Geometric-force interactive design method and device for ring symmetric cable dome structure

Abstract

The application relates to a geometric-force interactive design method and device for a ring-symmetrical cable dome structure. Shape parameters of the ring-symmetrical cable dome structure are acquired first, and node coordinates corresponding to the shape parameters are determined through a pre-established shape design function to obtain a spatial geometric configuration diagram of the ring-symmetrical cable dome structure. Then, prestress distribution corresponding to the shape parameters and the node coordinates is determined through a pre-established interactive design function. Finally, the prestress distribution is changed according to requirements, so that the corresponding shape parameters and node coordinates are changed, and the node coordinates corresponding to the shape parameters meet preset requirements. The application realizes real-time linkage of geometric shapes and prestress distribution by establishing an interactive design equation for representing the prestress distribution by the shape parameters. The prestress distribution can be directly obtained when the geometric parameters are changed to change the shape, without complicated numerical calculation, so that the design efficiency of the cable dome structure is improved, and an effective approach is provided for geometric shape design in an initial state.

Description

Technical Field

[0001] This invention relates to the field of architectural design technology, and in particular to a geometric-force interactive design method and apparatus for a ring-shaped symmetrical cable dome structure. Background Technology

[0002] Cable-stayed dome structures have attracted widespread attention due to their novel structural configuration, lightweight design, and high efficiency. They have become a hot topic in the field of spatial structures, possessing immense vitality and broad application prospects. In cable-stayed dome structures, the design of the geometric shape is often accompanied by the prestressing design required to maintain the curvature of the surface. The strong correlation between the configuration and internal forces makes the design analysis more complex. Therefore, finding effective methods for the coordinated work of geometry and forces and promoting their application in engineering design is crucial.

[0003] Currently, extensive research has been conducted on the prestressed design (force-finding method) of cable-stayed dome structures. This primarily involves solving for prestress using linear algebraic matrix operations based on a given geometry. Under the same topology, if the geometric dimensions differ, matrix operations are required each time to find a feasible prestress distribution. As the number of layers in a cable-stayed dome structure increases, the variety of components grows, leading to a significant increase in the amount of matrix operations and a gradual decrease in efficiency. Therefore, finding a force-finding analysis method that does not rely on matrix operations is particularly important. Furthermore, due to the complex configuration of cable-stayed domes, it is difficult to obtain ideal geometry in a single design; therefore, methods for adjusting the geometry are crucial, yet few have been proposed to address this issue. Summary of the Invention

[0004] To address the aforementioned technical problems, this invention provides a geometry-force interactive design method and apparatus for annular symmetrical cable dome structures.

[0005] The technical solution adopted by this invention to solve its technical problem is: a geometry-force interactive design method for a ring-shaped symmetrical cable dome structure, comprising:

[0006] Obtain the shape parameters of the annular symmetrical cable dome structure, wherein the shape parameters include the number of cable dome layers m, the number of circumferentially distributed struts in the same layer n, and the radial spacing l between adjacent layers of struts. i The projection height h of the spine on the i-th layer of strut ti And the projected height h of the inclined cable on the i-th layer strut bi The height h of the i-th layer support rod i =h ti +h bi The bottom ends of the connected struts on the same layer and the spine cable are connected by diagonal cables, and the bottom ends of adjacent struts on the same layer are connected by ring cables.

[0007] The shape parameters are substituted into a pre-established shape design function to obtain the node coordinates of the annular symmetrical cable dome structure, wherein the shape design function characterizes the correspondence between the shape parameters and the node coordinates;

[0008] Substituting the shape parameters and node coordinates into the pre-established interactive design equations yields the prestress distribution of the annular symmetrical cable dome structure, wherein the interactive design equations characterize the correspondence between the shape parameters, node coordinates, and prestress distribution.

[0009] The prestress distribution is adjusted in the interactive design equation to obtain the adjusted shape parameters; based on the adjusted shape parameters and the shape design function, the adjusted node coordinates of the annular symmetrical cable dome structure are determined, thus completing the geometric-force interactive design of the annular symmetrical cable dome structure.

[0010] In one embodiment of this application, the mathematical expression of the shape design function is:

[0011]

[0012] In the formula, x ij It is the X-coordinate value of node j in the i-th layer; x ij It is the Y-coordinate value of node j in the i-th layer; z i It is the Z-coordinate value of the node in the i-th layer, including the Z-coordinate value z of the upper node of the strut in the i-th layer. ti and the Z-axis coordinate value of the next node z bi .

[0013] In one embodiment of this application, the mathematical expression of the interaction design equation is:

[0014]

[0015] In the formula, F t1 It is the tension of the first layer of the notochord, F b1 N1 is the tension of the first layer of inclined cables, N1 is the compressive force of the first layer of struts, and h is the compressive force. t1 h is the projected height of the spine on the first layer of struts. b1 L is the projected height of the inclined cable on the first layer of struts. t1 F is the length of the first layer of notochord. ti It is the tension F of the i-th layer of the canthoracic chord. bi N is the tension in the i-th layer of inclined cable. i It is the pressure of the i-th layer of struts, F hi L is the tension of the i-th layer of the ring cable. rti and L rbi These are the projected lengths of the i-th layer of spine and diagonal cables along the radial direction of the i-th layer of struts in the xoy plane, respectively, ω. iω is a topological parameter representing the annular array angle between the i-th layer strut and the adjacent layer struts; i L is determined based on the radial arrangement angle between the struts in each layer. rti and L rbi Determined based on the nodes in the shape design function.

[0016] In one embodiment of this application, the process of establishing the interaction design equation includes:

[0017] The annular symmetrical cable dome structure is equivalent to the facade geometry represented by a typical single cable truss, and the geometric-force relationship of the first layer of components and the geometric-force relationship of the i-th layer of components are obtained.

[0018] The mathematical expression for the geometric-force relationship of the first layer of components is:

[0019]

[0020] The mathematical expression for the geometric-force relationship of the i-th layer component is:

[0021]

[0022] In the formula, where F t1 It is the tension of the first layer of the notochord, F b1 N1 is the tension of the first layer of inclined cables, N1 is the compressive force of the first layer of struts, and T1 is the resultant force transmitted from the first layer to the second layer along the radial direction perpendicular to the Z-axis; L t1 and L b1 These are the lengths of the first layer of canine cord and oblique cord, respectively; F ti It is the tension F of the i-th layer of the canthoracic chord. bi N is the tension in the i-th layer of inclined cable. i It is the pressure of the i-th layer of struts, T i It is the resultant force transmitted from the i-th layer to the (i+1)-th layer along the radial direction perpendicular to the Z-axis; F hi L is the tension of the i-th layer of the ring cable; rti and L rbi L represents the projected lengths of the i-th layer of spine cable and diagonal cable along the radial direction of the i-th layer of strut in the xoy plane; ti and L bi These are the lengths of the i-th layer of thoracic and oblique cords, respectively; L' rti and L' rbi These are the projected lengths of the i-th layer of spine cable and diagonal cable along the radial direction of the (i+1)-th layer of strut in the xoy plane; when i = m, L' rtm and L' rbm These are the radial projection lengths of the m-th layer of ridge cable and oblique cable along the outer constraint boundary nodes in the xoy plane; L rti L rbi L ti Lbi L' rtm and L' rbm The node coordinates are determined based on the shape design function;

[0023] Based on the mathematical expressions for the geometric-force relationships of the first-layer components and the i-th-layer components, the prestress distribution of the first and i-th layers of the annular symmetrical cable dome structure is determined, wherein the mathematical expressions for the prestress distribution of the first and i-th layers of the annular symmetrical cable dome structure are:

[0024]

[0025]

[0026] Based on the mathematical expression of the prestress distribution of the first and i-th layers of the aforementioned annular symmetrical cable dome structure, the F of each layer... ti and T i-1 Based on the force transmission relationship, construct the mathematical expression of the interaction design equation.

[0027] In one embodiment of this application, the annular symmetrical cable dome structure is a Geiger-type cable dome, wherein ω i The mathematical expression is:

[0028]

[0029] In particular, the circumferential positions of the struts in each layer of the Geiger cable dome are the same.

[0030] In one embodiment of this application, the annular symmetrical cable dome structure is a Levy-type cable dome, wherein ω i The mathematical expression is:

[0031]

[0032] In the Levy-type cable dome, the struts of adjacent layers are arranged in a staggered circumferential angle, where L... i This represents the radial distance from the center of the projection of the i-th layer strut onto the xoy plane.

[0033] This application also provides a design device for a ring-shaped symmetrical cable dome structure, comprising:

[0034] The acquisition module is used to acquire the shape parameters of the annular symmetrical cable dome structure, wherein the shape parameters include the number of layers m of the cable dome, the number of circumferentially distributed struts n in the same layer, and the radial spacing l between adjacent struts. i The projection height h of the spine on the i-th layer of strut tiAnd the projected height h of the inclined cable on the i-th layer strut bi The height h of the i-th layer support rod i =h ti +h bi The bottom ends of the connected struts on the same layer and the spine cable are connected by diagonal cables, and the bottom ends of adjacent struts on the same layer are connected by ring cables.

[0035] The geometry module is used to substitute the shape parameters into a pre-established shape design function to obtain the node coordinates of the annular symmetrical cable dome structure, wherein the shape design function characterizes the correspondence between the shape parameters and the node coordinates;

[0036] The prestress distribution module is used to substitute the shape parameters and the node coordinates into a pre-established interactive design equation to obtain the prestress distribution of the annular symmetrical cable dome structure. The interactive design equation characterizes the correspondence between the shape parameters, node coordinates and prestress distribution.

[0037] An interactive design module is used to adjust the prestress distribution in the interactive design equation to obtain the adjusted shape parameters; based on the adjusted shape parameters and the shape design function, the adjusted node coordinates of the annular symmetrical cable dome structure are determined, thus completing the geometric-force interactive design of the annular symmetrical cable dome structure.

[0038] The beneficial effects of this invention are as follows: This application discloses a geometry-force interactive design method and apparatus for a ring-shaped symmetrical cable dome structure. First, the shape parameters of the ring-shaped symmetrical cable dome structure are obtained. Then, the node coordinates corresponding to the shape parameters are determined using a pre-established shape design function, resulting in a topological diagram of the ring-shaped symmetrical cable dome structure. Next, the prestress distribution corresponding to the shape parameters and node coordinates is determined using a pre-established interactive design function. Finally, the prestress distribution is changed according to requirements, thereby changing the corresponding shape parameters and node coordinates, ensuring that the node coordinates corresponding to the shape parameters meet preset requirements. This application achieves real-time linkage between geometry and prestress distribution by establishing an interactive design equation where the shape parameters represent the prestress distribution. Changing the geometric parameters allows for direct acquisition of the prestress distribution while altering the shape, eliminating the need for tedious linear algebra or node equilibrium equation solving, thus improving the design efficiency of the cable dome structure. Furthermore, by adjusting the feasible prestress distribution, cable dome structures with different geometric shapes can be obtained, providing an effective approach for initial geometry design. Attached Figure Description

[0039] Figure 1 This is a flowchart of a geometry-force interactive design method for a ring-shaped symmetrical cable dome structure according to the present invention;

[0040] Figure 2This is a schematic diagram of the two annular symmetrical cable dome structures shown in this application;

[0041] Figure 3 The equivalent facade of the cable dome used in the interaction design equation GP in this application;

[0042] Figure 4 This is a schematic diagram showing the layer-by-layer disassembly of the equivalent facade to illustrate the geometric-force relationship in this application;

[0043] Figure 5 This is a schematic diagram illustrating a calculation example of the Geiger-type cable dome in this application;

[0044] Figure 6 This is a schematic diagram illustrating a calculation example of the Levy-type cable dome in this application;

[0045] Figure 7 This is a schematic diagram illustrating an example of the adjustment of the Levy-type cable dome in this application;

[0046] Figure 8 This is a structural diagram of an interlocking design device for a ring-shaped symmetrical cable dome structure according to the present invention;

[0047] Figure 9 A schematic diagram of the structure of a computer system suitable for implementing the electronic device of the present application is shown. Detailed Implementation

[0048] The embodiments of this application will be described below with reference to the accompanying drawings and preferred embodiments. Those skilled in the art can easily understand other advantages and effects of this application from the content disclosed in this specification. This application can also be implemented or applied through other different specific embodiments, and various details in this specification can also be modified or changed based on different viewpoints and applications without departing from the spirit of this application. It should be understood that the preferred embodiments are only for illustrating this application and are not intended to limit the scope of protection of this application.

[0049] It should be noted that the illustrations provided in the following embodiments are only schematic representations of the basic concept of this application. Therefore, the drawings only show the components related to this application and are not drawn according to the actual number, shape and size of the components in the actual implementation. In the actual implementation, the form, quantity and proportion of each component can be arbitrarily changed, and the layout of the components may also be more complex.

[0050] Example

[0051] like Figure 1 As shown, the geometry-force interactive design method for a ring-shaped symmetrical cable dome structure in this application includes:

[0052] S110, Obtain the shape parameters of the annular symmetrical cable dome structure;

[0053] The geometric variations of the cable dome mainly come from the length, radial spacing, and spatial distribution of the struts.

[0054] Figure 2 Here are schematic diagrams of the two annular symmetrical cable dome structures shown in this application, as follows: Figure 2 As shown, the shape parameters include the number of cable dome layers m, the number of circumferential struts in the same layer n, and the radial spacing l between adjacent struts. i The projection height h of the spine on the i-th layer of strut ti And the projected height h of the inclined cable on the i-th layer strut bi The height h of the i-th layer support rod i =h ti +h bi The bottom ends of the connected struts on the same layer and the spine cable are connected by diagonal cables, and the bottom ends of adjacent struts on the same layer are connected by ring cables.

[0055] In this embodiment, the shape parameters can be obtained from the initial design file. After extracting the geometric shape parameters of the annular symmetrical cable dome structure from the design file, the shape parameters can be obtained.

[0056] S120, Substitute the shape parameters into the pre-established shape design function G to obtain the node coordinates of the annular symmetrical cable dome structure, wherein the shape design function G represents the correspondence between the shape parameters and the node coordinates;

[0057] The mathematical expression for the shape design function G is:

[0058]

[0059] In the formula, x ij It is the X-coordinate value of node j in the i-th layer; y ij It is the Y-coordinate value of node j in the i-th layer; z i It is the Z-coordinate value of the node in the i-th layer, including the Z-coordinate value z of the upper node of the strut in the i-th layer. ti and the Z-coordinate value of the next node z bi .

[0060] As shown in the above equation, by substituting the shape parameters into the shape design function G, the X, Y, and Z coordinates of each node of the cable dome can be obtained. Therefore, in this embodiment, the shape design function G represents the correspondence between the shape parameters and the node coordinates.

[0061] S130, Substitute the shape parameters and the node coordinates into the pre-established interactive design equation GP to obtain the prestress distribution P of the annular symmetrical cable dome structure, wherein the interactive design equation GP characterizes the correspondence between the shape parameters, node coordinates and the prestress distribution P;

[0062] The mathematical expression for the interaction design equation GP is as follows:

[0063]

[0064] In the formula, F t1 It is the tension of the first layer of the notochord, F b1 N1 is the tension of the first layer of inclined cables, N1 is the compressive force of the first layer of struts, and h is the compressive force. t1 h is the projected height of the spine on the first layer of struts. b1 L is the projected height of the inclined cable on the first layer of struts. t1 F is the length of the first layer of notochord. ti It is the tension F of the i-th layer of the canthoracic chord. bi N is the tension in the i-th layer of inclined cable. i It is the pressure of the i-th layer of struts, F hi L is the tension of the i-th layer of the ring cable. rti and L rbi These are the projected lengths of the i-th layer of spine and diagonal cables along the radial direction of the i-th layer of struts in the xoy plane, respectively, ω. i ω is a topological parameter representing the annular array angle between the i-th layer strut and the adjacent layer struts; i L is determined based on the radial arrangement angle between the struts in each layer. rti and L rbi The nodes are determined based on the shape design function G.

[0065] In this embodiment, by substituting the shape parameters and node coordinates into the above equation, the tension of each layer of ridge cable, the tension of the inclined cable, the compressive force of the strut, and the tension of the ring cables in all layers except the first layer can be calculated. These forces constitute the prestress distribution P of the entire annular symmetrical cable dome structure. Therefore, in this embodiment, the interactive design equation GP characterizes the correspondence between the shape parameters, node coordinates, and the prestress distribution P.

[0066] S140, adjust the prestress distribution P in the interactive design equation GP to obtain the adjusted shape parameters; determine the adjusted node coordinates of the annular symmetrical cable dome structure based on the adjusted shape parameters and the shape design function G, and complete the geometric-force interactive design of the annular symmetrical cable dome structure.

[0067] The interactive design equation GP and the shape design function G are linked by shape parameters. Designers can change the prestress distribution P of the annular symmetrical cable dome structure, so that the shape parameters and node coordinates change accordingly. In this way, the node coordinates of the annular symmetrical cable dome structure can meet the preset requirements. The preset requirements include both the geometric requirements and the prestress distribution P requirements.

[0068] In this application, since a feasible prestress distribution satisfies a specific set of proportional relationships corresponding to the geometric shape, there exists a special set of prestress distribution values ​​that can be represented by geometric parameters. By associating the geometric parameters with the prestress distribution values ​​based on the given cable dome structure topology, a geometric and force-based design can be achieved, avoiding complex matrix operations and providing an effective approach for initial state geometric design.

[0069] In one embodiment of this application, the process of establishing the interaction design equation (GP) includes:

[0070] The annular symmetrical cable dome structure is equivalent to the facade geometry represented by a typical single cable truss, and the geometric-force relationship of the first layer of components and the geometric-force relationship of the i-th layer of components are obtained.

[0071] Figure 3 The equivalent facade of the cable dome used in the interaction design equation GP in this application, such as Figure 3 As shown, specifically, based on the circumferential symmetry of the cable dome structure, its spatially distributed geometry can be equivalent to the facade geometry represented by a typical single cable truss.

[0072] Figure 4 This application presents a schematic diagram illustrating the equivalent facade layer by layer, showing the geometric-force relationships. Figure 4 As shown, the geometric-force relationships of the first-floor components in the equivalent facade in the horizontal and vertical directions are as follows:

[0073] The mathematical expression for the geometric-force relationship of the first layer of components is:

[0074]

[0075] The mathematical expression for the geometric-force relationship of the i-th layer component is:

[0076]

[0077] In the formula, where F t1 It is the tension of the first layer of the notochord, F b1 N1 is the tension of the first layer of inclined cables, N1 is the compressive force of the first layer of struts, and T1 is the resultant force transmitted from the first layer to the second layer along the radial direction perpendicular to the Z-axis; L t1 and L b1 These are the lengths of the first layer of canine cord and oblique cord, respectively; F ti It is the tension F of the i-th layer of the canthoracic chord. bi N is the tension in the i-th layer of inclined cable. i It is the pressure of the i-th layer of struts, T i It is the resultant force transmitted from the i-th layer to the (i+1)-th layer along the radial direction perpendicular to the Z-axis; F hiL is the tension of the i-th layer of the ring cable; rti and L rbi L represents the projected lengths of the i-th layer of spine cable and diagonal cable along the radial direction of the i-th layer of strut in the xoy plane; ti and L bi These are the lengths of the i-th layer of thoracic and oblique cords, respectively; L' rti and L' rbi These are the projected lengths of the i-th layer of spine cable and diagonal cable along the radial direction of the (i+1)-th layer of strut in the xoy plane; when i = m, L' rtm and L' rbm These are the radial projection lengths of the m-th layer of ridge cable and oblique cable along the outer constraint boundary nodes in the xoy plane; L rti L rbi L ti L bi L' rtm and L' rbm The node coordinates are determined based on the shape design function G;

[0078] Based on the mathematical expressions for the geometric-force relationships of the first-layer components and the i-th-layer components, the prestress distribution P of the first and i-th layers of the annular symmetrical cable dome structure is determined, wherein the mathematical expressions for the prestress distribution P of the first and i-th layers of the annular symmetrical cable dome structure are:

[0079]

[0080]

[0081] Based on the mathematical expression for the prestress distribution P of the first and i-th layers of the aforementioned annular symmetrical cable dome structure, F for each layer ti and T i-1 Based on the force transmission relationship, construct the mathematical expression of the interaction design equation GP.

[0082] This embodiment also demonstrates two different annular symmetrical cable dome structures, thereby affecting ω. i The parameters are explained as follows:

[0083] (1) The annular symmetrical cable dome structure is a Geiger-type cable dome, wherein ω i The mathematical expression is:

[0084]

[0085] In particular, the circumferential positions of the struts in each layer of the Geiger cable dome are the same.

[0086] Figure 5This is a schematic diagram illustrating a calculation example of the Geiger-type cable dome in this application. This application utilizes... Figure 5 The prestress distribution P of the Geiger cable dome is calculated using the table below.

[0087] Table 1. Calculation data for prestress distribution P of Geiger-type cable dome

[0088]

[0089] (2) The annular symmetrical cable dome structure is a Levy-type cable dome, wherein ω i The mathematical expression is:

[0090]

[0091] In the Levy-type cable dome, the struts of adjacent layers are arranged in a staggered circumferential angle, where L... i This represents the radial distance from the center of the projection of the i-th layer strut onto the xoy plane.

[0092] Figure 6 This is a schematic diagram illustrating a calculation example of the Levy-type cable dome in this application. This application utilizes... Figure 6 The prestress distribution P of the Levy cable dome is calculated using the table below.

[0093] Table 2. Calculation data of prestress distribution P for Levy-type cable dome

[0094]

[0095] Figure 7 This is a schematic diagram illustrating an example of the adjustment of the Levy-type cable dome in this application, as shown below. Figure 7 As shown, this application obtains different geometric shapes by adjusting the prestress distribution P of the Levy-type cable dome.

[0096] This application inputs shape parameters into the shape design function G to obtain the geometric shape and node coordinates of the cable dome structure. Then, by inputting the shape parameters and the obtained geometric coordinates into the interactive design module, a set of feasible prestress distributions P corresponding to the geometric shape can be directly obtained. This is the process of finding the force through geometric parameters. Then, by inputting a set of adjusted prestress distributions P into the interactive design function, the changes in shape parameters can be analyzed to adjust the geometric shape. This is the process of finding the geometric shape through the prestress distribution P. This can achieve effective linkage between the initial geometric shape and the prestress distribution P.

[0097] This application presents a geometry-force interactive design method for a ring-shaped symmetrical cable dome structure. First, the shape parameters of the ring-shaped symmetrical cable dome structure are obtained. Then, a pre-established shape design function G is used to determine the node coordinates corresponding to the shape parameters, thus obtaining the topological structure diagram of the ring-shaped symmetrical cable dome structure. Next, the pre-established interactive design function determines the prestress distribution P corresponding to the shape parameters and node coordinates. Finally, the prestress distribution P is changed according to requirements, thereby changing the corresponding shape parameters and node coordinates, ensuring that the node coordinates corresponding to the shape parameters meet the preset requirements. This application achieves real-time linkage between the geometry and the prestress distribution P by establishing an interactive design equation GP in which the shape parameters represent the prestress distribution P. Changing the geometric parameters to change the shape allows for direct acquisition of the prestress distribution P, eliminating the need for tedious linear algebra or node equilibrium equation solving, thus improving the design efficiency of the cable dome structure. Furthermore, by adjusting the feasible prestress distribution P, cable dome structures with different geometric shapes can also be obtained, providing an effective approach for initial geometric shape design.

[0098] like Figure 8 As shown, this application also provides a design device for a ring-shaped symmetrical cable dome structure, comprising:

[0099] The acquisition module is used to acquire the shape parameters of the annular symmetrical cable dome structure, wherein the shape parameters include the number of layers m of the cable dome, the number of circumferentially distributed struts n in the same layer, and the radial spacing l between adjacent struts. i The projection height h of the spine on the i-th layer of strut ti And the projected height h of the inclined cable on the i-th layer strut bi The height h of the i-th layer support rod i =h ti +h bi The bottom ends of the connected struts on the same layer and the spine cable are connected by diagonal cables, and the bottom ends of adjacent struts on the same layer are connected by ring cables.

[0100] The geometry module is used to substitute the shape parameters into a pre-established shape design function G to obtain the node coordinates of the annular symmetrical cable dome structure, wherein the shape design function G represents the correspondence between the shape parameters and the node coordinates;

[0101] The prestress distribution module P is used to substitute the shape parameters and the node coordinates into the pre-established interactive design equation GP to obtain the prestress distribution P of the annular symmetrical cable dome structure. The interactive design equation GP represents the correspondence between the shape parameters, node coordinates and the prestress distribution P.

[0102] The interactive design module is used to adjust the prestress distribution P in the interactive design equation GP to obtain the adjusted shape parameters; based on the adjusted shape parameters and the shape design function G, the adjusted node coordinates of the annular symmetrical cable dome structure are determined, thus completing the geometric-force interactive design of the annular symmetrical cable dome structure.

[0103] This application discloses a geometry-force interactive design device for a ring-shaped symmetrical cable dome structure. First, the shape parameters of the ring-shaped symmetrical cable dome structure are obtained. Then, the node coordinates corresponding to the shape parameters are determined using a pre-established shape design function G, resulting in a topological diagram of the ring-shaped symmetrical cable dome structure. Next, the pre-established interactive design function determines the prestress distribution P corresponding to the shape parameters and node coordinates. Finally, the prestress distribution P is changed according to requirements, thereby changing the corresponding shape parameters and node coordinates, ensuring that the node coordinates corresponding to the shape parameters meet preset requirements. This application achieves real-time linkage between the geometry and the prestress distribution P by establishing an interactive design equation GP in which the shape parameters represent the prestress distribution P. Changing the geometric parameters to change the shape allows for direct acquisition of the prestress distribution P, eliminating the need for tedious linear algebra or node equilibrium equation solving, thus improving the design efficiency of the cable dome structure. Furthermore, by adjusting the feasible prestress distribution P, cable dome structures with different geometric shapes can be obtained, providing an effective approach for initial geometric shape design.

[0104] Figure 9 A schematic diagram of a computer system suitable for implementing the embodiments of this application is shown. It should be noted that... Figure 9 The computer system 900 of the electronic device shown is merely an example and should not impose any limitation on the functionality and scope of use of the embodiments of this application.

[0105] like Figure 9 As shown, the computer system 900 includes a Central Processing Unit (CPU) 901, which can perform various appropriate actions and processes, such as executing the methods described in the above embodiments, based on programs stored in Read-Only Memory (ROM) 902 or programs loaded from storage portion 908 into Random Access Memory (RAM) 903. The RAM 903 also stores various programs and data required for system operation. The CPU 901, ROM 902, and RAM 903 are interconnected via a bus 904. An Input / Output (I / O) interface 905 is also connected to the bus 904.

[0106] The following components are connected to I / O interface 905: an input section 906 including a keyboard, mouse, etc.; an output section 907 including a cathode ray tube (CRT), liquid crystal display (LCD), etc., and speakers, etc.; a storage section 908 including a hard disk, etc.; and a communication section 909 including a network interface card such as a LAN (Local Area Network) card, modem, etc. The communication section 909 performs communication processing via a network such as the Internet. A drive 910 is also connected to I / O interface 905 as needed. Removable media 911, such as a disk, optical disk, magneto-optical disk, semiconductor memory, etc., are installed on drive 910 as needed so that computer programs read from them can be installed into storage section 908 as needed.

[0107] Specifically, according to embodiments of this application, the processes described above with reference to the flowcharts can be implemented as computer software programs. For example, embodiments of this application include a computer program product comprising a computer program carried on a computer-readable medium, the computer program including a computer program for performing the methods shown in the flowcharts. In such embodiments, the computer program can be downloaded and installed from a network via communication section 909, and / or installed from removable medium 911. When the computer program is executed by central processing unit (CPU) 901, it performs various functions defined in the system of this application.

[0108] It should be noted that the computer-readable medium shown in the embodiments of this application can be a computer-readable signal medium or a computer-readable storage medium, or any combination of the two. A computer-readable storage medium can be, for example, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any combination thereof. More specific examples of a computer-readable storage medium may include, but are not limited to: an electrical connection having one or more wires, a portable computer disk, a hard disk, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM), flash memory, optical fiber, portable compact disc read-only memory (CD-ROM), optical storage device, magnetic storage device, or any suitable combination thereof. In this application, a computer-readable signal medium may include a data signal propagated in baseband or as part of a carrier wave, carrying a computer-readable computer program. Such propagated data signals can take various forms, including but not limited to electromagnetic signals, optical signals, or any suitable combination thereof. Computer-readable signal media can also be any computer-readable medium other than computer-readable storage media, which can send, propagate, or transmit a program for use by or in connection with an instruction execution system, apparatus, or device. The computer program contained on the computer-readable medium can be transmitted using any suitable medium, including but not limited to wireless, wired, etc., or any suitable combination thereof.

[0109] The flowcharts and block diagrams in the accompanying drawings illustrate the architecture, functionality, and operation of possible implementations of systems, methods, and computer program products according to various embodiments of this application. Each block in a flowchart or block diagram may represent a module, segment, or portion of code, which contains one or more executable instructions for implementing a specified logical function. It should also be noted that in some alternative implementations, the functions indicated in the blocks may occur in a different order than those indicated in the drawings. For example, two consecutively indicated blocks may actually be executed substantially in parallel, and they may sometimes be executed in reverse order, depending on the functions involved. It should also be noted that each block in a block diagram or flowchart, and combinations of blocks in a block diagram or flowchart, can be implemented using a dedicated hardware-based system that performs the specified function or operation, or using a combination of dedicated hardware and computer instructions.

[0110] The units described in the embodiments of this application can be implemented in software or hardware, and the described units can also be located in a processor. The names of these units do not necessarily limit the specific unit itself.

[0111] Another aspect of this application provides a computer-readable storage medium storing a computer program thereon, which, when executed by a computer's processor, causes the computer to perform the method as described above. This computer-readable storage medium may be included in the electronic device described in the above embodiments, or it may exist independently and not assembled into the electronic device.

[0112] Another aspect of this application provides a computer program product or computer program including computer instructions stored in a computer-readable storage medium. A processor of a computer device reads the computer instructions from the computer-readable storage medium and executes the computer instructions, causing the computer device to perform the air target pollutant component forecasting model training and forecasting method provided in the various embodiments above.

[0113] The above embodiments are merely preferred embodiments provided to fully illustrate this application, and the scope of protection of this application is not limited thereto. Equivalent substitutions or modifications made by those skilled in the art based on this application are all within the scope of protection of this application.

Claims

1. A geometry-force interactive design method for a ring-shaped symmetrical cable dome structure, characterized in that, include: Obtain the shape parameters of the annular symmetrical cable dome structure, wherein the shape parameters include the number of cable dome layers m, the number of circumferentially distributed struts in the same layer n, and the radial spacing l between adjacent layers of struts. i The projection height h of the spine on the i-th layer of strut ti And the projected height h of the inclined cable on the i-th layer strut bi The height h of the i-th layer support rod i = h ti + h bi The bottom ends of the connected struts on the same layer and the spine cable are connected by diagonal cables, and the bottom ends of adjacent struts on the same layer are connected by ring cables. The shape parameters are substituted into a pre-established shape design function to obtain the node coordinates of the annular symmetrical cable dome structure, wherein the shape design function characterizes the correspondence between the shape parameters and the node coordinates; Substituting the shape parameters and node coordinates into the pre-established interactive design equations yields the prestress distribution of the annular symmetrical cable dome structure, wherein the interactive design equations characterize the correspondence between the shape parameters, node coordinates, and prestress distribution. The prestress distribution is adjusted in the interactive design equation to obtain the adjusted shape parameters; the adjusted node coordinates of the annular symmetrical cable dome structure are determined based on the adjusted shape parameters and the shape design function, thus completing the geometric-force interactive design of the annular symmetrical cable dome structure. The mathematical expression for the shape design function is: ； in, It is the X-coordinate value of node j in the i-th layer; It is the Y-coordinate value of node j in the i-th layer; It is the Z-coordinate value of the node in the i-th layer, including the Z-coordinate value of the upper node of the strut in the i-th layer. and the Z-coordinate value of the next node ; The mathematical expression of the interaction design equation is: ； in, It is the tension of the first layer of the notochord. It is the tension of the first layer of inclined cables. It is the pressure of the first layer of support rods. The projection height of the spine on the first layer of struts. The projected height of the inclined cable on the first layer of struts. The length of the first layer of notochord. It is the first The tension of the chords, It is the first The tension of the inclined cable, It is the first The pressure of the layer struts, It is the first The tension of the layered ring cable, and They are the first The ridges and obliques are along the first layer in the xoy plane. The radial projected length of the layer strut. It is a topological parameter of the annular array angle between the i-th layer strut and the adjacent layer strut; Determined based on the radial arrangement angle between the struts in each layer. and Determined based on the nodes in the shape design function; The process of establishing the interaction design equation includes: The annular symmetrical cable dome structure is equivalent to the facade geometry represented by a typical single cable truss, and the geometric-force relationship of the first layer of components and the geometric-force relationship of the i-th layer of components are obtained. The mathematical expression for the geometric-force relationship of the first layer of components is: ； The mathematical expression for the geometric-force relationship of the i-th layer component is: ； in, It is the tension of the first layer of the notochord. It is the tension of the first layer of inclined cables. It is the pressure of the first layer of support rods. It is the resultant force transmitted from the first layer to the second layer along the radial direction perpendicular to the Z-axis; and These are the lengths of the first layer of canine cord and oblique cord, respectively; It is the first The tension of the chords, It is the first The tension of the inclined cable, It is the first The pressure of the layer struts, It is the first Layer to the first The resultant force of layer +1 along the radial direction perpendicular to the Z-axis; It is the first The tension of the layered ring cable; and They are the first The ridges and obliques are along the first layer in the xoy plane. The radial projected length of the layer strut; and They are the first The lengths of the ridge and oblique cables; and They are the first The ridges and obliques are along the first layer in the xoy plane. +1 layer of support rod radial projection length; when i=m and These are the radial projection lengths of the m-th layer of ridge cable and oblique cable along the outer constraint boundary nodes on the xoy plane; , , , , and The node coordinates are determined based on the shape design function; Based on the mathematical expressions for the geometric-force relationships of the first-layer components and the i-th-layer components, the prestress distribution of the first and i-th layers of the annular symmetrical cable dome structure is determined, wherein the mathematical expressions for the prestress distribution of the first and i-th layers of the annular symmetrical cable dome structure are: ； ； Based on the mathematical expression of the prestress distribution of the first and i-th layers of the aforementioned annular symmetrical cable dome structure, each layer... and Based on the force transmission relationship, construct the mathematical expression of the interaction design equation.

2. The geometry-force interactive design method for a ring-shaped symmetrical cable dome structure according to claim 1, characterized in that, The annular symmetrical cable dome structure is a Geiger-type cable dome, wherein... The mathematical expression is: ； In particular, the circumferential positions of the struts in each layer of the Geiger cable dome are the same.

3. The geometry-force interactive design method for a ring-shaped symmetrical cable dome structure according to claim 1, characterized in that, The annular symmetrical cable dome structure is a Levy-type cable dome, wherein... The mathematical expression is: ； In the Levy-type cable dome, the struts of adjacent layers are arranged in a staggered, circumferential pattern at equal angles. In the formula, This represents the radial distance from the center of the projection of the i-th layer strut onto the xoy plane. .

4. A design device for a ring-shaped symmetrical cable dome structure, characterized in that, include: The acquisition module is used to acquire the shape parameters of the annular symmetrical cable dome structure, wherein the shape parameters include the number of layers m of the cable dome, the number of circumferentially distributed struts n in the same layer, and the radial spacing l between adjacent struts. i The projection height h of the spine on the i-th layer of strut ti And the projected height h of the inclined cable on the i-th layer strut bi The height h of the i-th layer support rod i = h ti + h bi The bottom ends of the connected struts on the same layer and the spine cable are connected by diagonal cables, and the bottom ends of adjacent struts on the same layer are connected by ring cables. The geometry module is used to substitute the shape parameters into a pre-established shape design function to obtain the node coordinates of the annular symmetrical cable dome structure, wherein the shape design function characterizes the correspondence between the shape parameters and the node coordinates; The prestress distribution module is used to substitute the shape parameters and the node coordinates into a pre-established interactive design equation to obtain the prestress distribution of the annular symmetrical cable dome structure. The interactive design equation characterizes the correspondence between the shape parameters, node coordinates and prestress distribution. An interactive design module is used to adjust the prestress distribution in the interactive design equation to obtain the adjusted shape parameters; based on the adjusted shape parameters and the shape design function, the adjusted node coordinates of the annular symmetrical cable dome structure are determined, thus completing the geometric-force interactive design of the annular symmetrical cable dome structure. The mathematical expression for the shape design function is: ； in, It is the X-coordinate value of node j in the i-th layer; It is the Y-coordinate value of node j in the i-th layer; It is the Z-coordinate value of the node in the i-th layer, including the Z-coordinate value of the upper node of the strut in the i-th layer. and the Z-coordinate value of the next node ; The mathematical expression of the interaction design equation is: ； in, It is the tension of the first layer of the notochord. It is the tension of the first layer of inclined cables. It is the pressure of the first layer of support rods. The projection height of the spine on the first layer of struts. The projected height of the inclined cable on the first layer of struts. The length of the first layer of notochord. It is the first The tension of the chords, It is the first The tension of the inclined cable, It is the first The pressure of the layer struts, It is the first The tension of the layered ring cable, and They are the first The ridges and obliques are along the first layer in the xoy plane. The radial projected length of the layer strut. It is a topological parameter of the annular array angle between the i-th layer strut and the adjacent layer strut; Determined based on the radial arrangement angle between the struts in each layer. and Determined based on the nodes in the shape design function; The process of establishing the interaction design equation includes: The annular symmetrical cable dome structure is equivalent to the facade geometry represented by a typical single cable truss, and the geometric-force relationship of the first layer of components and the geometric-force relationship of the i-th layer of components are obtained. The mathematical expression for the geometric-force relationship of the first layer of components is: ； The mathematical expression for the geometric-force relationship of the i-th layer component is: ； in, It is the tension of the first layer of the notochord. It is the tension of the first layer of inclined cables. It is the pressure of the first layer of support rods. It is the resultant force transmitted from the first layer to the second layer along the radial direction perpendicular to the Z-axis; and These are the lengths of the first layer of canine cord and oblique cord, respectively; It is the first The tension of the chords, It is the first The tension of the inclined cable, It is the first The pressure of the layer struts, It is the first Layer to the first The resultant force of layer +1 along the radial direction perpendicular to the Z-axis; It is the first The tension of the layered ring cable; and They are the first The ridges and obliques are along the first layer in the xoy plane. The radial projected length of the layer strut; and They are the first The lengths of the ridge and oblique cables; and They are the first The ridges and obliques are along the first layer in the xoy plane. +1 layer of support rod radial projection length; when i=m and These are the radial projection lengths of the m-th layer of ridge cable and oblique cable along the outer constraint boundary nodes on the xoy plane; , , , , and The node coordinates are determined based on the shape design function; Based on the mathematical expressions for the geometric-force relationships of the first-layer components and the i-th-layer components, the prestress distribution of the first and i-th layers of the annular symmetrical cable dome structure is determined, wherein the mathematical expressions for the prestress distribution of the first and i-th layers of the annular symmetrical cable dome structure are: ； ； Based on the mathematical expression of the prestress distribution of the first and i-th layers of the aforementioned annular symmetrical cable dome structure, each layer... and Based on the force transmission relationship, construct the mathematical expression of the interaction design equation.

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