CN107357954B - Mechanical property analysis of warp-knitted metal wire mesh based on finite element method - Google Patents
Mechanical property analysis of warp-knitted metal wire mesh based on finite element method Download PDFInfo
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Abstract
The invention provides a finite element method-based mechanical property analysis of a warp-knitted metal wire mesh, which comprises the following specific steps: 1) determining the three-dimensional coordinates of the type value points of the coil structure of the warp-knitted wire mesh with the minimum repeated structure; 2) determining the three-dimensional coordinates of the integral warp-knitted wire mesh type value points according to the topological relation among the minimum repetitive structures; 3) establishing a finite element model by taking the three-dimensional coordinates of the integral warp-knitted wire mesh type value points as the coordinates of key points of the finite element modeling; 4) applying contact constraint to the integral warp knitted wire mesh based on a finite element model of the mesh; 5) finally, the statics analysis of the whole warp-knitted metal wire mesh is realized by applying load and boundary constraint to the whole warp-knitted metal wire mesh. The invention realizes the mechanical analysis of the warp knitting metal silk screen based on the finite element method, provides a theoretical basis for the development of the silk screen, and also provides reference for the future shape finding analysis of the cable net-silk screen structure and the laying process of the silk screen.
Description
Technical Field
The invention belongs to the technical field of finite element simulation, and particularly relates to a warp knitting wire mesh mechanical property analysis based on a finite element method.
Background
The flexible mesh fabric woven by metal wires is a key material for preparing the metal mesh antenna. The warp-knitted flexible metal wire mesh is a warp-knitted flexible mesh material produced by adopting ultra-fine metal wires and a warp knitting technology, and has the characteristics of light weight, certain ductility in longitudinal and transverse directions, designable mesh size and the like. The wire mesh is laid on the cable mesh, and the rocket keeps a folded state when being launched; after the satellite enters the operation orbit, the metal wire mesh grid is required to be unfolded and enters a working state. Furthermore, the performance of the woven wire mesh determines the performance of the communication satellite metal mesh antenna. The electrical properties of the antenna are directly affected by the knitting structure of the wire mesh material, the shape and size of the mesh openings, the uniformity of the mesh surface in all directions and the diameter of the metal wires, so that the analysis of the mechanical properties of the metal wire mesh is a difficult problem to be solved urgently.
At present, the mechanical properties of the wire mesh are researched only by performing a unidirectional or bidirectional stretching experiment on the wire mesh and recording the horizontal and longitudinal elongations of the wire mesh to obtain the degree of anisotropy and the like of the wire mesh, so as to guide the knitting of the wire mesh, change the knitting form of the wire mesh and finally make the wire mesh isotropic as much as possible. However, the materials of the wire mesh are expensive in general, so that the method for guiding the weaving of the wire mesh through an experimental method has an excessive economic cost and a low working efficiency.
The ANSYS software has a perfect finite element contact analysis function, and simultaneously provides an APDL language for a user to carry out secondary development, the user can write commands to form a command stream file through the APDL language, parameterized modeling of a model is conveniently realized, and modeling efficiency is improved.
Disclosure of Invention
The invention aims to overcome the problems in the prior art and provide a warp knitting metal wire mesh mechanical property analysis based on a finite element method.
The technical scheme of the invention is as follows: a mechanical property analysis of a warp knitting metal wire mesh based on a finite element method comprises the following steps:
step 1) obtaining a type value point three-dimensional coordinate of a minimum repetitive structure of a warp knitting wire mesh: determining three-dimensional coordinates of a type value point x, y and z according to a coil structure of a minimum repetitive structure of the warp-knitted wire mesh;
step 2) obtaining the type value point three-dimensional coordinates of the whole warp knitting wire mesh: firstly, determining the topological relation between the horizontal and longitudinal distances among the coils and the minimum repetitive structure according to the weaving form of the wire mesh, thereby determining the model point three-dimensional coordinates of the whole warp-knitted wire mesh;
step 3) establishing a finite element model of the integral warp knitting wire mesh based on the model value point three-dimensional coordinates of the integral warp knitting wire mesh obtained in the step 2): establishing a geometric model of the three-dimensional coordinate of the model point of the integral warp-knitted metal mesh as a key point coordinate of modeling of the warp-knitted metal mesh, and carrying out finite element meshing on the geometric model to finally obtain a finite element model of the warp-knitted metal mesh;
step 4) based on the integral warp knitting metal mesh finite element model established in the step 3), assuming that monofilaments contacted with the warp knitting metal mesh in the stretching process are always in a bonding contact state and are in cross contact with each other, applying contact constraint on the monofilaments in critical contact in the finite element model of the warp knitting metal mesh;
step 5) static analysis of the warp knitted wire mesh: the statics analysis is achieved by applying load and boundary constraints to the finite element model of the warp knitted wire mesh.
The specific steps for obtaining the three-dimensional coordinates of the minimum repetitive structure type value points of the warp knitting wire mesh in the step 1) are as follows:
step 1.1) obtaining a high-definition picture of a warp-knitted wire mesh by a photogrammetric technology;
step 1.2) image processing and analysis are carried out on the high-definition picture of the warp-knitted wire mesh by utilizing an image data processing technology, and the analysis process is mainly to outline the model value point of the minimum repetitive structure according to the monofilament trend of the minimum repetitive structure in the picture, so that the two-dimensional coordinates of the model value point x and y of the minimum repetitive structure can be obtained; according to the weaving structure of the warp-knitted metal wire mesh, the type value point z coordinate of the minimum repetitive structure can be determined;
step 1.3) establishing a geometric model of the minimum repetitive structure by adopting a B spline curve based on the three-dimensional coordinates of the minimum repetitive structure type value points obtained in the step 1.2);
and step 1.4) observing the geometric model of the minimum repetitive structure, counting monofilaments embedded with each other, and moving the type value points of the monofilaments embedded with each other up and down or left and right to make the places where the monofilaments are contacted critical, so as to obtain the final three-dimensional coordinates of the type value points of the minimum repetitive structure.
The specific steps of obtaining the model value point three-dimensional coordinates of the whole warp knitting wire mesh in the step 2) are as follows:
step 2.1) based on the high-definition picture of the warp-knitted wire mesh obtained in the step 1.1), analyzing the topological relation of the minimum repetitive structure in the picture through image processing on the high-definition picture, and measuring the transverse and longitudinal distances among coils in the picture and the diameter of a monofilament in the picture; let L 'be the inter-coil lateral distance in the image'Horizontal barThe longitudinal distance is L'Longitudinal directionThe diameter of the filament is d', the ratio k of the inter-coil distance to the filament diameter in the imageHorizontal bar＝L′Horizontal barD', the ratio of the longitudinal distance to the filament diameter is kLongitudinal direction＝L′Longitudinal direction/d′；
Step 2.2) ratio k of the transverse distance to the monofilament diameter based on that obtained in step 2.1)Horizontal barAnd the ratio k of the longitudinal distance to the filament diameterLongitudinal directionAnd according to the actual monofilament diameter d, calculating the transverse and longitudinal distances between actual coils according to a proportional relation: suppose the actual coil-to-coil lateral distance is LHorizontal barLongitudinal distance of LLongitudinal directionThen the actual coil-to-coil transverse distance LHorizontal barIs represented by LHorizontal bar＝L′Horizontal barD/d', the longitudinal distance being denoted LLongitudinal direction＝L′Longitudinal direction·d/d′；
Step 2.3) determining the type value point three-dimensional coordinate of the whole warp knitting metal wire mesh based on the minimum repetitive structure type value point three-dimensional coordinate of the warp knitting metal wire mesh and the topological relation of the warp knitting metal wire mesh: assuming that the overall warp knitted wire mesh structure has m rows and n columns, the three-dimensional coordinate vector of the type point of the minimum repeating structure is represented as C ═ X, Y, Z]TWherein T is the transpose operator of the matrix, the type value point three-dimensional coordinate vector of the ith row and the jth column minimum repetition structure is represented as Cij＝[X+(i-1)·LHorizontal bar,Y+(j-1)·LLongitudinal direction,Z]TWherein i is 1,2, … m, i represents the whole warp knitting wire mesh where the minimum repetitive structure is locatedThe row number j of (1, 2, … n, j) indicates the column number of the whole warp knitted wire mesh where the minimum repeating structure is located, and the three-dimensional coordinates of the shape point of the whole warp knitted wire mesh are obtained.
The step 4) of applying contact constraint to the monofilaments in critical contact in the finite element model based on the integral warp-knitted wire mesh finite element model established in the step 3), which comprises the following specific steps:
step 4.1) assuming that the monofilaments contacted with the silk screen are always in a bonding contact state in the stretching process and the monofilaments in critical contact are all in cross contact;
and 4.2) based on the integral warp knitting wire mesh finite element model established in the step 3), sorting and counting the monofilaments in critical contact, and grouping the monofilaments according to different contact modes, wherein the positions in hooking contact are divided into one group, the positions in dragging contact are divided into another group, and then corresponding contact constraints are applied to the monofilaments in different contact modes.
Step 5), static analysis of the warp knitted wire mesh, which comprises the following specific steps:
step 5.1), firstly, restraining the boundary of the warp knitting wire mesh finite element model which is originally subjected to load in a consolidation restraining mode, applying load to the boundary of the warp knitting wire mesh which is originally subjected to hinge restraint, and carrying out static analysis for one time;
step 5.2) obtaining node support reaction numbers of the consolidated constraint boundary based on the statics analysis result of the step 5.1), wherein the node support reaction numbers of the group are used as node numbers of the warp knitted wire mesh to which loads are originally applied;
and 5.3) applying a load to the node number obtained in the step 5.2), and hinging the other edge boundary of the warp knitting wire mesh to finally realize the statics analysis of the warp knitting wire mesh.
The invention has the beneficial effects that: 1. the method aims at the generality of the metal wire meshes with various weaving structures, and can obtain the model value point of the minimum repetitive structure according to the image of the warp-knitted metal wire mesh so as to determine the trend of the monofilament, and further can rapidly parameterize and establish a finite element model of the warp-knitted metal wire mesh according to the model value point of the integral warp-knitted metal wire mesh.
2. The invention realizes finite element modeling and statics analysis of the warp knitting metal wire mesh based on the finite element method, and can truly reflect the ubiquitous anisotropic characteristic of the warp knitting metal wire mesh, thereby guiding the development of the isotropic warp knitting metal wire mesh and reducing the manufacturing cost of the wire mesh.
3. The invention is based on the finite element model established by the finite element method, can carry out load analysis, equivalent of elastic parameters of the wire mesh and the like, and provides reference for future shape finding analysis of the cable mesh-wire mesh structure and the laying process of the warp knitting wire mesh.
The present invention will be described in further detail below with reference to the accompanying drawings.
Drawings
FIG. 1 is a flow chart of the method of the present invention;
FIG. 2 is a schematic representation of the imaging process of a warp knitted wire mesh minimum repeat structure;
FIG. 3 is a CAD model of a minimal repeating structure of a mesh warp knit wire mesh;
FIG. 4 is a diagram of the definition of the lateral and longitudinal distances between the warp knitted wire mesh loops;
FIG. 5 is a minimum repeating structural finite element model of a mesh warp knit wire mesh;
FIG. 6 is an overall finite element model of a mesh warp knit wire mesh;
FIG. 7 is a schematic view of different contact classifications of the mesh warp knit wire mesh;
FIG. 8 is a diagram of the deformation in the X direction of a 15mm by 15mm warp knitted wire mesh under a load of 0.75N in the transverse and longitudinal directions;
FIG. 9 is a graphical representation of the Y-direction deflection of a 15mm by 15mm warp knit wire under a load of 0.75N in the transverse and longitudinal directions;
Detailed Description
The invention discloses a mechanical property analysis of a warp knitting metal wire mesh based on a finite element method, which utilizes an image data processing technology and the finite element method to realize finite element modeling and mechanical property analysis of the metal wire mesh, and a flow chart is shown as figure 1, and comprises the following detailed steps:
step 1) obtaining three-dimensional coordinates of the minimum repetitive structure type value point of the warp knitting metal wire mesh, and specifically comprises the following steps:
step 1.1) obtaining a high-definition picture of a warp-knitted wire mesh by a photogrammetric technology;
step 1.2) based on the current image data processing technology, the high-definition image of the woven wire mesh obtained in the step 1.1) can be imported into image processing software GetData Graph Digitizer, the monofilament trend of the image processing software GetData Graph Digitizer is sketched through the image processing software GetData Graph Digitizer, the x and y two-dimensional coordinates of the value point of the minimum repetitive structure can be obtained, the schematic diagram of the image processing software GetData Graph Digitizer is shown in FIG. 2, and the value point z coordinate of the minimum repetitive structure can be determined according to the woven structure of the wire mesh;
step 1.3) importing the minimum repetitive structure model value point three-dimensional coordinates obtained in the step 1.2) into CAD software Pro/E, generating the monofilament trend of the minimum repetitive structure by utilizing a B spline curve command in the Pro/E, and establishing an initial geometric model of the minimum repetitive structure;
and 1.4) observing a geometric model of the minimum repetitive structure, counting monofilaments embedded with each other, moving the type value points of the monofilaments embedded with each other up and down or left and right to enable the positions where the monofilaments are contacted to be in a critical contact state, and finally obtaining the minimum repetitive structure close to the actual minimum repetitive structure, wherein all the minimum repetitive structure type value point coordinates processed by Pro/E software are derived as shown in figure 3.
And 2) determining the transverse and longitudinal distances between the coils according to the weaving form of the metal wire mesh, wherein the transverse and longitudinal distances between the coils of the wire mesh are defined as shown in FIG. 4, and the three-dimensional coordinates of the model value points of the whole wire mesh can be determined by MATLAB software based on all model value point three-dimensional coordinates derived by Pro/E software. The detailed process is as follows:
and 2.1) carrying out image processing analysis on the high-definition picture of the warp-knitted metal wire mesh obtained in the step 1.1), analyzing the topological relation of the minimum repetitive structure in the picture, and measuring the transverse and longitudinal distances among the coils in the picture and the diameter of a monofilament in the picture. Let L 'be the inter-coil lateral distance in the image'Horizontal barThe longitudinal distance is L'Longitudinal directionThe diameter of the monofilament is dRatio k of cross distance between coils to monofilament diameterHorizontal bar＝L′Horizontal barD', the ratio of the longitudinal distance to the filament diameter is kLongitudinal direction＝L′Longitudinal direction/d′；
Step 2.2) ratio k of the transverse distance to the monofilament diameter based on that obtained in step 2.1)Horizontal barAnd the ratio k of the longitudinal distance to the filament diameterLongitudinal directionAnd according to the actual monofilament diameter d, calculating the transverse and longitudinal distances between actual coils according to a proportional relation: suppose the actual coil-to-coil lateral distance is LHorizontal barLongitudinal distance of LLongitudinal directionThen the actual coil-to-coil transverse distance LHorizontal barIs represented by LHorizontal bar＝L′Horizontal barD/d', the longitudinal distance being denoted LLongitudinal direction＝L′Longitudinal direction·d/d′；
Step 2.3) determining the type value point three-dimensional coordinate of the whole warp knitting metal wire mesh based on the minimum repetitive structure type value point three-dimensional coordinate of the warp knitting metal wire mesh and the topological relation of the warp knitting metal wire mesh: assuming that the overall warp knitted wire mesh structure has m rows and n columns, the three-dimensional coordinate vector of the type point of the minimum repeating structure is represented as C ═ X, Y, Z]TWherein T is the transpose operator of the matrix, the type value point three-dimensional coordinate vector of the ith row and the jth column minimum repetition structure is represented as Cij＝[X+(i-1)·LHorizontal bar,Y+(j-1)·LLongitudinal direction,Z]TWherein i is 1,2, … m, i represents the row number of the whole warp knitting wire mesh where the minimum repeating structure is located, j is 1,2, … n, j represents the column number of the whole warp knitting wire mesh where the minimum repeating structure is located, and then the model point three-dimensional coordinates of the whole warp knitting wire mesh are obtained.
And 3) realizing finite element modeling and mechanical property analysis of the whole metal wire mesh by using ANSYS finite element simulation software. Firstly, taking the three-dimensional coordinates of the type point of the integral warp-knitted metal screen obtained in the step 2.3) as key point coordinates for establishing an integral screen geometric model by ANSYS software, and fitting by using a BSPLIN command of the ANSYS software to obtain the three-dimensional geometric model of the integral screen; then, defining the type of the BEAM188 unit in an ANSYS pretreatment module, and defining the material parameters and real constants of the unit, wherein the specific parameters are shown in a table 1; and finally, carrying out finite element meshing on the three-dimensional geometric model of the silk screen. In which a finite element model of a minimum repeating structure is shown in figure 5 and a finite element model of a wire mesh of 15mm x 15mm size is shown in figure 6.
TABLE 1 geometry and Material parameters of finite element models of wire mesh
Step 4) based on the integral silk screen finite element model established in the step 3), assuming that monofilaments contacted with the silk screen are always in a bonding contact state and the monofilaments are in cross contact in the stretching process, applying contact constraint on the monofilaments in critical contact in the finite element model, and specifically comprising the following steps:
step 4.1) because the sliding displacement amount among the monofilaments of the silk screen in the bidirectional stretching process is small compared with the deformation amount of the coils, the monofilaments contacted with the silk screen in the stretching process are assumed to be always in a bonding contact state, and the monofilaments in critical contact are assumed to be in cross contact;
and 4.2) sorting and counting the monofilaments in critical contact based on the finite element model of the integral warp-knitted wire mesh established in the step 3), and grouping the monofilaments according to different contact modes, wherein the positions in hooking contact are divided into one group, the positions in dragging contact are divided into another group, and the classification schematic diagram of the contact modes is shown in FIG. 7. Applying contact constraint on the warp knitting metal wire mesh finite element modeling by using ANSYS finite element simulation software: firstly, establishing a contact pair for the critical contact monofilament obtained in the step 1.3), wherein the defined contact unit is a CONTA176 unit in ANSYS software, and the target unit is a TARGE170 unit in ANSYS software; next, setting the cell option KEYOPT (3) of the cont a176 cell to 1, which means that the contact behavior between the monofilaments is a cross beam contact; setting the unit option KEYOPT (5) of the CONTA176 unit to 3, setting 3 indicates automatic closing of the gap or reduction of intrusion in ANSYS statics analysis; setting the cell option KEYOPT (12) of the cont a176 cell to 5, which indicates that the contact behavior between monofilaments is non-separating slidable contact; then, different real constants are set for the contact pairs with different numbers, the contact pairs established are detected by using a contact guide of ANSYS software, and for the warning or error place, the unit options of the CONTA176 unit are correspondingly modified, so that the contact constraint application of the warp knitted wire finite element model is realized.
Step 5) realizing the statics analysis of the warp knitting wire mesh, and specifically comprising the following steps:
step 5.1), firstly, restraining the boundary of the warp knitting wire mesh finite element model which is originally subjected to load in a consolidation restraining mode, applying load to the boundary of the warp knitting wire mesh which is originally subjected to hinge restraint, and carrying out static analysis for one time;
step 5.2) based on the statics analysis result of the step 5.1), node support reaction force numbers of the consolidated constraint boundary can be obtained, and the node support reaction force numbers of the group are used as node numbers of the warp knitted metal wire mesh to which loads are originally applied;
and 5.3) applying a load to the node number obtained in the step 5.2), and hinging the other edge boundary of the warp knitting wire mesh to finally realize the statics analysis of the warp knitting wire mesh.
A mesh type warp knitting metal wire mesh is taken as a research object, a finite element model with the size of 15mm multiplied by 15mm is established by adopting the mechanical characteristic analysis of the warp knitting metal wire mesh based on a finite element method, load constraint is applied to the finite element model, and the biaxial tension process of the metal wire mesh is simulated. FIG. 8 is a diagram showing the deformation of a 15mm by 15mm warp knitted wire mesh in the X direction under a load of 0.75N in the transverse and longitudinal directions; FIG. 9 is a diagram of the deformation in the Y direction of a 15mm by 15mm warp knitted wire mesh under a load of 0.75N in the transverse and longitudinal directions; the results of mechanical analysis of the 15mm x 15mm size warp knitted wire mesh structure are shown in table 2.
TABLE 2 Bi-directional stretched 15mm warp knitted wire net transverse and longitudinal strain value
In summary, the present invention has the following technical advantages:
1. the method aims at the generality of the metal wire meshes with various weaving structures, and can obtain the type value point of the minimum repetitive structure according to the image of the warp-knitted metal wire mesh so as to determine the direction of the monofilament, and further can quickly parameterize and establish a finite element model of the integral warp-knitted metal wire mesh according to the type value point of the integral warp-knitted metal wire mesh.
2. The invention realizes finite element modeling and statics analysis of the warp knitting metal wire mesh based on the finite element method, and can truly reflect the ubiquitous anisotropic characteristic of the warp knitting metal wire mesh, thereby guiding the development of the isotropic warp knitting metal wire mesh and reducing the manufacturing cost of the warp knitting metal wire mesh.
3. The invention is based on the finite element model established by the finite element method, can carry out load analysis, equivalent of elastic parameters of the warp knitting metal wire mesh and the like, and provides reference for the future shape finding analysis of the cable net-wire mesh structure and the laying process of the warp knitting metal wire mesh.
The parts of the present embodiment not described in detail are common means known in the art, and are not described here. The above examples are merely illustrative of the present invention and should not be construed as limiting the scope of the invention, which is intended to be covered by the claims and any design similar or equivalent to the scope of the invention.
Claims (3)
1. A warp knitting wire mesh mechanical property analysis based on finite element method is characterized in that: the method comprises the following steps:
step 1) obtaining a type value point three-dimensional coordinate of a minimum repetitive structure of a warp knitting wire mesh: determining three-dimensional coordinates of a type value point x, y and z according to a coil structure of a minimum repetitive structure of the warp-knitted wire mesh;
step 2) obtaining the type value point three-dimensional coordinates of the whole warp knitting wire mesh: firstly, determining the topological relation between the horizontal and longitudinal distances among the coils and the minimum repetitive structure according to the weaving form of the wire mesh, thereby determining the model point three-dimensional coordinates of the whole warp-knitted wire mesh;
step 3) establishing a finite element model of the integral warp knitting wire mesh based on the model value point three-dimensional coordinates of the integral warp knitting wire mesh obtained in the step 2): establishing a geometric model of the three-dimensional coordinate of the model point of the integral warp-knitted metal mesh as a key point coordinate of modeling of the warp-knitted metal mesh, and carrying out finite element meshing on the geometric model to finally obtain a finite element model of the warp-knitted metal mesh;
step 4) based on the integral warp knitting metal mesh finite element model established in the step 3), assuming that monofilaments contacted with the warp knitting metal mesh in the stretching process are always in a bonding contact state and are in cross contact with each other, applying contact constraint on the monofilaments in critical contact in the finite element model of the warp knitting metal mesh;
step 5) static analysis of the warp knitted wire mesh: the statics analysis of the warp knitted metal wire mesh is realized by applying load and boundary constraint to a finite element model of the warp knitted metal wire mesh;
the specific steps of obtaining the three-dimensional coordinates of the type value points of the minimum repetitive structure of the warp knitting wire mesh in the step 1) are as follows:
step 1.1) obtaining a high-definition picture of a warp-knitted wire mesh by a photogrammetric technology;
step 1.2) image processing and analysis are carried out on the high-definition picture of the warp-knitted wire mesh by utilizing an image data processing technology, and the analysis process is mainly to outline the model value point of the minimum repetitive structure according to the monofilament trend of the minimum repetitive structure in the picture, so that the two-dimensional coordinates of the model value point x and y of the minimum repetitive structure can be obtained; according to the weaving structure of the warp-knitted metal wire mesh, the type value point z coordinate of the minimum repetitive structure can be determined;
step 1.3) establishing a geometric model of the minimum repetitive structure by adopting a B spline curve based on the three-dimensional coordinates of the minimum repetitive structure type value points obtained in the step 1.2);
step 1.4) observing a geometric model of the minimum repetitive structure, counting monofilaments embedded with each other, and moving the type value points of the monofilaments embedded with each other up and down or left and right to make the places where the monofilaments are contacted with each other critical contact, so as to obtain the final three-dimensional coordinates of the type value points of the minimum repetitive structure;
the specific steps of obtaining the model value point three-dimensional coordinates of the whole warp knitting wire mesh in the step 2) are as follows:
step 2.1) based on the high-definition picture of the warp-knitted wire mesh obtained in the step 1.1), analyzing the topological relation of the minimum repetitive structure in the picture through image processing on the high-definition picture, and measuring the transverse and longitudinal distances among coils in the picture and the diameter of a monofilament in the picture; let L 'be the inter-coil lateral distance in the image'Horizontal barThe longitudinal distance is L'Longitudinal directionThe diameter of the filament is d', the ratio k of the inter-coil distance to the filament diameter in the imageHorizontal bar＝L′Horizontal barD', the ratio of the longitudinal distance to the filament diameter is kLongitudinal direction＝L′Longitudinal direction/d′；
Step 2.2) ratio k of the transverse distance to the monofilament diameter based on that obtained in step 2.1)Horizontal barAnd the ratio k of the longitudinal distance to the filament diameterLongitudinal directionAnd according to the actual monofilament diameter d, calculating the transverse and longitudinal distances between actual coils according to a proportional relation: suppose the actual coil-to-coil lateral distance is LHorizontal barLongitudinal distance of LLongitudinal directionThen the actual coil-to-coil transverse distance LHorizontal barIs represented by LHorizontal bar＝L′Horizontal barD/d', the longitudinal distance being denoted LLongitudinal direction＝L′Longitudinal direction·d/d′；
Step 2.3) determining the type value point three-dimensional coordinate of the whole warp knitting metal wire mesh based on the minimum repetitive structure type value point three-dimensional coordinate of the warp knitting metal wire mesh and the topological relation of the warp knitting metal wire mesh: assuming that the overall warp knitted wire mesh structure has m rows and n columns, the three-dimensional coordinate vector of the type point of the minimum repeating structure is represented as C ═ X, Y, Z]TWherein T is the transpose operator of the matrix, the type value point three-dimensional coordinate vector of the ith row and the jth column minimum repetition structure is represented as Cij＝[X+(i-1)·LHorizontal bar,Y+(j-1)·LLongitudinal direction,Z]TWherein i is 1,2, … m, i represents the row number of the whole warp knitting wire mesh where the minimum repeating structure is located, j is 1,2, … n, j represents the column number of the whole warp knitting wire mesh where the minimum repeating structure is located, and then the model point three-dimensional coordinates of the whole warp knitting wire mesh are obtained.
2. The mechanical property analysis method of the warp knitted metal wire mesh based on the finite element method as claimed in claim 1, wherein: the step 4) of applying contact constraint to the monofilaments in critical contact in the finite element model based on the integral warp-knitted wire mesh finite element model established in the step 3), which comprises the following specific steps:
step 4.1) assuming that the monofilaments contacted with the silk screen are always in a bonding contact state in the stretching process and the monofilaments in critical contact are all in cross contact;
and 4.2) based on the integral warp knitting wire mesh finite element model established in the step 3), sorting and counting the monofilaments in critical contact, and grouping the monofilaments according to different contact modes, wherein the positions in hooking contact are divided into one group, the positions in dragging contact are divided into another group, and then corresponding contact constraints are applied to the monofilaments in different contact modes.
3. The mechanical property analysis method of the warp knitted metal wire mesh based on the finite element method as claimed in claim 1, wherein: step 5), static analysis of the warp knitted wire mesh, which comprises the following specific steps:
step 5.1), firstly, restraining the boundary of the warp knitting wire mesh finite element model which is originally subjected to load in a consolidation restraining mode, applying load to the boundary of the warp knitting wire mesh which is originally subjected to hinge restraint, and carrying out static analysis for one time;
step 5.2) obtaining node support reaction numbers of the consolidated constraint boundary based on the statics analysis result of the step 5.1), wherein the node support reaction numbers of the group are used as node numbers of the warp knitted wire mesh to which loads are originally applied;
and 5.3) applying a load to the node number obtained in the step 5.2), and hinging the other edge boundary of the warp knitting wire mesh to finally realize the statics analysis of the warp knitting wire mesh.
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