Method and device for checking single-axis tensile-shear strength of diamond-shaped grid structure
By using a uniaxial tensile-shear strength verification method for rhomboid grid structures, and by calculating the safety margin and structural optimization using formulas, the problem of time-consuming grid structure verification in existing technologies is solved, and rapid iterative strength verification is achieved.
Patent Information
- Application Number
- CN202511932025.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-12-19
- Publication Date
- 2026-01-20
AI Technical Summary
Existing methods for verifying the strength of grid structures rely on finite element simulation, which is time-consuming and unsuitable for variable parameter studies, thus failing to meet the rapid iteration requirements of aircraft design.
A method for verifying the uniaxial tensile and shear strength of a rhomboid grid structure is provided. By determining the size and load of the grid unit, the safety margin is calculated using a formula, and structural optimization is combined to improve the efficiency of strength verification.
It shortens the calculation time, increases the iteration speed of structural parameters, and meets the rapid iteration requirements of the aircraft design phase.
Smart Images
Figure CN121365467A_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The application belongs to the technical field of aircraft design, and particularly relates to a method and device for checking uniaxial tensile-shear strength of a rhombic grid structure. BACKGROUND
[0002] The existing strength checking of the grid structure needs to be obtained through finite element simulation, and the model grid and boundary conditions have a great influence on the calculation results, and the process of detailed model modeling and calculation is time-consuming; after the structural parameters are changed, the model needs to be repeatedly established, which is not conducive to the process of variable parameter research and scheme iterative optimization, and cannot meet the requirements of rapid iteration in the aircraft scheme design stage. SUMMARY
[0003] In order to solve the above problems, the application provides a method and device for checking uniaxial tensile-shear strength of a rhombic grid structure, so as to get rid of the limitation of the finite element calculation method.
[0004] The first aspect of the application provides a method for checking uniaxial tensile-shear strength of a rhombic grid structure, mainly comprising:
[0005] Step S1, determining the side length L of the grid unit, the long diagonal size 2a, the short diagonal size 2b, and the beam frame width h of the grid unit, wherein the grid unit is the smallest repeating unit constituting the grid structure, the grid unit is a rhombic beam frame, and the grid structure is part of the whole machine structure;
[0006] Step S2, obtaining the axial tensile load applied at the two ends of the long diagonal of the grid unit And the axial symmetric shear load applied at the four ends of the grid unit ;
[0007] Step S3, determining the safety margin of the grid unit according to the following formula :
[0008] ;
[0009] Wherein, is the yield strength of the grid structure, is the maximum internal stress;
[0010] When the axial force is greater than 0:
[0011] ;
[0012] When the axial force is less than 0:
[0013] .
[0014] Preferably, in step S1, the long diagonal dimension and the short diagonal dimension of the grid cell are obtained by measurement.
[0015] Preferably, in step S1, the long diagonal dimension and the short diagonal dimension of the grid cell are obtained by measuring the size of the grid structure and calculating the long diagonal dimension and the short diagonal dimension of the grid cell according to the number of grid cells in the grid structure.
[0016] Preferably, step S3 further comprises:
[0017] Step S4, when the safety margin is less than 0, optimizing the grid structure to enable the grid structure to resist the set tensile and compressive forces and shear forces.
[0018] Preferably, in step S4, optimizing the grid structure comprises modifying the number of grid cells.
[0019] Preferably, in step S4, optimizing the grid structure comprises modifying the shape of the grid cell.
[0020] The second aspect of the present application provides a device for checking the uniaxial tensile-shear strength of a rhombic grid structure, mainly comprising:
[0021] A grid size parameter acquisition module for determining the side length L, the long diagonal dimension 2a, the short diagonal dimension 2b of the grid cell, and the beam width h of the grid cell, wherein the grid cell is the smallest repeating unit that constitutes the grid structure, the grid cell is a rhombic beam, and the grid structure is part of the overall structure of the aircraft;
[0022] A load acquisition module for acquiring the axial tensile load applied at both ends of the long diagonal of the grid cell and the axial symmetric shear load applied at the four ends of the grid cell ;
[0023] A safety margin calculation module for determining the safety margin of the grid cell according to the following formula :
[0024] ;
[0025] wherein, is the yield strength of the grid structure, is the maximum internal stress;
[0026] When the axial force is greater than 0:
[0027] ;
[0028] When the axial force is less than 0:
[0029] .
[0030] Preferably, in the grid size parameter acquisition module, the long diagonal size and the short diagonal size of the grid unit are obtained by measurement.
[0031] Preferably, in the grid size parameter acquisition module, the long diagonal size and the short diagonal size of the grid unit are calculated according to the number of grid units in the grid structure by measuring the size of the grid structure.
[0032] Preferably, the device further comprises:
[0033] a structure optimization module, configured to optimize the grid structure to enable the grid structure to resist the set tensile and compressive force and shear force when the safety margin is less than 0.
[0034] Preferably, in the structure optimization module, the optimization of the grid structure comprises modifying the number of grid units.
[0035] Preferably, in the structure optimization module, the optimization of the grid structure comprises modifying the shape of the grid unit.
[0036] The third aspect of the present application provides a computer device, comprising a processor, a memory, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the diamond grid structure uniaxial tensile and shear strength checking method as described above.
[0037] The fourth aspect of the present application provides a readable storage medium, wherein the readable storage medium stores a computer program, and the computer program is executed by a processor to implement the diamond grid structure uniaxial tensile and shear strength checking method as described above.
[0038] The present application shortens the calculation time and accelerates the iteration speed of the structure parameters. BRIEF DESCRIPTION OF DRAWINGS
[0039] Figure 1 is a flowchart of a preferred embodiment of the diamond grid structure uniaxial tensile and shear strength checking method of the present application.
[0040] Figure 2 is a schematic diagram of the grid structure of the present application.
[0041] Figure 3 is a schematic diagram of the diamond cell structure of the grid structure of the embodiment shown in the present application. Figure 2
[0042] Figure 4 is a schematic diagram of the diamond cell stress of the present application. Figure 3
[0043] Figure 5 The rhombic cell shown in the present application Figure 3 is a schematic diagram of a rhombic cell subjected to an axial load alone.
[0044] Figure 6 The rhombic cell shown in the present application Figure 3 is a schematic diagram of a rhombic cell subjected to a shear load alone.
[0045] Figure 7 is a schematic diagram of a rhombic cell subjected to a shear load alone.
[0046] Figure 8 is a schematic diagram of a rhombic cell subjected to a shear load alone. DETAILED DESCRIPTION
[0047] For the purpose of making the technical solutions, advantages and purposes of the present application clearer, the technical solutions in the embodiments of the present application will be described in more detail below with reference to the drawings in the embodiments of the present application. In the drawings, the same or similar reference numerals represent the same or similar elements or elements having the same or similar functions throughout. The described embodiments are part of the embodiments of the present application, rather than all the embodiments of the present application. The embodiments described below with reference to the drawings are exemplary and are intended to explain the present application, and cannot be understood as a limitation of the present application. Based on the embodiments in the present application, all other embodiments obtained by those of ordinary skill in the art without creative labor fall within the scope of protection of the present application. The embodiments of the present application will be described in detail below with reference to the drawings.
[0048] The first aspect of the present application provides a method for checking the uniaxial tensile-shear strength of a rhombic grid structure, as shown in Figure 1 , mainly comprising:
[0049] Step S1, determining the side length L of the grid unit, the long diagonal size 2a, the short diagonal size 2b, and the beam width h of the grid unit, wherein the grid unit is the smallest repeating unit constituting the grid structure, the grid unit is a rhombic beam, and the grid structure is part of the overall structure;
[0050] Step S2, obtaining the axial tensile load applied at both ends of the long diagonal of the grid unit and the axial symmetric shear load applied at the four ends of the grid unit ;
[0051] Step S3, determining the safety margin of the grid unit according to the following formula :
[0052] ;
[0053] wherein, The yield strength of the lattice structure, The maximum internal stress;
[0054] When the axial tensile load Is greater than 0:
[0055] ;
[0056] When the axial tensile load Is less than 0:
[0057] .
[0058] As Figure 2 The lattice structure, according to the periodic characteristics of the structure, the minimum repeating unit (i.e. unit cell) is a rhombic truss as Figure 3 The length of the oblique side is L, the long diagonal is 2a, the short diagonal is 2b, the cross section is rectangular, the width is h, and the height is t.
[0059] Figure 4 The rhombic unit cell bears a unidirectional tensile load And shear load According to the principle of load superposition, the internal force of the beam when the tensile load And shear load Act respectively.
[0060] When acting alone As Figure 5 According to the deformation compatibility condition, the rotation angle of point A is The unknown bending moment is obtained:
[0061] .
[0062] There are the following geometric relationships:
[0063] .
[0064] Therefore, according to the symmetry condition, the axial force and bending moment distribution of beams AC, AD, BC and BD are:
[0065] .
[0066] When acting alone As Figure 6 The load is antisymmetric, and the axial force on beams AC, BD, AD and BC is:
[0067] .
[0068] Superimpose the above two types of forces, and according to the principle of load superposition, the final internal bending moment and axial force of the beam are:
[0069] .
[0070] After that, the equivalent stress of dangerous points is solved. Take beam AC as an example, the stress of beam section is:
[0071] ;
[0072] In the formula, M is the bending moment, F is the axial force, the bending moment and axial force inside the beam are obtained by using the above formula to replace, .
[0073] According to the bending moment and axial force distribution, the maximum stress must appear at the 8 end point positions A1-AC, A2-AC, C1-AC, C2-AC, A1-AD, A2-AD, D1-AD, D2-AD of beams AC and AD (since A1 point is shared by beams AC and AD, and the stress is discontinuous at the end point, A1-AC represents A1 point on beam AC, see Figure 7 )
[0074] .
[0075] Define the equivalent stress:
[0076] .
[0077] The grid strength failure criterion is determined as: Therefore, the grid safety margin is:
[0078] .
[0079] According to the symmetry of the rhombus, the failure criterion is as follows:
[0080] When , the damage criterion is:
[0081] .
[0082] If , the dangerous points A1-AC, B1-BD, C2-AC, D2-BD are tensile failure, if , the dangerous points A1-AD, B1-BC, C2-BC, D2-AD are tensile failure.
[0083] When , the damage criterion is:
[0084] .
[0085] If , the dangerous points A2-AD, B2-BC, C1-BC, D1-AD are compressive failure, if , the dangerous points A2-AC, B2-BD, C1-BD, D1-AC compressive failure.
[0086] For example, a certain metal diamond-shaped open grid structure bears a uniaxial tensile load of 200 N and a pure shear load of 300 N / mm, and the grid material is 7075-T7451. The properties of the materials used are shown in Table 1, and Table 2 shows the diamond-shaped opening size.
[0087] Table 1 Material properties
[0088]
[0089] Table 2 Laminated plate configuration table
[0090]
[0091] Since , the equivalent stress is calculated as:
[0092] .
[0093] The grid safety margin is:
[0094] .
[0095] Since , the points A1-AC, B1-BD, C2-AC, D2-BD are tensile failure.
[0096] In some optional embodiments, in step S1, the long diagonal dimension and the short diagonal dimension of the grid unit are obtained by measurement.
[0097] In some optional embodiments, in step S1, the size of the grid structure is measured, and the long diagonal dimension and the short diagonal dimension of the grid unit are calculated according to the number of grid units in the grid structure.
[0098] In the above embodiments, the long side and the short side of the grid structure can be measured respectively, and then the lengths of the two diagonals of the grid unit are calculated according to the number of diamond-shaped grid units of the long side and the number of diamond-shaped grid units of the short side respectively. After the diagonal lengths are determined, the side length L of the grid unit can be determined according to the Pythagorean theorem.
[0099] In some optional embodiments, step S3 is further followed by:
[0100] Step S4, when the safety margin is less than 0, optimizing the grid structure to enable the grid structure to resist the set tensile and compressive forces and shear forces.
[0101] According to the grid safety margin formula, it can be seen that when the stress in the grid exceeds the yield strength, the calculated safety margin is less than 0, and the grid structure is destroyed. Under the condition that the stress load is unchanged, only by optimizing the grid structure can the design requirements be met.
[0102] In some optional embodiments, the optimization of the grid structure in step S4 includes modifying the number of grid units.
[0103] In some optional embodiments, the optimization of the grid structure in step S4 includes modifying the shape of the grid units.
[0104] According to the calculation formula of the equivalent stress, it can be seen that the parameters of the equivalent stress involve the side length L of the grid unit, the long diagonal size 2a, the short diagonal size 2b, the beam width h of the grid unit, and other parameters. Modifying these parameters can reduce the equivalent stress and make it lower than the yield strength.
[0105] The second aspect of the present application provides a diamond grid structure uniaxial tension-shear strength checking device corresponding to the above method, mainly comprising:
[0106] A grid size parameter acquisition module is configured to determine the side length L of the grid unit, the long diagonal size 2a, the short diagonal size 2b, and the beam width h of the grid unit. The grid unit is the smallest repeating unit that constitutes the grid structure, and the grid unit is a diamond beam. The grid structure is part of the overall structure.
[0107] A load acquisition module is configured to acquire the axial tensile load applied at both ends of the long diagonal of the grid unit and the axial symmetric shear load applied at the four ends of the grid unit .
[0108] A safety margin calculation module is configured to determine the safety margin of the grid unit according to the following formula :
[0109] .
[0110] wherein is the yield strength of the grid structure, is the maximum internal stress;
[0111] When the axial force is greater than 0:
[0112] .
[0113] When the axial force is less than 0:
[0114] .
[0115] In some optional embodiments, in the grid size parameter acquisition module, the long diagonal size and the short diagonal size of the grid unit are obtained by measurement.
[0116] In some optional embodiments, in the grid size parameter acquisition module, the long diagonal size and the short diagonal size of the grid unit are calculated according to the number of grid units in the grid structure by measuring the size of the grid structure.
[0117] In some optional embodiments, the device further comprises:
[0118] a structure optimization module, configured to optimize the grid structure to enable the grid structure to resist the set tensile and compressive force and shear force when the safety margin is less than 0.
[0119] In some optional embodiments, in the structure optimization module, optimizing the grid structure comprises modifying the number of grid units.
[0120] In some optional embodiments, in the structure optimization module, optimizing the grid structure comprises modifying the shape of the grid unit.
[0121] In a third aspect of the present application, a computer device comprises a processor, a memory, and a computer program stored in the memory and executable on the processor, and the processor executes the computer program to implement the method for checking the uniaxial tensile and shear strength of the diamond grid structure.
[0122] In a fourth aspect of the present application, a computer readable storage medium stores a computer program, and the computer program is executed by a processor to implement the method for checking the uniaxial tensile and shear strength of the diamond grid structure. The computer readable storage medium can be included in the device described in the above embodiments; or it can exist separately and not be assembled into the device. The computer readable storage medium carries one or more programs, and when the one or more programs are executed by the device, data is processed according to the above method.
[0123] Reference will be made to the following description of the embodiments of the present application. Figure 8 Fig. 4 shows a structural schematic diagram of a computer device 400 suitable for implementing the embodiments of the present application. Figure 8 The computer device shown is only an example and should not impose any limitation on the functions and use range of the embodiments of the present application.
[0124] As Figure 8As shown, the computer device 400 includes a central processing unit (CPU) 401 which can perform various appropriate actions and processes in accordance with programs stored in a read only memory (ROM) 402 or programs loaded from a storage section 408 into a random access memory (RAM) 403. In the RAM 403, various programs and data required for the operation of the device 400 are also stored. The CPU 401, the ROM 402, and the RAM 403 are connected to each other through a bus 404. An input / output (I / O) interface 405 is also connected to the bus 404.
[0125] Connected to the I / O interface 405 are an input section 406 including a keyboard, a mouse, etc.; an output section 407 including a display device such as a cathode ray tube (CRT), a liquid crystal display (LCD), etc., and a speaker, etc.; a storage section 408 including a hard disk, etc.; and a communication section 409 including a network interface card such as a LAN card, a modem, etc. The communication section 409 performs communication processing via a network such as the Internet. A drive 410 is also connected to the I / O interface 405 as necessary. A removable recording medium 411 such as a magnetic disk, an optical disk, a magneto-optical disk, a semiconductor memory, etc. is attached to the drive 410 as necessary, so that a computer program read out therefrom is installed in the storage section 408 as necessary.
[0126] In particular, according to embodiments of the present application, the processes described above with reference to the flowcharts can be implemented as a computer software program. For example, embodiments of the present application include a computer program product comprising a computer program carried on a computer readable medium, the computer program comprising program code for executing the methods illustrated by the flowcharts. In such embodiments, the computer program can be downloaded and installed from a network via the communication section 409, and / or installed from the removable media 411. When the computer program is executed by the central processing unit (CPU) 401, the above-described functions defined in the methods of the present application are executed. Note that the computer storage medium of the present application can be either a computer readable signal medium or a computer readable storage medium or any combination of these two. The computer readable storage medium can be, for example but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus or device, or any suitable combination of the foregoing. More specific examples of the computer readable storage medium can include, but are not limited to, an electrical connection having one or more wires, a portable computer diskette, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing. In the present application, the computer readable storage medium can be any tangible medium that contains or stores a program that can be used by or in connection with an instruction execution system, apparatus or device. In the present application, the computer readable signal medium can include a data signal carried in a baseband or as part of a carrier wave, in which the computer readable program code is carried. Such a propagated data signal can take any of a variety of forms, including but not limited to electro-magnetic, optical, or any suitable combination thereof. The computer readable signal medium can also be any computer readable medium that is not a computer readable storage medium and that can communicate, propagate or transport a program for use by or in connection with an instruction execution system, apparatus or device. Program code contained on the computer readable medium can be transmitted by any suitable medium, including but not limited to wireless, wire line, optical fiber cable, RF, etc., or any suitable combination of the foregoing.
[0127] The computer program product of the present application can be a computer program embodied on a non-transitory computer readable medium. When the program runs on a computer, the flowchart and / or block diagram in the flowchart and / or block diagram can be implemented.
[0128] The modules or units described in the embodiments of the present application can be implemented by software or by hardware. The described modules or units can also be set in a processor, and the name of the module or unit does not constitute a limitation on the module or unit itself.
[0129] The above describes only the specific embodiments of the present application, but the protection scope of the present application is not limited thereto, and any changes or replacements within the technical scope disclosed by the present application can be easily thought of by those skilled in the art, which should be covered by the protection scope of the present application. Therefore, the protection scope of the present application should be subject to the protection scope of the claims.
Claims
1. A method for checking uniaxial tensile shear strength of a diamond lattice structure, characterized by, The method comprises: Step S1, determining the side length L, the long diagonal size 2a, the short diagonal size 2b of the grid unit, and the beam width h of the grid unit, wherein the grid unit is the smallest repeating unit constituting the grid structure, the grid unit is a rhombic beam, and the grid structure is part of the overall structure of the aircraft; Step S2, obtaining axial tensile load applied at both ends of the long diagonal of the grid unit and axial symmetric shear load applied at four ends of the grid unit ; Step S3, determining the safety margin of the grid cell according to the following formula : ； wherein the yield strength of the grid structure, the maximum internal stress; When the axial force is greater than 0: ； When the axial force is less than 0: 。 2. The diamond lattice structure uniaxial tensile shear strength checking method according to claim 1, wherein, In step S1, the long diagonal size and the short diagonal size of the grid unit are obtained by measurement.
3. The diamond lattice structure uniaxial tensile shear strength checking method according to claim 1, wherein, In step S1, the long diagonal size and the short diagonal size of the grid unit are calculated according to the number of grid units in the grid structure by measuring the size of the grid structure.
4. The diamond grid structure uniaxial tensile shear strength checking method according to claim 1, wherein, The method further comprises steps after step S3: Step S4, when the safety margin is less than 0, optimizing the grid structure to enable the grid structure to resist the set tensile and compressive forces and shear forces.
5. The diamond grid structure uniaxial tensile shear strength checking method according to claim 4, characterized in that, In step S4, optimizing the grid structure comprises modifying the number of grid units.
6. The diamond lattice structure uniaxial tensile shear strength checking method according to claim 4, wherein, In step S4, optimizing the grid structure comprises modifying the shape of the grid unit.
7. A device for checking the uniaxial tensile shear strength of a diamond grid structure, characterized in that The method comprises: A grid size parameter acquisition module is configured to determine the side length L, the long diagonal size 2a, the short diagonal size 2b of the grid unit, and the beam width h of the grid unit, wherein the grid unit is the smallest repeating unit constituting the grid structure, the grid unit is a rhombic beam, and the grid structure is part of the overall structure of the aircraft. The load acquisition module is configured to acquire an axial tensile load applied at two end portions of a long diagonal of the lattice unit and an axial symmetric shear load applied at four end portions of the lattice unit ; a safety margin calculation module configured to determine a safety margin of the grid cell according to the following equation : ； wherein the yield strength of the grid structure, the maximum internal stress; When the axial force is greater than 0: ； When the axial force is less than 0: 。 8. The diamond grid structure uniaxial tensile shear strength checking device according to claim 7, characterized in that, In the grid size parameter acquisition module, the long diagonal size and the short diagonal size of the grid unit are obtained by measurement.
9. The diamond grid structure uniaxial tensile shear strength checking device according to claim 7, characterized in that, In the grid size parameter acquisition module, the long diagonal size and the short diagonal size of the grid unit are calculated according to the number of grid units in the grid structure by measuring the size of the grid structure.
10. The diamond grid structure uniaxial tensile shear strength checking device according to claim 7, characterized in that, The device further comprises: A structure optimization module is configured to, when the safety margin is less than 0, optimize the grid structure to enable the grid structure to resist the set tensile and compressive forces and shear forces.
11. The diamond grid structure uniaxial tensile shear strength checking device according to claim 10, characterized in that, In the structure optimization module, optimizing the grid structure comprises modifying the number of grid units.
12. The diamond grid structure uniaxial tensile shear strength verification apparatus of claim 10, wherein, In the structure optimization module, optimizing the grid structure comprises modifying the shape of the grid unit.
13. A computer device, comprising: The computer program is executed by the processor to implement the rhombic grid structure uniaxial tensile and shear strength checking method according to any one of claims 1-6.
14. A readable storage medium, the readable storage medium storing a computer program, characterized in that, The computer program is executed by the processor to implement the rhombic grid structure uniaxial tensile and shear strength checking method according to any one of claims 1-6.