j (1) = ε j (0) + Δε j (1)

[0053] (6) Repeat steps 1-5 until the overall configuration of the structure changes from downward deflection to upward arching, i.e. U min is close to 0, the iteration of force finding is stopped, and the vertical displacement of the upper beam nodes is added to the Z-direction coordinates of the lower nodes of the struts, at this time U max will gradually decrease.

[0054] Z (1) = Z (0) + U (1)

[0055] wherein Z (0) is the initial Z-direction coordinate of the lower node of the strut, and Z (1) is the Z-direction coordinate of the lower node of the strut after the first iteration.

[0056] (7) When U max decreases by 20%-30%, the initial strain of the cable is multiplied by a reduction factor C, which should be determined by trial and error, and the value range is usually 0.3-0.7.

[0057] ε (2) = C (1) * ε (1)

[0058] (8) At this time, it can be observed whether U max and U min are approximately equal and have small values, if not, repeat steps 3-7 above, otherwise, repeat the update of the nodes in step 6 until the vertical displacement of the upper beam structure meets the requirements. The formula of the nth iteration step is as follows:

[0059] L (n) = [l1 (n) ,…,l j (n) ,…,l q (n) ] T

[0060] Δε (n) = [Δε1 (n) ,…,Δε j (n) ,…,Δε q(n) ] T

[0061] =[(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

[0062] ε (n) =ε (n-1) +Δε (n)

[0063] Z (n) =Z (n-1) +U (n-1)

[0064] 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.

[0065] Table 1

[0066]

[0067] The calculated vertical displacement of the structure is as follows: Figure 5 As shown in Table 2, the initial prestress and internal forces of the ring cable and the radial cables at the main locations are as follows.

[0068] Table 2

[0069]

[0070] from Figure 6 It can be seen that the structural morphology obtained by this method has a very small vertical displacement, only 1 / 1292 of the minor axis span, and can meet higher accuracy requirements through further iterative calculations. On the other hand, the error between the obtained initial prestress of the cable system and the final internal force is small, indicating that the morphological analysis method proposed in this invention can effectively perform morphological analysis on complex annular tensioned structures.

[0071] Embodiment 2

[0072] The embodiment of the present application also provides an electronic device, which comprises 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 Figure 4 The embodiment of the present application also provides a morphological analysis method for a ring-shaped tensile structure.

[0073] It can be understood that the memory can include a random access memory (RAM) and a read-only memory (ROM). Optionally, the memory includes a non-transitory computer-readable storage medium. The memory can be used to store instructions, programs, codes, code sets or instruction sets. The memory can include a program storage area and a data storage area, wherein the program storage area can store instructions for implementing an operating system, instructions for at least one function, instructions for implementing various method embodiments described above, and the like; and the data storage area can store data created according to the use of the server and the like.

[0074] The processor can include one or more processing cores. The processor connects various parts in the entire server through various interfaces and lines, executes various functions of the server and processes data by running or executing instructions, programs, code sets or instruction sets stored in the memory, and calling data stored in the memory. Optionally, the processor can be implemented in at least one of a hardware form of a digital signal processing (DSP), a field-programmable gate array (FPGA) and a programmable logic array (PLA). The processor can be integrated with a combination of one or more of a central processing unit (CPU) and a modem. Among them, the CPU mainly processes operating systems and application programs; and the modem is used to process wireless communication. It can be understood that the above-mentioned modem can also not be integrated into the processor, but be implemented by a single chip.

[0075] Since the electronic device is an electronic device corresponding to the shape analysis method for the ring-shaped tensile cable structure according to the embodiments of the present application, and the principle of solving problems of the electronic device is similar to that of the method, the implementation of the electronic device can be seen with reference to the implementation process of the above-mentioned method embodiments, and the repeated parts will not be described herein again.

[0076] Embodiment 3

[0077] The embodiments of the present application also provide a computer readable storage medium, wherein at least one instruction, at least one program, a code set or an instruction set is stored in the storage medium, and 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 realize the shape analysis method for the ring-shaped tensile cable structure as shown in the above-mentioned method embodiments. Figure 4 The embodiments of the present application also provide a computer readable storage medium, wherein at least one instruction, at least one program, a code set or an instruction set is stored in the storage medium, and 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 realize the shape analysis method for the ring-shaped tensile cable structure as shown in the above-mentioned method embodiments.

[0078] Those skilled in the art can understand that all or part of the steps in the above-mentioned various embodiments can be instructed by programs to related hardware, and the programs can be stored in a computer readable storage medium, including a Read-Only Memory (ROM), a Random Access Memory (RAM), a Programmable Read-only Memory (PROM), an Erasable Programmable Read Only Memory (EPROM), a One-time Programmable Read-Only Memory (OTPROM), an Electrically-Erasable Programmable Read-Only Memory (EEPROM), a Compact Disc Read-Only Memory (CD-ROM) or other optical disk storage, a magnetic disk storage, a magnetic tape storage or any other medium that can be used to carry or store data which can be read by a computer.

[0079] Since the storage medium is a storage medium corresponding to the shape analysis method for the ring-shaped tensile cable structure according to the embodiments of the present application, and the principle of solving problems of the storage medium is similar to that of the method, the implementation of the storage medium can be seen with reference to the implementation process of the above-mentioned method embodiments, and the repeated parts will not be described herein again.

[0080] Embodiment 4

[0081] In some possible implementation manners, each aspect of the method of the embodiment of the present application can also be implemented in the form of a program product, which includes program codes for causing a computer device to execute the steps of the method for shape analysis of the ring-shaped cable-stayed structure according to various exemplary embodiments of the present application described above in the specification when the program product is run on the computer device. The executable computer program codes or "codes" for executing various embodiments can be written in a high-level programming language such as C, C++, C#, Smalltalk, Java, JavaScript, Visual Basic, Structured Query Language (e.g., Transact-SQL), Perl, or in various other programming languages.

[0082] It should be understood that various parts of the present application can be realized in hardware, software, firmware, or a combination thereof. In the above-described embodiments, multiple steps or methods can be realized in software or firmware stored in a memory and executed by a suitable instruction execution system. For example, if realized in hardware, and as in another embodiment, any one or a combination of the following technologies known in the art can be used: discrete logic circuitry having logic gates for implementing logic functions on data signals, application-specific integrated circuits having appropriate combinational logic gates, programmable gate arrays (PGA), field programmable gate arrays (FPGA), and the like.

[0083] In the description of the present specification, the description of the terms "one embodiment", "some embodiments", "an example", "a specific example", or "some examples" and the like means that the specific features, structures, materials or characteristics described in connection with the embodiment or example are included in at least one embodiment or example of the present application. In the present specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials or characteristics described can be combined in any suitable manner in any one or more embodiments or examples. In addition, the person skilled in the art can combine and combine the different embodiments or examples described in the present specification and the features of the different embodiments or examples without contradiction.

[0084] The above-described embodiments are only for the purpose of illustrating the technical concepts and characteristics of the present application, and the purpose is to enable those of ordinary skill in the art to understand the content of the present application and to implement it, and cannot limit the protection scope of the present application. Any equivalent changes or modifications made in accordance with the essence of the present application should be covered within the protection scope of the present application.

Claims

1. A method for shape analysis of a ring-shaped tensile string structure, characterized by, The method comprises the following steps: S1, establishing a structure model according to a target configuration, taking the target configuration as an initial state of iterative calculation, and extracting initial lengths of a lower cable system structure of the current structure model; S2, assigning initial prestress to the cable system structure by an initial strain method; S3, obtaining lengths of each cable in the cable system structure in a balanced state of the structure through nonlinear finite element calculation; S4, calculating strain changes of each cable according to the cable lengths obtained in steps S1 and S3, and updating initial strains of the lower cable system structure according to the strain changes; S5, when the initial strains are small, the vertical displacement of the upper beam and rod structure of the ring-shaped tensile chain structure is overall downward, steps S1-S4 are repeated, the beam and rod structure will gradually be lifted upward until a reverse arch, and then the next step is performed; S6, updating node coordinates of the lower cable system to reduce the vertical displacement of the upper beam and rod structure, and multiplying the initial strains by a reduction coefficient C when the reduction reaches a preset value; S7, detecting whether the vertical displacement of the upper beam and rod structure is similar and close to zero, and if not, repeating steps S3-S6, and if so, repeating the updating of the nodes in step S6 until the vertical displacement of the upper beam and rod structure meets a preset requirement.

2. The method of claim 1, wherein, The ring-shaped tensile chain structure comprises an upper rigid beam and rod structure and a lower flexible cable and rod structure; the beam and rod structure comprises radial beams and ring-shaped rods; and the cable and rod structure comprises vertical support rods and a cable system structure, wherein the cable system structure comprises radial cables and ring-shaped cables.

3. The method of claim 1, wherein, The ring-shaped tensile chain structure comprises not only regular tensile chain structures with a circular planar projection and boundary nodes at the same elevation, but also complex tensile chain structures with an elliptical, rectangular or polygonal planar projection and unequal-height boundary nodes.

4. The method of claim 1, wherein, In step S4, for a certain radial beam, when the radial beam is arched upward relative to the target configuration, the strain change value is assigned as negative, i.e., the prestress of the lower cable system is reduced; otherwise, the strain change value is assigned as positive, and then the initial strain is updated.

5. The method of claim 1, wherein, In step S6, only the vertical coordinates of the cable system nodes are updated to keep the planar projection positions of the nodes unchanged, thereby ensuring that the support rods are in a vertical state.

6. The method of claim 1, wherein, The design configuration of the upper beam and rod structure is taken as a shape control target to find a cable prestress distribution when the vertical deformation of the structure is zero in an initial prestress state or a load state.

7. The method of claim 1, wherein, The reduction coefficient C has a value range of 0.3-0.

7.

8. An electronic device, comprising: The electronic device comprises a processor and a memory, and the memory stores at least one instruction, at least one program, a code set or an instruction set, which are loaded and executed by the processor to implement the method according to any one of claims 1-7.

9. A computer-readable storage medium, characterized in that, The storage medium stores at least one instruction, at least one program, a code set or an instruction set, which are loaded and executed by a processor to implement the method according to any one of claims 1-7.

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