Honeycomb equivalent modeling method considering adhesive effect

Abstract

The invention belongs to the technical field of composite material structural strength, and provides an adhesive effect-considered honeycomb equivalent modeling method, which comprises the following steps of: obtaining a tensile / compressive elastic modulus of a honeycomb core material, a tensile / compressive elastic modulus of a curing adhesive material and an adhesive thickness; establishing an equivalent relationship among the mechanical properties and structural parameters of the adhesive material, the mechanical properties of the honeycomb core material, the structural parameters of the honeycomb core layer and the mechanical parameters of the honeycomb; and inputting the equivalent relationship into finite element software, and carrying out honeycomb equivalent modeling. According to the method, the technical problem that an analysis result obtained after equivalent modeling is greatly different from a test result is solved, and the requirement for accurate analysis of the mechanical property of the honeycomb sandwich structure composite material is met.

Description

Technical Field

[0001] This invention belongs to the field of composite material structural strength technology, specifically relating to a honeycomb equivalent modeling method that considers the adhesive effect. Background Technology

[0002] Honeycomb sandwich composite materials are widely used in automotive, aerospace, and other fields due to their excellent mechanical properties and lightweight, high-strength characteristics. Depending on the constituent materials, honeycomb sandwich composite materials are prepared by processes such as autoclaving and welding, consisting of upper and lower skins and a middle honeycomb core layer. Due to the complex geometry and discrete non-uniformity of the honeycomb structure, the honeycomb core layer needs to be equivalently treated and modeled as a homogeneous material when analyzing its mechanical properties to simplify the structure and facilitate mechanical simulation.

[0003] Currently, the equivalent modeling methods for cellular structures typically employ equivalent plate theory, cellular plate theory, and sandwich panel theory. However, these theories do not consider the adhesive effect introduced during the fabrication process, resulting in significant discrepancies between the analytical results and experimental test results after equivalent modeling, making it difficult to meet the accuracy requirements of cellular equivalent modeling. Summary of the Invention

[0004] This invention addresses the problems of low accuracy and difficulty in accurately predicting the macroscopic mechanical properties of honeycomb structures in currently widely used honeycomb equivalent modeling methods such as equivalent plate theory, honeycomb plate theory, and sandwich panel theory. It provides a honeycomb equivalent modeling method that considers the adhesive effect, thereby improving the accuracy of honeycomb equivalent modeling methods and meeting the requirements for accurate analysis of the mechanical properties of honeycomb sandwich composite materials.

[0005] To achieve the above objectives, the present invention adopts the following technical solution: A method for equivalent cell modeling considering adhesive effects includes the following steps: Obtain the tensile / compressive modulus of elasticity of the honeycomb core material Tensile / compressive modulus of elasticity of cured adhesive materials and adhesive thickness ; Establish equivalent relationships between the mechanical properties and structural parameters of adhesive materials, the mechanical properties and structural parameters of honeycomb core materials and the mechanical parameters of honeycomb core layers; The above equivalent relationships are input into the finite element software to perform cellular equivalent modeling.

[0006] As a further aspect of the present invention: the tensile / compressive modulus of the honeycomb core material Obtained through tensile / compression tests on honeycomb core materials.

[0007] As a further aspect of the present invention: the tensile / compressive modulus of the cured adhesive material Obtained through tensile / compression tests on cured adhesive materials.

[0008] As a further aspect of the present invention: the tensile / compression test is performed on an electro-hydraulic servo fatigue testing machine.

[0009] As a further aspect of the present invention: the thickness of the adhesive By adhesive thickness The determination was obtained through experiments, specifically by observing the adhesive thickness under an optical microscope. Repeat the measurement multiple times and take the average value as the final adhesive thickness. .

[0010] As a further aspect of the present invention: the establishment of the equivalence relationship specifically involves: Based on the honeycomb core structure parameters, including the length of the honeycomb straight wall. Length of inclined wall The angle between the inclined wall and the x-direction Honeycomb wall thickness Elastic modulus of honeycomb core material The equivalent elastic modulus of the honeycomb along the x-direction is obtained. The calculation formula is as follows: ; According to the thickness of the adhesive Elastic modulus of adhesive materials Parameters of honeycomb core structure, elastic modulus of honeycomb core material The equivalent elastic modulus of the honeycomb along the y-direction is obtained. The calculation formula is as follows: ; According to the thickness of the adhesive Elastic modulus of adhesive materials Parameters of honeycomb core structure, elastic modulus of honeycomb core material The in-plane equivalent shear modulus of the honeycomb in the xy plane is obtained. The calculation formula is as follows: ; Based on the honeycomb core structure parameters, the shear modulus of the honeycomb core material The out-of-plane equivalent shear modulus of the honeycomb in the xz plane is obtained. The calculation formula is as follows: ; Among them, the shear modulus of honeycomb core material The elastic modulus of the honeycomb core material can be determined. And combined with the elastic modulus-shear modulus formula We obtain, where, Poisson's ratio is generally taken as... ; According to the thickness of the adhesive Shear modulus of adhesive materials Parameters of honeycomb core structure, shear modulus of honeycomb core material The out-of-plane equivalent shear modulus of the honeycomb in the yz plane is obtained. The calculation formula is as follows: ; Among them, the shear modulus of adhesive materials It can also be derived from the elastic modulus-shear modulus formula. We obtain, where, Poisson's ratio is generally taken as... ; According to the thickness of the adhesive Elastic modulus of adhesive materials Parameters of the honeycomb core structure, elastic modulus of the honeycomb core material The out-of-plane equivalent elastic modulus in the z-direction of the honeycomb structure is obtained. for: ; Considering the density of the cured adhesive Honeycomb core material density And in combination with adhesive thickness The honeycomb core structure parameters were used to obtain the equivalent density of the honeycomb. for: .

[0011] As a further aspect of the present invention: the equivalent elastic modulus of the honeycomb along the x-direction The specific calculation process is as follows: When the honeycomb core layer is subjected to in-plane tensile / compressive stress in the x-direction During the action, the deformation of the unit cell mainly originates from the inclined wall, while the straight wall has little effect on the deformation; according to the equilibrium of force and moment, the equivalent tensile force acting on the inclined wall along the x-direction can be obtained. and bending moment They are respectively: ; ; in, For the height of the honeycomb, The length of the straight wall. The length of the inclined wall. The angle between the inclined wall and the x-direction; In the direction perpendicular to the axial direction of the inclined wall, the equivalent tensile force The resulting deflection and bending moment The resulting deflection They are respectively: ; ; in, Let be the moment of inertia of the inclined wall. According to mechanics of materials: ; in, The thickness of the honeycomb wall; The net deflection generated in the direction perpendicular to the axial direction of the inclined wall is for: ; Elongation along the axial direction of the inclined wall for: ; Furthermore, the equivalent strain of the unit cell model in the x-direction for: ; Equivalent elastic modulus of the honeycomb along the x-direction for: .

[0012] As a further aspect of the present invention: the equivalent elastic modulus of the honeycomb along the y-direction The specific calculation process is as follows: When the honeycomb core layer is subjected to in-plane tensile / compressive stress in the y direction During the action, the deformation of the unit cell originates from the inclined wall and the straight wall. According to the equilibrium of force and moment, the equivalent tensile force acting on the inclined wall along the y direction can be obtained. and bending moment The relationship between them is: ; In the direction perpendicular to the axial direction of the inclined wall, the equivalent tensile force and bending moment Net deflection for: ; in, This refers to the height of the honeycomb. Elongation along the axial direction of the inclined wall for: ; Considering the adhesive effect, the elongation in the axial direction of the straight wall is obtained. for: ; in, For adhesive thickness; Furthermore, the equivalent strain of the unit cell model in the y-direction for: ; Therefore, the equivalent elastic modulus of the honeycomb along the y-direction for: .

[0013] As a further aspect of the present invention: the in-plane equivalent shear modulus of the honeycomb in the xy plane The specific calculation process is as follows: When the honeycomb core layer is subjected to in-plane shear stress When applied, the shear force in the unit cell along the y-direction is obtained from the reciprocal shear forces. With shear force along the x-direction The relationship between them is: ; Equivalent bending moment on the inclined wall With shear force The relationship between them is: ; For an inclined wall, in the equivalent bending moment The resulting rotation angle for: ; in, Let the moment of inertia of the inclined wall be . ; For straight walls, under shear force and equivalent bending moment The bending deflection generated under the action for: ; Furthermore, the total deformation along the x-direction for: ; Therefore, the shear strain of the unit cell model for: ; Therefore, the equivalent shear modulus in the xy plane of the honeycomb for: .

[0014] As a further aspect of the present invention: the out-of-plane equivalent shear modulus of the honeycomb in the xz plane The specific calculation process is as follows: When the honeycomb core is subjected to out-of-plane shear force in the xz plane During operation, the shear force flows along the inclined wall, while the straight wall is not subjected to shear force; the shear force along the inclined wall... for: ; in, The total strain energy of a honeycomb unit cell is the shear stress along the inclined wall. Originating from the sloping wall: ; in, The shear modulus of the honeycomb core material can be derived from its elastic modulus. And combined with the elastic modulus-shear modulus formula We obtain, where, Poisson's ratio is generally taken as... ; For the equivalent element of a honeycomb unit cell, the equivalent shear stress is: equivalent area for Then the out-of-plane shear force can be calculated. for: ; Therefore, the equivalent shear stress for: ; Total strain energy of equivalent cell unit for: ; in, Let x be the out-of-plane equivalent shear modulus of the honeycomb plane; based on the fact that the out-of-plane shear force of the honeycomb unit cell and its equivalent element is the same, the shear force of the inclined wall is obtained. Out-of-plane shear force The relationship between them is: ; Based on the assumption of the same total strain energy, the out-of-plane equivalent shear modulus of the honeycomb xz plane is calculated. for: .

[0015] As a further aspect of the present invention: the out-of-plane equivalent shear modulus of the honeycomb in the yz plane The specific calculation process is as follows: When the honeycomb core is subjected to out-of-plane shear force in the yz plane When it is applied, at this time, the shear force Flow along inclined and straight walls; shear force along straight walls. and the shear force of the inclined wall They are respectively: ; ; Therefore, out-of-plane shear force for: ; Total strain energy of a honeycomb unit cell for: ; in, The shear modulus of the adhesive can be determined using the elastic modulus-shear modulus formula. We obtain, where, Poisson's ratio is generally taken as... ; For the equivalent element of a honeycomb unit cell, the equivalent shear stress for: ; Total strain energy of equivalent element for: ; in, Let be the out-of-plane equivalent shear modulus of the yz-plane of the honeycomb structure; based on the equality of strain energy, the out-of-plane equivalent shear modulus can be calculated. for: .

[0016] As a further aspect of the present invention: the out-of-plane equivalent elastic modulus in the z-direction of the honeycomb The specific calculation process is as follows: When the honeycomb core is subjected to out-of-plane tensile / compressive load in the z-direction When applied, assume the strain in the z-direction generated by the honeycomb unit cell is... Then out-of-plane tensile / compressive load It can be represented as: ; For the equivalent cell element of a honeycomb, assume the out-of-plane equivalent elastic modulus is... Then out-of-plane tensile / compressive load It can also be expressed as: ; Therefore, the out-of-plane equivalent elastic modulus can be calculated. for: .

[0017] As a further aspect of the present invention: the equivalent density of the honeycomb The specific calculation process is as follows: Considering the density of the cured adhesive Density of honeycomb core material The quality of the honeycomb unit cell was obtained. for: ; For the equivalent cell of a honeycomb, assuming the equivalent honeycomb density is... The above quality It can also be expressed as: ; Thus, the equivalent density of the honeycomb is obtained. for: .

[0018] In summary, due to the adoption of the above technical solution, the beneficial effects of the present invention are as follows: 1. This application only requires tensile / compression tests on the honeycomb core material and the cured adhesive material to obtain the corresponding elastic modulus, and then uses the elastic modulus-shear modulus formula to obtain the shear modulus. It requires few parameters, is simple to conduct, and has low cost.

[0019] 2. This application takes into account the influence of adhesives on the equivalent modeling of honeycomb, thereby improving the accuracy of the equivalent modeling parameters of honeycomb. The method has high calculation accuracy and can meet the requirements for accurate analysis of the mechanical properties of honeycomb structures.

[0020] 3. This application can be applied to the equivalent modeling of common engineering materials such as metal honeycomb and Nomex honeycomb, and has strong applicability. Attached Figure Description

[0021] Figure 1 This is a schematic diagram of the stress on the honeycomb core layer; Figure 2 This is a schematic diagram of the forces acting on a honeycomb unit cell in the x-direction; Figure 3 This is a schematic diagram of the forces acting on a honeycomb unit cell in the y-direction; Figure 4 This is a schematic diagram of shear stress on the xy plane of a honeycomb unit cell; Figure 5 This is a schematic diagram of shear force acting on the xz plane of a honeycomb unit cell; Figure 6 This is a schematic diagram of shear force acting on the yz plane of a honeycomb unit cell; Figure 7This is a flowchart illustrating a honeycomb equivalent modeling method that considers the adhesive effect according to the present invention. Detailed Implementation

[0022] To make the objectives, technical solutions, and advantages of this invention clearer, the technical solutions in the embodiments of this invention will be described in more detail below with reference to the accompanying drawings.

[0023] In the accompanying drawings, the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The described embodiments are some, but not all, of the embodiments of the present invention.

[0024] The embodiments described below with reference to the accompanying drawings are exemplary and intended to explain the present invention, and should not be construed as limiting the present invention. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without inventive effort are within the scope of protection of the present invention.

[0025] The following is in conjunction with the appendix Figure 1-7 The technical solution of the present invention will be further described in detail below: Example 1 This invention provides a method for honeycomb equivalent modeling that considers adhesive effects, comprising the following steps: Obtain the tensile / compressive modulus of elasticity of the honeycomb core material Tensile / compressive modulus of elasticity of cured adhesive materials and adhesive thickness ; Establish equivalent relationships between the mechanical properties and structural parameters of adhesive materials, the mechanical properties and structural parameters of honeycomb core materials and the mechanical parameters of honeycomb core layers; The above equivalent relationships are input into the finite element software to perform cellular equivalent modeling.

[0026] Preferably, the tensile / compressive modulus of the honeycomb core material is... Obtained through tensile / compression tests on honeycomb core materials.

[0027] Preferably, the tensile / compressive modulus of the cured adhesive material is... Obtained through tensile / compression tests on cured adhesive materials.

[0028] Preferably, the tensile / compression test is performed on an electro-hydraulic servo fatigue testing machine.

[0029] Preferably, the thickness of the adhesive By adhesive thickness The determination was obtained through experiments, specifically by observing the adhesive thickness under an optical microscope. Repeat the measurement multiple times and take the average value as the final adhesive thickness. .

[0030] The purpose of the tensile / compression test on the honeycomb core material is to obtain the tensile / compression elastic modulus of the honeycomb core material. This provides parameter input for cellular equivalent modeling; The purpose of the tensile / compression test on the cured adhesive material is to obtain the tensile / compression modulus of elasticity of the adhesive material. Provides parameter input for cellular equivalent modeling The thickness of the adhesive The purpose of the experiment was to obtain the adhesive thickness. This provides parameter input for cellular equivalent modeling; The cellular equivalent modeling method is as follows: Step 101: Conduct tensile / compression tests on the honeycomb core material to obtain its tensile / compression modulus. ; Step 102: Perform a tensile / compression test on the cured adhesive material to obtain the tensile / compressive modulus of the cured adhesive material. ; Step 103, determine the adhesive thickness. To minimize errors, the adhesive thickness was measured using an optical microscope during the experiment. Repeat the measurement multiple times and take the average value as the final adhesive thickness. ; Step 104, as follows Figure 1 As shown, when the honeycomb core layer is subjected to in-plane tensile / compressive stress in the x-direction... The force diagram of the honeycomb unit cell during operation is as follows: Figure 2 The deformation of the unit cell mainly originates from the inclined walls AB and BC, while the straight wall BD has little effect on the deformation. Based on the equilibrium of force and moment, the equivalent tensile force acting on the inclined wall along the x-direction can be obtained. and bending moment They are respectively:

[0031]

[0032] in, For the height of the honeycomb, The length of the straight wall BD, Let AB and BC be the lengths of the inclined walls. It is the angle between the inclined wall and the x-direction.

[0033] In the direction perpendicular to the axis of the inclined wall AB, the equivalent tensile force Deflection and bending moment The resulting deflection They are respectively:

[0034]

[0035] in, Let be the moment of inertia of the inclined wall. According to mechanics of materials:

[0036] in, The thickness of the honeycomb wall.

[0037] The net deflection generated in the direction perpendicular to the axis of the inclined wall AB is for:

[0038] Elongation along the axial direction of the inclined wall AB for:

[0039] Furthermore, the equivalent strain of the unit cell model in the x-direction for:

[0040] Equivalent elastic modulus of the honeycomb along the x-direction for:

[0041] Step 105, when the honeycomb core layer is subjected to in-plane tensile / compressive stress in the y-direction. The force diagram of the honeycomb unit cell during operation is as follows: Figure 3 As shown. The unit cell deformation originates from the inclined wall AB, the inclined wall BC, and the straight wall BD. Based on the equilibrium of force and moment, the equivalent tensile force acting on the inclined wall along the y-direction can be obtained. and bending moment The relationship between them is:

[0042] In the direction perpendicular to the axis of the inclined wall AB, the equivalent tensile force and bending moment Net deflection for:

[0043] Elongation along the axial direction of the inclined wall AB for:

[0044] Considering the adhesive effect, the elongation in the axial direction of the straight wall BD is obtained. for:

[0045] in, This represents the adhesive thickness. To minimize error, the thickness was measured multiple times using an optical microscope, and the average value was taken as the final adhesive thickness. .

[0046] Furthermore, the equivalent strain of the unit cell model in the y-direction for:

[0047] Therefore, the equivalent elastic modulus of the honeycomb along the y-direction for:

[0048] Step 106, when the honeycomb core layer is subjected to in-plane shear stress in the xy plane The force diagram of the honeycomb unit cell during operation is as follows: Figure 4 As shown. The shear force along the y-direction of the unit cell is obtained from the fact that the shear forces are equal. With shear force along the x-direction The relationship between them is:

[0049] Equivalent bending moment on inclined wall AB With shear force The relationship between them is:

[0050] For the inclined wall AB, under the equivalent bending moment Under the action, the angle of rotation produced by point B for:

[0051] For a straight-walled BD, under shear force and equivalent bending moment The bending deflection generated at point D under the action for:

[0052] Furthermore, the total deformation of point E along the x-direction for:

[0053] Therefore, the shear strain of the unit cell model for:

[0054] Therefore, the equivalent shear modulus in the xy plane of the honeycomb for:

[0055] Step 107, when the honeycomb core layer is subjected to out-of-plane shear force in the xz plane The force diagram of the honeycomb unit cell during operation is as follows: Figure 5 As shown. At this point, the shear force flows along inclined walls AB and BC, while the straight wall BD is not subjected to shear force. The shear force along inclined walls AB and BC... for:

[0056] in, The shear stress is along the inclined wall. The total strain energy of the honeycomb unit cell. Originating from the sloping wall:

[0057] in, The shear modulus of the honeycomb core material can be derived from its elastic modulus. And combined with the elastic modulus-shear modulus formula We obtain, where, Poisson's ratio is generally taken as... .

[0058] For the equivalent element of a honeycomb unit cell, the equivalent shear stress is: equivalent area for Then the out-of-plane shear force can be calculated. for:

[0059] Therefore, the equivalent shear stress for:

[0060] Total strain energy of equivalent cell unit for:

[0061] in, This represents the out-of-plane equivalent shear modulus of the xz plane in the honeycomb structure. Based on the fact that the out-of-plane shear forces of the honeycomb unit cell and its equivalent element are the same, the shear force of the inclined wall is obtained. Out-of-plane shear force The relationship between them is:

[0062] Based on the assumption of the same total strain energy, the out-of-plane equivalent shear modulus of the honeycomb xz plane is calculated. for:

[0063] Step 108, when the honeycomb core layer is subjected to out-of-plane shear force in the yz plane. The force diagram of the honeycomb unit cell during operation is as follows: Figure 6 As shown. At this time, the shear force The flow occurs along inclined walls AB and BC, and along the straight wall BD. The shear force along the straight wall BD is... and the shear forces of inclined walls AB and BC They are respectively:

[0064]

[0065] Therefore, out-of-plane shear force for:

[0066] Total strain energy of a honeycomb unit cell for:

[0067] in, The shear modulus of the adhesive can be determined using the elastic modulus-shear modulus formula. We obtain, where, Poisson's ratio is generally taken as... .

[0068] For the equivalent element of a honeycomb unit cell, the equivalent shear stress for:

[0069] Total strain energy of equivalent element for:

[0070] in, Let be the out-of-plane equivalent shear modulus of the yz-plane of the honeycomb structure. Based on the equality of strain energy, the out-of-plane equivalent shear modulus can be calculated. for:

[0071] Step 109, when the honeycomb core layer is subjected to an out-of-plane tensile / compressive load in the z-direction When applied, assume the strain in the z-direction generated by the honeycomb unit cell is... Then out-of-plane tensile / compressive load It can be represented as:

[0072] For the equivalent cell element of a honeycomb, assume the out-of-plane equivalent elastic modulus is... Then out-of-plane tensile / compressive load It can also be expressed as:

[0073] Therefore, the out-of-plane equivalent elastic modulus can be calculated. for:

[0074] Step 110, then consider the density of the cured adhesive. Density of honeycomb core material The quality of the honeycomb unit cell was obtained. for:

[0075] For the equivalent cell of a honeycomb, assuming the equivalent honeycomb density is... The above quality It can also be expressed as:

[0076] Thus, the equivalent density of the honeycomb is obtained. for:

[0077] Through the above steps, the equivalent modeling parameters of the honeycomb structure considering the adhesive effect can be obtained. , , , , , , The calculation results show that the geometrically complex honeycomb structure can be equivalently modeled as a homogeneous solid, enabling equivalent modeling of honeycombs in finite element software.

[0078] Example 2 In this embodiment, the honeycomb equivalent modeling method considering adhesive effects of the present invention is applied to the equivalent modeling process of a regular hexagonal Nomex honeycomb, including the following steps: (1) Conduct tensile tests on Nomex honeycomb paper materials to obtain the elastic modulus of Nomex honeycomb paper materials. It is approximately 4015 MPa.

[0079] (2) Conduct tensile tests on the cured adhesive material to obtain the elastic modulus of the adhesive material. It is approximately 3112 MPa.

[0080] (3) Measure the adhesive thickness using an optical microscope To reduce errors, the thickness of the adhesive is adjusted. Repeat the measurement at least 6 times and take the average value as the final adhesive thickness to obtain the adhesive thickness. It is approximately 0.03 mm.

[0081] (4) Elastic modulus obtained from experiments , By combining the elastic modulus-shear modulus formula, the shear modulus of Nomex honeycomb paper material was calculated. The shear modulus of the adhesive material is 1544 MPa. It is 1197 MPa.

[0082] (5) Based on the material data provided by the material supplier, the wall thickness of the regular hexagonal Nomex honeycomb is known. Length of straight wall Length of inclined wall Angle ,density Density of cured adhesive materials The equivalent modeling parameters of the honeycomb considering the adhesive effect are obtained. , , , , , , As shown in Table 1. In addition, Table 1 also lists the adhesive thickness without considering the adhesive effect. The calculation results of the equivalent modeling parameters when the value is 0. It can be seen that the adhesive affects the equivalent modeling parameters. , , , , The value was affected, on , , The effect of adhesives is particularly significant. Therefore, the influence of adhesive effects on the equivalent modeling parameters of cellular structures cannot be ignored.

[0083] Table 1. Statistical Table of Cellular Equivalent Modeling Parameters

[0084] It will be understood by those skilled in the art that, unless otherwise defined, all terms used herein (including technical and scientific terms) have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains. It should also be understood that terms such as those defined in general dictionaries should be understood to have the same meaning as in the context of the prior art, and should not be interpreted in an idealized or overly formal sense unless defined as herein.

[0085] The specific embodiments described above further illustrate the purpose, technical solution, and beneficial effects of the present invention. It should be understood that the above description is only a specific embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

[0086] Note: The above data is for reference only.

Claims

1. A method for honeycomb equivalent modeling considering adhesive effects, characterized in that, Includes the following steps: Obtain the tensile / compressive modulus of elasticity of the honeycomb core material Tensile / compressive modulus of elasticity of cured adhesive materials and adhesive thickness ; Establish equivalent relationships between the mechanical properties and structural parameters of adhesive materials, the mechanical properties and structural parameters of honeycomb core materials and the mechanical parameters of honeycomb core layers; The above equivalent relationships are input into the finite element software to perform cellular equivalent modeling.

2. The honeycomb equivalent modeling method considering adhesive effects according to claim 1, characterized in that, The tensile / compressive modulus of the honeycomb core material Obtained through tensile / compression tests on honeycomb core materials.

3. The method for honeycomb equivalent modeling considering adhesive effects according to claim 2, characterized in that, The tensile / compressive modulus of the cured adhesive material Obtained through tensile / compression tests on cured adhesive materials.

4. A method for honeycomb equivalent modeling considering adhesive effects according to claim 2 or 3, characterized in that, The tensile / compression test was performed on an electro-hydraulic servo fatigue testing machine.

5. A method for honeycomb equivalent modeling considering adhesive effects according to claim 4, characterized in that, The thickness of the adhesive By adhesive thickness The determination was obtained through experiments, specifically by observing the adhesive thickness under an optical microscope. Repeat the measurement multiple times and take the average value as the final adhesive thickness. .

6. The honeycomb equivalent modeling method considering adhesive effects according to claim 1, characterized in that, The establishment of the equivalence relationship is specifically as follows: Based on the honeycomb core structure parameters, including the length of the honeycomb straight wall. Length of inclined wall The angle between the inclined wall and the x-direction Honeycomb wall thickness Elastic modulus of honeycomb core material The equivalent elastic modulus of the honeycomb along the x-direction is obtained. The calculation formula is as follows: ； According to the thickness of the adhesive Elastic modulus of adhesive materials Parameters of honeycomb core structure, elastic modulus of honeycomb core material The equivalent elastic modulus of the honeycomb along the y-direction is obtained. The calculation formula is as follows: ； According to the thickness of the adhesive Elastic modulus of adhesive materials Parameters of honeycomb core structure, elastic modulus of honeycomb core material The in-plane equivalent shear modulus of the honeycomb in the xy plane is obtained. The calculation formula is as follows: ； Based on the honeycomb core structure parameters, the shear modulus of the honeycomb core material The out-of-plane equivalent shear modulus of the honeycomb in the xz plane is obtained. The calculation formula is as follows: ； Among them, the shear modulus of honeycomb core material The elastic modulus of the honeycomb core material can be determined. And combined with the elastic modulus-shear modulus formula We obtain, where, Poisson's ratio is generally taken as... ; According to the thickness of the adhesive Shear modulus of adhesive materials Parameters of honeycomb core structure, shear modulus of honeycomb core material The out-of-plane equivalent shear modulus of the honeycomb in the yz plane is obtained. The calculation formula is as follows: ； Among them, the shear modulus of adhesive materials It can also be derived from the elastic modulus-shear modulus formula. We obtain, where, Poisson's ratio is generally taken as... ; According to the thickness of the adhesive Elastic modulus of adhesive materials Parameters of the honeycomb core structure, elastic modulus of the honeycomb core material The out-of-plane equivalent elastic modulus in the z-direction of the honeycomb structure is obtained. for: ； Considering the density of the cured adhesive Honeycomb core material density And in combination with adhesive thickness The honeycomb core structure parameters were used to obtain the equivalent density of the honeycomb. for: 。 7. A method for honeycomb equivalent modeling considering adhesive effects according to claim 6, characterized in that, The equivalent elastic modulus of the honeycomb along the x-direction The specific calculation process is as follows: When the honeycomb core layer is subjected to in-plane tensile / compressive stress in the x-direction During the action, the deformation of the unit cell mainly originates from the inclined wall, while the straight wall has little effect on the deformation; according to the equilibrium of force and moment, the equivalent tensile force acting on the inclined wall along the x-direction can be obtained. and bending moment They are respectively: ； ； in, For the height of the cell, The length of the straight wall. The length of the inclined wall. The angle between the inclined wall and the x-direction; In the direction perpendicular to the axial direction of the inclined wall, the equivalent tensile force Deflection and bending moment Deflection They are respectively: ； ； in, Let be the moment of inertia of the inclined wall. According to mechanics of materials: ； in, The thickness of the honeycomb wall; The net deflection generated in the direction perpendicular to the axial direction of the inclined wall is for: ； Elongation along the axial direction of the inclined wall for: ； Furthermore, the equivalent strain of the unit cell model in the x-direction for: ； Equivalent elastic modulus of the honeycomb along the x-direction for: 。 8. A method for honeycomb equivalent modeling considering adhesive effects according to claim 6, characterized in that, The equivalent elastic modulus of the honeycomb along the y-direction The specific calculation process is as follows: When the honeycomb core layer is subjected to in-plane tensile / compressive stress in the y-direction During the action, the deformation of the unit cell originates from the inclined wall and the straight wall. According to the equilibrium of force and moment, the equivalent tensile force acting on the inclined wall along the y direction can be obtained. and bending moment The relationship between them is: ； In the direction perpendicular to the axial direction of the inclined wall, the equivalent tensile force and bending moment Net deflection for: ； in, This refers to the height of the honeycomb. Elongation along the axial direction of the inclined wall for: ； Considering the adhesive effect, the elongation in the axial direction of the straight wall is obtained. for: ； in, For adhesive thickness; Furthermore, the equivalent strain of the unit cell model in the y-direction for: ； Therefore, the equivalent elastic modulus of the honeycomb along the y-direction for: 。 9. A method for honeycomb equivalent modeling considering adhesive effects according to claim 7, characterized in that, The in-plane equivalent shear modulus of the honeycomb in the xy plane The specific calculation process is as follows: When the honeycomb core layer is subjected to in-plane shear stress When applied, the shear force in the unit cell along the y-direction is obtained from the reciprocal shear forces. With shear force along the x-direction The relationship between them is: ； Equivalent bending moment on the inclined wall With shear force The relationship between them is: ； For an inclined wall, under the equivalent bending moment The resulting rotation angle under the action for: ； in, Let be the moment of inertia of the inclined wall. ; For straight walls, under shear force and equivalent bending moment The bending deflection generated under the action for: ； Furthermore, the total deformation along the x-direction for: ； Therefore, the shear strain of the unit cell model for: ； Therefore, the equivalent shear modulus in the xy plane of the honeycomb for: 。 10. A method for honeycomb equivalent modeling considering adhesive effects according to claim 6, characterized in that, The out-of-plane equivalent shear modulus of the honeycomb in the xz plane The specific calculation process is as follows: When the honeycomb core is subjected to out-of-plane shear force in the xz plane During operation, the shear force flows along the inclined wall, while the straight wall is not subjected to shear force; the shear force along the inclined wall... for: ； in, The total strain energy of a honeycomb unit cell is the shear stress along the inclined wall. Originating from the sloping wall: ； in, The shear modulus of the honeycomb core material can be derived from its elastic modulus. And combined with the elastic modulus-shear modulus formula We obtain, where, Poisson's ratio is generally taken as... ; For the equivalent element of a honeycomb unit cell, the equivalent shear stress is: equivalent area for Then the out-of-plane shear force can be calculated. for: ； Therefore, the equivalent shear stress for: ； Total strain energy of equivalent cell unit for: ； in, Let x be the out-of-plane equivalent shear modulus of the honeycomb plane; based on the fact that the out-of-plane shear force of the honeycomb unit cell and its equivalent element is the same, the shear force of the inclined wall is obtained. Out-of-plane shear force The relationship between them is: ； Based on the assumption of the same total strain energy, the out-of-plane equivalent shear modulus of the honeycomb xz plane is calculated. for: 。 11. A method for honeycomb equivalent modeling considering adhesive effects according to claim 6, characterized in that, The out-of-plane equivalent shear modulus of the honeycomb in the yz plane The specific calculation process is as follows: When the honeycomb core is subjected to out-of-plane shear force in the yz plane When it is applied, at this time, the shear force Flow along inclined and straight walls; shear force along straight walls. and the shear force of the inclined wall They are respectively: ； ； Therefore, out-of-plane shear force for: ； Total strain energy of a honeycomb unit cell for: ； in, The shear modulus of the adhesive can be determined using the elastic modulus-shear modulus formula. We obtain, where, Poisson's ratio is generally taken as... ; For the equivalent element of a honeycomb unit cell, the equivalent shear stress for: ； Total strain energy of equivalent element for: ； in, Let be the out-of-plane equivalent shear modulus of the yz-plane of the honeycomb structure; based on the equality of strain energy, the out-of-plane equivalent shear modulus can be calculated. for: 。 12. A method for honeycomb equivalent modeling considering adhesive effects according to claim 6, characterized in that, The out-of-plane equivalent elastic modulus in the z-direction of the honeycomb The specific calculation process is as follows: When the honeycomb core is subjected to out-of-plane tensile / compressive load in the z-direction When applied, assume the strain in the z-direction generated by the honeycomb unit cell is... Then out-of-plane tensile / compressive load It can be represented as: ； For the equivalent cell element of a honeycomb, assume the out-of-plane equivalent elastic modulus is... Then out-of-plane tensile / compressive load It can also be expressed as: ； Therefore, the out-of-plane equivalent elastic modulus can be calculated. for: 。 13. A method for honeycomb equivalent modeling considering adhesive effects according to claim 6, characterized in that, The equivalent density of the cell The specific calculation process is as follows: Considering the density of the cured adhesive Density of honeycomb core material The quality of the honeycomb unit cell was obtained. for: ； For the equivalent cell of a honeycomb, assuming the equivalent honeycomb density is... The above quality It can also be expressed as: ； Thus, the equivalent density of the honeycomb is obtained. for: 。

Images