Parabolic reflector networking method for deployable antennas with isosceles trapezoidal bases

Abstract

The present invention discloses a parabolic reflecting surface networking method for an isosceles trapezoid-based deployable antenna, comprising: establishing a shaping surface of a deployable antenna mechanism on a plane in plan view, dividing the shaping surface into isosceles trapezoids on the plane; establishing a parabolic reflecting surface corresponding to a specified size and curvature value at the center of the divided shaping surface; projecting the shaping surface of the isosceles trapezoid on the plane onto the parabolic reflecting surface to form a shaping surface of a parabolic isosceles trapezoid, with the intersections of the line segments projected onto the parabolic reflecting surface being characteristic nodes of the base of the isosceles trapezoid on the parabolic reflecting surface; establishing vertices of the isosceles trapezoid above the base of the isosceles trapezoid on the parabolic reflecting surface, and connecting the vertices to the characteristic nodes of the base of the isosceles trapezoid on the parabolic reflecting surface to form isosceles trapezoid square pyramid basic units; and constructing a square pyramid combination unit according to a networking rule in which the square pyramid basic units are arranged circumferentially. The combined deployable antenna mechanism of the present invention has the advantages of high folding efficiency, high expandability, and high support rigidity.

Description

Technical Field

[0001] The present invention relates to a networking method for an antenna mechanism, and particularly to a networking method for a parabolic reflector surface of a deployable antenna with an isosceles trapezoid base.

Background Art

[0002] Currently, a deployable antenna mechanism having a frame-type parabolic surface is one of the important application directions of deployable mechanisms, and has been successfully applied in specialized fields such as satellite communication, remote sensing measurement, space exploration, and military reconnaissance. A deployable antenna mechanism having a frame-type parabolic surface is a deployable antenna with the best comprehensive performance in terms of forming surface accuracy and folding efficiency among various types of deployable antennas. Researchers at home and abroad in China have already carried out related research work on deployable antenna mechanisms.

[0003] For example, Chinese Patent (CN109860972B) can be cited. The deployable antenna mechanism having a parabolic surface in this patent is composed of tetrahedral deployable units, and includes four same flat chucks, three web materials of the same length, two same second synchronous rods, and one fourth synchronous rod. This prior art relates to a networking method for a deployable antenna mechanism having a parabolic surface. This patent forms modules by networking in the arrangement form of regular triangular tetrahedral deployable units from the perspective of the networking method, and further expands a plurality of tetrahedral deployable unit modules into a tetrahedral combination unit to form a deployable antenna mechanism having a modularized parabolic surface.

[0004] Furthermore, a Chinese patent (CN202211222501.5) is cited, in which a parabolic deployable antenna mechanism is formed by combining rhombic, rectangular, and self-adaptive square pyramidal units. Each asymmetrical square pyramidal unit includes one central flat chuck, four external flat chucks, four central connecting rods, and four sets of external connecting rods. The asymmetrical square pyramidal units are integrally connected by the external flat chucks and external connecting rods they share, and further connected by internal connecting rods and boundary connecting rods, thereby forming a deployable antenna mechanism with a single degree of freedom, a parabolic reflecting surface structure, and a parabolic reflecting surface is formed by utilizing the height difference formed by the asymmetrical square pyramidal units. From the perspective of a networking method, this patent forms a parabolic deployable antenna mechanism by networking in an arrangement of square pyramidal units with regular square bases.

[0005] In existing networking methods for parabolic deployable antenna mechanisms, basic units are networked together that are mostly regular and have equal bases, and the interior angles between adjacent bases of each basic unit are equal. Compared to basic units with a constant support angle between adjacent bases, the support strength is lower, and the requirements for structural stability and support capacity of the parabolic deployable antenna mechanism cannot be met.

[0006] Therefore, the above problem must be resolved as soon as possible. [Overview of the project] [Problems that the invention aims to solve]

[0007] The object of the present invention is to provide a parabolic reflector networking method for a deployable antenna with an isosceles trapezoidal base, the deployable antenna mechanism assembled by this method having the advantages of high folding efficiency, high expandability, and high support rigidity. [Means for solving the problem]

[0008] To achieve the above objectives, the present invention discloses a parabolic reflector networking method for a deployable antenna with an isosceles trapezoidal base. The parabolic reflector networking method for a deployable antenna with an isosceles trapezoidal base according to the present invention is as follows: Step (1) establishes a molding surface for an antenna mechanism that can be unfolded on a plane in plan view, and connects feature nodes on the plane with line segments, thereby dividing the molding surface having an isosceles trapezoid on the plane. Step (2) involves setting the size and curvature values ​​of the parabolic reflector to be designed at the center of the divided isosceles trapezoidal shape, and establishing a parabolic reflector corresponding to the specified size and curvature values. The forming surface of an isosceles trapezoid on a plane is projected onto a parabolic reflecting surface to construct the forming surface of a parabolic isosceles trapezoid, and the intersection point where the line segments projected onto the parabolic reflecting surface intersect is a feature node of the base of the isosceles trapezoid on the parabolic reflecting surface, which is step (3), Step (4) establishes an isosceles trapezoidal vertex above the base of the isosceles trapezoid on the parabolic surface, and connects the vertex to the feature node of the base of the isosceles trapezoid on the parabolic surface to form a basic isosceles trapezoidal square pyramidal unit, The process includes step (5) of constructing an isosceles trapezoidal square pyramidal base combination unit according to a networking law in which isosceles trapezoidal square pyramidal base basic units are arranged circumferentially.

[0009] In step (1), first, a polygon of equal length is established from the center of the plane, then a polygon larger in length than the previous polygon is established from the center of the plane again, and the division continues outward until it reaches the size required for the deployable antenna mechanism, and finally adjacent endpoints in the same direction are connected to each other, thereby completing the establishment of a molded surface on the plane. If the polygon established in the center has N sides, then N identical isosceles trapezoidal deployable units are divided on the plane with each rotation, and the angle formed by adjacent edges of the base of the isosceles trapezoid is the interior angle, and the angle of the interior angle changes as the polygon established in the center changes.

[0010] Preferably, in step (2), the center of the molded surface having an isosceles trapezoid and the center of the parabolic reflecting surface are aligned.

[0011] Furthermore, in step (3), the molded surface established on a plane is projected onto a paraboloid of the required curvature, and this paraboloid is a reflective surface of the required curvature for the deployable antenna mechanism, the feature nodes where line segments on the paraboloid intersect are the center points of the bottom flat chuck of the isosceles trapezoidal deployable unit, and the line segments connecting adjacent feature nodes are rod members.

[0012] Furthermore, in step (4), one vertex is established above the isosceles trapezoidal expandable unit divided on the parabolic surface, and the feature node connecting the vertex to the isosceles trapezoid on the parabolic surface is a side edge, and since there are four feature nodes on the base of the isosceles trapezoid on the parabolic surface, there are a total of four edges: a left long edge, a right long edge, a left short edge, and a right short edge, and the edges connecting the four adjacent feature nodes of the isosceles trapezoid on the parabolic surface to each other are the base long edge, base short edge, base left edge, and base right edge, and all the edges are combined together to form one isosceles trapezoidal square pyramidal basic unit on the paraboloid.

[0013] Preferably, in step (4), the isosceles trapezoidal pyramidal base basic unit is formed by connecting one vertex and four base points to each other, such that two interior angles on the same base of the isosceles trapezoid are equal, two legs are equal, and two bases are parallel.

[0014] Furthermore, a top flat chuck of the isosceles trapezoidal square pyramid basic unit is installed at the vertex, and a first bottom flat chuck, a second bottom flat chuck, a third bottom flat chuck, and a fourth bottom flat chuck are installed at the base points, respectively. A first support rod, a second support rod, a third support rod, and a fourth support rod are installed between the vertex and the base points, respectively. The first support rod is equal to the second support rod, the third support rod is equal to the fourth support rod, and a long-side folding rod, a short-side folding rod, a first side folding rod, and a second side folding rod are installed between adjacent base points, respectively.

[0015] Furthermore, in step (5), N isosceles trapezoidal pyramidal base basic units are arranged circumferentially on the parabolic reflection surface of one isosceles trapezoidal pyramidal base basic unit, according to the networking law which arranges them circumferentially at the center of the polygon at 360° / N, thereby forming an isosceles trapezoidal pyramidal base combination unit.

[0016] Preferably, in step (5), N isosceles trapezoidal square pyramidal base basic units are arranged circumferentially on the parabolic reflection surface of one isosceles trapezoidal square pyramidal base basic unit. After circumferential arrangement, the side edges of the isosceles trapezoidal square pyramidal base basic units overlap, so that adjacent isosceles trapezoidal square pyramidal base basic units share a side edge, and a support / folding auxiliary rod is established between the top flat chucks of adjacent isosceles trapezoidal square pyramidal base basic units to form an isosceles trapezoidal square pyramidal base combination unit.

[0017] Furthermore, multiple isosceles trapezoidal square pyramidal base combination units are combined to form a parabolic reflecting surface mechanism for a deployable antenna with an isosceles trapezoidal base. [Effects of the Invention]

[0018] Compared to the prior art, the present invention has the following remarkable advantages.

[0019] (1) The deployable antenna mechanism having a parabolic reflecting surface according to the present invention uses an isosceles trapezoidal base unit, wherein the isosceles trapezoid is a special trapezoid in which one pair of edges are parallel but not equal, another pair of edges are not parallel but equal, and the base angle formed by adjacent edges is a constant angle, thereby giving the square pyramidal base unit higher support stability and reliability. (2) The antenna mechanism with a parabolic reflecting surface and a deployable isosceles trapezoidal base constructed according to the present invention comprises multiple identical isosceles trapezoidal basic units configured to form a deployable antenna mechanism with larger specifications, using a predetermined deployable unit at the center, ensuring that the mechanism can be folded with a single degree of freedom, and reducing the mass of the mechanism. As (3), the deployable antenna mechanism having a parabolic reflector surface formed according to the present invention radiates circumferentially in an array from the center, has high structural symmetry, good deployment performance, high overall rigidity and strength, and can be easily further expanded and networked outward.

Brief Description of the Drawings

[0020] [Figure 1] FIG. 1 is a flowchart of the method according to the present invention. [Figure 2] FIG. 2 is a plan view of dividing the forming surfaces of triangles, quadrilaterals, pentagons, hexagons and heptagons according to the present invention. [Figure 3] FIG. 3 is a three-dimensional view showing the characteristic nodes of projecting triangles, quadrilaterals, pentagons, hexagons and heptagons according to the present invention onto isosceles trapezoids on the parabolic surface. [Figure 4] FIG. 4 is a three-dimensional view of dividing the forming surfaces of the isosceles trapezoidal pyramid basic units of triangles, quadrilaterals, pentagons, hexagons and heptagons on the parabolic surface according to the present invention. [Figure 5] FIG. 5 is a three-dimensional view of dividing the forming surfaces of the isosceles trapezoidal pyramid combined units of triangles, quadrilaterals, pentagons, hexagons and heptagons on the parabolic surface according to the present invention. [Figure 6] FIG. 6 is an axonometric view of completely deploying the isosceles trapezoidal pyramid base basic unit of a quadrilateral according to the present invention. [Figure 7] FIG. 7 is a plan view of completely deploying the isosceles trapezoidal pyramid base basic unit of a quadrilateral according to the present invention. [Figure 8] FIG. 8 is an axonometric view of completely folding the isosceles trapezoidal pyramid base basic unit of a quadrilateral according to the present invention. [Figure 9] FIG. 9 is a plan view of completely folding the isosceles trapezoidal pyramid base basic unit of a quadrilateral according to the present invention. [Figure 10] FIG. 10 is an axonometric view of completely deploying the isosceles trapezoidal pyramid base combined unit of a quadrilateral according to the present invention. [Figure 11] FIG. 11 is a front view of completely deploying the isosceles trapezoidal pyramid base combined unit of a quadrilateral according to the present invention. [Figure 12] Figure 12 is a fully unfolded plan view of the quadrilateral isosceles trapezoidal pyramidal base combination unit according to the present invention. [Figure 13] Figure 13 is an axonometric view of the quadrilateral isosceles trapezoidal pyramidal base combination unit according to the present invention in a completely folded state. [Figure 14] Figure 14 is a front view of the quadrilateral isosceles trapezoidal pyramidal base combination unit according to the present invention when fully folded. [Figure 15] Figure 15 is a plan view of the quadrilateral isosceles trapezoidal pyramidal base combination unit according to the present invention when fully folded. [Modes for carrying out the invention]

[0021] The technical aspects of the present invention will be further explained below with reference to the drawings.

[0022] As shown in Figure 1, a parabolic reflector networking method for a deployable antenna with an isosceles trapezoidal base, A molding surface for an antenna mechanism that can be unfolded on a planar plane is established, and feature nodes on the plane are connected by line segments, thereby dividing the molding surface having an isosceles trapezoid on the plane. First, a polygon of equal length is established from the center of the plane, then a polygon larger in length than the previous polygon is established from the center of the plane again, and the division continues outward until it reaches the size required for the deployable antenna mechanism, and finally adjacent endpoints in the same direction are connected to each other, thereby completing the establishment of a shaped surface on the plane. If the polygon established in the center has N sides, then N identical isosceles trapezoidal deployable units are divided on the plane with each rotation, and the angle formed by adjacent edges of the base of the isosceles trapezoid is an interior angle, and the angle of the interior angle changes as the polygon established in the center changes (step (1)), Step (2) involves setting the size and curvature values ​​of the parabolic reflecting surface to be designed at the center of the molded surface into which the isosceles trapezoid is divided, establishing a parabolic reflecting surface corresponding to the specified size and curvature values, and aligning the center of the molded surface having the isosceles trapezoid with the center of the parabolic reflecting surface. Step (3) involves projecting an isosceles trapezoidal molding surface on a plane onto a parabolic reflecting surface to form a parabolic isosceles trapezoidal molding surface, the intersection points of the line segments projected onto the parabolic reflecting surface being feature nodes on the bottom surface of the isosceles trapezoid on the parabolic reflecting surface, projecting the molding surface established on the plane onto a paraboloid of the required curvature, the paraboloid being a reflecting surface of the required curvature for a deployable antenna mechanism, the feature nodes where line segments on the paraboloid intersect being the center points of the bottom flat chuck of the isosceles trapezoidal deployable unit, and the line segments connecting adjacent feature nodes being rod members. An isosceles trapezoidal vertex is established above the base of the isosceles trapezoid on the parabolic surface, and the vertex and the feature node of the base of the isosceles trapezoid on the parabolic surface are connected to each other to form a basic isosceles trapezoidal square pyramidal unit. A single vertex is established above the isosceles trapezoidal expandable unit divided on the parabolic surface, and the feature node connecting the vertex to the isosceles trapezoid on the parabolic surface is a side edge. Since there are four feature nodes on the base of the isosceles trapezoid on the parabolic surface, there are a total of four edges: a left long edge, a right long edge, a left short edge, and a right short edge. The edges connecting the four adjacent feature nodes of the isosceles trapezoid on the parabolic surface are the base long edge, base short edge, base left edge, and base right edge. All edges are combined to form one isosceles trapezoidal square pyramidal base unit on the paraboloid, and the isosceles trapezoidal square pyramidal base unit connects one vertex and four base points to each other. The isosceles trapezoid is formed such that two interior angles on the same base are equal, two legs are equal, and two bases are parallel, and a top flat chuck of the isosceles trapezoidal square pyramid basic unit is installed at the vertex, and a first bottom flat chuck, a second bottom flat chuck, a third bottom flat chuck and a fourth bottom flat chuck are installed at the bases respectively, and a first support rod, a second support rod, a third support rod and a fourth support rod are installed between the vertex and the bases respectively, the first support rod is equal to the second support rod, the third support rod is equal to the fourth support rod, and a long side folding rod, a short side folding rod, a first side folding rod and a second side folding rod are installed between adjacent bases respectively, step (4), The isosceles trapezoidal square pyramid base basic units are arranged in a circular pattern according to the networking rules, and the isosceles trapezoidal square pyramid base combination units are constructed accordingly. Step (5) is to arrange N isosceles trapezoidal square pyramidal base basic units in a circular pattern on the parabolic reflection surface of one isosceles trapezoidal square pyramidal base basic unit in accordance with the networking law of 360° / N around the center of the polygon, thereby forming an isosceles trapezoidal square pyramidal base combination unit, and after arranging the N isosceles trapezoidal square pyramidal base basic units in a circular pattern on the parabolic reflection surface of one isosceles trapezoidal square pyramidal base basic unit, the side edges of the isosceles trapezoidal square pyramidal base basic units overlap, so adjacent isosceles trapezoidal square pyramidal base basic units share a side edge, and after establishing a support / folding auxiliary rod between the top flat chucks of adjacent isosceles trapezoidal square pyramidal base basic units, thereby forming an isosceles trapezoidal square pyramidal base combination unit. The method includes (6) combining multiple isosceles trapezoidal square pyramidal base combination units to form a parabolic reflecting surface mechanism for an isosceles trapezoidal base deployable antenna.

[0023] In this invention, we take as an example the case where the molding surface on a plane is a triangle, quadrilateral, pentagon, hexagon, and heptagon. Figure 2 is a plan view showing the division of the molding surface into a triangle, quadrilateral, pentagon, hexagon, and heptagon. First, one polygon of equal length is established from the center of the plane, then another polygon larger in length than the previous polygon is established from the center of the plane, and the division continues outward until it reaches the size required for the deployable antenna mechanism, and finally, adjacent endpoints in the same direction are connected to each other to complete the establishment of the molding surface on the plane. In this case, if the polygon established in the center has N sides, then N identical isosceles trapezoidal deployable units are divided on the plane in one rotation, and the angle formed by adjacent edges of the base of the isosceles trapezoid is the interior angle, and the angle of the interior angle changes as the polygon established in the center changes.

[0024] Figure 3 is a three-dimensional diagram showing feature nodes projecting triangles, quadrilaterals, pentagons, hexagons, and heptagons onto an isosceles trapezoid on a parabolic surface. A molded surface established on a plane is projected onto a parabolic surface of the required curvature, and this parabolic surface is a reflective surface of the required curvature for the deployable antenna mechanism. Feature nodes where line segments on the parabolic reflective surface intersect are the center points of the bottom flat chuck of the isosceles trapezoidal deployable unit, and line segments connecting adjacent feature nodes are rod members. Considering the lightweight nature of the deployable antenna mechanism in combination with its folding and unfolding configuration, the deployable unit is not installed in the central polygon.

[0025] Figure 4 is a three-dimensional view showing the division of the forming surface of an isosceles trapezoidal square pyramidal basic unit on a parabolic surface of a triangle, quadrilateral, pentagon, hexagon, and heptagon. One vertex is established above the isosceles trapezoidal expandable unit divided on the parabolic surface, and the feature node connecting the vertex to the isosceles trapezoid on the parabolic surface is the side edge. Since there are four feature nodes on the base of the isosceles trapezoid on the parabolic surface, there are a total of four edges: a left long edge, a right long edge, a left short edge, and a right short edge. The edges connecting the four adjacent feature nodes of the isosceles trapezoid on the parabolic surface to each other are the base long edge, base short edge, base left edge, and base right edge. All edges are combined to form one isosceles trapezoidal square pyramidal basic unit on the parabolic surface.

[0026] Figure 5 is a three-dimensional view dividing the molding surface of an isosceles trapezoidal square pyramidal combination unit on a paraboloid of a triangle, quadrilateral, pentagon, hexagon, and heptagon. An isosceles trapezoidal square pyramidal base combination unit is constructed by arranging N isosceles trapezoidal square pyramidal base units in a circular pattern at 360° / N around the center of one isosceles trapezoidal square pyramidal base basic unit.

[0027] Figures 6 and 7 are axonometric and plan views of a fully unfolded isosceles trapezoidal pyramidal base basic unit. The isosceles trapezoidal pyramidal base basic unit consists of one vertex and four bases connected to each other, with two interior angles equal on the same base of the isosceles trapezoid, two equal legs, and two parallel bases. A top flat chuck 12 of the isosceles trapezoidal square pyramid basic unit is placed at the vertex, and a first bottom flat chuck 23, a second bottom flat chuck 15, a third bottom flat chuck 18, and a fourth bottom flat chuck 21 are placed at the bases, respectively. A first support rod 11, a second support rod 13, a third support rod 17, and a fourth support rod 20 are placed between the vertex and the bases, respectively. Because the isosceles trapezoid has a symmetrical relationship, the first support rod 11 is equal to the second support rod 13, the third support rod 17 is equal to the fourth support rod 20, and a long-side folding rod 14, a short-side folding rod 19, a first side folding rod 16, and a second side folding rod 22 are placed between adjacent bases, respectively.

[0028] Figures 8 and 9 show the axonometric and plan views of the square-shaped isosceles trapezoidal pyramidal base basic unit in a completely folded state. A simulation analysis model of the isosceles trapezoidal pyramidal base basic unit was established, and kinematic analysis was performed on the isosceles trapezoidal pyramidal base basic unit in a completely unfolded state using Adams. Based on theoretical analysis of its degrees of freedom, it was found that the number of degrees of freedom of the isosceles trapezoidal pyramidal base unit is 1, and the number of degrees of freedom is equal to the number of actuators in the mechanism. By installing one fixed pair and 24 rotational pair and adding one actuator, the isosceles trapezoidal pyramidal base unit can be folded towards the center from a completely unfolded state to a completely folded state.

[0029] Figures 10, 11, and 12 are axonometric, front, and plan views of a fully unfolded isosceles trapezoidal pyramidal base combination unit. Following the networking law of circumferential arrangement at a 90° angle from the center of the polygon, four isosceles trapezoidal pyramidal base units are arranged circumferentially on the parabolic reflection surface of one isosceles trapezoidal pyramidal base unit. After circumferential arrangement, the side edges of the isosceles trapezoidal pyramidal base units overlap, so adjacent isosceles trapezoidal pyramidal base units share a side edge, and a support / folding auxiliary rod 24 is established between the top flat chucks of adjacent isosceles trapezoidal pyramidal base units to form the isosceles trapezoidal pyramidal base combination unit.

[0030] Figures 13, 14, and 15 show the axonometric, front, and top views of the fully folded isosceles trapezoidal pyramidal base combination unit. The simulation analysis model of the isosceles trapezoidal pyramidal base basic unit involves networking in a circumferential array at 90° angles to the center of the polygon, removing the overlapping side edges of adjacent isosceles trapezoidal pyramidal base units, and adding support and folding auxiliary rods between the top flat chucks of adjacent isosceles trapezoidal pyramidal base units. By installing one fixed pair and 100 rotational pairs, and adding one actuator, the isosceles trapezoidal pyramidal combination unit can be folded from a fully unfolded state towards the center to a fully folded state.

[0031] The parabolic / frame-type deployable antenna mechanism formed by the isosceles trapezoidal base square pyramidal combination unit according to the present invention can be folded by adding only one actuator, and has advantages such as high structural symmetry, a small number of degrees of freedom, easy control of folding and unfolding, high expandability, and high support rigidity, and by changing the length of each edge of the square pyramid and the length of each connecting rod, a deployable antenna mechanism with a parabolic reflecting surface structure of any size and curvature can be formed.

Claims

1. A parabolic reflector networking method for deployable antennas with isosceles trapezoidal bases, A first step (1) is to establish a molding surface for an antenna mechanism that can be deployed on a plane, and to divide the molding surface into an isosceles trapezoid by connecting first feature nodes on the plane with line segments, The second step (2) involves setting the size and curvature values ​​of the parabolic reflector to be designed at the center of the molded surface divided into isosceles trapezoids, and establishing a parabolic reflector corresponding to the specified size and curvature values. A molding surface divided into isosceles trapezoids on a plane is projected onto a parabolic reflecting surface to form a parabolic isosceles trapezoidal molding surface, and the intersection point of the line segments when the molding surface divided into isosceles trapezoids is projected onto the parabolic reflecting surface is the third step (3), which is the second characteristic node of the base of the isosceles trapezoid on the parabolic reflecting surface. A fourth step (4) is to establish one vertex of an isosceles trapezoid above the base of the isosceles trapezoid on the parabolic surface, and to connect the vertex to the second feature node of the base of the isosceles trapezoid on the parabolic surface to form one isosceles trapezoidal square pyramidal basic unit, A parabolic reflector networking method for an isosceles trapezoidal base deployable antenna, comprising: a fifth step (5) of constructing an isosceles trapezoidal pyramidal combination unit according to a networking law in which isosceles trapezoidal pyramidal basic units are arranged circumferentially.

2. In the first step (1) above, first, one polygon with sides of equal length is established, then another polygon with sides of equal length, where the length of each side is greater than that of the first polygon is established, and the division continues outward until the size is specified for the deployable antenna mechanism, and finally adjacent endpoints in the same direction are connected to each other, thereby completing the establishment of a shaped surface on a plane, and if the polygon established in the center has N sides, then N identical isosceles trapezoids are divided on the plane with each rotation, and the angle formed by adjacent edges of the base of the isosceles trapezoids is an interior angle, and the angle of the interior angle changes as the polygon established in the center changes, characterized in that, in the first step (1) above, first, one polygon with sides of equal length is established, then another polygon with sides of equal length, where the length of each side is greater than that of the first polygon, and the division continues outward until the size is specified for the deployable antenna mechanism, and finally adjacent endpoints in the same direction are connected to each other, thereby completing the establishment of a shaped surface on a plane, and if the polygon established in the center has N sides, then N identical isosceles trapezoids are divided on the plane with each rotation, and the angle of the adjacent edges of the base of the isosceles trapezoids is an interior angle, and the angle of the interior angle changes as the polygon established in the center changes, characterized in that, in the parabolic reflector networking method for an isosceles trapezoid base deployable antenna according to claim 1.

3. Parabolic reflector networking method for an isosceles trapezoid base deployable antenna according to claim 1, characterized in that in the second step (2) above, the center of the molded surface having an isosceles trapezoid and the center of the parabolic reflector are aligned.

4. The parabolic reflecting surface networking method for a deployable antenna on an isosceles trapezoidal base according to claim 1, wherein in the third step (3) above, a molded surface established on a plane is projected onto a paraboloid of the required curvature, the paraboloid is the parabolic reflecting surface of the required curvature for the deployable antenna mechanism, the second feature node where line segments on the paraboloid intersect is the center point of the bottom flat chuck of the isosceles trapezoid, and the line segment connecting adjacent second feature nodes is a rod member.

5. In the fourth step (4) described above, one vertex is established above the isosceles trapezoid divided on the parabolic surface, and the second feature node connecting the vertex to the isosceles trapezoid on the parabolic surface is a side edge, and since there are four second feature nodes on the bottom surface of the isosceles trapezoid on the parabolic surface, there are a total of four edges, namely a left long edge, a right long edge, a left short edge and a right short edge, and the edges connecting the four adjacent second feature nodes of the isosceles trapezoid on the parabolic surface to each other are the bottom long edge, the bottom short edge, the bottom left edge and the bottom right edge, and all the edges are combined together to form one isosceles trapezoidal square pyramidal basic unit on the parabolic surface, characterized in that, in the parabolic surface networking method for an isosceles trapezoid base deployable antenna according to claim 1.

6. Parabolic reflector networking method for an isosceles trapezoidal base deployable antenna according to claim 5, wherein in the fourth step (4) above, the isosceles trapezoidal pyramidal base unit is made up of one vertex and four bases connected to one another, and the two interior angles on the same base of the isosceles trapezoid are equal, the two legs are equal, and the two bases are parallel.

7. A parabolic reflector networking method for a deployable antenna on an isosceles trapezoidal base according to claim 6, characterized in that a top flat chuck of an isosceles trapezoidal pyramidal base unit is installed at the vertex, a first bottom flat chuck, a second bottom flat chuck, a third bottom flat chuck, and a fourth bottom flat chuck are installed at the bases, respectively, a first support rod, a second support rod, a third support rod, and a fourth support rod are installed between the vertex and the bases, respectively, the first support rod is equal to the second support rod, the third support rod is equal to the fourth support rod, and a long-side folding rod, a short-side folding rod, a first side folding rod, and a second side folding rod are installed between adjacent bases, respectively.

8. The parabolic reflecting surface networking method for an isosceles trapezoidal base deployable antenna according to claim 1, characterized in that, in the fifth step (5) above, N isosceles trapezoidal pyramidal basic units are arranged in a circular pattern on the parabolic reflecting surface of one isosceles trapezoidal pyramidal basic unit in accordance with the networking law that the isosceles trapezoidal pyramidal basic units are arranged in a circular pattern, thereby forming an isosceles trapezoidal pyramidal combination unit.

9. The parabolic reflecting surface networking method for an isosceles trapezoidal base deployable antenna according to claim 8, characterized in that in the fifth step (5) above, N isosceles trapezoidal base units are arranged circumferentially on the parabolic reflecting surface of one isosceles trapezoidal base unit, and after the circumferential arrangement, the side edges of the isosceles trapezoidal base units overlap so that adjacent isosceles trapezoidal base units share a side edge, and a support / folding auxiliary rod is established between the top flat chucks of adjacent isosceles trapezoidal base units before forming an isosceles trapezoidal base combination unit.

10. The parabolic reflecting surface networking method for a deployable antenna with an isosceles trapezoidal base according to claim 1, characterized in that multiple isosceles trapezoidal square pyramidal combination units are combined to form a parabolic reflecting surface mechanism for a deployable antenna with an isosceles trapezoidal base.

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