Morphological analysis method and device for annular string structure and medium

Abstract

The invention discloses a morphological analysis method and device for an annular string structure and a medium, the annular string structure generally comprises an upper annular rigid beam-rod structure and a lower flexible cable-rod structure, the upper beam-rod structure comprises radial beams and annular rods, and the lower cable-rod structure comprises vertical supporting rods and a cable system structure. The cable system structure comprises radial cables and annular cables. According to the method, on the basis of the initial configuration of the annular string structure, the prestress distribution of the cable system is deduced according to the length of the cable system structure, then new cable system node coordinates are calculated, the configuration of the lower cable system structure is updated, the process is repeated for the new configuration, and reasonable cable system prestress distribution and the overall structure configuration can be obtained after iteration. According to the morphological analysis method provided by the invention, the cable system prestress distribution and the overall structure configuration meeting the requirements can be quickly obtained, the thought is simple, and the calculation is convenient. The method can be widely applied to the field of large-span space structure analysis and design.

Description

Technical Field

[0001] The present invention relates to the field of large-span spatial structure analysis and design, and in particular to a morphological analysis method, equipment and medium for annular string structures. Background Art

[0002] The ring-type string structure is a semi-rigid large-span prestressed spatial structure system proposed based on the concept of tensioning, which is usually used in modern large stadiums, arenas, etc. The plane projection of a conventional ring-type string structure is a regular circle, and the boundary nodes are at the same elevation. However, for complex ring-type string structures, their plane projections are elliptical, rectangular, polygonal, etc., or the boundary nodes are not at the same height (such as saddle curves, parabolas, etc.). There is currently no unified and simple method to perform form-finding and force analysis on them. The development of a morphological analysis method suitable for complex ring-type string structures can greatly expand the application scope of such structures, which is of great positive significance for their promotion and application. Summary of the invention

[0003] In order to solve at least one of the technical problems existing in the prior art to a certain extent, the purpose of the present invention is to provide a morphological analysis method, equipment and medium for annular string structures to solve the problems of complex process, low efficiency and poor effect of the existing methods.

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

[0005] A morphological analysis method for a ring-shaped string structure comprises the following steps:

[0006] S1. Establish a structural model according to the target configuration, use the target configuration as the initial state of iterative calculation, and extract the initial length of the lower cable structure of the current structural model;

[0007] S2, giving initial prestress to the cable structure by initial strain method;

[0008] S3. Obtain the length of each cable in the cable system structure under the structural equilibrium state through nonlinear finite element calculation;

[0009] S4, calculating the strain change of each cable according to the cable length obtained in step S1 and step 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 upper beam structure of the annular string structure is vertically displaced downward as a whole, and steps S1 to S4 are repeated. The beam structure will gradually rise upward until it arches, and then proceed to the next step;

[0011] S6. Update the coordinates of the lower cable node to reduce the vertical displacement of the upper beam structure. When it is reduced to a preset value, multiply the initial strain by the reduction factor C.

[0012] S7, check whether the vertical displacement (maximum positive and negative displacement values) of the upper beam structure are similar and close to zero. If not, repeat steps S3 to S6; if so, repeat the update node in step S6 until the vertical displacement of the upper beam structure meets the preset requirements.

[0013] Furthermore, the annular string structure includes an upper rigid beam-rod structure and a lower flexible cable-rod structure; the beam-rod structure includes radial beams and annular rods; the cable-rod structure includes vertical struts and a cable system structure, wherein the cable system structure includes radial cables and annular cables.

[0014] Furthermore, the annular string structure includes not only a regular string structure whose plane projection is a circle and whose boundary nodes are at the same elevation, but also a complex string structure whose plane projection is an ellipse, rectangle or polygon, etc., and whose boundary nodes are at unequal heights.

[0015] Further, 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; otherwise, 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 plane projection positions of the nodes unchanged, thereby ensuring that the bracing rods are in a vertical state.

[0017] Furthermore, the design configuration of the upper beam structure is adopted as the shape control target to find the prestress distribution of the cable system when the vertical deformation of the structure is zero in the initial prestressed state or under load.

[0018] Furthermore, the reduction coefficient C has a value range of 0.3-0.7.

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

[0020] An electronic device 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 a morphological analysis method for a ring-shaped string structure as described above.

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

[0022] A computer-readable storage medium 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 a processor to implement a morphological analysis method for a ring-shaped string structure as described above.

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

[0024] A computer program product or a computer program, the computer program product or the computer program includes computer instructions, the computer instructions are 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 the processor executes the computer instructions, so that the computer device performs the above-mentioned morphological analysis method for a ring-shaped string structure.

[0025] The beneficial effect of the present invention is that, based on the initial configuration of the annular string structure, the present invention derives the prestress distribution of the cable system from the length of the cable system structure, and then calculates the new cable system node coordinates, and updates the configuration of the lower cable system structure, and then repeats the above process for the new configuration, and after iteration, a reasonable cable system prestress distribution and overall structural configuration can be obtained. The morphological analysis method proposed by the present invention can quickly obtain the cable system prestress distribution and overall structural configuration that meet the requirements, and its idea is simple and the calculation is convenient. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the embodiments of the present invention or the drawings of related technical solutions in the prior art are introduced below. It should be understood that the drawings introduced below are only for the convenience of clearly describing 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 work.

[0027] Figure 1 2. It is a diagram of a ring-shaped string structure in an embodiment of the present invention;

[0028] Figure 2 1 is a structural diagram of the upper rigid beam of the annular string structure in an embodiment of the present invention;

[0029] Figure 3 1 is a structural diagram of the lower flexible cable rod of the annular string structure in an embodiment of the present invention;

[0030] Figure 4 is a flow chart of a morphological analysis method for an annular string structure in an embodiment of the present invention;

[0031] Figure 5 is a numbering diagram of the radial beams of the structure in the embodiment of the present invention;

[0032] Figure 6 It is a cloud diagram of the vertical displacement of the structure in the embodiment of the present invention. DETAILED DESCRIPTION

[0033] The embodiments of the present invention are described in detail below, and examples of the embodiments are shown in the accompanying drawings, wherein the same or similar reference numerals throughout represent the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention, and are not to be construed as limitations of the present invention. For the step numbers in the following embodiments, they are only provided for the convenience of explanation, and the order between the steps is not limited in any way, and the execution order of each step in the embodiment can be adaptively adjusted according to the understanding of those skilled in the art.

[0034] In the description of the present invention, it should be understood that descriptions involving orientations, such as up, down, front, back, left, right, etc., and orientations or positional relationships indicated are based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be understood as a limitation on the present invention.

[0035] In the description of the present invention, "several" means one or more, "more" means more than two, "greater than", "less than", "exceed" etc. are understood as not including the number itself, and "above", "below", "within" etc. are understood as including the number itself. If there is a description of "first" or "second", it is only used for the purpose of distinguishing the technical features, and cannot be understood as indicating or implying the relative importance or implicitly indicating the number of the indicated technical features or implicitly indicating the order of the indicated technical features.

[0036] In the description of the present invention, unless otherwise clearly defined, terms such as setting, installing, connecting, etc. should be understood in a broad sense, and technicians in the relevant technical field can reasonably determine the specific meanings of the above terms in the present invention based on the specific content of the technical solution.

[0037] In view of the existing technical problems, the present invention provides a morphological analysis method for an annular tensioned structure. An annular tensioned structure generally includes an upper annular rigid beam structure and a lower flexible cable structure, wherein the upper beam structure includes radial beams and annular rods, and the lower cable structure includes vertical struts and a cable system structure (radial cables, annular cables). The method proposed in the present invention can simultaneously realize the shape finding and force finding of the structure; in addition to being used for regular tensioned structures with plane projections as circles and boundary nodes at the same elevation, it can also be used for plane projections as elliptical, rectangular, polygonal, etc., as well as complex tensioned structures with boundary nodes of unequal heights. At the same time, this method can also be combined with the actual construction process to realize the full-process morphological analysis of the structure under different working conditions. The method of the present invention takes the design configuration of the upper beam structure as the shape control target, which is essentially to find the cable system prestress distribution when the vertical deformation of the structure is zero under the initial prestressed state or load state. Based on the initial configuration of the annular string structure, the present invention derives the prestress distribution of the cable system from the length of the cable system structure, and then calculates the new cable system node coordinates, and updates the configuration of the lower cable system structure, and then 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 the present invention can quickly obtain the cable system prestress distribution and overall structural configuration that meet the requirements, and its idea is simple and the calculation is convenient.

[0038] Example 1

[0039] See also Figure 1 , Figure 1 is a schematic diagram of a ring-shaped string structure. Figure 2 , Figure 3 As shown, the annular string structure includes an upper rigid beam structure and a lower flexible cable structure, wherein the upper beam structure includes radial beams 1 and annular rods 2; the lower cable structure includes vertical struts 3 and a cable system structure, wherein the cable system structure includes radial cables 4 and annular cables 5.

[0040] like Figure 4 As shown, this embodiment provides a morphological analysis method for a ring-shaped string structure, and the analysis process includes the following steps:

[0041] (1) Establish a structural model according to the target configuration, and the initial length of each cable is L B for:

[0042] L B =[l1,…,l j ,…,l n ] T

[0043] (2) Assign the initial strain of each cable to be 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 change 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 of the upper beam structure U (1) = {u1 (1) ,…,u j (1) ,…,u n (1) For a certain beam, when the radial beam arches upward, the strain is assigned a negative sign, that is, the prestress of the cable is reduced; otherwise, it is assigned a positive sign to update 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 to 5 until the overall configuration of the structure changes from downward deflection to upward arch, i.e., U min When it approaches 0, the force iteration is stopped. At this time, the lower cable node coordinates are changed, and the vertical displacement of the upper beam node is superimposed on the Z-axis coordinate of the corresponding node under the brace. At this time, U max Will gradually decrease.

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

[0055] Among them, Z (0) is the Z coordinate of the node under the initial strut, Z (1) It is the Z coordinate of the lower node of the strut after the first iteration.

[0056] (7)When U max When it drops by 20%-30%, multiply the initial strain of the cable by the reduction factor C. The factor C should be determined by trial calculation and is usually in the range of 0.3-0.7.

[0057] ε (2) =C (1) *ε (1)

[0058] (8) At this time, the observable structure U max and U min Are they roughly equal and smaller in value? If not equal or larger in value, repeat steps 3-7 above. Otherwise, repeat the update node in step 6 until the vertical displacement of the upper beam structure meets the requirements. The formula for the iterative step n 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] Take a ring-shaped string structure as an example. Assume that the boundary of a ring-shaped string structure is a saddle-shaped boundary, and the plane projection is an ellipse. The major axis span is 210m, the minor axis span is 168m, and the rise is 16m. The upper beam structure adopts a rib ring grid layout, and the lower cable system includes radial cables and annular cables. There are 72 radial cables in total, which form a cable network with the annular cables. In the structural model of this embodiment, the material parameters used for the upper beams, struts and lower cable system 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, the initial prestress and internal force of the ring cable and radial cables at main positions are shown in Table 2 below.

[0068] Table 2

[0069]

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

[0071] Example 2

[0072] An embodiment of the present invention further provides an electronic device, the 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 following Figure 4 A morphological analysis method for a ring-shaped string structure is shown.

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

[0074] The processor may include one or more processing cores. The processor uses various interfaces and lines to connect the various parts of the entire server, and 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 hardware form of digital signal processing (DSP), field programmable gate array (FPGA), and programmable logic array (PLA). The processor can integrate one or a combination of a central processing unit (CPU) and a modem. Among them, the CPU mainly processes the operating system and application programs; the modem is used to process wireless communications. It can be understood that the above-mentioned modem may not be integrated into the processor, but implemented separately through a chip.

[0075] Since the electronic device is an electronic device corresponding to the morphological analysis method for annular string structures in an embodiment of the present invention, and the principle of solving the problem by the electronic device is similar to that of the method, the implementation of the electronic device can refer to the implementation process of the above-mentioned method embodiment, and the repeated parts will not be repeated.

[0076] Example 3

[0077] The embodiment of the present invention further provides a computer-readable storage medium, wherein the storage medium stores at least one instruction, at least one program, code set or instruction set, and the at least one instruction, the at least one program, the code set or instruction set is loaded and executed by a processor to implement the following Figure 4 A morphological analysis method for a ring-shaped string structure is shown.

[0078] Those skilled in the art can understand that all or part of the steps in the various methods of the above embodiments can be completed by instructing related hardware through a program, and the program can be stored in a computer-readable storage medium, and the storage medium includes 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 electronically erasable rewritable read-only memory (EEPROM), a compact disc (CD-ROM) or other optical disc storage, magnetic disk storage, magnetic tape storage, or any other computer-readable medium that can be used to carry or store data.

[0079] Since the storage medium is a storage medium corresponding to a morphological analysis method for an annular string structure in an embodiment of the present invention, and the principle of solving the problem by the storage medium is similar to that of the method, the implementation of the storage medium can refer to the implementation process of the above-mentioned method embodiment, and the repeated parts will not be repeated.

[0080] Example 4

[0081] In some possible implementations, various aspects of the method of the embodiment of the present invention may also be implemented in the form of a program product, which includes a program code. When the program product is run on a computer device, the program code is used to enable the computer device to execute the steps of the morphological analysis method for a ring-shaped string structure according to various exemplary embodiments of the present application described above in this specification. Among them, the executable computer program code or "code" for executing various embodiments may 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 the various parts of the present invention can be implemented by hardware, software, firmware or a combination thereof. In the above-mentioned embodiments, a plurality of steps or methods can be implemented by software or firmware stored in a memory and executed by a suitable instruction execution system. For example, if implemented by hardware, as in another embodiment, it can be implemented by any one of the following technologies known in the art or their combination: a discrete logic circuit having a logic gate circuit for implementing a logic function for a data signal, a dedicated integrated circuit having a suitable combination of logic gate circuits, a programmable gate array (PGA), a field programmable gate array (FPGA), etc.

[0083] In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "example", "specific example", or "some examples" etc. means that the specific features, structures, materials or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representations of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials or characteristics described may be combined in any one or more embodiments or examples in a suitable manner. In addition, those skilled in the art may combine and combine the different embodiments or examples described in this specification and the features of the different embodiments or examples, without contradiction.

[0084] The above embodiments are only for illustrating the technical concept and features of the present invention, and their purpose is to enable ordinary technicians in the field to understand the content of the present invention and implement it accordingly, and they cannot be used to limit the protection scope of the present invention. Any equivalent changes or modifications made based on the essence of the content of the present invention should be included in the protection scope of the present invention.

Claims

1. A morphological analysis method for a ring-shaped string structure, characterized in that: The following steps are involved: S1. Establish a structural model according to the target configuration, use the target configuration as the initial state of iterative calculation, and extract the initial length of the lower cable structure of the current structural model; S2. Give the cable structure initial prestress using the initial strain method; S3. Obtain the length of each cable in the cable system structure under the structural equilibrium state through nonlinear finite element calculation; S4, calculating the strain change of each cable according to the cable length obtained in step S1 and step S3, and updating the initial strain of the lower cable system structure according to the strain change; S5, when the initial strain is small, the upper beam structure of the annular string structure is vertically displaced downward as a whole, and steps S1 to S4 are repeated. The beam structure will gradually rise upward until it arches, and then proceed to the next step; S6. Update the coordinates of the lower cable node to reduce the vertical displacement of the upper beam structure. When it is reduced to a preset value, multiply the initial strain by the reduction factor C. S7, check whether the vertical displacement of the upper beam structure is similar and close to zero, if not, repeat steps S3 to S6; if yes, repeat the updating node in step S6 until the vertical displacement of the upper beam structure meets the preset requirements.

2. A morphological analysis method for an annular string structure according to claim 1, characterized in that: The annular string structure includes an upper rigid beam-rod structure and a lower flexible cable-rod structure; the beam-rod structure includes radial beams and annular rods; the cable-rod structure includes vertical struts and a cable system structure, wherein the cable system structure includes radial cables and annular cables.

3. A morphological analysis method for annular string structures according to claim 1, characterized in that: The annular string structure includes not only a regular string structure whose plane projection is a circle and whose boundary nodes are at the same elevation, but also a complex string structure whose plane projection is an ellipse, rectangle or polygon and whose boundary nodes are at unequal heights.

4. A morphological analysis method for annular string structures 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; otherwise, the strain change value is assigned a positive sign, and then the initial strain is updated.

5. The morphological analysis method for annular string structures according to claim 1, characterized in that: In step S6, only the vertical coordinates of the cable nodes are updated to keep the plane projection positions of the nodes unchanged, thereby ensuring that the braces are in a vertical state.

6. A morphological analysis method for annular string structures according to claim 1, characterized in that: The design configuration 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 under the initial prestress state or load state.

7. A morphological analysis method for an annular string structure according to claim 1, characterized in that: The reduction coefficient C has a value range of 0.3-0.

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 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, 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 according to any one of claims 1 to 7.

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