Elastic-Plastic Analysis Method for In-Plane Equivalent Mechanical Properties of Rectangular Honeycomb Structures

Through the elastic-plastic analysis method of in-plane equivalent mechanical properties of rectangular honeycomb structures, the problems of low efficiency and high cost in the existing technology are solved, efficient design and optimization are achieved, and product design cycle is shortened.

CN115728143BActive Publication Date: 2025-08-26GUANGZHOU UNIVERSITY
View PDF 2 Cites 0 Cited by

Patent Information

Application Number
CN202211462326.7
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-11-21
Publication Date
2025-08-26
Estimated Expiration
2042-11-21

AI Technical Summary

Technical Problem

The prior art is inefficient and costly when analyzing the in-plane mechanical properties of rectangular honeycomb structures, making it difficult to provide convenient design and optimization solutions, and extends the product design cycle.

Method used

A elastic-plastic analysis method of equivalent mechanical properties in the plane of rectangular honeycomb structure is adopted. By obtaining representative cell elements, using structural symmetry to determine a quarter of the simplified structure, and determining displacement based on the axial force, shear force and bending moment equations, the equivalent strain and stress are then calculated. Combined with the principle of virtual work and elastic-plastic theory, the elastic and plastic stages of the structure are considered.

Benefits of technology

Improve analysis efficiency, reduce costs, provide convenient design and optimization solutions, and shorten product design cycle.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN115728143B_ABST
    Figure CN115728143B_ABST
Patent Text Reader

Abstract

The present invention discloses an elastic-plastic theory analysis method for the in-plane equivalent mechanical properties of a rectangular honeycomb structure. First, a representative cell is selected from a periodically arranged rectangular honeycomb structure, and the symmetry is used to further simplify the cell. At the same time, the virtual work principle is used to calculate and obtain the equivalent displacement, Young's modulus and Poisson's ratio of the structural cell. When analyzing its deformation behavior when subjected to forces in different directions, the deformation of the wall panel takes into account axial deformation, shear deformation and bending deformation, and also considers two different analysis stages of elastic deformation and plastic deformation. The effectiveness of the method in this article is then verified using a finite element model, and the influence of key structural parameters on the in-plane equivalent mechanical properties of the rectangular honeycomb structure is studied in combination with parameter analysis. The analysis method of the present invention is based on solving a series of equations, has the advantages of high efficiency and economy, and can provide convenient design and optimization solutions for enterprises in related industries, shortening the product design cycle.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The present application relates to the technical field of honeycomb structures, and in particular to an elastic-plastic analysis method for the in-plane equivalent mechanical properties of a rectangular honeycomb structure. Background Art

[0002] A honeycomb structure is composed of a series of regular hexagonal cells, with the cells facing downward or to one side, arranged symmetrically back to back. Its beautiful structure and symmetrical shape combine to create a high specific strength and stiffness. It can withstand high forces with less material, yet is 70-90% lighter. Furthermore, honeycomb structures offer numerous excellent properties, including sound insulation, heat insulation, shock absorption, and energy absorption. Consequently, they are widely used in various fields, including construction, transportation, mechanical engineering, aerospace, and chemical and biological engineering.

[0003] In this context, the present invention proposes an elastic-plastic analysis method for the in-plane equivalent mechanical properties of a rectangular honeycomb structure. Based on the force direction, actual deformation and structural parameters of the structure, an elastic-plastic analysis method is established to reflect the constitutive relationship of the same rectangular honeycomb structure. Finally, the analysis method proposed in this article provides a computing device and at least one system, and at least one sequenced list program of executable instructions. The analysis method of the present invention is based on solving a series of equations. Compared with traditional numerical methods and experimental methods, it has the advantages of high efficiency and economy. It can provide convenient design and optimization solutions for enterprises in related industries and shorten the product design cycle. Summary of the Invention

[0004] The present invention proposes an elastic-plastic analysis method for the in-plane equivalent mechanical properties of rectangular honeycomb structures. Compared with traditional numerical and experimental methods, this method is more efficient and economical. It can provide convenient design and optimization solutions for enterprises in related industries and shorten the product design cycle.

[0005] The above technical objectives of the present invention are achieved through the following solutions:

[0006] An elastic-plastic analysis method for the in-plane equivalent mechanical properties of a rectangular honeycomb structure comprises the following steps:

[0007] Get the representative cell;

[0008] According to the representative cell, a quarter simplified structure is determined by utilizing structural symmetry;

[0009] According to the load bearing conditions of the simplified structure in different directions, boundary constraints are imposed on the simplified structure to determine the axial force, shear force and bending moment equations acting on the wall panels of the structure;

[0010] According to the axial force, shear force and bending moment equations, the displacement of the key section of the quarter simplified structure in different directions is determined using the principle of virtual work and elastic-plastic theory;

[0011] Determine the strain of the simplified structure based on the displacement, and then determine the equivalent strain and equivalent stress of the representative cell and the entire structure;

[0012] According to the equivalent strain and equivalent stress, the equivalent Young's modulus and equivalent Poisson's ratio of the structure are determined.

[0013] Preferably, when the structure is in the elastic stage and is subjected only to the force in the x-direction, the ratio of its equivalent Poisson modulus to its equivalent Young modulus can be expressed by formula (1):

[0014]

[0015] When the structure is in the elastic stage and is only subjected to force in the y direction, its equivalent Poisson modulus and equivalent Young modulus are expressed by formula (2):

[0016]

[0017] Preferably, when the structure is in the plastic stage and is subjected only to force in the x-direction, its equivalent Poisson's ratio and equivalent Young's modulus can be expressed by formula (3):

[0018]

[0019] When the structure is in the plastic stage and is only subjected to force in the y direction, its equivalent Poisson's ratio and equivalent Young's modulus can be expressed by formula (4):

[0020]

[0021] Preferably, when the structure is subjected to forces in other directions, the forces in the x-direction and the y-direction are superimposed and calculated.

[0022] The present invention also provides an electronic device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the program, the method according to any one of claims 1 to 4 is implemented.

[0023] The present invention also provides a computer-readable storage medium having a computer program stored thereon, which implements the method according to any one of claims 1 to 4 when executed by a processor.

[0024] Compared with the prior art, the present invention has the following advantages:

[0025] First, the periodically arranged rectangular honeycomb structure is considered as an anisotropic material, and a representative cell is selected from the structure for mechanical analysis. When performing mechanical analysis on the cell structure, the stress can be equivalent to a concentrated force acting at the symmetry point of the structure. The advantage of this is that it facilitates the calculation of the axial force, shear force, and bending moment within the structure's plane. Secondly, the principle of symmetry can be used to obtain a quarter-simplified load-bearing structure. In this case, the load-bearing structure is a statically indeterminate structure in structural mechanics, taking into account the axial deformation, shear deformation, and bending deformation of the wall panels. The principle of virtual work can be used to calculate the axial force, shear force, and bending moment of the structural wall panels. Finally, the displacement of the key wall panel section of the quarter-simplified structure can be calculated based on Karl-Heinz's second theorem and the internal forces of the structure, thereby obtaining the equivalent displacement of the structural cell. The equivalent displacement can be used to calculate the equivalent strain and equivalent stress, thereby obtaining the equivalent Young's modulus and equivalent Poisson's ratio. It is worth noting that the elastic-plastic analysis method for the in-plane equivalent mechanical properties of a rectangular honeycomb structure proposed in the present invention is an elastic-plastic analysis method because it takes into account the yield limit of the structure. When a force analysis is performed on a quarter of the simplified structure, the plastic point of the structure can be obtained. Therefore, there will be an elastic stage and a plastic stage in the deformation process of the structure. The effectiveness of the method of the present invention is verified by using a finite element model, and the influence of structural geometric parameters and structural material parameters on the in-plane equivalent mechanical properties of the rectangular honeycomb structure is studied in combination with parameter analysis; through parameter analysis, the influence of key structural parameters on the elastic-plastic process of the structure can be intuitively understood. This article provides a computing device and at least one system, and at least one sequenced list program of executable instructions through the proposed analysis method. The analysis method of the present invention is based on solving a series of equations. Compared with traditional numerical methods and experimental methods, it has the advantages of high efficiency and economy. It can provide convenient design and optimization solutions for enterprises in related industries and shorten the product design cycle. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] The accompanying drawings are used to provide a further understanding of the technical solution of the present application and constitute a part of the specification. Together with the embodiments of the present application, they are used to explain the technical solution of the present application and do not constitute a limitation on the technical solution of the present application.

[0027] Figure 1 This is a schematic diagram of a rectangular honeycomb structure in a specific embodiment of the present invention;

[0028] Figure 2 Schematic diagram of basic calculation parameters of a cell in a specific embodiment of the present invention;

[0029] Figure 3 This is a schematic diagram of the overall force diagram of the rectangular honeycomb structure when it is subjected to loads in the x and y directions in a specific embodiment of the present invention;

[0030] Figure 4 This is a schematic diagram of the overall force diagram representing a cell when it bears loads in the x and y directions in a specific embodiment of the present invention;

[0031] Figure 5 This is a schematic diagram of a quarter simplified structure in a specific embodiment of the present invention when subjected to loads in the x and y directions;

[0032] Figure 6 This is a schematic diagram of the overall force diagram of the rectangular honeycomb structure in a specific embodiment of the present invention when it is subjected to loads in other directions;

[0033] Figure 7 Schematic diagram showing the effect of the length a of the rectangular honeycomb structure wall panel on the equivalent mechanical parameters within the plane in a specific embodiment of the present invention;

[0034] Figure 8 Schematic diagram showing the effect of the length b of the rectangular honeycomb structure wall panel on the equivalent mechanical parameters within the plane in a specific embodiment of the present invention;

[0035] Figure 9 Schematic diagram showing the effect of the length H of the rectangular honeycomb structure wall panel on the equivalent mechanical parameters in a specific embodiment of the present invention;

[0036] Figure 10 Schematic diagram showing the effect of the length L of the rectangular honeycomb structure wall panel on the equivalent mechanical parameters within the plane in a specific embodiment of the present invention;

[0037] Figure 11 Schematic diagram showing the effect of the initial shear modulus G of a rectangular honeycomb structure on the equivalent in-plane mechanical parameters in a specific embodiment of the present invention;

[0038] Figure 12 Schematic diagram showing the effect of the initial elastic modulus E of the rectangular honeycomb structure on the equivalent in-plane mechanical parameters in a specific embodiment of the present invention;

[0039] Figure 13 Schematic diagram of the influence of the yield strength σs of the rectangular honeycomb structure on the stress-strain curve of the rectangular honeycomb structure in a specific embodiment of the present invention;

[0040] Figure 14 Schematic diagram of the effect of the initial elastic modulus E of the rectangular honeycomb structure on the stress-strain curve of the rectangular honeycomb structure in a specific embodiment of the present invention;

[0041] Figure 15 It is a structural diagram of an electronic device provided in a specific embodiment of the present invention. DETAILED DESCRIPTION

[0042] In order to make the purpose, technical solutions and advantages of this application more clear, the following further describes this application in detail with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain this application and are not intended to limit this application.

[0043] It should be noted that although the system diagrams illustrate functional module divisions and the flowcharts illustrate logical sequences, in certain circumstances, the steps shown or described may be performed in a sequence that differs from the module divisions in the system or the sequence in the flowcharts. The terms "first," "second," and so on, in the specification, claims, and drawings, are used to distinguish similar items and are not necessarily used to describe a specific sequence or precedence.

[0044] The embodiments of the present application are further described below with reference to the accompanying drawings.

[0045] Example 1

[0046] This embodiment provides an analysis method for the elastoplastic equivalent mechanical properties of a rectangular honeycomb structure.

[0047] like Figure 1 As shown, the rectangular honeycomb structure is regarded as an anisotropic material with periodic characteristics, and a global rectangular coordinate system is established, with the horizontal rightward direction being the x-axis, the vertical upward direction being the y-axis, and the vertical plane outward being the z-axis.

[0048] like Figure 2 As shown in the figure, a representative cell is cut out from the rectangular honeycomb structure for force analysis. Points B and D are the midpoints of the cell wall. Let H be the length of the cell wall BC, L be the length of the cell wall CD, a be the length of the cell wall AB, b be the length of the cell wall DE, t be the width of the cell wall, B be the depth of the structure in the z-axis direction, E be the Young's modulus of the material of the structure, A be the cross-sectional area of ​​the cell wall, and I be the polar moment of inertia of the structure.

[0049] Rectangular honeycomb structure is subjected to horizontal and vertical forces such as Figure 3 As shown. Figure 4 As shown, a representative cell is cut out from the honeycomb structure for mechanical analysis. The effective cross-sectional area Ax and the total tensile stress Fx in the X direction are expressed as formula (5); the effective cross-sectional area Ay and the total tensile stress Fy in the Y direction are expressed as formula (6):

[0050]

[0051]

[0052] like Figure 5 As shown, according to the principle of symmetry, the representative cell mechanics can be equivalent to a quarter simplified structural force diagram. Among them, using the angle of point B as 0 and the unit load method, the expression of the bending moment MB at point B can be obtained as shown in formula (7):

[0053]

[0054] For a quarter cell, each wall panel of the cell is regarded as a beam subjected to bending, shear and axial loads. The axial force equation, shear force equation and bending moment equation of the cell wall panels BC and CD are expressed as shown in formula (8):

[0055]

[0056] The energy method can be used to obtain the general formula for displacement, as shown in formula (9). The first term in formula (9) is the displacement caused by the structural bending moment; the second term is the displacement caused by the axial force; and the third term is the displacement caused by the shear force. E is the Young's modulus of the wall panel, G is the shear modulus of the wall panel, I is the polar inertia of the wall panel section, and A is the cross-sectional area of ​​the wall panel. s is the shear coefficient, which is related to the cross section of the structure. The cross section of this structure is rectangular, so α s =1.2.

[0057]

[0058] It can be obtained that when the structure is subjected to force in the X direction, Fy = 0. The displacements in the X and Y directions of the B section of the quarter cell are shown in formula (10):

[0059]

[0060] Therefore, the displacements in the X and Y directions of the A section of the quarter-cell structure are as shown in formula (11):

[0061]

[0062] With σ x As the bending moment at point B increases, point B first reaches the ultimate bending moment Mu, forming a plastic hinge. The expression of Mu is shown in formula (12). s is the structural yield strength

[0063]

[0064] At this time, the structural bearing capacity has not reached its limit and loading can continue.

[0065] The internal force equations of BC wall panel and CD wall panel are shown in equation (13).

[0066]

[0067] The displacements of section A in the x and y directions can be obtained as shown in formula (14).

[0068]

[0069] When σ x If it continues to increase, the CD rod will reach its limit and the structural bearing capacity will reach its limit.

[0070] In summary, when When , the structure is in the elastic stage, and the displacement of section A in the x and y directions is shown in Equation (11).

[0071] when When , the structure is in the plastic stage. At this time, the displacement of section A in the x-direction and y-direction is shown in Equation (14).

[0072] Similarly, when the structure is subjected to force in the Y direction, Fx = 0. When , the structure is in the elastic stage, and the displacement of section A in the X and Y directions is shown in formula (15).

[0073]

[0074] when When , the internal force equations of BC and CD panels are shown in Equation (16). From this, the displacements of section A in the x-direction and y-direction are obtained as shown in Equation (17).

[0075]

[0076]

[0077] When the honeycomb structure is subjected to forces in other directions, the analysis process can be simplified to the superposition of forces in the x-direction and the y-direction. Figure 6 shown. Is perpendicular to the x-axis Tensile stress in the angular direction, a representative cell is cut out from the periodic rectangular honeycomb structure for mechanical analysis, representing the effective cross-sectional area of ​​the cell and total tensile force As shown in formula (18). Projecting the total tensile force in the x-direction and y-direction respectively, we can get formula (19):

[0078]

[0079]

[0080] When the rectangular honeycomb structure is subjected to uniaxial tension in the x direction, the strain ε of the structure is x ′,ε y ′ is shown in formula (20); the equivalent effective area in the x direction is A' x , equivalent strain σ' x As shown in formula (21); equivalent Poisson's ratio ν xy and the equivalent Young's modulus E x As shown in formula (22):

[0081]

[0082]

[0083]

[0084] When the rectangular honeycomb structure is subjected to uniaxial tension in the y direction, the structural strain ε x ′ε y ′ is shown in formula (23); the equivalent effective area in the y direction is A′ y , equivalent strain σ′ y As shown in formula (24); equivalent Poisson's ratio ν yx and the equivalent Young's modulus E y As shown in formula (25).

[0085]

[0086]

[0087]

[0088] Represents the strain of the cell in the x direction and the strain in the y direction In parallel with the x-axis Angular strain In parallel with the x-axis Angular strain As shown in formula (26).

[0089]

[0090] The rectangular honeycomb structure is parallel to the x-axis. Under uniaxial tension in the angular direction, the equivalent Poisson's ratio and equivalent Young's modulus Expressed as formula (27)

[0091]

[0092] Figure 7 This figure shows the effect of honeycomb structure parameter a on the equivalent parameters of a rectangle in an embodiment of the present invention. The structural and material parameters are: a = 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5 mm, b = 2 mm, H = 6 mm, L = 8 mm, B = 1 mm, t = 1 mm, E = 200 GPa, G = 80 GPa, αs = 1.2, σs = 245 MPa. The results show that: 1. Within a certain range, a longer panel length a increases the equivalent Young's modulus Ex in the x-direction and decreases the equivalent Young's modulus Ey in the y-direction; 2. Within a certain range, a longer panel length a increases the equivalent Poisson's ratio vxy in the x-direction and decreases the equivalent Poisson's ratio vyx in the y-direction.

[0093] Figure 8 This figure shows the effect of the honeycomb structure parameter b on the equivalent parameters of the rectangle in an embodiment of the present invention. The structural and material parameters are: a = 2 mm, b = 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5 mm, H = 6 mm, L = 8 mm, B = 1 mm, t = 1 mm, E = 200 GPa, G = 80 GPa, αs = 1.2, σs = 245 MPa. The results show that: 1. Within a certain range, a longer panel length b decreases the equivalent Young's modulus Ex in the x-direction and increases the equivalent Young's modulus Ey in the y-direction; 2. Within a certain range, a longer panel length b decreases the equivalent Poisson's ratio vxy in the x-direction and increases the equivalent Poisson's ratio vyx in the y-direction.

[0094] Figure 9 This figure shows the effect of the honeycomb structure parameter H on the equivalent parameters of the rectangle in an embodiment of the present invention. The structural and material parameters are: a = 2 mm, b = 2 mm, H = 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 mm, L = 8 mm, B = 1 mm, t = 1 mm, E = 200 GPa, G = 80 GPa, αs = 1.2, σs = 245 MPa. The results show that: 1. Within a certain range, a longer panel length H decreases the equivalent Young's modulus Ex in the x-direction and increases the equivalent Young's modulus Ey in the y-direction; 2. Within a certain range, a longer panel length H decreases the equivalent Poisson's ratio vxy in the x-direction and increases the equivalent Poisson's ratio vyx in the y-direction.

[0095] Figure 10 This figure shows the effect of honeycomb structure parameter L on the equivalent parameters of a rectangle in an embodiment of the present invention. The structural and material parameters are: a = 2 mm, b = 2 mm, H = 6 mm, L = 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 mm, B = 1 mm, t = 1 mm, E = 200 GPa, G = 80 GPa, αs = 1.2, σs = 245 MPa. The results show that: 1. Within a certain range, a longer panel length L increases the equivalent Young's modulus Ex in the x-direction and decreases the equivalent Young's modulus Ey in the y-direction; 2. Within a certain range, a longer panel length L increases the equivalent Poisson's ratio vxy in the x-direction and decreases the equivalent Poisson's ratio vyx in the y-direction.

[0096] Figure 11This diagram shows the effect of the honeycomb structure parameter G on the equivalent parameters of a rectangle in an embodiment of the present invention. The structural and material parameters are: a = 2 mm, b = 2 mm, H = 6 mm, L = 8 mm, B = 1 mm, t = 1 mm, E = 200 GPa, G = 40, 50, 60, 70, 80, 90, 100, 110, 120 GPa, αs = 1.2, σs = 245 MPa. The results show that: 1. Within a certain range, a larger initial shear modulus G is associated with a larger equivalent Young's modulus Ex in the x-direction and an equivalent Young's modulus Ey in the y-direction; 2. Within a certain range, a larger initial shear modulus G is associated with a larger equivalent Poisson's ratio vxy in the x-direction and an equivalent Poisson's ratio vyx in the y-direction.

[0097] Figure 12 This diagram shows the effect of honeycomb structure parameter E on the equivalent parameters of a rectangle in an embodiment of the present invention. The structural and material parameters are: a = 2 mm, b = 2 mm, H = 6 mm, L = 8 mm, B = 1 mm, t = 1 mm, E = 60, 80, 100, 120, 140, 160, 180, 200, 220, 240 GPa, G = 80 GPa, αs = 1.2, σs = 245 MPa. The results show that: 1. Within a certain range, a larger initial elastic modulus E is associated with a larger equivalent Young's modulus Ex in the x-direction and a larger equivalent Young's modulus Ey in the y-direction; 2. Within a certain range, a larger initial elastic modulus E is associated with a smaller equivalent Poisson's ratio vxy in the x-direction and a smaller equivalent Poisson's ratio vyx in the y-direction.

[0098] Figure 13 This figure shows the effect of the honeycomb structure parameter σs on the rectangular stress-strain curve in an embodiment of the present invention. The structural and material parameters are: a = 2 mm, b = 2 mm, H = 6 mm, L = 8 mm, B = 1 mm, t = 1 mm, E = 200 GPa, G = 80 GPa, αs = 1.2, and σs = 100, 150, 200, and 250 MPa. The results show that within a certain range, a greater yield strength σs increases the stress inflection point σ* and the strain inflection point ε*.

[0099] Figure 14 This figure shows the effect of honeycomb structure parameter E on the rectangular stress-strain curve for an embodiment of the present invention. The structural and material parameters are: a = 2 mm, b = 2 mm, H = 6 mm, L = 8 mm, B = 1 mm, t = 1 mm, E = 100, 150, 200, and 250 GPa, G = 80 GPa, αs = 1.2, and σs = 245 MPa. The results show that within a certain range, a larger initial elastic modulus E decreases the strain inflection point ε*, while the stress inflection point σ* remains virtually unchanged.

[0100] Example 2

[0101] This embodiment refers to Figure 15 , combined with Figure 15 As shown, this embodiment provides an electronic device for elastic-plastic analysis of the equivalent mechanical properties of the rectangular honeycomb structure surface, including a processor and a memory. Optionally, the electronic device may further include a communication interface and a bus. The processor, the communication interface, and the memory may communicate with each other via the bus. The communication interface may be used for information transmission. The processor may call the logic instructions in the memory to execute the elastic-plastic analysis method of the equivalent mechanical properties of the rectangular honeycomb structure surface of the above embodiment.

[0102] This embodiment further provides a storage medium storing computer-executable instructions, wherein the computer-executable instructions are configured to execute the elastic-plastic analysis method for the in-plane equivalent mechanical properties of the rectangular honeycomb structure.

[0103] The aforementioned storage medium may be a transient computer-readable storage medium or a non-transient computer-readable storage medium. Non-transient storage media include: USB flash drives, mobile hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, optical disks, and other media that can store program code, which may also be transient storage media.

[0104] The above description and the accompanying drawings fully illustrate the embodiments of the present disclosure so that those skilled in the art can practice them. Other embodiments may include structural, logical, electrical, process and other changes. The embodiments represent only possible variations. Unless explicitly required, individual components and functions are optional, and the order of operations may vary. Parts and features of some embodiments may be included in or replace parts and features of other embodiments. Moreover, the words used in this application are only used to describe the embodiments and are not used to limit the claims. As used in the description of the embodiments and claims, unless the context clearly indicates otherwise, the singular forms "a", "an" and "the" are intended to also include plural forms. Similarly, the term "and / or" as used in this application refers to any and all possible combinations of one or more associated listings. In addition, when used in this application, the term "comprise" and its variations "comprises" and / or comprising refer to the presence of stated features, wholes, steps, operations, elements, and / or components, but do not exclude the presence or addition of one or more other features, wholes, steps, operations, elements, components and / or groups of these. In the absence of further restrictions, an element defined by the statement "comprises a..." does not exclude the presence of other identical elements in the process, method or electronic device that includes the element. In this article, each embodiment may focus on the differences from other embodiments, and the same and similar parts between the various embodiments can be referenced to each other. For the methods, products, etc. disclosed in the embodiments, if they correspond to the method part disclosed in the embodiments, then the relevant parts can be found in the description of the method part.

Claims

1. The analysis method of the equivalent mechanical properties of rectangular honeycomb structure in-plane elastic-plastic, characterized by: include: Get the representative cell; According to the representative cell, a quarter simplified structure is determined by utilizing structural symmetry; According to the load bearing conditions of the simplified structure in different directions, boundary constraints are imposed on the simplified structure to determine the axial force, shear force and bending moment equations acting on the wall panels of the structure; According to the axial force, shear force and bending moment equations, the displacement of the key section of the quarter simplified structure in different directions is determined using the principle of virtual work and elastic-plastic theory; Determine the strain of the simplified structure based on the displacement, and then determine the equivalent strain and equivalent stress of the representative cell and the entire structure; According to the equivalent strain and equivalent stress, the equivalent Young's modulus and equivalent Poisson's ratio of the structure are determined. When the structure is in the elastic stage and is only subjected to force in the x-direction, its equivalent Poisson's ratio and equivalent Young's modulus can be expressed by formula (1): When the structure is in the elastic stage and is only subjected to force in the y direction, its equivalent Poisson's ratio and equivalent Young's modulus are expressed by formula (2): When the structure is in the plastic stage and is only subjected to force in the x-direction, its equivalent Poisson's ratio and equivalent Young's modulus can be expressed by formula (3): When the structure is in the plastic stage and is only subjected to force in the y direction, its equivalent Poisson's ratio and equivalent Young's modulus can be expressed by formula (4): Among them, M u is the ultimate bending moment, F x is the total tensile stress in the x-direction, F y is the total tensile stress in the y direction; Δ' Ax is the displacement of section A in the x direction, Δ' Ay is the displacement of section A in the y direction; v xy is the equivalent Poisson’s ratio of the rectangular honeycomb structure when it is subjected to force in the x direction only, E x is the equivalent Young's modulus of the rectangular honeycomb structure when it is subjected to force in the x direction only, v yx is the equivalent Poisson’s ratio of the rectangular honeycomb structure when it is subjected to force in the y direction only, E y is the equivalent Young's modulus of the rectangular honeycomb structure when subjected to force in the y direction only, H is the length of the cell wall BC, L is the length of the cell wall CD, a is the length of the cell wall AB, b is the length of the cell wall DE, t is the width of the cell wall, B is the depth of the structure in the z-axis direction, A is the cross-sectional area of ​​the cell wall, E is the Young's modulus of the wall, G is the shear modulus of the wall, I is the polar inertia of the wall section, α s is the shear coefficient, σ x is the equivalent strain in the x direction, σ y is the equivalent strain in the y direction.

2. The method for analyzing the in-plane equivalent mechanical properties of a rectangular honeycomb structure according to claim 1, characterized in that: When the structure is subjected to forces in other directions, the forces in the x-direction and y-direction are superimposed and calculated.

3. An electronic device, characterized in that: The method comprises a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the program, the method according to any one of claims 1 to 2 is implemented.

4. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the program is executed by a processor, the method according to any one of claims 1 to 2 is implemented.

Citation Information

Patent Citations

  • Method for establishing nonlinear constitutive relation of honeycomb structure, medium and equipment

    CN110837690A

  • Method for establishing constitutive relation of star-shaped cellular structure, medium and equipment

    CN112768006A