CN108681650A - A kind of warp-knitted spacer fabric composite material stress analysis method - Google Patents
A kind of warp-knitted spacer fabric composite material stress analysis method Download PDFInfo
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- 125000006850 spacer group Chemical group 0.000 title claims abstract description 142
- 239000004744 fabric Substances 0.000 title claims abstract description 91
- 239000002131 composite material Substances 0.000 title claims abstract description 71
- 238000004458 analytical method Methods 0.000 title claims abstract description 31
- 238000000034 method Methods 0.000 claims abstract description 30
- 229920002635 polyurethane Polymers 0.000 claims abstract description 24
- 239000004814 polyurethane Substances 0.000 claims abstract description 24
- 239000007787 solid Substances 0.000 claims description 63
- 229920005830 Polyurethane Foam Polymers 0.000 claims description 26
- 239000011496 polyurethane foam Substances 0.000 claims description 26
- 239000011159 matrix material Substances 0.000 claims description 14
- 238000006073 displacement reaction Methods 0.000 claims description 9
- 238000012805 post-processing Methods 0.000 claims description 5
- 239000011208 reinforced composite material Substances 0.000 claims description 5
- PCTMTFRHKVHKIS-BMFZQQSSSA-N (1s,3r,4e,6e,8e,10e,12e,14e,16e,18s,19r,20r,21s,25r,27r,30r,31r,33s,35r,37s,38r)-3-[(2r,3s,4s,5s,6r)-4-amino-3,5-dihydroxy-6-methyloxan-2-yl]oxy-19,25,27,30,31,33,35,37-octahydroxy-18,20,21-trimethyl-23-oxo-22,39-dioxabicyclo[33.3.1]nonatriaconta-4,6,8,10 Chemical compound C1C=C2C[C@@H](OS(O)(=O)=O)CC[C@]2(C)[C@@H]2[C@@H]1[C@@H]1CC[C@H]([C@H](C)CCCC(C)C)[C@@]1(C)CC2.O[C@H]1[C@@H](N)[C@H](O)[C@@H](C)O[C@H]1O[C@H]1/C=C/C=C/C=C/C=C/C=C/C=C/C=C/[C@H](C)[C@@H](O)[C@@H](C)[C@H](C)OC(=O)C[C@H](O)C[C@H](O)CC[C@@H](O)[C@H](O)C[C@H](O)C[C@](O)(C[C@H](O)[C@H]2C(O)=O)O[C@H]2C1 PCTMTFRHKVHKIS-BMFZQQSSSA-N 0.000 claims description 4
- 239000000463 material Substances 0.000 abstract description 24
- 238000007906 compression Methods 0.000 abstract description 17
- 230000006835 compression Effects 0.000 abstract description 10
- 238000012669 compression test Methods 0.000 abstract description 6
- 238000004088 simulation Methods 0.000 abstract description 6
- 238000013461 design Methods 0.000 abstract description 4
- 230000002708 enhancing effect Effects 0.000 abstract 3
- 150000001875 compounds Chemical class 0.000 abstract 1
- 239000002356 single layer Substances 0.000 description 11
- 238000004364 calculation method Methods 0.000 description 10
- 230000008569 process Effects 0.000 description 9
- 229920000728 polyester Polymers 0.000 description 8
- 238000012360 testing method Methods 0.000 description 5
- 238000010521 absorption reaction Methods 0.000 description 4
- 230000006870 function Effects 0.000 description 4
- 230000008859 change Effects 0.000 description 3
- 238000004519 manufacturing process Methods 0.000 description 3
- 230000002787 reinforcement Effects 0.000 description 3
- 230000005483 Hooke's law Effects 0.000 description 2
- 239000011162 core material Substances 0.000 description 2
- 238000002474 experimental method Methods 0.000 description 2
- 238000007781 pre-processing Methods 0.000 description 2
- 238000009864 tensile test Methods 0.000 description 2
- 238000005452 bending Methods 0.000 description 1
- 230000032798 delamination Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 229920001971 elastomer Polymers 0.000 description 1
- 239000000806 elastomer Substances 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 239000011229 interlayer Substances 0.000 description 1
- 239000010410 layer Substances 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 238000002844 melting Methods 0.000 description 1
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- 238000010129 solution processing Methods 0.000 description 1
- 239000002344 surface layer Substances 0.000 description 1
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- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
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Abstract
Description
技术领域technical field
本发明涉及材料性能分析技术领域,特别是涉及一种经编间隔织物复合材料应力分析方法。The invention relates to the technical field of material performance analysis, in particular to a stress analysis method for warp-knitted spacer fabric composite materials.
背景技术Background technique
经编间隔织物具有优异的抗压缩、抗冲击性能和较高的生产效率,用其作为增强体的复合材料在厚度方向具有较好的力学性能,能明显的提高层间剪切强度,且在受到外界载荷特别是动态载荷作用时,不会出现分层的现象。良好的结构完整性、抗冲击性以及低廉的生产成本使经编间隔织物增强聚氨酯复合材料有望成为一种新型缓冲材料。The warp-knitted spacer fabric has excellent compression resistance, impact resistance and high production efficiency. The composite material using it as a reinforcement has good mechanical properties in the thickness direction, and can significantly improve the interlayer shear strength. When subjected to external loads, especially dynamic loads, there will be no delamination. Good structural integrity, impact resistance, and low production cost make warp-knitted spacer fabric-reinforced polyurethane composites promising as a new type of cushioning material.
但是现有技术中,由于缺乏经编间隔织物增强聚氨酯复合材料的压缩性能的变化趋势理论依据指导,使得间隔织物增强聚氨酯复合材料在生产过程中进行结构设计时需要使用真实材料进行反复的试验,这样使得生产厂家的成本大大增加。However, in the prior art, due to the lack of theoretical guidance on the change trend of the compressive properties of warp-knitted spacer fabric-reinforced polyurethane composite materials, it is necessary to use real materials for repeated tests in the structural design of spacer fabric-reinforced polyurethane composite materials during the production process. This makes the cost of the manufacturer greatly increased.
发明内容Contents of the invention
本发明提供了一种经编间隔织物复合材料应力分析方法。The invention provides a stress analysis method for warp-knitted spacer fabric composite materials.
本发明提供了如下方案:The present invention provides following scheme:
一种经编间隔织物复合材料应力分析方法,包括:A stress analysis method for a warp-knitted spacer fabric composite material, comprising:
利用有限元软件,建立经编间隔织物增强聚氨酯增强复合材料的结构模型;Using finite element software, the structural model of warp-knitted spacer fabric-reinforced polyurethane-reinforced composites was established;
设置有限元模型的各项参数,所述参数包括间隔梳栉的垫纱方式、各点与垫纱数码对应关系、间隔织物间隔丝参数、经编间隔织物增强聚氨酯复合材料结构参数;The parameters of the finite element model are set, and the parameters include the yarn laying mode of the interval bar, the corresponding relationship between each point and the laying yarn number, the spacer fabric spacer parameters, and the warp-knitted spacer fabric reinforced polyurethane composite material structure parameters;
根据实体模型的特点进行网格划分;Carry out grid division according to the characteristics of the solid model;
对划分好网格的实体模型施加载荷并进入后处理功能生成所述经编间隔织物增强聚氨酯复合材料的应力-应变曲线。Apply load to the meshed solid model and enter the post-processing function to generate the stress-strain curve of the warp-knitted spacer fabric reinforced polyurethane composite material.
优选的:建立经编间隔织物增强聚氨酯增强复合材料的结构模型,包括:Preferable: establish the structural model of the warp-knitted spacer fabric reinforced polyurethane reinforced composite material, including:
选取一个最小的完全循环结构单元作为代表体单元,所述代表体单元为两把隔梳栉在一个完整垫纱循环所形成的织物结构单元以及包含的聚氨酯泡沫基体,对选取的代表体单元进行有限元分析建立结构模型。Select a minimum complete cycle structure unit as the representative body unit, the representative body unit is the fabric structure unit formed by two spacer bars in a complete lapping cycle and the polyurethane foam matrix contained, and carry out the selected representative body unit The finite element analysis establishes the structural model.
优选的:根据隔梳栉的运动轨迹建立单根间隔丝模型;依次对单根间隔丝实体模型进行镜像、阵列操作,形成两把间隔梳栉的间隔丝整体排列的三维几何模型;Preferably: a single spacer wire model is established according to the motion track of the spacer bar; the single spacer body model is mirrored and arrayed in turn to form a three-dimensional geometric model of the overall arrangement of the spacer wires of the two spacer bars;
建立经编间隔织物增强聚氨酯复合材料的上、下表面;Build warp-knitted spacer fabrics to reinforce the upper and lower surfaces of polyurethane composites;
将建立好的上、下表面与间隔丝整体排列的三维几何模型进行黏结装配得到间隔织物实体模型;Bond and assemble the established three-dimensional geometric model of the upper and lower surfaces and the overall arrangement of the spacer wires to obtain a solid model of the spacer fabric;
建立一个与间隔织物等体积的聚氨酯泡沫实体模型;Create a polyurethane foam solid model of the same volume as the spacer fabric;
将间隔织物实体模型与聚氨酯泡沫实体模型进行装配,即得到所述结构模型。The structure model is obtained by assembling the spacer fabric solid model and the polyurethane foam solid model.
优选的:所述单根间隔丝模型建立方法包括:首先建立点坐标A,B,C,D。然后在两个x-z平面内,分别用直线连接点A、B和点C、D;而在y-z平面内,选择一个中间点O,用圆滑曲线将点B、O和C连接;以点A为圆心,0.1mm为半径在x-y平面做一个圆形,并将此圆面延空间曲线ABCD拖拽生成单根间隔丝实体模型。Preferably: the method for establishing a single spacer wire model includes: first establishing point coordinates A, B, C, and D. Then in the two x-z planes, use straight lines to connect points A, B and points C, D respectively; and in the y-z plane, select an intermediate point O, and use a smooth curve to connect points B, O and C; take point A as Make a circle on the x-y plane with the center of the circle and a radius of 0.1mm, and drag the circle along the space curve ABCD to generate a single spacer wire solid model.
优选的:根据实体模型的特点进行网格划分;包括:Preferable: Carry out grid division according to the characteristics of the solid model; including:
使用有限元软件中自由网格划分进行网格划分;设置好实体模型表面网格粗细、质量、实体网格类型参数,利用网格生成工具,对实体模型进行网格划分。Use the free mesh division in the finite element software for grid division; set the surface grid thickness, quality, and entity grid type parameters of the solid model, and use the grid generation tool to perform grid division on the solid model.
优选的:对划分好网格的实体模型施加载荷,包括:Preferable: apply loads to the meshed solid model, including:
将所述实体模型的一端约束,另一端施加压缩载荷来实现;在实体模型上表面z方向上压缩时,将实体模型下表面上所有的节点的自由度设定约束,即设定每一个节点的x、y、z方向上的平动自由度均为零,同时绕x、y、z轴转动自由度也全部设定为零。Constrain one end of the solid model, and apply a compressive load to the other end; when compressing in the z direction on the upper surface of the solid model, set constraints on the degrees of freedom of all nodes on the lower surface of the solid model, that is, set each node The translational degrees of freedom in the x, y, and z directions are all zero, and the rotational degrees of freedom around the x, y, and z axes are all set to zero.
优选的:对实体模型上表面施加均布载荷;选择适当的施加节点力、均布载荷和指定位移。Preferable: apply a uniform load to the upper surface of the solid model; select the appropriate applied node force, uniform load and specified displacement.
优选的:在施加载荷时分多个载荷步施加,在所述结构模型的上表面分12个载荷步施加压缩位移载荷,每步压缩0.38mm。Preferably: the load is applied in multiple load steps, and the compressive displacement load is applied in 12 load steps on the upper surface of the structural model, each step compressing 0.38mm.
根据本发明提供的具体实施例,本发明公开了以下技术效果:According to the specific embodiments provided by the invention, the invention discloses the following technical effects:
通过本发明,可以实现一种经编间隔织物复合材料应力分析方法,在一种实现方式下,该方法可以包括利用有限元软件,建立经编间隔织物增强聚氨酯增强复合材料的结构模型;设置有限元模型的各项参数,所述参数包括间隔梳栉的垫纱方式、各点与垫纱数码对应关系、间隔织物间隔丝参数、经编间隔织物增强聚氨酯复合材料结构参数;根据实体模型的特点进行网格划分;对划分好网格的实体模型施加载荷并进入后处理功能生成所述经编间隔织物增强聚氨酯复合材料的应力-应变曲线。将通过本申请提供的方法经有限元分析得到的应力-压缩率曲线与压缩试验曲线进行对比,有限元模拟的复合材料压缩应力-压缩率曲线和试验得出的压缩变形曲线总体吻合较好,尽管复合材料有限元模拟的应力-压缩率曲线和试验曲线存在少量的偏差,但本申请提供的有限元模拟结果还是能很好地反映试样压缩性能的变化趋势,可以为实际工程中的应用提供结构设计的理论依据。Through the present invention, a method for stress analysis of warp-knitted spacer fabric composite materials can be realized. In one implementation, the method can include using finite element software to establish a structural model of warp-knitted spacer fabric-reinforced polyurethane-reinforced composite materials; the settings are limited The parameters of the meta-model, the parameters include the laying method of the spacer bar, the corresponding relationship between each point and the laying number, the spacer yarn parameters of the spacer fabric, and the structural parameters of the polyurethane composite material reinforced by the warp-knitted spacer fabric; according to the characteristics of the solid model Carrying out grid division; applying a load to the grid-divided solid model and entering the post-processing function to generate the stress-strain curve of the warp-knitted spacer fabric-reinforced polyurethane composite material. Comparing the stress-compression rate curve obtained by finite element analysis with the compression test curve through the method provided by this application, the compression stress-compression rate curve of the composite material simulated by the finite element method and the compression deformation curve obtained by the test are generally in good agreement. Although there is a small amount of deviation between the stress-compression rate curve and the test curve of the finite element simulation of composite materials, the finite element simulation results provided by this application can still reflect the change trend of the compressive properties of the sample well, which can be used for practical engineering applications. Provide the theoretical basis for structural design.
当然,实施本发明的任一产品并不一定需要同时达到以上所述的所有优点。Of course, any product implementing the present invention does not necessarily need to achieve all the above-mentioned advantages at the same time.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the accompanying drawings required in the embodiments. Obviously, the accompanying drawings in the following description are only some of the present invention. Embodiments, for those of ordinary skill in the art, other drawings can also be obtained based on these drawings without any creative effort.
图1是本发明实施例提供的经编间隔织物复合材料应力分析方法的流程图;Fig. 1 is the flow chart of the warp knitted spacer fabric composite material stress analysis method provided by the embodiment of the present invention;
图2是横移针距数-2;Figure 2 is the number of traverse stitches -2;
图3是横移针距数-3;Figure 3 is the number of traverse stitches -3;
图4是横移针距数-4;Figure 4 is the number of traversing stitches -4;
图5是WSF1间隔丝全局排列;Figure 5 shows the global arrangement of spacer filaments in WSF1;
图6是WSF2间隔丝全局排列;Figure 6 shows the global arrangement of spacer filaments in WSF2;
图7是WSF3间隔丝全局排列;Figure 7 is the global arrangement of WSF3 spacer filaments;
图8是间隔梳栉GB3的运动轨迹;Fig. 8 is the trajectory of spacer bar GB3;
图9是单体间隔丝实体模型;Fig. 9 is a solid model of a single spacer wire;
图10是间隔织物实体模型;Fig. 10 is the solid model of spacer fabric;
图11是聚氨酯泡沫实体模型;Figure 11 is a solid model of polyurethane foam;
图12是复合材料代表体单元;Fig. 12 is a composite material representative volume unit;
图13是复合材料代表体单元网格划分;Figure 13 is the grid division of the composite material representative volume;
图14是压缩试验曲线与有限元模拟曲线对比图。Fig. 14 is a comparison chart of the compression test curve and the finite element simulation curve.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员所获得的所有其他实施例,都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. All other embodiments obtained by persons of ordinary skill in the art based on the embodiments of the present invention belong to the protection scope of the present invention.
实施例Example
参见图1,为本发明实施例提供的一种经编间隔织物复合材料应力分析方法,如图1所示,该方法包括利用有限元软件,建立经编间隔织物增强聚氨酯增强复合材料的结构模型;具体的,选取一个最小的完全循环结构单元作为代表体单元,所述代表体单元为两把隔梳栉在一个完整垫纱循环所形成的织物结构单元以及包含的聚氨酯泡沫基体,对选取的代表体单元进行有限元分析建立结构模型。Referring to Fig. 1, a kind of stress analysis method of warp-knitted spacer fabric composite material provided for the embodiment of the present invention, as shown in Fig. 1, this method comprises utilizing finite element software, establishes the structural model of warp-knitted spacer fabric reinforced polyurethane reinforced composite material Concretely, select a minimum complete cycle structure unit as representative body unit, described representative body unit is the fabric structure unit formed by two spacer bars in a complete lap yarn cycle and the polyurethane foam matrix that comprises, to the selected The structural model is established by finite element analysis on behalf of the body element.
根据隔梳栉的运动轨迹建立单根间隔丝模型;依次对单根间隔丝实体模型进行镜像、阵列操作,形成两把间隔梳栉的间隔丝整体排列的三维几何模型;Establish a single spacer wire model according to the movement track of the spacer bar; perform mirroring and array operations on the single spacer wire entity model in turn to form a three-dimensional geometric model of the overall arrangement of the spacer wires of the two spacer bars;
建立经编间隔织物增强聚氨酯复合材料的上、下表面;Build warp-knitted spacer fabrics to reinforce the upper and lower surfaces of polyurethane composites;
将建立好的上、下表面与间隔丝整体排列的三维几何模型进行黏结装配得到间隔织物实体模型;Bond and assemble the established three-dimensional geometric model of the upper and lower surfaces and the overall arrangement of the spacer wires to obtain a solid model of the spacer fabric;
建立一个与间隔织物等体积的聚氨酯泡沫实体模型;Create a polyurethane foam solid model of the same volume as the spacer fabric;
将间隔织物实体模型与聚氨酯泡沫实体模型进行装配,即得到所述结构模型。The structure model is obtained by assembling the spacer fabric solid model and the polyurethane foam solid model.
所述单根间隔丝模型建立方法包括:首先建立点坐标A,B,C,D。然后在两个x-z平面内,分别用直线连接点A、B和点C、D;而在y-z平面内,选择一个中间点O,用圆滑曲线将点B、O和C连接;以点A为圆心,0.1mm为半径在x-y平面做一个圆形,并将此圆面延空间曲线ABCD拖拽生成单根间隔丝实体模型。The method for establishing a single spacer wire model includes: first establishing point coordinates A, B, C, and D. Then in the two x-z planes, use straight lines to connect points A, B and points C, D respectively; and in the y-z plane, select an intermediate point O, and use a smooth curve to connect points B, O and C; take point A as Make a circle on the x-y plane with the center of the circle and a radius of 0.1mm, and drag the circle along the space curve ABCD to generate a single spacer wire solid model.
设置有限元模型的各项参数,所述参数包括间隔梳栉的垫纱方式、各点与垫纱数码对应关系、间隔织物间隔丝参数、经编间隔织物增强聚氨酯复合材料结构参数;The parameters of the finite element model are set, and the parameters include the yarn laying mode of the interval bar, the corresponding relationship between each point and the laying yarn number, the spacer fabric spacer parameters, and the warp-knitted spacer fabric reinforced polyurethane composite material structure parameters;
根据实体模型的特点进行网格划分;使用有限元软件中自由网格划分进行网格划分;设置好实体模型表面网格粗细、质量、实体网格类型参数,利用网格生成工具,对实体模型进行网格划分。将所述实体模型的一端约束,另一端施加压缩载荷来实现;在实体模型上表面z方向上压缩时,将实体模型下表面上所有的节点的自由度设定约束,即设定每一个节点的x、y、z方向上的平动自由度均为零,同时绕x、y、z轴转动自由度也全部设定为零。对实体模型上表面施加均布载荷;选择适当的施加节点力、均布载荷和指定位移。在施加载荷时分多个载荷步施加,在所述结构模型的上表面分12个载荷步施加压缩位移载荷,每步压缩0.38mm。Carry out mesh division according to the characteristics of the solid model; use the free mesh division in the finite element software to divide the mesh; set the surface mesh thickness, quality, and solid mesh type parameters of the solid model, and use the grid generation tool to generate the solid model Perform mesh division. Constrain one end of the solid model, and apply a compressive load to the other end; when compressing in the z direction on the upper surface of the solid model, set constraints on the degrees of freedom of all nodes on the lower surface of the solid model, that is, set each node The translational degrees of freedom in the x, y, and z directions are all zero, and the rotational degrees of freedom around the x, y, and z axes are all set to zero. Apply a uniform load to the upper surface of the solid model; select the appropriate applied nodal force, uniform load, and specified displacement. When the load is applied, it is applied in multiple load steps, and the compressive displacement load is applied in 12 load steps on the upper surface of the structural model, and each step is compressed by 0.38 mm.
对划分好网格的实体模型施加载荷并进入后处理功能生成所述经编间隔织物增强聚氨酯复合材料的应力-应变曲线。Apply load to the meshed solid model and enter the post-processing function to generate the stress-strain curve of the warp-knitted spacer fabric reinforced polyurethane composite material.
为了进一步说明本申请提供的方案,下面通过具体实例进行说明:In order to further illustrate the scheme provided by the present application, the following is illustrated by specific examples:
ANSYS有限元分析软件的分析计算过程可大体分为三步:前处理、加载载荷以及求解后处理。前处理过程包括建立分析对象的实体模型、设置有限元模型的各项参数(包括计算类型、单元类型和材料特性参数等),然后根据实体模型的特点进行网格划分。对划分好网格的实体模型,就可以对其施加载荷并进入后处理功能读取出计算结果。The analysis and calculation process of ANSYS finite element analysis software can be roughly divided into three steps: pre-processing, load loading and post-solution processing. The pre-processing process includes establishing the solid model of the analysis object, setting various parameters of the finite element model (including calculation type, unit type and material property parameters, etc.), and then performing grid division according to the characteristics of the solid model. For the solid model that has been meshed, you can apply loads to it and enter the post-processing function to read the calculation results.
本申请对复合材料建立实体模型并施加压力载荷求解。对于复合材料试样来说,其建模过程中所需要的基本几何参数如下:This application establishes solid models for composite materials and applies pressure loads to solve them. For composite material samples, the basic geometric parameters required in the modeling process are as follows:
织物WSF1、WSF2和WSF3间隔梳栉的垫纱方式分别为:GB3:1-0,2-1/2-1,1-0//,GB4:2-1,1-0/1-0,2-1//;GB3:1-0,3-2/3-2,1-0//,GB4:3-2,1-0/1-0,3-2//;GB3:1-0,4-3/4-3,1-0//,GB4:4-3,1-0/1-0,4-3//,与之对应的垫纱运动图如图2、图3、图4、图5、图6、图7所示。The laying methods of spacer bars of fabrics WSF1, WSF2 and WSF3 are: GB3: 1-0, 2-1/2-1, 1-0//, GB4: 2-1, 1-0/1-0, 2-1 //; GB3: 1-0, 3-2/3-2, 1-0 //, GB4: 3-2, 1-0/1-0, 3-2 //; GB3: 1- 0, 4-3/4-3, 1-0//, GB4: 4-3, 1-0/1-0, 4-3//, the corresponding lap yarn movement diagram is shown in Figure 2 and Figure 3 , Figure 4, Figure 5, Figure 6, Figure 7 shown.
表1各点与垫纱数码对应关系Table 1 Corresponding relationship between each point and lap yarn number
表2间隔织物间隔丝参数Table 2 Spacer Fabric Spacer Parameters
表3经编间隔织物增强聚氨酯复合材料结构参数Table 3 Structural parameters of warp-knitted spacer fabric reinforced polyurethane composites
根据几何参数,选取一个最小的完全循环结构单元作为代表体单元,即间隔梳栉GB3和GB4在一个完整垫纱循环所形成的织物结构单元以及包含的聚氨酯泡沫基体,对选取的代表体单元进行有限元分析。According to the geometric parameters, select a minimum complete cycle structure unit as the representative body unit, that is, the fabric structure unit formed by the spacer bar GB3 and GB4 in a complete lapping cycle and the polyurethane foam matrix contained in it, and carry out the selected representative body unit Finite element analysis.
首先根据试样的间隔梳栉GB3的运动轨迹如图8建立一根直径为0.2mm的间隔丝模型,如图9所示。Firstly, a spacer wire model with a diameter of 0.2 mm is established according to the movement trajectory of the spacer bar GB3 of the sample as shown in Figure 8, as shown in Figure 9.
单根间隔丝模型建立过程:首先建立点坐标A(0,0,7.76),B(2.82,0,0),C(2.82,-1,7.76),D(0,-1,0)。然后在两个x-z平面内,分别用直线连接点A、B和点C、D;而在y-z平面内,选择一个中间点O(2.82,-0.3,3.88),用圆滑曲线将点B、O和C连接,以模拟实际的间隔丝空间弯曲形态。以点A为圆心,0.1mm为半径在x-y平面做一个圆形,并将此圆面延空间曲线ABCD拖拽生成间隔丝实体模型。The process of establishing a single spacer wire model: first establish point coordinates A(0,0,7.76), B(2.82,0,0), C(2.82,-1,7.76), D(0,-1,0). Then in the two x-z planes, use straight lines to connect points A, B and points C, D respectively; and in the y-z plane, select an intermediate point O (2.82, -0.3, 3.88), and use a smooth curve to connect points B and O Connect with C to simulate the actual spatial bending shape of spacer filaments. Make a circle on the x-y plane with point A as the center and 0.1mm as the radius, and drag the circle along the space curve ABCD to generate a spacer wire solid model.
依次对单根间隔丝实体模型进行“镜像”、“阵列”等操作,形成两把间隔梳栉GB3和GB4的间隔丝整体排列的三维几何模型。接下来就要建立间隔织物的上、下表面。根据现有文献研究表明,间隔织物的压缩特性主要是由弹性芯材决定,表面层在压缩过程中发生极小变形对最终结果影响较小。因此,为了简化计算难度及保证模型的收敛性,本申请在间隔织物实体模型的建立过程中,织物的上、下表面被简化为实体面板。根据对间隔织物的实测可得织物上、下面板的厚度为0.7mm。以(0,0,7.06)和(2.82,-1,7.76)两点建立一个块体,即织物的上表面。此处需要将上表面块体中与间隔丝重叠的体积减去,以模拟间隔丝在上表面线圈中的穿套情况。采用同样的方法,建立织物的下表面。将建立好的上、下表面与间隔丝模型进行黏结装配得到间隔织物实体模型,如图10所示。Perform operations such as "mirror image" and "array" on the solid model of a single spacer wire in sequence to form a three-dimensional geometric model of the overall arrangement of the spacer wires of the two spacer bars GB3 and GB4. The next step is to create the upper and lower surfaces of the spacer fabric. According to the existing literature research, the compression characteristics of the spacer fabric are mainly determined by the elastic core material, and the minimal deformation of the surface layer during the compression process has little influence on the final result. Therefore, in order to simplify the calculation difficulty and ensure the convergence of the model, in the process of establishing the solid model of the spacer fabric in this application, the upper and lower surfaces of the fabric are simplified as solid panels. According to the actual measurement of the spacer fabric, the thickness of the upper and lower panels of the fabric is 0.7mm. Establish a block with two points (0,0,7.06) and (2.82,-1,7.76), which is the upper surface of the fabric. Here, the volume overlapping with the spacer wire in the upper surface block needs to be subtracted to simulate the threading of the spacer wire in the upper surface coil. Using the same method, build the lower surface of the fabric. The established upper and lower surfaces and spacer wire models are bonded and assembled to obtain a spacer fabric solid model, as shown in Figure 10.
接下来建立一个与间隔织物等体积的聚氨酯泡沫模型,为了保证计算精度,聚氨酯泡沫模型需要减去在其体积内分布的间隔丝的体积,如图11所示。Next, a polyurethane foam model with the same volume as the spacer fabric is established. In order to ensure the calculation accuracy, the polyurethane foam model needs to subtract the volume of spacer filaments distributed in its volume, as shown in Figure 11.
最后,将间隔织物实体模型与去除了间隔丝的聚氨酯泡沫实体模型进行装配,得到复合材料代表体单元模型,如图12所示。Finally, the solid model of the spacer fabric was assembled with the solid model of the polyurethane foam from which the spacer filaments were removed to obtain a composite material representative body unit model, as shown in Figure 12.
定义单元与材料属性Define element and material properties
根据本申请中复合材料模型的自身特点,结合有限元分析原理,在力学分析时对模型采用SOLID 10 node 92分析单元类型。According to the characteristics of the composite material model in this application, combined with the principle of finite element analysis, the SOLID 10 node 92 analysis element type is used for the model in the mechanical analysis.
在材料属性的定义方面,对复合材料代表体单元中的聚氨酯泡沫基体、面板和间隔丝分别进行定义。将本构关系呈非线性的聚氨酯基体材料定义为各向同性弹性体,但其本构关系呈非线性。对复合材料的面板来说,实际上是浸渍了聚氨酯泡沫的间隔织物面板,可以将其视为单向复合材料,理论上具有横观同性,因此可以将面板定义为正交各向异性体。间隔丝同聚氨酯泡沫材料相似,同样定义为非线性正交各向同性材料。In terms of the definition of material properties, the polyurethane foam matrix, panel and spacer wire in the composite material representative body unit are respectively defined. The polyurethane matrix material whose constitutive relation is nonlinear is defined as isotropic elastomer, but its constitutive relation is nonlinear. For composite panels, it is actually a spacer fabric panel impregnated with polyurethane foam, which can be regarded as a unidirectional composite material, which is theoretically transversely isotropic, so the panel can be defined as an orthotropic body. Spacer filaments are similar to polyurethane foams and are also defined as nonlinear orthotropic materials.
聚氨酯泡沫及间隔丝材料属性定义Definition of polyurethane foam and spacer wire material properties
对非线性各向同性材料的定义所需要的参数包括:拉伸弹性模量、泊松比、拉伸应力应变关系及体积密度。前三者通过对材料的拉伸测试均可获得,材料的体积密度也可通过排水法计算得出。聚氨酯泡沫和间隔丝的各参数如表4所示,其中E为材料弹性模量,μ为材料的泊松比,ρ为材料体积密度。The parameters required for the definition of nonlinear isotropic materials include: tensile elastic modulus, Poisson's ratio, tensile stress-strain relationship, and bulk density. The first three can be obtained through the tensile test of the material, and the bulk density of the material can also be calculated by the drainage method. The parameters of polyurethane foam and spacer wire are shown in Table 4, where E is the elastic modulus of the material, μ is the Poisson’s ratio of the material, and ρ is the bulk density of the material.
表4聚氨酯泡沫和间隔丝各参数Table 4 Parameters of polyurethane foam and spacer wire
表5聚氨酯泡沫材料应力应变关系Table 5 Stress-strain relationship of polyurethane foam materials
表6间隔丝应力应变关系Table 6 Stress-strain relationship of spacer wire
复合材料面板材料属性定义Composite Panel Material Property Definitions
由于本申请中所用的增强体间隔织物及聚氨酯泡沫基体在软件的材料库中没有定义,因此需要由用户自行定义。由前所述,复合材料面板可以视为浸润了聚氨酯泡沫的间隔织物面板,理论上相当于单向复合材料,因而其工程弹性常数可以用单向复合材料弹性参数估算公式求得。Since the reinforcement spacer fabric and polyurethane foam matrix used in this application are not defined in the material library of the software, they need to be defined by the user. As mentioned above, the composite panel can be regarded as a spacer fabric panel impregnated with polyurethane foam, which is theoretically equivalent to a unidirectional composite material, so its engineering elastic constant can be obtained by the unidirectional composite elastic parameter estimation formula.
对复合材料面板工程弹性参数的求解之前必须要获得间隔织物面板的工程弹性参数。为此,本申请将经编间隔织物试样WSF2沿间隔层将上、下表面剖开,并去除黏结在上、下表面的间隔丝。对所得的单层织物进行拉伸测试以求解其弹性参数,单层织物的弹性参数计算结果如表6-4所示,其中E为材料弹性模量(MPa),G为材料剪切模量(MPa),μ为材料的泊松比,下标1表示间隔织物的纵行方向,2表示间隔织物的横列方向,3表示垂直于1和2平面方向。Before solving the engineering elastic parameters of the composite panel, the engineering elastic parameters of the spacer fabric panel must be obtained. For this reason, the applicant splits the upper and lower surfaces of the warp-knitted spacer fabric sample WSF2 along the spacer layer, and removes the spacer filaments bonded to the upper and lower surfaces. The obtained single-layer fabric is subjected to a tensile test to solve its elastic parameters. The calculation results of the elastic parameters of the single-layer fabric are shown in Table 6-4, where E is the material elastic modulus (MPa), and G is the material shear modulus (MPa), μ is the Poisson's ratio of the material, the subscript 1 indicates the wale direction of the spacer fabric, 2 indicates the course direction of the spacer fabric, and 3 indicates the direction perpendicular to the 1 and 2 planes.
表7单层织物的弹性参数Elastic parameters of table 7 single-layer fabric
*为通过试验测得。*Determined by experiment.
目前,估算单向复合材料弹性参数的理论公式有很多,本申请根据经编间隔织物增强体及聚氨酯基体材料的特性,选取了如下公式:At present, there are many theoretical formulas for estimating the elastic parameters of unidirectional composite materials. This application selects the following formula according to the characteristics of the warp-knitted spacer fabric reinforcement and the polyurethane matrix material:
Ex=(1-Vf)E1+VfEf E x =(1-V f )E 1 +V f E f
Ey=Ez=EfE2/((1-Vf)E2+VfEf)E y =E z =E f E 2 /((1-V f )E 2 +V f E f )
Gxy=Gxz=GfG12/((1-Vf)Gf+VfG12)G xy =G xz =G f G 12 /((1-V f )G f +V f G 12 )
vxy=vxz=(1-Vf)μ12+Vfvf v xy =v xz =(1-V f )μ 12 +V f v f
vyx=vxyEy/Ex v yx =v xy E y /E x
vyz=(1-Vf)μ23+Vf(2vf-μ23)v yz =(1-V f )μ 23 +V f (2v f -μ 23 )
其中,Ex、Ey、Ez、Gxy、Gxz、Gyz、vxy、vyx和vyz为复合材料面板弹性参数,E1为单层织物沿经向方向弹性模量,E2为单层织物沿纬向方向弹性模量,G12、G23为单层织物剪切模量,Ef为基体弹性模量,Gf为基体剪切模量,μ12、23为单层织物的泊松比,νf为基体的泊松比,Vf为基体体积含量。Among them, Ex, Ey, Ez, Gxy, Gxz, Gyz, vxy, vyx and vyz are the elastic parameters of the composite material panel, E1 is the elastic modulus of the single-layer fabric along the warp direction, and E2 is the elastic modulus of the single-layer fabric along the weft direction G12 and G23 are the shear modulus of the single-layer fabric, Ef is the elastic modulus of the matrix, Gf is the shear modulus of the matrix, μ12 and 23 are the Poisson’s ratio of the single-layer fabric, νf is the Poisson’s ratio of the matrix, and Vf is the matrix volume content.
聚氨酯泡沫基体的体积含量可以通过用复合材料的总体积减去涤纶丝(间隔织物)的体积含量来确定。复合材料中间隔织物的体积含量的确定方法如下:计算出间隔织物熔融后(即无间隙)的涤纶厚度,再用得到的涤纶厚度除以复合材料的厚度即可得到复合材料中涤纶丝的体积含量。涤纶丝体积含量的计算公式为:The volume content of the polyurethane foam matrix can be determined by subtracting the volume content of polyester filaments (spacer fabric) from the total volume of the composite. The method of determining the volume content of the spacer fabric in the composite material is as follows: Calculate the polyester thickness of the spacer fabric after melting (that is, without gaps), and then divide the obtained polyester thickness by the thickness of the composite material to obtain the volume of polyester filaments in the composite material content. The formula for calculating the volume content of polyester filaments is:
式中,Vs-y为涤纶丝体积含量,ρS为间隔织物的面密度(g/m2),ρP为涤纶丝的体积密度(g/m3),hS为单层间隔织物厚度(mm)。In the formula, Vs-y is the volume content of polyester filaments, ρS is the surface density of the spacer fabric (g/m2), ρP is the volume density of polyester filaments (g/m3), and hS is the thickness of the single-layer spacer fabric (mm).
单层织物的面密度和厚度经过实验测得分别为:390.84g/m2和0.7mm,涤纶丝的体积密度为1.38g/m3,根据式(6-2)计算得出单层织物的体积含量为40.4%,则复合材料面板中基体体积含量为59.6%。根据式(6-1)复合材料面板的弹性参数为:The surface density and thickness of the single-layer fabric are measured through experiments: 390.84g/m2 and 0.7mm respectively, and the volume density of the polyester filament is 1.38g/m3. The volume content of the single-layer fabric is calculated according to formula (6-2) is 40.4%, then the matrix volume content in the composite panel is 59.6%. According to the formula (6-1), the elastic parameters of the composite panel are:
Ex=4.78MPa Ey=Ez=0.31MPaEx=4.78MPa Ey=Ez=0.31MPa
Gyz=0.058MPa Gxy=Gxz=0.076MPaGyz=0.058MPa Gxy=Gxz=0.076MPa
vxy=0.32 vyx=0.2 vyz=0.3vxy=0.32 vyx=0.2 vyz=0.3
代表体单元网格划分Representative Volume Element Meshing
有限元计算方法的核心就是将连续整体离散成子区域,即前述中的单元。因此网格划分的质量对有限元计算结果有明显的影响。同时网格划分疏密程度也间接决定计算所用时间和所需内存大小。一般来说,网格划分越小,模型中单元数量就越多,所需的计算时间也越长。The core of the finite element calculation method is to discretize the continuous whole into sub-regions, that is, the aforementioned units. Therefore, the quality of grid division has a significant impact on the finite element calculation results. At the same time, the degree of grid division density also indirectly determines the calculation time and required memory size. In general, the smaller the mesh size, the more elements there are in the model and the longer the calculation time required.
本论文使用软件中自由网格划分进行网格划分。设置好模型表面网格粗细、质量、实体网格类型等参数,利用网格生成工具,对复合材料代表体单元进行网格划分后的模型如图13所示。复合材料模型采用四面体单元进行划分。该模型划分网格后的试样中含有14597个单元。In this paper, the free meshing in the software is used for meshing. After setting the parameters of model surface mesh thickness, quality, solid mesh type, etc., using the mesh generation tool, the model after meshing the composite material representative volume unit is shown in Figure 13. The composite material model is partitioned by tetrahedral elements. The meshed sample of the model contains 14597 elements.
施加边界条件及载荷Apply boundary conditions and loads
对复合材料代表体单元模型的压缩分析即是模拟试样的压缩试验,通过将模型的一端约束,另一端施加压缩载荷来实现。在复合材料z方向上压缩时,将模型下表面上所有的节点的自由度设定约束,即设定每一个节点的x、y、z方向上的平动自由度均为零,同时绕x、y、z轴转动自由度也全部设定为零。The compression analysis of the composite material representative volume element model is the compression test of the simulated sample, which is realized by constraining one end of the model and applying a compressive load to the other end. When the composite material is compressed in the z direction, set constraints on the degrees of freedom of all nodes on the lower surface of the model, that is, set the translational degrees of freedom of each node in the x, y, and z directions to be zero, and at the same time , y, and z-axis rotational degrees of freedom are all set to zero.
对模型上表面施加均布载荷。可以选择施加节点力、均布载荷和指定位移。本申请选择对模型的上表面施加指定位移。由压缩试验结果可知,试样的压缩曲线呈非线性的变化,因此,在施加载荷时需要分多个载荷步施加,以求精确解。因此在有限元模型的上表面分12个载荷步施加压缩位移载荷,每步压缩0.38mm。Apply a uniform load to the upper surface of the model. There are options to apply nodal forces, uniform loads, and specified displacements. This application chooses to apply a specified displacement to the upper surface of the model. From the results of the compression test, it can be seen that the compression curve of the sample changes nonlinearly, so when applying the load, it needs to be applied in multiple load steps to obtain an accurate solution. Therefore, the compressive displacement load is applied in 12 load steps on the upper surface of the finite element model, and each step is compressed by 0.38 mm.
将通过本申请提供的方法经有限元分析得到的应力-压缩率曲线与压缩试验曲线进行对比,结果如图14所示。由图14可以看出,有限元模拟的复合材料压缩应力-压缩率曲线和试验得出的压缩变形曲线总体吻合较好,但存在少量偏差,这主要是因为:在有限元分析过程中,复合材料被假设为理想的弹性体,它的变形完全遵从胡克定律,并且忽略了聚氨酯泡沫和间隔丝之间的摩擦,在实际的压缩过程中,复合材料材料的压缩变形并不完全服从胡克定律,而且聚氨酯泡沫和间隔丝之间的摩擦也是客观存在的。尽管复合材料有限元模拟的应力-压缩率曲线和试验曲线存在少量的偏差,但申请提供的有限元模拟结果还是能很好地反映试样压缩性能的变化趋势,可以为实际工程中的应用提供结构设计的理论依据。The stress-compressibility curve obtained through finite element analysis by the method provided in this application is compared with the compression test curve, and the results are shown in FIG. 14 . It can be seen from Fig. 14 that the compressive stress-compression rate curve of the composite material simulated by finite element is in good agreement with the compressive deformation curve obtained from the test, but there is a small amount of deviation, which is mainly because: in the process of finite element analysis, the composite The material is assumed to be an ideal elastic body, and its deformation completely obeys Hooke's law, and the friction between the polyurethane foam and the spacer wire is ignored. In the actual compression process, the compression deformation of the composite material does not completely obey Hooke's law. Law, and the friction between polyurethane foam and spacer wire also exists objectively. Although there is a small amount of deviation between the stress-compression rate curve and the test curve of the finite element simulation of composite materials, the finite element simulation results provided by the application can still reflect the change trend of the compressive properties of the sample well, which can provide a basis for practical engineering applications. Theoretical basis for structural design.
经编间隔织物的结构参数对复合材料的能量吸收性能有明显的影响.间隔丝针背横移数较大、间隔丝较细、厚度较大的复合材料,在小应力值条件下具有较高的能量吸收率.反之,间隔丝针背横移数较小、间隔丝较粗、厚度较小的复合材料更适合在大应力条件下作为能量吸收材料使用.因此,在实际的工程应用中,可以通过调整织物结构参数的方法来获得不同能量吸收性能的聚氨酯基复合材料,以满足不同的应用需求The structural parameters of the warp-knitted spacer fabric have a significant impact on the energy absorption performance of the composite material. The composite material with a large number of needle back traverses, a thinner spacer yarn, and a larger thickness has a higher energy absorption performance under the condition of a small stress value. On the contrary, the composite material with smaller spacer needle back traverse number, thicker spacer, and smaller thickness is more suitable for use as an energy absorption material under high stress conditions. Therefore, in practical engineering applications, Polyurethane-based composites with different energy absorption properties can be obtained by adjusting the structural parameters of the fabric to meet different application requirements
需要说明的是,在本申请中,诸如第一和第二等之类的关系术语仅仅用来将一个实体或者操作与另一个实体或操作区分开来,而不一定要求或者暗示这些实体或操作之间存在任何这种实际的关系或者顺序。而且,术语“包括”、“包含”或者其任何其他变体意在涵盖非排他性的包含,从而使得包括一系列要素的过程、方法、物品或者设备不仅包括那些要素,而且还包括没有明确列出的其他要素,或者是还包括为这种过程、方法、物品或者设备所固有的要素。在没有更多限制的情况下,由语句“包括一个……”限定的要素,并不排除在包括所述要素的过程、方法、物品或者设备中还存在另外的相同要素。It should be noted that in this application, relative terms such as first and second are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply that these entities or operations Any such actual relationship or order exists between. Furthermore, the term "comprises", "comprises" or any other variation thereof is intended to cover a non-exclusive inclusion such that a process, method, article or apparatus comprising a set of elements includes not only those elements, but also includes elements not expressly listed. other elements of or also include elements inherent in such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising a ..." does not exclude the presence of additional identical elements in the process, method, article or apparatus comprising said element.
以上所述仅为本发明的较佳实施例而已,并非用于限定本发明的保护范围。凡在本发明的精神和原则之内所作的任何修改、等同替换、改进等,均包含在本发明的保护范围内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the protection scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principles of the present invention are included in the protection scope of the present invention.
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