CN114990778B - Design method of knitting chassis of rotary three-dimensional knitting machine - Google Patents
Design method of knitting chassis of rotary three-dimensional knitting machine Download PDFInfo
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- CN114990778B CN114990778B CN202210643294.4A CN202210643294A CN114990778B CN 114990778 B CN114990778 B CN 114990778B CN 202210643294 A CN202210643294 A CN 202210643294A CN 114990778 B CN114990778 B CN 114990778B
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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
- D04C3/00—Braiding or lacing machines
- D04C3/02—Braiding or lacing machines with spool carriers guided by track plates or by bobbin heads exclusively
- D04C3/24—Devices for controlling spool carriers to obtain patterns, e.g. devices on guides or track plates
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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
- D04C3/00—Braiding or lacing machines
- D04C3/02—Braiding or lacing machines with spool carriers guided by track plates or by bobbin heads exclusively
- D04C3/14—Spool carriers
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- Braiding, Manufacturing Of Bobbin-Net Or Lace, And Manufacturing Of Nets By Knotting (AREA)
Abstract
The invention relates to a design method of a knitting chassis of a rotary three-dimensional knitting machine, which comprises a chassis, an angle wheel and a driving plate, wherein the angle wheel and the driving plate are formedThe overall plan view is denoted as shape a; the shape A consists of a plurality of n-notch circles with the same size, and is obtained based on the radius r of an circumscribed circle of the n-notch circles, the center distance d of two adjacent n-notch circles and the cutting angle beta of the n-notch circles; or shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is composed, and the shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained. The invention systematically designs the chassis of the rotary three-dimensional braiding machine, thereby greatly enriching the variety of the rotary three-dimensional braiding machine.
Description
Technical Field
The invention belongs to the technical field of textile machines, and particularly relates to a design method of a knitting chassis of a rotary three-dimensional knitting machine.
Background
If the plane of movement of the carrier of the three-dimensional knitting machine is set to the xoy coordinate system, the knitting axis direction can be set to oz. In the knitting axial direction, linear motion with the speed v (t) is performed, and a knitting structure is formed through spindle motion of an xoy plane. The design of the three-dimensional braiding machine is mainly the design of the motion path of the yarn carrier on the xoy plane, namely the design of the chassis. The movement of the yarn carrier on the chassis is divided into linear movement and circular movement, wherein the linear movement is a four-step three-dimensional braiding machine and the two-step three-dimensional braiding machine, and the circular movement is a Tsuzuki three-dimensional braiding machine.
Compared with linear motion, the rotary three-dimensional braiding machine with circular motion is easier to automate, the earliest braiding machine adopts a mode of combining a driving plate and a track, and the track is fixed so that one type of machine can only weave one type of structure; the Hozerg braiding machine adds a clutch device on the track, but only slightly enriches the braiding structure; the Tsuzuki rotary three-dimensional braiding machine adopts an independent motor to control the horn wheels, so that the braiding flexibility is greatly improved, but adjacent horn wheels can not move simultaneously; the 3TEX rotary three-dimensional braiding machine is provided with the clutch device between the angle wheels, so that the problem that adjacent angle wheels cannot rotate simultaneously is solved, but the yarn carrying quantity is not high and is difficult to solve; the hexagonal braiding machine has a certain improvement on the yarn carrying quantity, but the braiding types are limited due to the hexagonal geometric structure, so that a conversion device is added in the second generation of hexagonal braiding for solving the problem, but the hexagonal braiding machine has obvious defects in the yarn carrying quantity and the braiding pattern; in general, the current rotary three-dimensional braiding machine has few types, and only four types of angle wheel equipment can be independently controlled, so that the equipment has a large design space.
Therefore, research on a design method of a knitting chassis of a rotary three-dimensional knitting machine enriches the types of the existing knitting machines so as to solve the problems of insufficient yarn carrying quantity and single knitting pattern in the prior art.
Disclosure of Invention
The invention aims to solve the problems in the prior art and provides a design method of a knitting chassis of a rotary three-dimensional knitting machine.
In order to achieve the above purpose, the technical scheme adopted by the invention is as follows:
the design method of the rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n cut circles with the same size;
n is 2, 3 or 8;
the forming process of the n incision circle comprises the following steps: n circles b with the same size and uniformly distributed around the center circumference of the circle a are arranged around the circle a, the circle b is intersected with the circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The intersecting areas of different circles b and the circle a are not overlapped, and after the intersecting part of the circles b and the circle a is removed, the remaining shape is an n-cut circle;
the shape A is based on the radius r of the circumscribed circle of the n-cut circles, the center distance d of the adjacent two n-cut circles,The cutting angle beta of the n-cut circle is obtained, and the cutting angle beta is a line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r is a set value, r >0;
d and β are calculated values, if there is an even positive number p such that pθ=2pi, θ is the interior angle of the n-cut circle (the n-cut circle is arranged in the chassis, the occupied area can be equivalently a regular n-polygon, and this interior angle θ is the interior angle of the regular n-polygon), and θ=pi× (n-2)/n, the calculation formula of d and β is as follows:
β≤2π/n；
d＝2×r×cos(β/2)；
r≤d×sin(π/n)。
otherwise, the calculation formulas of d and beta are as follows:
β≤2π/n；
β≤π/2；
d＝2×r×cos(β/2)；
the invention also provides a design method of the knitting chassis of the rotary three-dimensional knitting machine, the knitting chassis of the rotary three-dimensional knitting machine comprises a chassis, an angle wheel and a driving plate, the overall top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is formed;
n 1 is 3, n 2 Is 2; alternatively, n 1 Is 3, n 2 4; alternatively, n 1 Is 3, n 2 6; alternatively, n 1 Is 3, n 2 8; alternatively, n 1 Is 4, n 2 6; alternatively, n 1 Is 4, n 2 8; alternatively, n 1 Is 6, n 2 4;
n 1 or n 2 The incision circle is formed by the following steps: around circle a n is arranged 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r 1 is set as a value r 1 >0；
r 2 、d、β 1 、β 2 To calculate the value, if there are positive even numbers p and q such that pθ n +qθ m ＝2π，θ n Is n 1 Internal angle of incision circle, theta n ＝π×(n 1 -2)/n 1 ，θ m Is n 2 Internal angle of incision circle, theta m ＝π×(n 2 -2)/n 2 Or n 1 =2, or n 2 =2, then r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
otherwise, r is 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 +β 2 ≤π；
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
advantageous effects
The design method of the rotary three-dimensional braiding machine braiding chassis realizes the distinction between a compact structure and a void structure by proposing the concept of the inner angle of a notched circle, and the characteristics of all notched circles on the chassis are represented as r 1 、r 2 、d、β 1 、β 2 Five parameters (or r, d and beta) establish the relation among the parameters, realize the determination of the rest parameters by partial parameters, and greatly facilitate the subsequent parameterization design of the chassis of the braiding machine of different models.
Drawings
FIG. 1 shows the parameter r 1 、r 2 、d、β 1 、β 2 Is a label graph of (2);
FIGS. 2 and 3 are combined designs of 3-cut circles and 2-cut circles;
FIG. 4 is a schematic view of a knitting chassis of the rotary three-dimensional knitting machine of example 1;
fig. 5 is a schematic view of the movement path of the yarn carrier of embodiment 1;
FIG. 6 is a schematic view showing the spatial structure of the knitted component according to embodiment 1;
FIG. 7 is a schematic view showing the spatial structure of the knitted component according to embodiment 1;
FIGS. 8 and 9 are combined designs of 3-cut circles and 4-cut circles;
FIGS. 10 and 11 are combined designs of 3-cut circles and 6-cut circles;
FIGS. 12 and 13 are combined designs of 3-cut circles and 8-cut circles;
fig. 14 and 15 are combined designs of a 4-cut circle and a 6-cut circle;
FIGS. 16 and 17 are combined designs of a 4-cut circle and an 8-cut circle;
FIGS. 18 and 19 are combined designs of 6-cut circles and 4-cut circles;
FIGS. 20 and 21 are combined designs of 3 cut circles;
FIG. 22 is a schematic view of a knitting chassis of the rotary three-dimensional knitting machine of example 8;
fig. 23 is a schematic view of the movement path of the yarn carrier of embodiment 8;
FIG. 24 is a schematic view showing the spatial structure of a woven member of example 8;
fig. 25 is a schematic view showing the spatial structure of the knitted component according to embodiment 8;
FIGS. 26 and 27 are combined designs of the 2-cut circles;
fig. 28 and 29 are combined designs of the 8-cut circles.
Detailed Description
The invention is further described below in conjunction with the detailed description. It is to be understood that these examples are illustrative of the present invention and are not intended to limit the scope of the present invention. Further, it is understood that various changes and modifications may be made by those skilled in the art after reading the teachings of the present invention, and such equivalents are intended to fall within the scope of the claims appended hereto.
A design method of a rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n-cut circles with the same size;
n is 2, 3 or 8;
the forming process of the n incision circle comprises the following steps: n circles b with the same size and uniformly distributed around the center circumference of the circle a are arranged around the circle a, the circle b is intersected with the circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The intersecting areas of different circles b and the circle a are not overlapped, and after the intersecting part of the circles b and the circle a is removed, the remaining shape is an n-cut circle;
the shape A is obtained based on the radius r of the circumscribing circle of the n-cut circles, the center distance d of the adjacent two n-cut circles and the cutting angle beta of the n-cut circles, wherein the cutting angle beta is a line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r is a set value, r >0;
d and β are calculated values, and if there is a positive even number p such that pθ=2pi, θ is the internal angle of the n-cut circle, θ=pi× (n-2)/n, the calculation formula of d and β is as follows:
β≤2π/n；
d＝2×r×cos(β/2)；
r≤d×sin(π/n)；
otherwise, the calculation formulas of d and beta are as follows:
β≤2π/n；
β≤π/2；
d＝2×r×cos(β/2)。
another design method of the knitting chassis of the rotary three-dimensional knitting machine comprises a chassis, an angle wheel and a driving plate, wherein the overall plan view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is formed;
n 1 is 3, n 2 Is 2; alternatively, n 1 Is 3, n 2 4; alternatively, n 1 Is 3, n 2 6; alternatively, n 1 Is 3, n 2 8; alternatively, n 1 Is 4, n 2 6; alternatively, n 1 Is 4, n 2 8; alternatively, n 1 Is 6, n 2 4;
n 1 or n 2 The incision circle is formed by the following steps: around circle a n is arranged 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
FIG. 1 is n 1 Is 3, n 2 For r, for example, 2 1 、r 2 、d、β 1 、β 2 The meaning represented is illustrated;
r 1 is set as a value r 1 >0；
r 2 、d、β 1 、β 2 To calculate the value, if there are positive even numbers p and q such that pθ n +qθ m ＝2π，θ n Is n 1 Internal angle of incision circle, theta n ＝π×(n 1 -2)/n 1 ，θ m Is n 2 Internal angle of incision circle, theta m ＝π×(n 2 -2)/n 2 Or n 1 =2, or n 2 =2, then r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(0.5×β 1 )/sin(0.5×β 2 )；
d＝r 1 ×cos(0.5×β 1 )+r 2 ×cos(0.5×β 2 )；
otherwise, r is 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 +β 2 ≤π；
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
since the different production requirements may differ from one another with respect to the requirements of the design parameters, the invention enables a larger yarn package to be placed in order to ensure that the position of the yarn carrier during knitting is as large as possible, and all embodiments maximize the cutting angle in the range of values that meet the requirements.
Example 1
A design method of a rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is formed; wherein n is 1 Is 3, n 2 Is 2;
n 1 or n 2 The incision circle is formed by the following steps: around circle a n is arranged 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 IncisionCircle and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r 1 for the set value, r is set in this embodiment 1 ＝r；
r 2 、d、β 1 、β 2 Is a calculated value;
due to n 2 =2, thus r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
the calculation result is as follows: r is (r) 2 ＝0.8653×r，d＝1.03×r，β 1 ＝1.7604rad，β 2 =2.1987 rad, rad is the unit radians;
based on r 1 、r 2 、d、β 1 、β 2 The resulting shape a is shown in fig. 2 and 3.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: the two groups of incision circles move alternately, and each movement angle is the central angle (2 pi/n) 1 、2π/n 2 ) Is an integer multiple of (a).
In order to examine the knitting effect of the knitting chassis of the rotary three-dimensional knitting machine, the invention simulates the motion path of the yarn carrier and the space structure of the knitting member, specifically, two adjacent 3-cut circles and surrounding 2-cut circles are selected, the 3-cut circles are set to rotate clockwise by 120 degrees, the 2-cut circles rotate anticlockwise by 180 degrees, the two groups of cut circles alternately rotate, the knitting chassis of the rotary three-dimensional knitting machine is shown in fig. 4, the motion path of the yarn carrier is shown in fig. 5, and the space structure of the knitting member is shown in fig. 6 and 7.
Example 2
A design method of a rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is formed; wherein n is 1 Is 3, n 2 4;
n 1 or n 2 The incision circle is formed by the following steps: around circle a n is arranged 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r 1 for the set value, r is set in this embodiment 1 ＝r；
r 2 、d、β 1 、β 2 Is a calculated value;
p theta due to the absence of positive even numbers p and q n +qθ m ＝2π，θ n Is n 1 Internal angle of incision circle, theta n ＝π×(n 1 -2)/n 1 ，θ m Is n 2 Internal angle of incision circle, theta m ＝π×(n 2 -2)/n 2 Thus r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 +β 2 ≤π；
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
the calculation result is as follows:
d＝2×r，β 1 ＝2π/3rad，β 2 ＝π/3rad；
based on r 1 、r 2 、d、β 1 、β 2 The resulting shape a is shown in fig. 8 and 9.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: the two groups of incision circles move alternately, and each movement angle is the central angle (2 pi/n) 1 、2π/n 2 ) Is an integer multiple of (a).
Example 3
A design method of a rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is formed; wherein n is 1 Is 3, n 2 6;
n 1 or n 2 The incision circle is formed by the following steps: around the circle aPut n 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r 1 for the set value, r is set in this embodiment 1 ＝r；
r 2 、d、β 1 、β 2 Is a calculated value;
p theta due to the presence of positive even numbers p and q n +qθ m ＝2π，θ n Is n 1 Internal angle of incision circle, theta n ＝π×(n 1 -2)/n 1 ，θ m Is n 2 Internal angle of incision circle, theta m ＝π×(n 2 -2)/n 2 Thus r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
the calculation result is as follows:
d＝2×r，β 1 ＝2π/3rad，β 2 ＝π/3rad；
based on r 1 、r 2 、d、β 1 、β 2 The resulting shape a is shown in fig. 10 and 11.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: the two groups of incision circles move alternately, and each movement angle is the central angle (2 pi/n) 1 、2π/n 2 ) Is an integer multiple of (a).
Example 4
A design method of a rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is formed; wherein n is 1 Is 3, n 2 8;
n 1 or n 2 The incision circle is formed by the following steps: around circle a n is arranged 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r 1 for the set value, r is set in this embodiment 1 ＝r；
r 2 、d、β 1 、β 2 Is a calculated value;
p theta due to the absence of positive even numbers p and q n +qθ m ＝2π，θ n Is n 1 Internal angle of incision circle, theta n ＝π×(n 1 -2)/n 1 ，θ m Is n 2 Internal angle of incision circle, theta m ＝π×(n 2 -2)/n 2 Thus r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 +β 2 ≤π；
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
the calculation result is as follows: r is (r) 2 ＝2.2376×r，d＝2.5838×r，β 1 ＝2.0561rad，β 2 ＝π/4rad；
Based on r 1 、r 2 、d、β 1 、β 2 The resulting shape a is shown in fig. 12 and 13.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: the two groups of incision circles move alternately, and each movement angle is the central angle (2 pi/n) 1 、2π/n 2 ) Is an integer multiple of (a).
Example 5
Design method of rotary three-dimensional braiding machine braiding chassis comprising chassis, angle wheel and dialThe whole of the horn and the dial is shown as a shape A in plan view, the shape A is composed of a plurality of n 1 Circle of incision and n 2 The incision circle is formed; wherein n is 1 Is 4, n 2 6;
n 1 or n 2 The incision circle is formed by the following steps: around circle a n is arranged 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r 1 for the set value, r is set in this embodiment 1 ＝r；
r 2 、d、β 1 、β 2 Is a calculated value;
p theta due to the absence of positive even numbers p and q n +qθ m ＝2π，θ n Is n 1 Internal angle of incision circle, theta n ＝π×(n 1 -2)/n 1 ，θ m Is n 2 Internal angle of incision circle, theta m ＝π×(n 2 -2)/n 2 Thus r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 +β 2 ≤π；
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
the calculation result is as follows: r is (r) 2 ＝1.3477×r，d＝1.9061×r，β 1 ＝1.4789rad，β 2 ＝π/3rad；
Based on r 1 、r 2 、d、β 1 、β 2 The resulting shape a is shown in fig. 14 and 15.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: the two groups of incision circles move alternately, and each movement angle is the central angle (2 pi/n) 1 、2π/n 2 ) Is an integer multiple of (a).
Example 6
A design method of a rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is formed; wherein n is 1 Is 4, n 2 8;
n 1 or n 2 The incision circle is formed by the following steps: around circle a n is arranged 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r 1 for the set value, r is set in this embodiment 1 ＝r；
r 2 、d、β 1 、β 2 Is a calculated value;
p theta due to the absence of positive even numbers p and q n +qθ m ＝2π，θ n Is n 1 Internal angle of incision circle, theta n ＝π×(n 1 -2)/n 1 ，θ m Is n 2 Internal angle of incision circle, theta m ＝π×(n 2 -2)/n 2 Thus r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 +β 2 ≤π；
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
the calculation result is as follows: r is (r) 2 ＝1.6077×r，d＝2.2737×r，β 1 ＝1.3254rad，β 2 ＝π/4rad；
Based on r 1 、r 2 、d、β 1 、β 2 The resulting shape a is shown in fig. 16 and 17.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: the two groups of incision circles move alternately, and each movement angle is the central angle (2 pi/n) 1 、2π/n 2 ) Is an integer multiple of (a).
Example 7
Rotary three-dimensional braiding machine braiding chassisThe design method of the rotary three-dimensional braiding machine comprises a braiding chassis comprising a chassis, an angle wheel and a driving plate, wherein the overall plan view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is formed; wherein n is 1 Is 6, n 2 4;
n 1 or n 2 The incision circle is formed by the following steps: around circle a n is arranged 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Radius r of circumcircle of slit circle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r 1 for the set value, r is set in this embodiment 1 ＝r；
r 2 、d、β 1 、β 2 Is a calculated value;
p theta due to the absence of positive even numbers p and q n +qθ m ＝2π，θ n Is n 1 Internal angle of incision circle, theta n ＝π×(n 1 -2)/n 1 ，θ m Is n 2 Internal angle of incision circle, theta m ＝π×(n 2 -2)/n 2 Thus r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 +β 2 ≤π；
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
the calculation result is as follows: r is (r) 2 ＝0.6748×r，d＝1.3560×r，β 1 ＝0.9948rad，β 2 ＝1.5708rad；
Based on r 1 、r 2 、d、β 1 、β 2 The resulting shape a is shown in fig. 18 and 19.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: the two groups of incision circles move alternately, and each movement angle is the central angle (2 pi/n) 1 、2π/n 2 ) Is an integer multiple of (a).
Example 8
A design method of a rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n-cut circles with the same size; n is 3;
the forming process of the n incision circle comprises the following steps: n circles b with the same size and uniformly distributed around the center circumference of the circle a are arranged around the circle a, the circle b is intersected with the circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The intersecting areas of different circles b and the circle a are not overlapped, and after the intersecting part of the circles b and the circle a is removed, the remaining shape is an n-cut circle;
the shape A is obtained based on the radius r of the circumscribing circle of the n-cut circles, the center distance d of the adjacent two n-cut circles and the cutting angle beta of the n-cut circles, wherein the cutting angle beta is a line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r is a set value;
d and β are calculated values, and since there is a positive even number p such that pθ=2pi, θ is the internal angle of the n-cut circle, θ=pi× (n-2)/n, the calculation formula of d and β is as follows:
β≤2π/n；
d＝2×r×cos(β/2)；
r≤d×sin(π/n)。
the calculation result is as follows: d= 1.1547 ×r, β= 1.9106rad;
the shape a obtained based on r, d, and β is shown in fig. 20 and 21.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: when any one of the slit circles in the chassis rotates, the adjacent slit circle must be kept stationary, so that the slit circles on the whole chassis are divided into two groups, and after one group rotates by an integral multiple angle of 2 pi/3, the other group reversely rotates by an integral multiple angle of 2 pi/3.
In order to examine the knitting effect of the knitting chassis of the rotary three-dimensional knitting machine, the invention simulates the motion path of the yarn carrier and the space structure of the knitting member, specifically, 10 3 cut circles are selected, one group of 3 cut circles is set to rotate clockwise by 2 pi/3, the other group of 3 cut circles rotates anticlockwise by 2 pi/3, the two groups of cut circles alternately rotate, the knitting chassis of the rotary three-dimensional knitting machine is shown in fig. 22, the motion path of the yarn carrier is shown in fig. 23, and the space structure of the knitting member is shown in fig. 24 and 25.
Example 9
A design method of a rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n-cut circles with the same size; n is 2;
the forming process of the n incision circle comprises the following steps: n circles b with the same size and uniformly distributed around the center circumference of the circle a are arranged around the circle a, the circle b is intersected with the circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The intersecting areas of different circles b and the circle a are not overlapped, and after the intersecting part of the circles b and the circle a is removed, the remaining shape is an n-cut circle;
shape A is the radius of an circumcircle based on an n-cut circler, the center distance d of two adjacent n-cut circles and the cutting angle beta of the n-cut circles are obtained, wherein the cutting angle beta is a line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r is a set value;
d and β are calculated values, and since there is no positive even number p such that pθ=2pi, θ is the internal angle of the n-cut circle, θ=pi× (n-2)/n, the calculation formula of d and β is as follows:
β≤2π/n；
β≤π/2；
d＝2×r×cos(β/2)；
the calculation result is as follows:
β＝π/2rad；
the shape a obtained based on r, d, and β is shown in fig. 26 and 27.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: when any one of the slit circles in the chassis rotates, the adjacent slit circles must be kept still, so that the slit circles on the whole chassis are divided into three groups, 5 slit circles in fig. 26, one group of middle slit circles, one group of left and right slit circles and one group of upper and lower slit circles, and the basic mode of movement is that the middle slit circle rotates pi/2, the upper and lower slit circles rotate pi in opposite directions, the middle slit circle rotates pi/2, and the left and right slit circles rotate pi in opposite directions, so that one cycle is completed.
Example 10
A design method of a rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n-cut circles with the same size; n is 8;
the forming process of the n incision circle comprises the following steps: n circles b with the same size and uniformly distributed around the center circumference of the circle a are arranged around the circle a, the circle b is intersected with the circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where the different circles b and the circles a intersect are not overlapped, and after the parts where the circles b intersect are removed from the circles a, the circles b remainThe rest shape is n incision circle;
the shape A is obtained based on the radius r of the circumscribing circle of the n-cut circles, the center distance d of the adjacent two n-cut circles and the cutting angle beta of the n-cut circles, wherein the cutting angle beta is a line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r is a set value;
d and β are calculated values, and since there is no positive even number p such that pθ=2pi, θ is the internal angle of the n-cut circle, θ=pi× (n-2)/n, the calculation formula of d and β is as follows:
β≤2π/n；
β≤π/2；
d＝2×r×cos(β/2)；
the calculation result is as follows: d= 1.8478 ×r, β=pi/4 rad;
the shape a obtained based on r, d, and β is shown in fig. 28 and 29.
The motion mode of the most basic unit of the knitting chassis of the rotary three-dimensional knitting machine is as follows: when any one of the slit circles in the chassis rotates, the adjacent slit circle must be kept stationary, so that the slit circles on the whole chassis are divided into two groups, and after one group rotates by an integral multiple of pi/4, the other group reversely rotates by an integral multiple of pi/4.
Claims (2)
1. The design method of the rotary three-dimensional braiding machine braiding chassis is characterized in that the rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n-cut circles with the same size;
n is 2, 3 or 8;
the forming process of the n incision circle comprises the following steps: n circles b with the same size and uniformly distributed around the center circumference of the circle a are arranged around the circle a, the circle b is intersected with the circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The intersecting areas of different circles b and the circle a are not overlapped, and after the intersecting part of the circles b and the circle a is removed, the remaining shape is an n-cut circle;
shape A is based on the radius r of the circumcircle of the n-cut circle,The circle center distance d of two adjacent n-cut circles and the cutting angle beta of the n-cut circles are obtained, and the cutting angle beta is a line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r is a set value, and r is more than 0;
d and β are calculated values, and if there is a positive even number p such that pθ=2pi, θ is the internal angle of the n-cut circle, θ=pi× (n-2)/n, the calculation formula of d and β is as follows:
β≤2π/n；
d＝2×r×cos(β/2)；
r≤d×sin(π/n)；
otherwise, the calculation formulas of d and beta are as follows:
β≤2π/n；
β≤π/2；
d＝2×r×cos(β/2)。
2. a design method of a rotary three-dimensional braiding machine braiding chassis is characterized in that the rotary three-dimensional braiding machine braiding chassis comprises a chassis, an angle wheel and a driving plate, wherein an integral top view formed by the angle wheel and the driving plate is marked as a shape A, and the shape A is formed by a plurality of n 1 Circle of incision and n 2 The incision circle is formed;
n 1 is 3, n 2 Is 2; alternatively, n 1 Is 3, n 2 4; alternatively, n 1 Is 3, n 2 6; alternatively, n 1 Is 3, n 2 8; alternatively, n 1 Is 4, n 2 6; alternatively, n 1 Is 4, n 2 8; alternatively, n 1 Is 6, n 2 4;
n 1 or n 2 The incision circle is formed by the following steps: around circle a n is arranged 1 Or n 2 Circle b with the same size and uniformly distributed around the center circumference of circle a, and the circle b is intersected with circle a, and the intersection point is denoted as a 1 And a 2 The center of the circle a is denoted as a 0 The areas where different circles b and a intersect are not overlapped, and after the part of the circle a intersecting with the circle b is removed, the rest shape is n 1 Or n 2 A circular incision;
shape A is based on n 1 Round of incisionsRadius r of circumcircle 1 、n 2 Radius r of circumcircle of slit circle 2 Two adjacent n 1 Circle of incision and n 2 Center distance d, n of incision circle 1 Cutting angle beta of slit circle 1 And n 2 Cutting angle beta of slit circle 2 Obtained, cutting angle beta 1 Or beta 2 Is line segment a 1 a 0 And line segment a 2 a 0 Is included in the plane of the first part;
r 1 is set as a value r 1 ＞0；
r 2 、d、β 1 、β 2 To calculate the value, if there are positive even numbers p and q such that pθ n +qθ m ＝2π，θ n Is n 1 Internal angle of incision circle, theta n ＝π×(n 1 -2)/n 1 ，θ m Is n 2 Internal angle of incision circle, theta m ＝π×(n 2 -2)/n 2 Or n 2 =2, then r 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
otherwise, r is 2 、d、β 1 、β 2 The calculation formula of (2) is as follows:
β 1 +β 2 ≤π；
β 1 ≤2π/n 1 ；
β 2 ≤2π/n 2 ；
r 2 ＝r 1 ×sin(β 1 /2)/sin(β 2 /2)；
d＝r 1 ×cos(β 1 /2)+r 2 ×cos(β 2 /2)；
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| JP4073282B2 (en) * | 2002-09-25 | 2008-04-09 | 健二 福多 | Method and apparatus for driving braided tissue cord-making unit and cord-making device for the tissue |
| CN101736518B (en) * | 2008-11-10 | 2011-07-20 | 阚玉华 | Rotary braiding machine |
| US9920462B2 (en) * | 2015-08-07 | 2018-03-20 | Nike, Inc. | Braiding machine with multiple rings of spools |
| CN106884262B (en) * | 2017-04-24 | 2018-10-23 | 东华大学 | A kind of control of two-dimensional braided machine design method weaving odd-shaped cross section preformed member |
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