Rotating parabolic foldable antenna structure

Abstract

The application discloses a rotating parabolic foldable antenna structure, a basic unit of which is designed based on a rigid thick plate paper-cutting theory and comprises three single-degree-of-freedom foldable arrays, elastic driving hinges and spokes. The spring driving hinge is installed at a connecting joint of the single-degree-of-freedom foldable array, and the automatic unfolding of the foldable array can be realized through spring driving. The surface topography of the foldable array is processed through material cutting and adding, so that the array has high surface precision, and the unfolding movement is stopped through the interference between the plate surfaces and the foldable arrays. In the non-working state, the application can be folded into a small volume for transportation, and in the working state, the foldable array is unfolded to the expected working position through the spring driving force, and has the advantages of simple structure, large foldable ratio, less degree of freedom, stable unfolding, high surface precision and the like.

Description

Technical Field

[0001] This invention relates to the field of space deployable mechanism technology, and in particular to a rotational parabolic deployable antenna structure. Background Technology

[0002] Space deployable structures are structures that enable the main structure, substructure, or a component of a spacecraft to change from an initial position or shape to a final position or shape and maintain that state. It is a structural field that has gradually developed from simple to complex, accompanying the advancement of spacecraft. With the rapid development of the aerospace field, large-scale space structures with deployable characteristics have emerged. These types of deployable structures are folded and stowed during launch, fixedly installed inside the launch vehicle. After launch and orbit insertion, the ground control center controls the structure to gradually unfold as required, lock it in place, and maintain its operational state, thus forming a large space structure. Parabolic deployable fixed-surface antennas are an important application of space deployable structures in aerospace engineering, attracting much attention from researchers. They are an important component of satellite structures and a crucial physical platform for directly performing satellite functions.

[0003] Currently, researchers both domestically and internationally have conducted extensive research on deployable fixed-surface structures, designing various types of deployable fixed-surface structures. Deployable fixed-surface mechanisms generally use rigid thick plates to form the working surface, employing hinges as rotational joints between rigid panels. They fold and retract when not in use, and slowly open during operation by driving the hinges or a motor, supported by structures such as trusses. Existing deployable fixed-surface structures, such as sunflower-shaped deployable antennas and Cassegrain deployable antennas, possess high surface accuracy and structural stability; however, their folding-to-displacement ratio is small, making it difficult to meet current and future application requirements. Therefore, designing deployable fixed-surface structures with fewer degrees of freedom, simpler structures, larger folding-to-displacement ratios, and higher surface accuracy is a key focus for researchers. Summary of the Invention

[0004] The purpose of this invention is to address the problems in the prior art by providing a rotational parabolic deployable antenna structure with advantages such as large folding-to-spread ratio, high surface accuracy, and high stability, aiming to solve the problems of small folding-to-spread ratio, low surface accuracy, or inability to deploy autonomously in current spatial deployable structures.

[0005] The technical solution adopted to achieve the purpose of this invention is:

[0006] A parabolic foldable antenna structure comprises multiple identical single-degree-of-freedom foldable arrays and a spoke, with the spoke located in the middle of the foldable antenna structure. The multiple single-degree-of-freedom foldable arrays are arranged at certain angles around the center line of the spoke. Each single-degree-of-freedom foldable array is composed of multiple basic foldable units arranged alternately, each basic foldable unit being a rigid thick plate connected by a first spring-driven hinge. Each single-degree-of-freedom foldable array is connected to the spoke by a second spring-driven hinge. When the foldable antenna structure is unfolded to the working state, the sides of the single-degree-of-freedom foldable arrays correspond to each other. The surface morphology of the rigid thick plate is subjected to material addition and removal processing, and the dihedral angle or sector angle is adjusted to determine the surface curvature, so that the rigid thick plate has a predetermined shape to meet the shape and self-locking requirements.

[0007] Among them, the structures of multiple single-degree-of-freedom unfolded arrays are completely identical.

[0008] The single-degree-of-freedom folding array is composed of a first basic folding unit, a second basic folding unit, and a third basic folding unit. The first basic folding unit is arranged symmetrically next to the spokes and is arranged in sequence. The second basic folding unit is arranged above the first basic folding unit. The third basic folding unit is located between the first and second basic folding units, and the first and second basic folding units are arranged alternately and share a rigid thick plate.

[0009] Specifically, when the single-degree-of-freedom unfolded array is unfolded into a plane and the number of columns of the rigid thick plate is determined, the number of arrays is calculated by adjusting the size of the sector angle, so that multiple single-degree-of-freedom unfolded arrays unfold to form a closed loop, thereby determining the surface curvature.

[0010] When the dihedral angle of the single-degree-of-freedom unfolded array is determined, the curvature of the surface is determined by adjusting the size of the dihedral angle.

[0011] In this configuration, the front trapezoidal bottom edge and the back trapezoidal bottom edge of the middle lower plate of the basic folding unit of the single-degree-of-freedom folding array are connected to the front edge line of the wheel spoke, forming the first assembly configuration and the second assembly configuration, respectively.

[0012] The trapezoidal bottom edge of the middle lower plate of the basic folding unit is connected to the front edge line of the spoke to form a first assembly configuration. When the single-degree-of-freedom folding array moves synchronously, the first assembly configuration unfolds into a parabolic shape when it is in the working state and cuts out a complete target parabolic surface. When it is folded up, the trajectory is a single-degree-of-freedom motion.

[0013] The trapezoidal bottom edge of the middle lower plate of the basic folding unit is connected to the back edge of the spoke to form a second assembly configuration. When the single-degree-of-freedom folding array moves synchronously, the second assembly configuration presents a parabolic shape when unfolded and has two different states after being folded up. The two states can be converted into each other.

[0014] Specifically, by removing material to match the profile of the rigid thick plate with the target parabolic surface, and by adding material to make the rigid thick plate contact the adjacent rigid thick plate when unfolded to the working position, the single-degree-of-freedom unfolding array can be maintained in the working position under the combined action of the contact force between the spring-driven hinge and the rigid thick plate, and the profile of the rigid thick plate matches the target parabolic surface, forming a foldable structure of a rotational parabolic shape with a large unfolding ratio, high profile accuracy, and high stability.

[0015] The cross-sectional shape of the single-degree-of-freedom developable array rises in a stepped slope in the form of a gradient. When the inclination angle of the cross-section matches the inclination angle of the parabola, the rigid thick plate is made to match the surface of the rigid thick plate with the target parabola by removing and adding material.

[0016] The rotating parabolic deployable antenna structure of the present invention is based on a single-degree-of-freedom deployable array designed by a thick plate paper-cutting folding method. Through the connection between the single-degree-of-freedom deployable array and the spokes, after the surface adjustment of the rigid thick plate, the deployable structure is realized under the driving force of the spring-driven hinge. Under the combined action of driving force and contact force, it unfolds to the working position, realizing the specific parabolic surface requirements during operation. Attached Figure Description

[0017] Figure 1 This is an isometric schematic diagram of the unfolded parabolic foldable antenna structure according to an embodiment of the present invention.

[0018] Figure 2 This is a top-view schematic diagram of the unfolded parabolic foldable antenna structure according to an embodiment of the present invention (showing the arrangement of three single-degree-of-freedom foldable arrays).

[0019] Figure 3 This is a second top view of the unfolded parabolic deployable antenna structure according to an embodiment of the present invention (showing the arrangement of the five basic deployable units of each single-degree-of-freedom deployable array).

[0020] Figure 4 This is a schematic diagram of a single-degree-of-freedom unfolded array according to an embodiment of the present invention.

[0021] Figure 5 This is a schematic diagram of a spring-driven hinge according to an embodiment of the present invention.

[0022] Figure 6This is a schematic diagram showing the angles and thickness parameters of the six thick plates of the basic unfolding unit in an embodiment of the present invention.

[0023] Figure 7 This is a front view of the basic unfolding unit with a spring-driven hinge according to an embodiment of the present invention.

[0024] Figure 8 This is a schematic diagram of the back of the basic unfolding unit with a spring-driven hinge according to an embodiment of the present invention.

[0025] Figure 9 This is a schematic diagram of the segmentation and cutting of a single-degree-of-freedom unfolding array according to an embodiment of the present invention.

[0026] Figure 10 This is a front view of the target surface of the rotational parabolic deployable antenna structure according to an embodiment of the present invention.

[0027] Figure 11 This is a reverse schematic diagram of the target surface of the rotational parabolic deployable antenna structure according to an embodiment of the present invention.

[0028] Figure 12 This is a schematic diagram of the target surface processing of the rotational parabolic deployable antenna structure according to an embodiment of the present invention.

[0029] Figure 13 These are schematic diagrams illustrating the assembly configurations of two different installation methods for the rotary parabolic deployable antenna structure according to embodiments of the present invention.

[0030] Figure 14 This is a schematic diagram of the unfolding process of the rotational parabolic deployable antenna structure according to an embodiment of the present invention.

[0031] Figure label:

[0032] 1 single-degree-of-freedom folding array, 2 spokes;

[0033] I. First single-degree-of-freedom deployable array; II. Second single-degree-of-freedom deployable array; III. Third single-degree-of-freedom deployable array;

[0034] 1-1 First basic folding unit, 1-2 Second basic folding unit, 1-3 Third basic folding unit, 1-4 Fourth basic folding unit, 1-5 Basic folding unit;

[0035] 2-1 First board, 2-2 Second board, 2-3 Third board, 2-4 Fourth board, 2-5 Fifth board, 2-6 Sixth board, 2-7 Seventh board, 2-8 Eighth board, 2-9 Ninth board, 2-10 Tenth board, 2-11 Eleventh board, 2-12 Twelfth board, 2-13 Thirteenth board, 2-14 Fourteenth board, 2-15 Fifteenth board, 2-16 Sixteenth board, 2-17 Seventeenth board, 2-18 Eighteenth board, 2-19 Nineteenth board, 2-20 Twentieth board;

[0036] 3-1 Spring hinge left hinge, 3-2 Spring hinge right hinge, 3-3 Spring and pin, 3-4 Fixing bolt hole;

[0037] 4-1 First assembly configuration, 4-2 Second assembly configuration. Detailed Implementation

[0038] The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.

[0039] The rotating parabolic deployable antenna structure of the present invention consists of three identical single-degree-of-freedom deployable units and a spoke. The ideal working surface is obtained by adding or removing rigid thick plate material, and the overall structure is deployed by an elastic drive hinge.

[0040] refer to Figure 1 As shown, a rotational parabolic deployable antenna structure is based on paper-cutting theory and the thickening design of planar paper-cutting. It is composed of a spring-driven hinge and a single-degree-of-freedom deployable array unit 1. For details, see [link to documentation]. Figure 2 As shown, the assembly consists of three identical single-degree-of-freedom (DOF) unfolding arrays: I, II, and III, and one spoke 2. Each DDF unfolding array comprises twenty rigid thick plates and twenty-eight elastic drive hinges (16 on the front and 12 on the back). Each DDF unfolding array is connected to the spoke by two additional spring-driven hinges. Specifically, DDF unfolding arrays I, II, and III are each connected to the spoke via two spring-driven hinges. The surface morphology of the rigid thick plates is processed by adding and removing material, giving them a specific preset profile. The interference between the surfaces of the rigid thick plates is used to stop the movement in the unfolded state, thus satisfying the profile and self-locking requirements.

[0041] In this embodiment of the application, the single-degree-of-freedom folding array and the spokes can be made into a scale model using 3D printing technology. The processing material can be PLA. Using this processing method and material makes the processing simple, the weight light and the cost low.

[0042] The overall structure of this parabolic foldable antenna, viewed from above, has the spokes located in the middle of the foldable structure. The first single-degree-of-freedom foldable array I, the second single-degree-of-freedom foldable array II, and the third single-degree-of-freedom foldable array III are arranged at 120° intervals around the center line of the spokes. Figure 2 As shown, each single-degree-of-freedom folding array is cut at 120° intervals along the centerline of the spokes. Please refer to [link / reference]. Figure 9 As shown, removing the dashed lines on both sides forms a single-degree-of-freedom unfolded array.

[0043] In this embodiment, the spring-driven hinge consists of a left hinge 3-1, a right hinge 3-2, a drive spring, a connecting pin 3-3, and a bolt 3-4. The left and right hinges are connected by the connecting pin, and the drive spring is nested on the connecting pin. The ends of the spring wires of the drive spring contact the left and right hinges respectively, providing driving force. The spring-driven hinge is located at the joint of a rigid thick plate, and the left and right hinges are connected to the rigid plate, thus forming a rotary kinematic pair with a driving function. Figure 5 As shown.

[0044] In this embodiment of the invention, the spring-driven hinge is made of metal and is installed at the crease position of the single-degree-of-freedom deployable array, which has the advantages of high strength and light weight.

[0045] As one example, the three single-degree-of-freedom folding arrays have the same structure. Each folding array is composed of multiple basic folding units. As one example, a single-degree-of-freedom folding array is constructed from five basic folding units. After construction, some rigid thick plates need to be cut to ensure that no interference occurs after folding.

[0046] See Figure 3 As shown, the first basic folding unit 1-1 and the second basic folding unit 1-2 are arranged symmetrically, the fourth basic folding unit 1-4 and the fifth basic folding unit 1-5 are arranged symmetrically above the first basic folding unit 1-1 and the second basic folding unit 1-2, and the third basic folding unit 1-3 is located between the first basic folding unit 1-1, the second basic folding unit 1-2, the fourth basic folding unit 1-4 and the fifth basic folding unit 1-5, as shown. Figure 3 As shown, the second basic folding unit 1-2 is located to the right of the first basic folding unit 1-1, and shares two plates with the first basic folding unit 1-1; the fourth basic folding unit 1-4 is located above the first basic folding unit 1-1, and does not share any plates with the first basic folding unit 1-1; the fifth basic folding unit 1-5 is located above the second basic folding unit 1-2, and does not share any plates with the second basic folding unit 1-2; the third basic folding unit 1-3 is located between the first basic folding unit 1-1, the second basic folding unit 1-2, the fourth basic folding unit 1-4, and the fifth basic folding unit 1-5, and shares six plates with the first basic folding unit 1-1, the second basic folding unit 1-2, the fourth basic folding unit 1-4, and the fifth basic folding unit 1-5.

[0047] Among them, see Figure 4As shown, each basic folding unit is composed of six connected plates. For example, the first basic folding unit 1-1 consists of plates 2-3 (third), 2-4 (fourth), 2-7 (seventh), 2-8 (eighth), 2-11 (eleventh), and 2-12 (twelfth). Similarly, the second basic folding unit 1-2 consists of plates 2-11 (eleventh), 2-12 (twelfth), 2-15 (fifteenth), 2-16 (sixteenth), 2-19 (nineteenth), and 2-20 (twentieth). The first basic folding unit 1-1 and the second basic folding unit 1-2 share plates 2-11 and 2-12. (See [reference]). Figure 6 As shown, the structures of the other three basic folding units will not be described in detail; please refer to [link to relevant documentation]. Figure 4 As shown.

[0048] See Figure 4 As shown, taking a basic folding unit on the left as an example, two middle plates are arranged vertically in the middle, and two outer plates are arranged on each side of the middle plates. They are connected to each other to form the basic folding unit. The peak fold of each basic folding unit is set at the connection between the left first plate (third plate 2-3) and the middle first plate (seventh plate 2-7), the left second plate (fourth plate 2-4) and the middle second plate (eighth plate 2-8), the middle first plate (seventh plate 2-7) and the right first plate (eleventh plate 2-11), and the middle second plate (eighth plate 2-8) and the right second plate (twelfth plate 2-12) of its thick plate unit. The valley fold is set at the connection between the left first plate (third plate 2-3) and the left second plate (fourth plate 2-4), the right first plate (eleventh plate 2-11) and the second plate (twelfth plate 2-12) of the thick plate unit.

[0049] like Figure 6 As shown, for any basic folding unit, normal folding is only possible under the constraint of thick-plate folding. A basic folding unit consists of two single-vertex four-fold lines sharing a single fold line. The angular relationships should satisfy: α1+α2=π, α3+α4=π, α5+α7=π, α6+α8=π. The plate thickness relationships should satisfy a1=a3=a5=A1, a2=a4=a6=A2.

[0050] In the above parameters, a1~a6 are the plate thicknesses, and α1~α8 are the sector angles. Taking the basic unfolding unit 1-1 as an example, the meaning of the parameters is explained as follows: a1 is the thickness of the fourth plate 2-4, a2 is the thickness of the eighth plate 2-8, a3 is the thickness of the twelfth plate 2-12, a4 is the thickness of the third plate 2-3, a5 is the thickness of the seventh plate 2-7, a6 is the thickness of the eleventh plate 2-11, α1 is the angle between the top edge and the right hypotenuse in the trapezoidal shape on the front of the fourth plate 2-4, and α2 is the angle between the top edge and the right hypotenuse in the trapezoidal shape on the front of the eighth plate 2-8. The angles between the left and right hypotenuses are as follows: α3 is the angle between the base and the left hypotenuse in the trapezoid on the front side of panel 7 (2-7); α4 is the angle between the base and the right hypotenuse in the trapezoid on the front side of panel 3 (2-3); α5 is the angle between the top and the right hypotenuse in the trapezoid on the front side of panel 8 (2-8); α6 is the angle between the top and the left hypotenuse in the trapezoid on the front side of panel 12 (2-12); α7 is the angle between the base and the left hypotenuse in the trapezoid on the front side of panel 11 (2-11); and α8 is the angle between the base and the right hypotenuse in the trapezoid on the front side of panel 7 (2-7).

[0051] For each basic unfolding unit, there are a total of 6 rotary joints between adjacent thick plates. Each rotary joint is equipped with 1 or 2 spring-driven hinges. See [link / reference needed]. Figure 7 , Figure 8 As shown in the figure, there are 6 rotary joints, and there are a total of 8 spring-driven hinges on the joints. In order to improve rigidity, each joint on the back uses two spring-driven hinges. From the front view, the installation positions of the spring-driven hinges are: the connection between the right diagonal edge of the left first plate and the left diagonal edge of the middle first plate; the connection between the right diagonal edge of the left second plate and the left diagonal edge of the middle second plate; the connection between the left diagonal edge of the right first plate and the right diagonal edge of the middle first plate; and the connection between the left diagonal edge of the right second plate and the right diagonal edge of the middle second plate. From the back view, the installation positions of the spring-driven hinges are: the connection between the lower flat edge of the left first plate and the upper flat edge of the left second plate; and the connection between the lower flat edge of the right first plate and the upper flat edge of the right second plate.

[0052] In the deployable antenna structure of this application embodiment, when deployed to the working state, the sides of the three single-degree-of-freedom deployable arrays correspond to each other. The three single-degree-of-freedom deployable arrays deploy independently and synchronously. For any one of the single-degree-of-freedom deployable arrays, only one driving force is required to achieve the folding motion of the array. For example, the motion input is transmitted from the first single-degree-of-freedom basic folding unit 1-1 to the second single-degree-of-freedom basic folding unit 1-2, then from the second single-degree-of-freedom basic folding unit 1-2 to the third single-degree-of-freedom basic folding unit 1-3, then from the third single-degree-of-freedom basic folding unit 1-3 to the fourth single-degree-of-freedom basic folding unit 1-4, and then from the fourth single-degree-of-freedom basic folding unit 1-4 to the fifth single-degree-of-freedom basic folding unit 1-5. The spring-driven hinge provides the driving force for the single-degree-of-freedom deployable array to be deployed to the working position, and the other positions provide auxiliary deployment forces to help the single-degree-of-freedom deployable array achieve the folding motion.

[0053] The deployable antenna structure of this invention is constructed from multiple identical single-degree-of-freedom deployable arrays. To form a parabolic sphere of revolution, multiple basic deployable units are required to form a single-degree-of-freedom deployable array. The mathematical relationship between them can be described as follows:

[0054]

[0055] Where m is the number of single-degree-of-freedom folding arrays. The dihedral angle, m, represents the angle between adjacent rigid thick plates. R The number of thick plate layers in a single-degree-of-freedom deployable array, selected in the direction around the center of the spokes.

[0056] The rotational parabolic deployable antenna structure of this invention can be implemented in two ways to achieve the same parabolic design. The first method is to adjust the sector angles α1 to α8 to meet the design requirements, and the second method is to adjust the dihedral angles. To achieve the design requirements, the target parabolic surface can be obtained by adding or removing material from the rigid thick plate of the parabolic foldable antenna structure. Figure 10 , Figure 11 As shown.

[0057] In this embodiment, the surface curvature can be determined by adjusting the size of the dihedral angle. Since the cross-sectional shape of a single-degree-of-freedom developable array rises in a stepped slope in a gradient-like manner, when the cross-sectional inclination angle θ is similar to the parabolic inclination angle, excess material on the surface can be removed by cutting to form the target parabolic surface of the developable structure, such as... Figure 12 As shown, material is removed from the front side of a uniformly thick plate, while the back side remains untreated. Figure 12 This is a cross-sectional view of the antenna structure along the center line. Except for the central spokes, the thin solid lines and dashed lines on the left and right sides represent the highest or lowest positions that all uniform thick plates in the structure can reach around the center dotted line. There is a continuous spatial region between the highest and lowest positions, in which the desired parabolic surface can be cut out. Figure 12 The thick solid line lies within the aforementioned spatial region, representing the parabolic shape after material removal.

[0058] In this embodiment, the single-degree-of-freedom folding array is connected to the central spokes in two ways. The first way is through the middle second plate of the basic unit 1 (i.e., Figure 4 , 6 The trapezoidal bottom edge of the eighth plate (2-8) shown in the diagram is connected to the front edge line of the spokes. The second type is the middle second plate of the basic unit 1 (i.e. Figure 4 , 6The trapezoidal bottom edge of the back of the eighth plate (2-8) shown in the figure is connected to the front edge of the spoke; the two different assembly methods form two different configurations, namely the first assembly configuration 4-1 and the second assembly configuration 4-2.

[0059] In the case of synchronous motion of a single-degree-of-freedom folding array, in the first assembly configuration, it exhibits a parabolic shape when unfolded to the working state, and its trajectory during retraction follows a single-degree-of-freedom motion. Figure 13 Left image; In the second assembly configuration, it unfolds into a parabolic shape, and after folding, it has... Figure 13 The second assembly configuration has two different states after being closed. These two states can be switched between each other. See Figure 13 The diagram on the right shows the first and second assembly configurations, where the single-degree-of-freedom folding arrays are identical. The difference lies in the connection method between the folding array and the central spoke. In the second assembly configuration, after the single-degree-of-freedom folding array is folded, it can be folded as a whole around the hinge connected to the spoke. The two states of the second assembly configuration after folding can be considered as two states before and after folding. The two assembly forms mentioned above differ in their ability to cut out parabolic surfaces. The first assembly form can cut out a relatively complete target parabolic surface of revolution, while the second assembly form cannot cut out a complete parabolic surface. The folding and unfolding states of the two assembly forms are shown below. Figure 13 As shown.

[0060] The specific working process of the rotational parabolic deployable antenna structure in this embodiment is as follows:

[0061] By placing the spoke bottom surface of this embodiment of the invention on a horizontal plane, the single-degree-of-freedom folding array is in a folded state. After removing the intervention of the manual clamping mechanism, it will automatically open under the drive of the built-in spring-driven hinge. After unfolding to the expected working position, the thick plate structure stops further unfolding due to interference and collision; it remains in the expected working surface position under the action of spring force and the contact force of the thick plate surface. After opening, its entirety will present a parabolic surface with a specific generatrix; this is the working position of the parabolic foldable structure (see [reference]). Figure 14 As shown, Figure 14 The diagram illustrates the opening process of the first and second assembly configurations in a collapsed state. After deployment, the array can be collapsed manually or by a specific retrieval device. See [link to documentation]. Figure 13 As shown.

[0062] The above description is only a preferred embodiment of the present invention. It should be noted that, for those skilled in the art, several improvements and modifications can be made without departing from the principle of the present invention, and these improvements and modifications should also be considered within the scope of protection of the present invention.

Claims

1. A rotatable parabolic deployable antenna structure, characterized in that The single degree of freedom foldable array is composed of a plurality of identical single degree of freedom foldable arrays and a spoke, the spoke is located in the middle of the foldable antenna structure, and the plurality of single degree of freedom foldable arrays are arranged at intervals around the central line of the spoke; each single degree of freedom foldable array is composed of a plurality of basic foldable units arranged alternately, and each basic foldable unit is composed of a rigid thick plate connected by a first spring-driven hinge; each single degree of freedom foldable array and the spoke are connected by a second spring-driven hinge; When the foldable antenna structure is unfolded to the working state, the side edges of the single degree of freedom foldable array correspond to each other; the surface topography of the rigid thick plate is subjected to material addition and removal treatment, the dihedral angle or the sector angle is adjusted to define the surface curvature, the rigid thick plate has a predetermined profile to meet the profile and self-locking requirements; when the single degree of freedom foldable array is unfolded to a plane and the number of the rigid thick plates is determined, the number of arrays is calculated by adjusting the size of the sector angle, so that a plurality of single degree of freedom foldable arrays are unfolded to form a closed loop, thereby defining the surface curvature; when the dihedral angle of the single degree of freedom foldable array is determined, the surface curvature is defined by adjusting the size of the dihedral angle; the front trapezoidal bottom edge and the back trapezoidal bottom edge of the middle lower plate of the basic foldable unit of the single degree of freedom foldable array are connected with the front edge line of the spoke, respectively forming a first assembly configuration and a second assembly configuration; the front trapezoidal bottom edge of the middle lower plate of the basic foldable unit is connected with the front edge line of the spoke to form the first assembly configuration; the first assembly configuration presents a rotational parabolic surface shape when the single degree of freedom foldable array is synchronously moved and unfolded to the working state, and cuts out a complete target rotational parabolic surface, and the trajectory presents a single degree of freedom motion when it is folded; the front trapezoidal bottom edge of the middle lower plate of the basic foldable unit is connected with the back edge line of the spoke to form the second assembly configuration; the second assembly configuration presents a rotational parabolic surface shape when the single degree of freedom foldable array is synchronously moved and unfolded, and has two different states after folding is completed, and the two states can be converted; The rotational parabolic surface is formed, and the mathematical relationship is described as: where m is the number of single degree of freedom foldable arrays, representing the dihedral angle of the adjacent rigid thick plate, m R is the number of thick plates in the single degree of freedom deployable array around the center of the spoke.

2. The rotatable parabolic deployable antenna structure of claim 1, wherein, The structures of a plurality of single degree of freedom foldable arrays are completely same.

3. The rotatable parabolic deployable antenna structure of claim 1, wherein, The single degree of freedom foldable array is composed of a first basic foldable unit, a second basic foldable unit and a third basic foldable unit; the first basic foldable unit is arranged symmetrically next to the spoke and arranged in sequence; the second basic foldable unit is arranged above the first basic foldable unit; the third basic foldable unit is located between the first basic foldable unit and the second basic foldable unit, and the first basic foldable unit and the second basic foldable unit are staggered and share the rigid thick plate.

4. The rotatable parabolic deployable antenna structure of Claim 1, wherein, The profile of the rigid thick plate is matched with the target parabolic surface by removing the material, and the rigid thick plate is in contact with the adjacent rigid thick plate when it is unfolded to the working position by adding the material, so that the single degree of freedom foldable array can be kept in the working position under the joint action of the contact force between the spring-driven hinge and the rigid thick plate, the profile of the rigid thick plate is matched with the target parabolic surface, and the rotational parabolic surface type foldable structure with large foldable ratio, high profile precision and high stability is formed.

5. The rotatable parabolic deployable antenna structure of Claim 1, wherein, The cross section shape of the single degree of freedom deployable array is in the form of a gradient rising in a stepped slope, when the cross section inclination angle matches the parabolic inclination angle, the material of the rigid thick plate is removed and added to make the profile of the rigid thick plate realize the target parabolic surface.

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