Parabolic reflector networking method for isosceles trapezoid-based deployable antennas

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 method for networking antenna structures, and more particularly to a parabolic reflecting surface networking method for isosceles trapezoid-based deployable antennas. [Background technology]

[0002] Currently, the deployable antenna mechanism with 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 communications, remote sensing measurement, space exploration, and military reconnaissance. Among various types of deployable antennas, the deployable antenna mechanism with a frame-type parabolic surface is the deployable antenna with the best overall performance in two aspects: molding surface accuracy and folding efficiency. Researchers at home and abroad have already conducted related research on deployable antenna mechanisms.

[0003] For example, Chinese patent (CN109860972B) discloses a parabolic deployable antenna mechanism that is composed of tetrahedron deployable units, including four identical flat chucks, three web members of the same length, two identical second synchronizing rods, and one fourth synchronizing rod. This prior art relates to a networking method for a parabolic deployable antenna mechanism, and from the perspective of the networking method, this patent discloses that regular triangular tetrahedron deployable units are networked in an array form to form a module, and multiple tetrahedron deployable unit modules are further expanded into a tetrahedron combination unit to form a modular parabolic deployable antenna mechanism.

[0004] Further, Chinese patent (CN202211222501.5) is cited, which discloses a parabolic deployable antenna mechanism comprising a combination of diamond-shaped, rectangular, and self-adaptive square pyramidal units, each of which includes one central flat chuck, four outer flat chucks, four central connecting rods, and four sets of outer connecting rods, and the asymmetric square pyramidal units are connected together by their shared outer flat chucks and outer connecting rods, and further connected by inner connecting rods and boundary connecting rods, thereby forming a deployable antenna mechanism with a parabolic reflecting surface structure with a single degree of freedom, and utilizing the height difference formed by the asymmetric square pyramidal units to form the parabolic reflecting surface. In terms of networking method, this patent discloses that the parabolic deployable antenna mechanism is formed by networking square pyramidal units in an array form with a regular square base.

[0005] In the existing networking method of a parabolic deployable antenna mechanism, basic units with almost regular and equal bases are networked together, and the interior angles between adjacent bases of each basic unit are equal. Compared with basic units with a fixed 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 solved as soon as possible. Summary of the Invention [Problem to be solved by the invention]

[0007] The objective of the present invention is to provide an isosceles trapezoid-based deployable antenna parabolic reflecting surface networking method, and the deployable antenna mechanism combined in this method has the advantages of high folding efficiency, high extendibility, and high supporting stiffness. [Means for solving the problem]

[0008] To achieve the above objectives, the present invention discloses a parabolic reflector networking method for isosceles trapezoid-based deployable antennas, The parabolic reflector networking method of the isosceles trapezoid-based deployable antenna of the present invention includes: A step (1) of establishing a shaping surface of a deployable antenna mechanism on a plane in plan view, and connecting feature nodes on the plane with line segments to divide the shaping surface having an isosceles trapezoid on the plane; Step (2) of setting the size and curvature value of the specification of the parabolic reflecting surface to be designed at the center of the molding surface into which the isosceles trapezoid is divided, and establishing the parabolic reflecting surface corresponding to the size and curvature value of the specification; Step (3) is to project the isosceles trapezoidal shaping surface on the plane onto a parabolic reflecting surface to form a parabolic isosceles trapezoidal shaping surface, and the intersection of the line segments projected onto the parabolic reflecting surface is a characteristic node of the base of the isosceles trapezoid on the parabolic reflecting surface; Step (4) of establishing a vertex of an isosceles trapezoid above the base of the isosceles trapezoid on the parabolic reflecting surface, and connecting the vertex and the feature node of the base of the isosceles trapezoid on the parabolic reflecting surface to form an isosceles trapezoid square pyramid basic unit; and (5) constructing an isosceles trapezoidal pyramidal base combination unit according to a networking rule in which the isosceles trapezoidal pyramidal base basic units are arranged circumferentially.

[0009] In step (1), first, establish a polygon of equal length from the center of the plane, then establish another polygon from the center of the plane that is longer than the previous polygon, continue to divide outward until it reaches the size required for the deployable antenna mechanism, and finally connect adjacent end points in the same direction to each other to complete the establishment of a shaped surface on the plane. If the polygon established in the center has N sides, N identical isosceles trapezoid deployable units will be divided on the plane for each rotation, and the included angle formed by the 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 isosceles trapezoidal molding surface and the center of the parabolic reflecting surface are aligned.

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

[0012] Furthermore, in step (4), a vertex is established above the divided isosceles trapezoidal developable unit on the parabolic reflecting surface, and the feature node connecting the vertex to the isosceles trapezoid on the parabolic reflecting surface is the side edge. Since there are four feature nodes on the base of the isosceles trapezoid on the parabolic reflecting surface, there are a total of four edges, namely, the left long edge, the right long edge, the left short edge, and the right short edge. The edges connecting the four adjacent feature nodes of the isosceles trapezoid on the parabolic reflecting 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 pyramid basic unit on the parabolic reflecting surface.

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

[0014] In addition, a top flat chuck of the isosceles trapezoidal quadrangular 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, with the first support rod being equal to the second support rod and the third support rod being equal to the fourth support rod. 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 pyramid base basic units are arranged circumferentially on the parabolic reflecting surface of one isosceles trapezoidal pyramid base basic unit according to the networking rule of circumferentially arranging at 360° / N around the center of the polygon, thereby forming an isosceles trapezoidal pyramid base combination unit.

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

[0017] Also, a plurality of isosceles trapezoidal square pyramid-based combination units are combined to form a parabolic reflecting surface mechanism for an isosceles trapezoidal-based deployable antenna. [Effects of the Invention]

[0018] Compared with the prior art, the present invention has the following significant advantages:

[0019] (1) The deployable antenna mechanism with a parabolic reflecting surface of the present invention uses an isosceles trapezoid basic unit, and the isosceles trapezoid is a special trapezoid, one set of edges of which are parallel but unequal, another set of edges of which are unequal but equal, and the base angles formed by the adjacent edges have a certain angle, so that the square pyramid basic unit has higher supporting stability and reliability; (2) The deployable isosceles trapezoid-based antenna mechanism with a parabolic reflecting surface constructed according to the present invention is configured by configuring multiple identical isosceles trapezoid basic units into 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; (3) The deployable antenna mechanism with a parabolic reflecting surface formed by the present invention radiates from the center outward in a circumferential array, has high structural symmetry, good deployment performance, high overall rigidity and strength, and can be easily extended further outward for networking. [Brief explanation of the drawings]

[0020] [Figure 1] FIG. 1 is a flow chart of the method according to the present invention. [Figure 2] FIG. 2 is a plan view showing the division of a triangular, quadrangular, pentagonal, hexagonal, and heptagonal molding surface according to the present invention. [Figure 3] FIG. 3 is a three-dimensional diagram showing feature nodes projecting a triangle, a quadrilateral, a pentagon, a hexagon, and a heptagon onto an isosceles trapezoid on a paraboloid according to the present invention. [Figure 4] FIG. 4 is a three-dimensional diagram showing the division of the molding surface of the isosceles trapezoidal quadrangular pyramid basic unit on the triangular, quadrangular, pentagonal, hexagonal and heptagonal paraboloids according to the present invention. [Figure 5] FIG. 5 is a three-dimensional diagram showing the division of the molding surface of the isosceles trapezoidal square pyramid combination unit on the triangular, quadrangular, pentagonal, hexagonal and heptagonal paraboloids according to the present invention. [Figure 6] FIG. 6 is an axonometric view of a fully developed quadrilateral isosceles trapezoidal pyramidal base basic unit according to the present invention. [Figure 7] FIG. 7 is a plan view of a fully developed quadrangular isosceles trapezoidal pyramidal base basic unit according to the present invention. [Figure 8] FIG. 8 is an axonometric view of a fully folded quadrilateral isosceles trapezoidal pyramidal base basic unit according to the present invention. [Figure 9] FIG. 9 is a plan view of a rectangular isosceles trapezoidal pyramidal base basic unit according to the present invention completely folded. [Figure 10] FIG. 10 is an axonometric view of a fully developed quadrilateral isosceles trapezoidal pyramidal base combination unit according to the present invention. [Figure 11] FIG. 11 is a fully expanded front view of a quadrangular isosceles trapezoidal pyramidal base combination unit according to the present invention. [Figure 12] FIG. 12 is a fully developed plan view of a quadrilateral isosceles trapezoidal pyramidal base combination unit according to the present invention. [Figure 13] FIG. 13 is an axonometric view of a fully folded quadrilateral isosceles trapezoidal pyramidal base combination unit according to the present invention. [Figure 14] FIG. 14 is a front view of the rectangular isosceles trapezoidal pyramidal base combination unit according to the present invention when fully folded. [Figure 15] FIG. 15 is a plan view of a fully folded quadrangular isosceles trapezoidal pyramidal base combination unit according to the present invention. DETAILED DESCRIPTION OF THE INVENTION

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

[0022] As shown in FIG. 1, a parabolic reflector networking method for an isosceles trapezoid-based deployable antenna, comprising: Establish a shaping surface of the deployable antenna mechanism on a plane in plan view, and connect feature nodes on the plane with line segments to divide the shaping surface having an isosceles trapezoid on the plane; First, establish a polygon with the same length from the center of the plane, then establish another polygon with a length greater than the previous polygon from the center of the plane, continue to divide outward until the size of the deployable antenna mechanism is reached, and finally connect the adjacent end points in the same direction to each other, thus completing the establishment of a shaped surface on the plane; if the polygon established in the center has N sides, N identical isosceles trapezoid deployable units will be divided on the plane for each rotation, and the included angle between the 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 (2) of setting the size and curvature value of the specification of the parabolic reflecting surface to be designed at the center of the molding surface into which the isosceles trapezoid is divided, establishing a parabolic reflecting surface corresponding to the size and curvature value of the specification, and aligning the center of the molding surface having the isosceles trapezoid with the center of the parabolic reflecting surface; Step (3) of projecting the isosceles trapezoidal forming surface on the plane onto a parabolic reflecting surface to form a parabolic isosceles trapezoidal forming surface, the intersection of the line segments projected onto the parabolic reflecting surface being a feature node of the bottom of the isosceles trapezoid on the parabolic reflecting surface, projecting the forming surface established on the plane onto a parabolic surface of a required curvature, the parabolic surface being a reflecting surface of a required curvature for the deployable antenna mechanism, the feature node of the intersection of the line segments on the parabolic surface being the center point of the bottom flat chuck of the isosceles trapezoidal deployable unit, and the line segments connecting adjacent feature nodes being rod members; Establish a vertex of an isosceles trapezoid above the base of the isosceles trapezoid on the parabolic reflecting surface, and connect the vertex and the characteristic node of the base of the isosceles trapezoid on the parabolic reflecting surface to form an isosceles trapezoid square pyramid basic unit; A vertex is established above the divided isosceles trapezoidal deployable unit on the parabolic reflecting surface, and the feature node connecting the vertex to the isosceles trapezoid on the parabolic reflecting surface is a side edge. There are four feature nodes on the base of the isosceles trapezoid on the parabolic reflecting surface, so 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. The edges connecting the four adjacent feature nodes of the isosceles trapezoid on the parabolic reflecting surface are the bottom long edge, the bottom short edge, the bottom left edge, and the bottom right edge. All the edges are combined together to form one isosceles trapezoidal square pyramid basic unit on the parabolic surface, and the isosceles trapezoidal square pyramid base basic unit connects one vertex and four base points to each other. Step (4) is such that two interior angles on the same base of the isosceles trapezoid are equal, two legs are equal, and two bases are parallel, and a top flat chuck of the isosceles trapezoid square pyramid basic unit is installed at the apex, 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; a first support rod, a second support rod, a third support rod, and a fourth support rod are installed between the apex 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; forming an isosceles trapezoidal quadrangular pyramid-based combination unit according to a networking rule in which the isosceles trapezoidal quadrangular pyramid-based basic units are arranged circumferentially; (5) arranging N isosceles trapezoidal quadrilateral pyramid base basic units circumferentially on the parabolic reflecting surface of one isosceles trapezoidal quadrilateral pyramid base basic unit according to the networking rule of circumferential arrangement at the center of the polygon at 360° / N to form an isosceles trapezoidal quadrilateral pyramid base combination unit; arranging N isosceles trapezoidal quadrilateral pyramid base basic units circumferentially on the parabolic reflecting surface of one isosceles trapezoidal quadrilateral pyramid base basic unit after circumferential arrangement, so that the side edges of the isosceles trapezoidal quadrilateral pyramid basic units overlap each other, and adjacent isosceles trapezoidal quadrilateral pyramid basic units share side edges, and a support / folding auxiliary rod is established between the top flat chucks of adjacent isosceles trapezoidal quadrilateral pyramid basic units, and then forming an isosceles trapezoidal quadrilateral pyramid base combination unit; and (6) combining a plurality of isosceles trapezoidal square pyramid-based combination units to form a parabolic reflecting surface mechanism for an isosceles trapezoidal-based deployable antenna.

[0023] In the present invention, examples of the planar shaping surface are triangular, quadrangular, pentagonal, hexagonal, and heptagonal. Figure 2 shows a plan view of dividing a triangular, quadrangular, pentagonal, hexagonal, or heptagonal shaping surface. First, establish a polygon of equal length from the center of the plane. Then, establish a polygon longer than the previous polygon from the center of the plane. Continue dividing outward until the size required for the deployable antenna mechanism is reached. Finally, connect adjacent end points in the same direction to each other to complete the shaping surface on the plane. In this case, if the centrally established polygon has N sides, N identical isosceles trapezoidal deployable units are divided on the plane at each rotation. The included angle formed by adjacent edges of the base of the isosceles trapezoid is the interior angle, and the interior angle changes as the centrally established polygon 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 paraboloid. A shaping surface established on a plane is projected onto a paraboloid of the required curvature, and the paraboloid is a reflecting surface of the required curvature for the deployable antenna mechanism. The feature nodes where the line segments on the parabolic reflecting surface intersect are the center points of the bottom flat chucks of the isosceles trapezoid deployable units, and the line segments connecting adjacent feature nodes are rod members. Considering the lightweight nature of the deployable antenna mechanism in combination with the folding and deployment forms of the deployable antenna mechanism, the deployable unit is not placed in the central polygon.

[0025] Figure 4 is a three-dimensional diagram of the division of the molding surface of an isosceles trapezoidal pyramidal basic unit on a triangular, quadrangular, pentagonal, hexagonal, or heptagonal parabolic reflecting surface. A vertex is established above the divided isosceles trapezoidal developable unit on the parabolic reflecting surface. The feature node connecting the vertex to the isosceles trapezoid on the parabolic reflecting surface is the side edge. Since there are four feature nodes on the base of the isosceles trapezoid on the parabolic reflecting surface, there are a total of four edges: the long left edge, the long right edge, the short left edge, and the short right edge. The edges connecting the four adjacent feature nodes of the isosceles trapezoid on the parabolic reflecting surface are the long base edge, the short base edge, the left base edge, and the right base edge. All edges are combined together to form one isosceles trapezoidal pyramidal basic unit on the parabolic reflecting surface.

[0026] Figure 5 is a three-dimensional diagram dividing the molding surface of an isosceles trapezoidal pyramidal combination unit on a triangular, quadrangular, pentagonal, hexagonal, and heptagonal paraboloid. In one isosceles trapezoidal pyramidal base basic unit, N isosceles trapezoidal pyramidal base basic units are arranged in a circular pattern at 360° / N around the center of the polygon according to the networking rule to form an isosceles trapezoidal pyramidal base combination unit.

[0027] 6 and 7 are axonometric and plan views of a fully expanded isosceles trapezoidal pyramidal base unit. The isosceles trapezoidal pyramidal base unit is formed by connecting one vertex and four bases, 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. The top flat chuck 12 of the isosceles trapezoidal quadrangular pyramid basic unit is installed at the apex, and the first bottom flat chuck 23, the second bottom flat chuck 15, the third bottom flat chuck 18, and the fourth bottom flat chuck 21 are installed at the base points, respectively. The first support rod 11, the second support rod 13, the third support rod 17, and the fourth support rod 20 are installed between the apex and the base points, respectively. Since the isosceles trapezoid has a symmetrical relationship, the first support rod 11 is equal to the second support rod 13, and the third support rod 17 is equal to the fourth support rod 20. The long side folding rod 14, the short side folding rod 19, the first side folding rod 16, and the second side folding rod 22 are installed between adjacent base points, respectively.

[0028] 8 and 9 are axonometric and plan views of a rectangular isosceles trapezoidal pyramidal base unit fully folded. A simulation analysis model of the isosceles trapezoidal pyramidal base unit was established, and kinematic analysis was performed using Adams on the isosceles trapezoidal pyramidal base unit in its fully unfolded state. The theoretical analysis of its degrees of freedom revealed that the number of degrees of freedom of the isosceles trapezoidal pyramidal base unit is 1, which corresponds to the number of actuators in the mechanism. By installing one fixed joint and 24 revolute joints and adding one actuator, the isosceles trapezoidal pyramidal base unit can be folded from its fully unfolded state toward the center, resulting in its fully folded state.

[0029] 10, 11, and 12 are axonometric, front, and plan views of a fully expanded quadrangular isosceles trapezoidal pyramidal base combination unit. According to the networking rule of circumferential arrangement at 90° angles around the center of a polygon, four isosceles trapezoidal pyramidal base units are circumferentially arranged on the parabolic reflecting surface of one isosceles trapezoidal pyramidal base basic unit. After the circumferential arrangement, the side edges of the isosceles trapezoidal pyramidal base basic units overlap, allowing adjacent isosceles trapezoidal pyramidal base basic units to share their side edges. Support and folding auxiliary rods 24 are established between the top flat chucks of adjacent isosceles trapezoidal pyramidal base basic units to form the isosceles trapezoidal pyramidal base combination unit.

[0030] Figures 13, 14, and 15 are axonometric, front, and plan views of a fully folded quadrangular isosceles trapezoidal pyramidal base combination unit. The simulation analysis model of the isosceles trapezoidal pyramidal base basic unit involves networking the isosceles trapezoidal pyramidal base basic units in a circumferential array at 90° angles around the center of the polygon. The overlapping side edges of adjacent isosceles trapezoidal pyramidal basic units are then removed, and support and folding assist rods are added between the top flat chucks of adjacent isosceles trapezoidal pyramidal basic units. By installing one fixed pair and 100 rotating pairs and adding one actuator, the isosceles trapezoidal pyramidal combination unit can be folded from its fully unfolded state toward the center, resulting in its fully folded state.

[0031] The parabolic-frame deployable antenna mechanism formed by the isosceles trapezoid-based quadrangular pyramid combination unit of the present invention can be folded by simply adding one actuator, and has the advantages of high structural symmetry, a small number of degrees of freedom, easy control of folding and deployment, high scalability, and high support rigidity. By changing the length of each edge of the quadrangular pyramid and the length of each connecting rod, a deployable antenna mechanism with a parabolic reflecting surface structure of any size and any curvature can be formed.

Claims

1. 1. A parabolic reflector networking method for isosceles trapezoid-based deployable antennas, comprising: A step (1) of establishing a shaping surface of a deployable antenna mechanism on a plane in plan view, and connecting feature nodes on the plane with line segments to divide the shaping surface having an isosceles trapezoid on the plane; Step (2) of setting the size and curvature value of the specification of the parabolic reflecting surface to be designed at the center of the molding surface into which the isosceles trapezoid is divided, and establishing the parabolic reflecting surface corresponding to the size and curvature value of the specification; Step (3) of projecting the isosceles trapezoidal shaping surface on the plane onto a parabolic reflecting surface to form a parabolic isosceles trapezoidal shaping surface, and the intersection of the line segments projected onto the parabolic reflecting surface is a characteristic node of the base of the isosceles trapezoid on the parabolic reflecting surface; Step (4) of establishing a vertex of an isosceles trapezoid above the base of the isosceles trapezoid on the parabolic reflecting surface, and connecting the vertex and the feature node of the base of the isosceles trapezoid on the parabolic reflecting surface to form an isosceles trapezoid square pyramid basic unit; and (5) constructing an isosceles trapezoidal quadrangular pyramid-based combination unit according to a networking rule in which the isosceles trapezoidal quadrangular pyramid-based basic units are arranged circumferentially.

2. 2. The method for networking parabolic reflecting surfaces of isosceles trapezoid-based deployable antennas according to claim 1, wherein in step (1), first, a polygon of equal length is established from the center of the plane, then another polygon of a length greater than the previous polygon is established from the center of the plane, and the division continues outward until the size of the deployable antenna structure is reached, and finally, adjacent end points in the same direction are connected to each other to complete the establishment of a shaped surface on the plane. If the polygon established at the center has N sides, N identical isosceles trapezoid deployable units are divided on the plane for each rotation, and the included angle between 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 at the center changes.

3. 2. The method for networking parabolic reflecting surfaces of isosceles trapezoid-based deployable antennas according to claim 1, wherein in step (2), the center of the shaped surface having an isosceles trapezoid and the center of the parabolic reflecting surface are aligned.

4. 2. The method for networking parabolic reflecting surfaces of an isosceles trapezoid-based deployable antenna as claimed in claim 1, characterized in that in step (3), the shaping surface established on the plane is projected onto a paraboloid of the required curvature, and the paraboloid is a reflecting surface of the required curvature for the deployable antenna mechanism, the feature node where the line segments on the paraboloid intersect is the center point of the bottom flat chuck of the isosceles trapezoid deployable unit, and the line segments connecting adjacent feature nodes are rod members.

5. 2. The method for networking parabolic reflecting surfaces of isosceles trapezoid-based deployable antennas as claimed in claim 1, wherein in step (4), one vertex is established above the divided isosceles trapezoid deployable units on the parabolic reflecting surface, and the feature node connecting the vertex to the isosceles trapezoid on the parabolic reflecting surface is a side edge; there are four feature nodes at the base of the isosceles trapezoid on the parabolic reflecting surface, so there are a total of four edges, namely, a long left edge, a long right edge, a short left edge, and a short right edge; the edges connecting the four adjacent feature nodes of the isosceles trapezoid on the parabolic reflecting surface to each other are the long bottom edge, the short bottom edge, the left bottom edge, and the right bottom edge; and all the edges are combined together to form one isosceles trapezoid square pyramid basic unit on the parabolic reflecting surface.

6. 6. The method for networking parabolic reflecting surfaces of an isosceles trapezoid-based deployable antenna as claimed in claim 5, characterized in that in step (4), the isosceles trapezoidal square pyramid base basic unit is formed by connecting one vertex and four base points to each other, 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. 7. The method for networking parabolic reflecting surfaces of an isosceles trapezoid-based deployable antenna as claimed in claim 6, wherein the apex is provided with a top flat chuck of an isosceles trapezoidal quadrangular pyramid basic unit, and the bases are provided with a first flat chuck, a second flat chuck, a third flat chuck, and a fourth flat chuck, respectively; a first support rod, a second support rod, a third support rod, and a fourth support rod are respectively provided between the apex and the base, the first support rod is equal to the second support rod, and 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 respectively provided between adjacent bases.

8. 2. The parabolic reflecting surface networking method for an isosceles trapezoid-based deployable antenna as claimed in claim 1, characterized in that in step (5), N isosceles trapezoidal pyramid-based basic units are arranged circumferentially on the parabolic reflecting surface of one isosceles trapezoidal pyramid-based basic unit according to the networking rule of circumferentially arranging at 360° / N around the center of the polygon to form an isosceles trapezoidal pyramid-based combination unit.

9. 10. The method for networking parabolic reflecting surfaces of isosceles trapezoid-based deployable antennas according to claim 8, wherein in step (5), N isosceles trapezoidal pyramid basic units are arranged circumferentially on the parabolic reflecting surface of one isosceles trapezoidal pyramid base basic unit, and after the circumferential arrangement, the side edges of the isosceles trapezoidal pyramid basic units overlap, so that adjacent isosceles trapezoidal pyramid basic units share their side edges, and a support and folding auxiliary rod is established between the top flat chucks of adjacent isosceles trapezoidal pyramid basic units to form an isosceles trapezoidal pyramid base combination unit.

10. 2. The isosceles trapezoid-based deployable antenna parabolic reflecting surface networking method of claim 1, wherein a plurality of isosceles trapezoid-based quadrangular pyramid-based combination units are combined to form an isosceles trapezoid-based deployable antenna parabolic reflecting surface mechanism.

Images