CN106400295B - Three-dimensional woven tube and the three dimensional knitting machine and weaving for making the three-dimensional woven tube - Google Patents
Three-dimensional woven tube and the three dimensional knitting machine and weaving for making the three-dimensional woven tube Download PDFInfo
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- CN106400295B CN106400295B CN201610793108.XA CN201610793108A CN106400295B CN 106400295 B CN106400295 B CN 106400295B CN 201610793108 A CN201610793108 A CN 201610793108A CN 106400295 B CN106400295 B CN 106400295B
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- 238000009940 knitting Methods 0.000 title claims description 12
- 238000009941 weaving Methods 0.000 title description 5
- 239000000969 carrier Substances 0.000 claims abstract description 72
- 238000009954 braiding Methods 0.000 claims abstract description 15
- 238000000034 method Methods 0.000 claims abstract description 11
- 239000010410 layer Substances 0.000 claims description 9
- 239000002356 single layer Substances 0.000 claims description 2
- 239000004744 fabric Substances 0.000 description 4
- 239000000463 material Substances 0.000 description 3
- 238000010586 diagram Methods 0.000 description 2
- 239000004753 textile Substances 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 239000002131 composite material Substances 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000000465 moulding Methods 0.000 description 1
- 239000007787 solid Substances 0.000 description 1
- 239000002759 woven fabric Substances 0.000 description 1
Classifications
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- D—TEXTILES; PAPER
- D04—BRAIDING; LACE-MAKING; KNITTING; TRIMMINGS; NON-WOVEN FABRICS
- D04C—BRAIDING OR MANUFACTURE OF LACE, INCLUDING BOBBIN-NET OR CARBONISED LACE; BRAIDING MACHINES; BRAID; LACE
- D04C1/00—Braid or lace, e.g. pillow-lace; Processes for the manufacture thereof
- D04C1/06—Braid or lace serving particular purposes
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- D—TEXTILES; PAPER
- D10—INDEXING SCHEME ASSOCIATED WITH SUBLASSES OF SECTION D, RELATING TO TEXTILES
- D10B—INDEXING SCHEME ASSOCIATED WITH SUBLASSES OF SECTION D, RELATING TO TEXTILES
- D10B2403/00—Details of fabric structure established in the fabric forming process
- D10B2403/03—Shape features
- D10B2403/033—Three dimensional fabric, e.g. forming or comprising cavities in or protrusions from the basic planar configuration, or deviations from the cylindrical shape as generally imposed by the fabric forming process
- D10B2403/0333—Three dimensional fabric, e.g. forming or comprising cavities in or protrusions from the basic planar configuration, or deviations from the cylindrical shape as generally imposed by the fabric forming process with tubular portions of variable diameter or distinct axial orientation
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- Engineering & Computer Science (AREA)
- Manufacturing & Machinery (AREA)
- Textile Engineering (AREA)
- Looms (AREA)
- Braiding, Manufacturing Of Bobbin-Net Or Lace, And Manufacturing Of Nets By Knotting (AREA)
- Woven Fabrics (AREA)
Abstract
本发明涉及三维编织管及制作该三维编织管的三维编织机和编织工艺,三维编织管包括多个代表性体积单元,每个代表性体积单元均由两根由对应周向携纱器周向运动而形成的周向纱线节和两根由对应径向携纱器径向移动而形成的径向纱线节构成,同一个代表性体积单元中任意一根纱线节穿插于其相邻两根纱线节之间,各代表性体积单元排列成各纱线节在圆周方向上对应顺序相接、在轴向上对应顺序相接的圆管结构。本发明提供了一种基于空间群P4的三维编织管及制作该三维编织管的三维编织机和编织工艺。
The invention relates to a three-dimensional braided pipe and a three-dimensional braided machine and a braiding process for making the three-dimensional braided pipe. The three-dimensional braided pipe includes a plurality of representative volume units, and each representative volume unit is moved circumferentially by two corresponding circumferential yarn carriers. The circumferential yarn node formed and two radial yarn nodes formed by the radial movement of the corresponding radial yarn carrier are formed. Any yarn node in the same representative volume unit is interspersed between two adjacent yarn nodes. Between the yarn nodes, each representative volume unit is arranged into a circular tube structure in which each yarn node is connected in corresponding order in the circumferential direction and in corresponding order in the axial direction. The invention provides a three-dimensional braided tube based on space group P4, a three-dimensional braided machine and a braiding process for making the three-dimensional braided tube.
Description
技术领域technical field
本发明涉及三维编织领域中的基于空间群P4的三维编织管及该制作该三维编织管的三维编织机和编织工艺。The invention relates to a three-dimensional braided tube based on space group P4 in the field of three-dimensional braided tubes, a three-dimensional braided machine and a braiding process for making the three-dimensional braided tube.
背景技术Background technique
近年来三维编织复合材料作为一种新型的工程材料得到广泛应用,因其具有完整结构、一次成型和省时省力等优点,这种编织物被广泛的应用于各个领域,并得到织造技术研究院相当大的关注。In recent years, three-dimensional braided composite materials have been widely used as a new type of engineering material. Because of their advantages of complete structure, one-time molding, and time-saving and labor-saving, this braided fabric is widely used in various fields and has been approved by the Institute of Weaving Technology. Considerable attention.
为了能够得到几何结构更加稳定,力学性能更加优异的编织材料,从基于空间群P3到基于空间群P4,人们对编织结构一直进行着新的尝试。中国专利CN105063885A公开了一种“基于空间群P4对称性的三维编织材料”,该文件公开了一种基于空间群P4的四纱线纺织结构,该四纱线纺织结构包括多个在横向和纵向上顺序相接的代表性体积单元,该代表性体积单元如公开文件的图1所示:包括四根纱线节,任意一根纱线节穿插于其相邻两个纱线节之间,各代表性体积单元在横向上和纵向上顺序相接而形成一块平面结构的三维编织织物。现有的这种三维编织织物存在的问题在于:该三维编织织物为平面结构,而在实际生产应用中,管状的三维编织物更有应用价值。In order to obtain braided materials with more stable geometric structure and better mechanical properties, people have been making new attempts on braided structures from space group P3 to space group P4. Chinese patent CN105063885A discloses a "three-dimensional braided material based on space group P4 symmetry", which discloses a four-yarn textile structure based on space group P4. The four-yarn textile structure includes multiple The representative volume unit connected in sequence above, as shown in Figure 1 of the public document: it includes four yarn nodes, any yarn node interspersed between two adjacent yarn nodes, Each representative volume unit is sequentially connected in the horizontal and vertical directions to form a three-dimensional woven fabric with a planar structure. The problem with the existing three-dimensional braided fabric is that the three-dimensional braided fabric has a planar structure, but in actual production and application, the tubular three-dimensional braided fabric has more application value.
发明内容Contents of the invention
本发明的目的在于提供一种基于空间群P4的三维编织管;本发明的目的还在于提供一种制作该三维编织管的三维编织机和编织工艺。The object of the present invention is to provide a three-dimensional braided pipe based on space group P4; the object of the present invention is also to provide a three-dimensional braided machine and a braiding process for making the three-dimensional braided pipe.
为了解决上述问题,本发明中三维编织管的技术方案为:In order to solve the above problems, the technical scheme of the three-dimensional braided pipe in the present invention is:
基于空间群P4的三维编织管,包括多个代表性体积单元,每个代表性体积单元均由两根由对应周向携纱器周向运动而形成的周向纱线节和两根由对应径向携纱器径向移动而形成的径向纱线节构成,同一个代表性体积单元中任意一根纱线节穿插于其相邻两根纱线节之间,各代表性体积单元排列成各纱线节在圆周方向上对应顺序相接、在轴向上对应顺序相接的圆管结构。The three-dimensional braided tube based on space group P4 includes multiple representative volume units, each representative volume unit consists of two circumferential yarn nodes formed by the circumferential movement of the corresponding circumferential yarn carrier and two circumferential yarn nodes formed by the corresponding radial The radial yarn section formed by the radial movement of the yarn carrier, any yarn section in the same representative volume unit is interspersed between two adjacent yarn sections, and each representative volume unit is arranged into each The yarn nodes correspond to the sequentially connected circular tube structures in the circumferential direction and sequentially connected in the axial direction.
在垂直于圆管结构的轴向截面上,三维编织管包括至少两个由单层所述代表性体积单元形成的编织层。On an axial section perpendicular to the circular tube structure, the three-dimensional braided tube includes at least two braided layers formed by a single layer of the representative volume unit.
本发明中三维编织机的技术方案为:The technical scheme of three-dimensional knitting machine among the present invention is:
三维编织机,包括2n个同轴线设置有的周向移动轨道,周向移动轨道上导向移动装配有多个沿圆周方向均匀间隔布置的周向携纱器,不同周向移动轨道上的对应周向携纱器以周向移动轨道的中心辐射状分布,定义位于同一辐射线上的周向携纱器形成一列,三维编织机还包括与周向携纱器列数对应的多列以周向移动轨道的中心辐射状分布的可沿周向移动轨道径向移动的径向携纱器,各列径向携纱器分别位于对应相邻两列周向携纱器之间,每列径向携纱器中径向携纱器的个数为2n个,任意一列径向携纱器的相邻两列径向携纱器中的对应两个径向携纱器处于以周向移动轨道的中心为圆心的同一半径上,各径向携纱器与其相邻的周向携纱器在圆周方向上错位布置,任意一列周向携纱器的相邻两列径向携纱器中,其中一列径向携纱器的最外侧径向携纱器位于该列周向携纱器的最外侧周向携纱器的外侧且可沿圆周方向移动,另外一列径向携纱器的最内侧径向携纱器位于该列周向携纱器的最内侧周向携纱器的内侧且可沿圆周方向移动,n取正整数。The three-dimensional knitting machine includes 2n circumferential moving tracks provided on coaxial lines. The guiding movement on the circumferential moving track is equipped with a plurality of circumferential yarn carriers evenly spaced along the circumferential direction. Correspondence on different circumferential moving tracks The circumferential yarn carriers are radially distributed in the center of the circumferential moving track, and the circumferential yarn carriers on the same radial line are defined to form a row. The three-dimensional knitting machine also includes multiple rows corresponding to the number of rows of the circumferential yarn carriers. The radial yarn carriers radially distributed to the center of the moving track can move radially along the circumferential moving track, each column of radial yarn carriers is respectively located between two adjacent columns of circumferential yarn carriers, The number of radial yarn carriers in the yarn carrier is 2n, and the corresponding two radial yarn carriers in the two adjacent rows of radial yarn carriers in any row of radial yarn carriers are on the circumferential moving track On the same radius where the center is the center of the circle, each radial yarn carrier and its adjacent circumferential yarn carrier are arranged in a dislocation in the circumferential direction. The outermost radial yarn carrier of one row of radial yarn carriers is located outside the outermost circumferential yarn carrier of the row of circumferential yarn carriers and can move in the circumferential direction, and the innermost of the other row of radial yarn carriers The radial yarn carrier is located inside the innermost circumferential yarn carrier of the row of circumferential yarn carriers and can move along the circumferential direction, and n takes a positive integer.
本发明中编织工艺的技术方案为:The technical scheme of weaving process among the present invention is:
编织工艺,包括多个重复的编织步骤单元,每个编织步骤单元包括以下步骤,第一步,相邻两个周向移动轨道上的周向携纱器分别沿对应周向移动轨道朝向反方向移动一个周向角度,周向角度等于相邻两列周向携纱器的夹角;第二步,相邻两列径向携纱器分别沿周向移动轨道的径向朝向反方向移动一个径向距离,径向距离等于同一列径向携纱器中相邻两个径向携纱器的间距;第三步,相邻两列径向携纱器中,距离周向移动轨道中心最近的径向携纱器和距离周向移动轨道中心最远的径向携纱器沿周向朝向反方向移动一个所述周向角度。The weaving process includes a plurality of repeated weaving step units, and each weaving step unit includes the following steps. In the first step, the circumferential yarn carriers on two adjacent circumferential moving tracks respectively face in opposite directions along the corresponding circumferential moving tracks Move a circumferential angle, and the circumferential angle is equal to the angle between two adjacent rows of circumferential yarn carriers; in the second step, the adjacent two rows of radial yarn carriers move one Radial distance, the radial distance is equal to the distance between two adjacent radial yarn carriers in the same row of radial yarn carriers; the third step, among the two adjacent rows of radial yarn carriers, the distance from the center of the circumferential moving track is closest The radial yarn carrier and the radial yarn carrier farthest from the center of the circumferential moving track move in the opposite direction along the circumferential direction by one of the circumferential angles.
本发明的有益效果为:本发明中周向携纱器沿周向移动轨道的周向移动形成周向纱线节,径向携纱器沿径向移动形成径向纱线节,每个代表性体积单元均包含均由两个周向纱线节和两个径向纱线节构成,从而形成了基于空间群P4的三维编织管,相对于平面结构的P4编织而言,有更广阔的应用价值。The beneficial effects of the present invention are: in the present invention, the circumferential movement of the circumferential yarn carrier along the circumferential moving track forms a circumferential yarn node, and the radial yarn carrier moves radially to form a radial yarn segment, each representing The volume units are all composed of two circumferential yarn nodes and two radial yarn nodes, thus forming a three-dimensional braided tube based on space group P4, which has a wider space than the planar P4 braid. Value.
附图说明Description of drawings
图1是本发明中三维编织管的一个实施例的结构示意图;Fig. 1 is a schematic structural view of an embodiment of a three-dimensional braided pipe in the present invention;
图2是图1的理论模型图;Fig. 2 is the theoretical model figure of Fig. 1;
图3是图1中的A处放大图;Fig. 3 is an enlarged view of place A in Fig. 1;
图4是图1中处于中间位置的单个代表性体积单元的结构示意图;Fig. 4 is a schematic structural view of a single representative volume unit in an intermediate position in Fig. 1;
图5是图4的立体图;Fig. 5 is a perspective view of Fig. 4;
图6是图1中处于内侧边缘位置的单个代表性体积单元的结构示意图;Fig. 6 is a schematic structural view of a single representative volume unit at an inner edge position in Fig. 1;
图7是图1中处于外侧边缘位置的单个代表性体积单元的结构示意图;Fig. 7 is a schematic structural view of a single representative volume unit at an outer edge position in Fig. 1;
图8是本发明中代表性体积单元的拓扑结构图;Fig. 8 is a topological structure diagram of a representative volume unit in the present invention;
图9是本发明中三维编织工艺中各周向携纱器和径向携纱器的移动示意图。Fig. 9 is a schematic diagram of movement of each circumferential yarn carrier and radial yarn carrier in the three-dimensional knitting process of the present invention.
具体实施方式Detailed ways
基于空间群P4的三维编织管的实施例如图1~7所示:该三维编织管10包括五个由单层代表性体积单元11形成的编织层,每个代表性体积单元11均由两根由对应周向携纱器周向于运动而形成的周向纱线节12和两根由对应径向携纱器径向移动而形成的径向纱线节13构成,同一个代表性体积单元11中任意一根纱线节穿插于其相邻两根纱线节之间。各代表性体积单元排列成各纱线节在圆周方向上对应顺序相接、在轴向上对应顺序相接的圆管结构。The embodiment of the three-dimensional braided tube based on space group P4 is shown in FIGS. The circumferential yarn segment 12 formed corresponding to the circumferential movement of the circumferential yarn carrier and two radial yarn segments 13 formed by the radial movement of the corresponding radial yarn carrier are formed. In the same representative volume unit 11 Any one yarn node is interspersed between two adjacent yarn nodes. Each representative volume unit is arranged into a circular tube structure in which each yarn node is connected in corresponding order in the circumferential direction and in corresponding order in the axial direction.
由于具有多个编织层,处于内侧边缘位置的代表性体积单元、处于外侧边缘位置处的代表性体积单元和处于中间位置(即由内至外数的第二层、第三层和第四层)的代表性体积单元的径向纱线节会有所不同,处于中间位置的代表性体积单元的结构如图4-5所示,处于内侧边缘位置的代表性体积单元的结构如图6所示,处于外侧边缘位置的代表性体积单元的结构如图7所示,从图中可以看出,处于内侧边缘位置的代表性体积单元的径向纱线节的内端在周向上具有内侧拐角结构,处于外侧边缘位置的代表性体积单元的径向纱线节的外端在周向上具有外侧拐角,而处于中间位置的代表性体积单元的径向纱线节无上述的拐角结构,在俯视方向上径向纱线节的轨迹为方环形。不同位置的代表性体积单元的周向纱线节的形状是一致的,只不过在半径上有所区别,外层的代表性体积单元的周向纱线节的半径会大于内层的代表性体积单元的周向纱线节的半径。图中△θ为每个代表性单元的圆心角;γ'表示周向纱线节12与径向纱线节13的夹角,该夹角大于90度;△R表示代表性单元的半径增量;α'、β'分别代表编织角;h'表示代表性单元的高度。Due to multiple braided layers, the representative volume units at the inner edge position, the representative volume units at the outer edge position, and the middle positions (i.e., the second, third and fourth layers counted from the inner to the outer The radial yarn nodes of the representative volume unit of ) will be different, the structure of the representative volume unit at the middle position is shown in Figure 4-5, and the structure of the representative volume unit at the inner edge position is shown in Figure 6 The structure of the representative volume unit at the outer edge position is shown in Figure 7. It can be seen from the figure that the inner end of the radial yarn node of the representative volume unit at the inner edge position has an inner corner in the circumferential direction Structure, the outer end of the radial yarn node of the representative volume unit at the outer edge position has an outer corner in the circumferential direction, while the radial yarn node of the representative volume unit at the middle position has no above-mentioned corner structure, in the top view The trajectory of radial yarn nodes in the direction is a square ring. The shapes of the circumferential yarn nodes of the representative volume units at different positions are the same, but differ in radius, the radius of the circumferential yarn nodes of the representative volume units of the outer layer will be larger than that of the representative volume units of the inner layer The radius of the circumferential yarn node of the volume element. In the figure, △θ is the central angle of each representative unit; γ' indicates the angle between the circumferential yarn segment 12 and the radial yarn segment 13, which is greater than 90 degrees; △R indicates the radius increase of the representative unit The amount; α', β' represent the braiding angle; h' represents the height of the representative unit.
三维编织机的实施例如图9所示:包括2n个同轴线设置有的周向移动轨道22,本实施例中n取2,n值就意味着编织层的层数,使用该实施例中的三维编织机可以编织出两层结构的三维编织管,周向移动轨道22上导向移动装配有多个沿圆周方向均匀间隔布置的周向携纱器20(图9中实心点表示),不同周向移动轨道上的对应周向携纱器以周向移动轨道的中心辐射状分布,定义位于同一辐射线上的周向携纱器形成一列,三维编织机还包括与周向携纱器列数对应的多列以周向移动轨道的中心辐射状分布的可沿周向移动轨道径向移动的径向携纱器21(图9中空心圈表示),各列径向携纱器分别位于对应相邻两列周向携纱器之间,每列径向携纱器中径向携纱器的个数为2n即4个,任意一列径向携纱器的相邻两列径向携纱器中的对应两个径向携纱器处于以周向移动轨道的中心为圆心的同一半径上,各径向携纱器与其相邻的周向携纱器在圆周方向上错位布置,任意一列周向携纱器的相邻两列径向携纱器中,其中一列径向携纱器的最外侧径向携纱器位于该列周向携纱器的最外侧周向携纱器的外侧且可沿圆周方向移动,另外一列径向携纱器的最内侧径向携纱器位于该列周向携纱器的最内侧周向携纱器的内侧且可沿圆周方向移动。同一半径上的各周向携纱器沿圆周方向均匀间隔布置,同一半径上的各径向携纱器沿圆周方向均匀间隔布置,即相邻两列周向携纱器的夹角与相邻两列径向携纱器的夹角相同。The embodiment of the three-dimensional knitting machine is shown in Figure 9: it includes the circumferential moving track 22 provided with 2n coaxial lines. In this embodiment, n is 2, and the value of n means the number of braided layers. The three-dimensional knitting machine can weave a two-layer three-dimensional braided tube, and the guide movement on the circumferential moving track 22 is equipped with a plurality of circumferential yarn carriers 20 (represented by solid points in Fig. 9 ) that are evenly spaced along the circumferential direction. The corresponding circumferential yarn carriers on the circumferential moving track are radially distributed in the center of the circumferential moving track, and the circumferential yarn carriers on the same radial line are defined to form a row. The three-dimensional knitting machine also includes a row of circumferential yarn carriers. The radial yarn carriers 21 (represented by hollow circles in Fig. 9 ) that are radially distributed in the center of the circumferential moving track and radially move along the circumferential moving track for multiple rows corresponding to the numbers, each row of radial yarn carrying devices are respectively located at Corresponding between two adjacent rows of circumferential yarn carriers, the number of radial yarn carriers in each row of radial yarn carriers is 2n, that is, 4, and the adjacent two rows of radial yarn carriers in any row of radial yarn carriers The corresponding two radial yarn carriers in the yarn device are located on the same radius with the center of the circumferential moving track as the center of the circle, and each radial yarn carrier and its adjacent circumferential yarn carrier are staggered in the circumferential direction. Among the adjacent two rows of radial yarn carriers of a row of circumferential yarn carriers, the outermost radial yarn carrier of one row of radial yarn carriers is located at the outermost circumferential yarn carrier of the row of circumferential yarn carriers The outermost radial yarn carrier of another row of radial yarn carriers is located inside the innermost circumferential yarn carrier of the row of circumferential yarn carriers and can move along the circumferential direction. The circumferential yarn carriers on the same radius are evenly spaced along the circumferential direction, and the radial yarn carriers on the same radius are evenly spaced along the circumferential direction, that is, the angle between two adjacent rows of circumferential yarn carriers and the adjacent The included angles of the two rows of radial yarn carriers are the same.
在本发明的其它实施例中,根据所需编织的层数,n还可以取1、3、4等其它正整数。In other embodiments of the present invention, n may also take other positive integers such as 1, 3, and 4 according to the number of layers to be woven.
使用上述三维编织机制作三维编织管的编织工艺的实施例如图9所示:包括多个重复的编织步骤单元,编织步骤单元包括以下步骤,第一步如图9中的A所示,相邻两个周向移动轨道上的周向携纱器分别沿对应周向移动轨道朝向反方向移动一个周向角度,周向角度等于相邻两列周向携纱器的夹角;第二步如图9中的B所示,相邻两列径向携纱器分别沿周向移动轨道的径向朝向反方向移动一个径向距离,径向距离等于同一列径向携纱器中相邻两个径向携纱器的间距;第三步如图9中的C所示,相邻两列径向携纱器中,距离周向移动轨道中心最近的径向携纱器和距离周向移动轨道中心最远的径向携纱器沿周向朝向反方向移动一个所述周向角度,三步以后,各携纱器回到了原始排列,然后打紧,重复上述步骤数次即可获得一种满足空间群P4对称性的新型三维编织管的预制件,从俯视方向上,周向携纱器的运动轨迹是一个圆形环,径向携纱器的运动轨迹是一个方形环。The embodiment of the braiding process of using the above-mentioned three-dimensional braiding machine to make a three-dimensional braided tube is shown in Figure 9: it includes a plurality of repeated braiding step units, and the braiding step unit includes the following steps, the first step is shown in A in Figure 9, adjacent The circumferential yarn carriers on the two circumferential moving tracks respectively move a circumferential angle in the opposite direction along the corresponding circumferential moving tracks, and the circumferential angle is equal to the angle between two adjacent rows of circumferential yarn carriers; the second step is as follows: As shown in B in Figure 9, two adjacent rows of radial yarn carriers move a radial distance in the opposite direction along the radial direction of the circumferential moving track, and the radial distance is equal to that of two adjacent rows of radial yarn carriers in the same row. The distance between two radial yarn carriers; the third step is as shown in C in Fig. 9, among two adjacent rows of radial yarn carriers, the nearest radial yarn carrier from the center of the circumferential moving track is the distance from the circumferential moving The farthest radial yarn carrier in the center of the track moves in the opposite direction along the circumferential direction by one of the circumferential angles. After three steps, each yarn carrier returns to the original arrangement, and then tightens. Repeat the above steps several times to obtain a The prefabricated part of the new three-dimensional braided tube satisfying the symmetry of space group P4, from the top view direction, the movement track of the circumferential yarn carrier is a circular ring, and the movement track of the radial yarn carrier is a square ring.
三维编织管的预制件中纱线轨迹如图8所示:‘1-6’表示每种纱线的拓扑结构。‘1-4’为径向纱线节的拓扑结构。1和2分别代表外表面和内表面纱线的拓扑结构。3和4代表预制件中径向纱线节的移动规律。5和6为周向纱线节的拓扑结构,重复Step1、Step2、Step3和打紧可形成新型三维编织管。该新型三维编织管的理论模型可通过空间群P4的平移对称操作获得。The yarn trajectory in the preform of the 3D braided tube is shown in Fig. 8: '1-6' indicates the topology of each yarn. '1-4' is the topology of radial yarn nodes. 1 and 2 represent the topology of the outer and inner surface yarns, respectively. 3 and 4 represent the movement law of the radial yarn nodes in the preform. 5 and 6 are the topological structures of the circumferential yarn nodes, repeating Step1, Step2, Step3 and tightening can form a new three-dimensional braided tube. The theoretical model of the novel 3D braided tube can be obtained through the translational symmetry operation of space group P4.
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