A method and device for generating a fold line of an antenna reflector surface considering a thickness of a film
Patent Information
- Application Number
- CN202611084730.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2026-07-21
- Publication Date
- 2026-10-27
AI Technical Summary
针对天线抛物面反射面，已有的折叠方法往往难以满足天线反射面的精度要求
1. 通过本发明方法设计的薄膜反射面折痕线采用测地线作为折痕线，由于抛物面上任意两点之间不存在真正意义上的“直线”，而是以测地线（即曲面上的最短路径）作为“直线”的替代。因此，抛物面上的折痕线采用测地线符合曲面几何的基本原理，可以确保在折叠过程中，材料沿测地线方向运动时不会发生拉伸或压缩，保持了结构的几何完整性和力学合理性。
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Figure CN122987128A_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of thin-film antenna technology, and relates to a method and apparatus for generating crease lines on antenna reflectors that take into account the thickness of the thin film. Background Technology
[0002] With the increasing demand for high-performance antennas in fields such as space exploration and satellite communications, the aperture size of antennas is also gradually increasing. Large-aperture antennas can provide higher gain and stronger signal reception capabilities, but they also bring a series of engineering challenges, such as large structural size, transportation, and launch difficulties. To solve this problem, deployable antennas have emerged. By folding the antenna structure on the ground, launching it into orbit, and then deploying it in space, not only is the launch volume effectively reduced, but the space utilization efficiency of the antenna is also improved.
[0003] As a type of deployable antenna, the ring-shaped thin-film reflector antenna has broad application prospects due to its advantages such as light weight, high packability, and strong foldability. However, the reflector surface of a ring-shaped thin-film reflector antenna is parabolic, making it prone to wrinkles and irregular deformation during folding and unfolding. This not only affects the antenna's electrical performance but may also cause structural damage. To ensure that the antenna reflector deforms in an orderly and controllable manner during folding and unfolding, and to avoid random wrinkling, a regular folding design, i.e., crease design, is necessary. A reasonable crease design can improve the unfolding accuracy and repeatability of the antenna reflector; therefore, research on crease design for ring-shaped antenna reflectors has significant engineering implications and application value.
[0004] However, existing methods for designing fold lines on antenna reflectors still have many shortcomings. Parallel projection calculations alone cannot guarantee the projected geometric properties and are only applicable to spheres with constant positive curvature. Because antenna reflectors require high precision, cutting slits in a plane can only create an approximate parabolic film; a truly continuous parabolic surface requires an infinite number of slits. For parabolic antenna reflectors, existing folding methods often fail to meet the precision requirements. Therefore, for the fold design of loop antenna reflectors, further research is needed to develop more reasonable and controllable folding methods to improve the surface accuracy and deployment reliability of the antenna reflector. Summary of the Invention
[0005] To address the aforementioned deficiencies in the prior art, the present invention aims to provide a method and apparatus for generating fold lines on an antenna reflector that takes into account the thickness of the thin film. By using geodesics as fold lines and considering the thickness compensation of the thin film, the fold lines enable the thin film to be folded and rotated in an orderly manner around the central hub of the reflector along the fold lines, thereby improving the folding accuracy and controllability of the antenna reflector.
[0006] The present invention is achieved through the following technical solution.
[0007] One aspect of the present invention provides a method for generating crease lines on an antenna reflector surface, taking into account the thickness of a thin film, comprising: Obtain the structural parameters of the antenna reflector crease line; Based on the structural parameters of the antenna reflector crease line, MATLAB is used to construct the unfolded crease line of the antenna reflector with the center hub node coordinates of the reflector center centered on the thin film thickness. The calculation does not consider the thickness of the thin film and focuses on the location of the fold line nodes in the folded state of the antenna reflector. Based on the structural parameters of the antenna reflector fold line, thickness compensation is performed on the node positions of the fold line in the folded state of the antenna reflector without considering the film thickness. Based on the thin film thickness of the antenna reflector crease line structure parameter, thickness compensation is performed on the crease line nodes of the antenna reflector in the unfolded state without considering the thin film thickness, so as to obtain the valley crease node position and peak crease node position of the antenna reflector in the unfolded state after thickness compensation. Based on the constructed center hub node of the reflector, the valley crease node position and peak crease node position of the antenna reflector in the unfolded state after thickness compensation, the crease line of the antenna reflector in the unfolded state considering the thin film thickness is obtained.
[0008] Preferably, the structural parameters of the antenna reflector crease line include the antenna reflector aperture, focal length, thin film thickness, and center hub shape and size.
[0009] Preferably, the unfolded crease line of the antenna reflector surface, which does not consider the thin film thickness, is constructed using MATLAB, including: Construct a planar center hub, project each vertex of the planar center hub onto the reflecting surface, obtain the corresponding coordinates of each node of the center hub of the reflecting surface, select each pair of adjacent vertices of the center hub of the reflecting surface, and connect the adjacent vertices using geodesics; Extend the geodesic line at one end of the center hub of the reflector to the edge of the film to form a complete valley fold line; Generate a peak fold line between two adjacent valley fold lines; Circular crease lines are generated based on valley crease lines and peak crease lines.
[0010] Preferably, generating a peak fold line between two adjacent valley fold lines includes: In the tangential plane of each node where peak creases need to be generated, determine the tangential unit vectors of the two adjacent valley creases respectively. Add and normalize the unit vectors of two adjacent valley folds to obtain the angle bisector direction. ; Starting from the node where the peak crease needs to be generated, a geodesic is generated on the parabola along the direction of the angle bisector. This geodesic is the peak crease.
[0011] Preferably, circumferential crease lines are generated based on valley crease lines and peak crease lines, including: Based on the valley folds The projected length on the plane is divided into several equal segments; A vertical geodesic line is generated along the direction orthogonal to the valley fold line in the tangent plane of the segment point, and extends to intersect with the geodesic line of the corresponding peak fold line to form an intersection point. The resulting vertical geodesic line is the circumferential fold line.
[0012] Preferably, the calculation of the fold line node position of the antenna reflector without considering the thin film thickness includes: Ignoring the film thickness, the film is folded along the generated crease lines, with the central hub of the reflective surface remaining unchanged. Using the edge of the central hub of the reflective surface as the folding axis, it is folded upwards by 90°. The position of the crease line node of the folded state of the reflective surface is obtained by using the rotation matrix without considering the film thickness.
[0013] Preferably, thickness compensation is performed on the fold line node positions of the antenna reflector without considering the thin film thickness, including: By introducing the film thickness, compensation is performed on the node position of the folded crease line of the antenna reflector without considering the film thickness. The compensation distance is calculated to obtain the node position of the folded crease line of the reflector after compensation.
[0014] Preferably, thickness compensation is performed on the unfolded crease line nodes of the antenna reflector without considering the thin film thickness, including: Calculate the location of the valley crease node in the unfolded state of the antenna reflector after thickness compensation; Calculate the location of the peak crease node in the unfolded state of the antenna reflector after thickness compensation.
[0015] Preferably, the unfolded crease line of the antenna reflector considering the thin film thickness includes: Based on the constructed center hub node of the reflector, the location of the valley crease node and the peak crease node of the antenna reflector after thickness compensation, geodesics are used to connect each node in sequence to obtain the crease line of the antenna reflector in the unfolded state considering the film thickness.
[0016] Another aspect of the present invention provides an antenna reflector crease line generation apparatus that takes into account the film thickness of the method, comprising: The acquisition module is used to acquire the structural parameters of the antenna reflector crease line. The module is used to construct, using MATLAB, the unfolded crease line of the antenna reflector centered on the hub node coordinates of the reflector center, without considering the film thickness; The calculation module is used to calculate the node positions of the fold lines of the antenna reflector without considering the thickness of the thin film. The folded state thickness compensation module is used to compensate for the thickness of the fold line node positions of the antenna reflector without considering the film thickness. The unfolded state thickness compensation module is used to perform thickness compensation on the unfolded state crease line nodes of the antenna reflector without considering the film thickness, and obtain the valley crease node position and peak crease node position of the unfolded state antenna reflector after thickness compensation. The generation module is used to generate the unfolded state fold lines of the antenna reflector, taking into account the thin film thickness, by sequentially connecting each node with geodesics based on the constructed center hub node of the reflector, the valley fold node position of the antenna reflector after thickness compensation, and the peak fold node position.
[0017] The present invention, by adopting the above technical solution, has the following beneficial effects: 1. The crease lines of the thin-film reflective surface designed by the method of this invention use geodesics as crease lines. Since there is no truly "straight line" between any two points on a parabola, a geodesic (i.e., the shortest path on the curved surface) is used as a substitute for a "straight line." Therefore, using geodesics for the crease lines on the parabola conforms to the basic principles of curved surface geometry, ensuring that the material will not be stretched or compressed when moving along the geodesic direction during the folding process, thus maintaining the geometric integrity and mechanical rationality of the structure.
[0018] 2. The crease lines designed by the method of the present invention enable the film to rotate and fold in an orderly manner around the central hub of the reflective surface along the crease lines, improving the controllability of folding. At the same time, since the crease lines take into account the thickness of the film, they can effectively reduce the generation of film wrinkles during folding and ensure the surface accuracy of the film reflective surface.
[0019] 3. The reflective surface crease line designed by the method of the present invention takes into account the influence of thickness on the crease line, and can design creases for films of different thicknesses.
[0020] 4. The thin-film reflective surface crease design method proposed in this invention is simple and effective, and can be achieved by adjusting the thin-film aperture... D ,focal length f ,thickness t Parametric modeling of the shape and size of the center hub enables rapid design considering the crease lines of the thickness antenna reflector. Attached Figure Description
[0021] The accompanying drawings, which are included to provide a further understanding of the invention and form part of this application, do not constitute an undue limitation of the invention. In the drawings: Figure 1 This is a technical flowchart of a method and apparatus for generating crease lines on an antenna reflector surface that takes into account the thickness of a thin film, according to the present invention. Figure 2 This is a schematic diagram of the generation of the central hub of the reflective surface without considering the film thickness in this invention; Figure 3 This is a schematic diagram of the valley crease on the reflective surface, without considering the film thickness, in this invention; Figure 4 This is a schematic diagram of the reflective surface peak crease without considering the film thickness in this invention; Figure 5 This is a schematic diagram of the circumferential crease on the reflective surface, without considering the film thickness, according to the present invention; Figure 6 This is a schematic diagram of the folded state of the reflective surface without considering the film thickness in this invention; Figure 7 This is a schematic diagram of the cross-section of the reflective surface in a folded state considering the film thickness in this invention; Figure 8 This is a schematic diagram of the inner angle of the center hub of the reflective surface of the present invention; Figure 9 This is a schematic diagram of the folded peak and valley folds of the present invention; Figure 10 This is a top view of the folded state of the thin film considering the film thickness in this invention; Figure 11 This is a schematic diagram of the direction of thin film thickness node compensation in this invention; Figure 12 This is a schematic diagram of the four-ring creases on the reflective surface considering the film thickness in this invention; Figure 13 This is a schematic diagram of the unfolding and retracting of the four-ring crease film of the present invention; Figure 14 This is a schematic diagram of the six-ring creases on the reflective surface considering the film thickness in this invention; Figure 15 This is a schematic diagram of the device for generating crease lines on a reflective surface considering the thickness of a thin film, as per the present invention. Detailed Implementation
[0022] The present invention will now be described in detail with reference to the accompanying drawings and specific embodiments. The illustrative embodiments and descriptions of the present invention are used to explain the present invention, but are not intended to limit the present invention.
[0023] like Figure 1 As shown, a method and apparatus for generating crease lines on an antenna reflector considering thin film thickness includes the following steps: S101, Determine the structural parameters of the antenna reflector.
[0024] Geometric parameters include aperture D ,focal length f Thin film thickness t The shape and size of the center hub.
[0025] S102, using MATLAB to construct the unfolded crease line of the antenna reflector surface centered on the hub node coordinates of the reflector surface, without considering the film thickness.
[0026] Using MATLAB to generate crease lines in the unfolded state of an antenna reflector without considering thin-film thickness, specifically including: (1) Establish the planar center hub, project each vertex of the planar center hub onto the reflecting surface, obtain the corresponding coordinates of each node of the reflecting surface center hub, and save it as hexagon_vertices.txt. Select each pair of adjacent vertices of the reflecting surface center hub and connect them using geodesics.
[0027] (2) Extend the geodesic line at one end of the center hub of the reflector to the edge of the film to form a complete valley fold line.
[0028] (3) Based on the valley fold layout, further generate the peak fold line between two adjacent valley fold lines.
[0029] For each node that needs to generate peak folds, firstly, within the tangential plane of that node, determine the tangential unit vectors of the two adjacent valley folds respectively; Adding these two unit vectors and normalizing them, we obtain the direction of the angle bisector: Angle bisector direction The calculation formula is:
[0030] In the formula: , These are the tangential unit vectors of the two valley folds, respectively.
[0031] Finally, starting from this node, a geodesic is generated on the parabola along the direction of the angle bisector. This geodesic is the peak fold line.
[0032] (4) Generate circumferential fold lines based on valley fold lines and peak fold lines.
[0033] Based on the valley folds The projected length on the plane is divided into several equal segments; for each segment point, it is saved as valley_segments.txt; along the direction orthogonal to the valley fold direction in the tangent plane of the segment point, a vertical geodesic is generated, and it is extended to intersect with the geodesic of the corresponding peak fold to form an intersection point, which is saved as _points.txt; the generated vertical geodesic is the circumferential fold line.
[0034] S103, calculate the location of the fold line node of the antenna reflector without considering the thickness of the thin film.
[0035] The calculation of the nodal points of the fold line in the folded state of the antenna reflector, without considering the thin film thickness, includes: Ignoring the film thickness, the reflective surface is folded along the crease lines generated in step 2, with the central hub of the reflective surface remaining unchanged. Using the edge of the central hub of the reflective surface as the folding axis, it is folded upwards by 90°. The position of the crease line node of the folded state of the reflective surface without considering the film thickness can be obtained using the rotation matrix and saved as fold_points.txt.
[0036] S104 introduces thin film thickness and performs thickness compensation for the node positions of the fold line in the folded state of the antenna reflector without considering the thin film thickness.
[0037] Thickness compensation is performed at the fold line node positions of the antenna reflector without considering the thin film thickness, including the following steps: Introducing thin film thickness, compensation is performed on the fold line node positions of the antenna reflector surface in a folded state, even if the thin film thickness is not considered. The compensation distance is calculated to obtain the compensated fold line node positions of the reflector surface in a folded state, which are then saved as fold_points_compensated.txt. The calculation formula is as follows:
[0038] In the formula: The horizontal component of the film thickness. For film thickness, For thin film focal length, Uncompensated thickness node coordinate, The center hub angle of the reflector.
[0039] S105, perform thickness compensation on the unfolded state crease line node of the antenna reflector without considering the thin film thickness, to obtain the node position of the unfolded state of the antenna reflector considering the thin film thickness.
[0040] Thickness compensation is performed on the unfolded crease line nodes of the antenna reflector without considering the thin film thickness to obtain the node positions of the unfolded antenna reflector considering the thin film thickness, including: (1) Calculate the position of the valley crease node in the unfolded state of the antenna reflector after thickness compensation, and save it as valley_segments_compensated.txt.
[0041] Calculate the thickness compensation amount of the valley crease node in the unfolded state of the antenna reflector. :
[0042] In the formula: i Number the nodes of the valley crease in the unfolded state.
[0043] (2) Calculate the position of the peak fold node of the antenna reflector after thickness compensation and save it as compensated_points.txt.
[0044] Calculate the thickness compensation amount of the antenna reflector's unfolded state peak crease node. :
[0045] In the formula: j Number the nodes of the unfolded state peak crease.
[0046] S106. Based on the constructed center hub node of the reflector, the valley crease node position and the peak crease node position of the antenna reflector in the unfolded state after thickness compensation, the unfolded state crease line of the antenna reflector considering the thin film thickness is obtained.
[0047] By connecting the center hub node of the reflector, the compensated valley crease node, and the compensated peak crease node in sequence using geodesics, the unfolded crease line of the antenna reflector considering the thin film thickness is finally obtained.
[0048] The advantages of this invention can be further illustrated by the following simulation experiments: 1. Determine the structural parameters of the antenna reflector. caliber ,focal length Thin film thickness The center hub is a regular hexagon, and the radius of the inscribed circle of the regular hexagon is... .
[0049] 2. Constructing the unfolded fold lines of the antenna reflector without considering the thin film thickness. Projecting each vertex of the planar center hub onto the reflecting surface yields the corresponding coordinates of each node of the center hub on the reflecting surface, which are then saved as hexagon_vertices.txt. Each pair of adjacent vertices of the center hub on the reflecting surface is selected and connected using geodesics. The process of generating the center hub on the reflecting surface is as follows: Figure 2 As shown; Extend the geodesic line at one end of the center hub of the reflector to the edge of the film to form a complete valley crease line, such as... Figure 3 As shown; Based on the valley crease layout, the start and end points of the peak creases are further determined, such as... Figure 4 As shown.
[0050] For each node where peak folds need to be generated, firstly, within the tangential plane of that node, determine the tangential unit vectors of the two adjacent valley folds. and Then, add these two unit vectors and normalize them to obtain the direction of the angle bisector. Finally, starting from this node, a geodesic is generated on the parabola along the angle bisector direction. This geodesic is the peak fold line.
[0051] Based on the valley folds The projected length on the plane is divided into several equal segments. For each segment point, it is saved as valley_segments.txt. A perpendicular geodesic is generated along a direction orthogonal to the valley fold edge in the tangent plane of that segment point, extending to intersect with the geodesic of the corresponding peak fold, forming an intersection point, and saved as _points.txt. For example... Figure 5 As shown, the generated vertical geodesic lines are the circumferential crease lines. At this point, the crease lines of the antenna thin film reflector surface unfolded without considering the thin film thickness have been generated.
[0052] 3. Calculate the nodal positions of the fold lines on the antenna reflector surface in a folded state, without considering the thin film thickness. like Figure 6 As shown, since the central hub, whether planar or parabolic, does not affect the position coordinates of the film folded node, a planar surface is used as the central hub, and points on the planar surface... O Draw the center point, Node coordinates can be easily obtained. Node coordinates are , Node coordinates are , Node coordinates are , Node coordinates are , R Let be the radius of the inscribed circle of the central hub. This allows us to calculate the positions of all fold line nodes on the reflective surface in folded states, regardless of the film thickness, and save them as fold_points.txt.
[0053] 4. Perform thickness compensation at the fold line node positions of the antenna reflector surface without considering the thin film thickness. Introducing film thickness, to visually demonstrate its impact on the crease lines, the film is magnified, and the folded state of the reflective surface considering thickness is shown below. Figure 7 As shown, Equivalent to the horizontal component of film thickness, As endpoints The normal at the point and in parallel to the axis The angle between the axes and the straight lines, The thickness is the thin film thickness.
[0054] Suppose the equation of the parabola is known to be... , The coordinates of the point are Then the gradient of the parabola equation So point Normal vector at point ,exist parallel to the axis Direction vector of the axis line Therefore, the included angle can be obtained. cosine included angle Therefore, the horizontal component of the film thickness .
[0055] At the apex of the hub at the center of the reflective surface, the direction of the broken line changes from the tangent of the previous line to the tangent of the next line, causing the path to "turn," resulting in a compensation amplification phenomenon at the apex. For example... Figure 8 As shown, since the center hub of the reflector is not a regular hexagon, but a "regular hexagon" composed of geodesics, the tangential vectors of two adjacent geodesics with creases are taken. , Project it onto the tangent plane at the vertex. (For geodesics, the tangent is already in the tangent plane), the rotation angle is defined as... Compensation amplification introduced at the center hub apex of the reflector surface. .
[0056] Figure 9 This is a schematic diagram of peak folds and valley folds, where, For nodes on the crease of the peak, For nodes on the valley fold, The compensation distances of the nodes are respectively , The compensation thickness of the nodes are respectively .
[0057] Figure 9 correspond Figure 10 Place Nodes. Thickness compensation is based on node numbers, specifically node compensation on peak creases. Thickness, valley crease node compensation Thickness, of which This allows us to obtain the thickness compensation for all nodes on the peak and valley folds. Since the reflecting surface does not exhibit wrinkles or relaxation during the folding process, the compensation distance in the folded state is the same as the compensation distance in the unfolded state.
[0058] After obtaining thickness compensation, it is also necessary to clarify the direction of compensation. Figure 11 For reflecting surface In the partially unfolded state, the circumferential crease and the center hub of the reflective surface remain perpendicular after folding, ensuring that the reflective surface is compacted after folding. Therefore, the compensation direction is the direction of the arrow on the circumferential crease shown in the figure.
[0059] 5. Perform thickness compensation for the unfolded crease line nodes of the antenna reflector without considering the thin film thickness. Once the compensation distance and direction of the node are obtained, compensation can be performed on nodes with unfolded creases regardless of thickness. Because... The horizontal component of the equivalent thickness is compensated along the direction of the arrow. Since the node positions are not on the reflective surface, the nodes need to be mapped onto the reflective surface to obtain the positions of the valley crease and peak crease nodes in the expanded state of the film after thickness compensation, and save them as valley_segments_compensated.txt and compensated_points.txt.
[0060] 6. Obtain the unfolded crease of the reflective surface considering thickness. While maintaining the connection method unchanged, the center hub node of the reflector surface in the hexagon_vertices.txt file, the valley crease node in the valley_segments_compensated.txt file, and the peak crease node in the compensated_points.txt file are connected using geodesics to finally obtain the unfolded crease of the reflector surface considering thickness, such as... Figure 12 As shown.
[0061] In this example, the proposed crease line generation method was used to design creases on the film, and five expansion and contraction experiments were conducted on the film. The initial surface accuracy and the surface accuracy of the film after five expansions and contractions are shown in Table 1. The expansion and contraction of the film are as follows: Figure 13 As shown.
[0062] Table 1. Initial surface accuracy and surface accuracy of the thin film after five unfolding cycles.
[0063] As demonstrated by the above experiments and embodiments, this invention effectively solves the problem of generating crease lines on antenna reflectors that takes into account film thickness. The method of this invention can generate crease lines on the reflector surface relatively quickly and accurately. Because the bending stiffness decreases at the creases, it is easier to fold the film along the crease lines during subsequent folding, improving folding controllability. Simultaneously, it effectively reduces the generation of film wrinkles, ensuring the surface accuracy of the film.
[0064] The layout of the crease lines can be altered by changing the size of the center hub, changing the radius of the inscribed circle of the regular hexagon to... Keeping the other parameters unchanged, a new reflective surface crease line can be obtained, such as... Figure 14 As shown.
[0065] like Figure 15 As shown, the present invention further provides an antenna reflector crease line generation device 100 considering thin film thickness, comprising: The acquisition module 110 is used to acquire the structural parameters of the antenna reflector fold line. Module 120 is used to construct the unfolded fold lines of an antenna reflector without considering the thickness of the thin film using MATLAB. Calculation module 130 is used to calculate the node positions of the fold line in the folded state of the antenna reflector without considering the thin film thickness; The folded state thickness compensation module 140 is used to perform thickness compensation on the folded state crease line node position of the antenna reflector without considering the film thickness. The unfolded state thickness compensation module 150 is used to perform thickness compensation on the unfolded state crease line nodes of the antenna reflector without considering the film thickness, so as to obtain the valley crease node position and peak crease node position of the unfolded state antenna reflector after thickness compensation. The generation module 160 is used to generate the antenna reflector unfolded state fold line considering the thin film thickness by sequentially connecting each node with geodesic lines based on the constructed reflector center hub node, the valley fold node position and the peak fold node position of the antenna reflector after thickness compensation.
[0066] This invention is not limited to the above embodiments. Based on the technical solutions disclosed in this invention, those skilled in the art can make some substitutions and modifications to some of the technical features without creative effort, and all such substitutions and modifications are within the protection scope of this invention.
Claims
1. A method for generating crease lines on an antenna reflector surface considering thin film thickness, characterized in that, include: Obtain the structural parameters of the antenna reflector crease line; Based on the structural parameters of the antenna reflector crease line, MATLAB is used to construct the unfolded crease line of the antenna reflector with the center hub node coordinates of the reflector center centered on the thin film thickness. The calculation does not consider the thickness of the thin film and focuses on the location of the fold line nodes in the folded state of the antenna reflector. Based on the structural parameters of the antenna reflector fold line, thickness compensation is performed on the node positions of the fold line in the folded state of the antenna reflector without considering the film thickness. Based on the thin film thickness of the antenna reflector crease line structure parameter, thickness compensation is performed on the crease line nodes of the antenna reflector in the unfolded state without considering the thin film thickness, so as to obtain the valley crease node position and peak crease node position of the antenna reflector in the unfolded state after thickness compensation. Based on the constructed center hub node of the reflector, the valley crease node position and peak crease node position of the antenna reflector in the unfolded state after thickness compensation, the crease line of the antenna reflector in the unfolded state considering the thin film thickness is obtained.
2. The method for generating antenna reflector crease lines considering thin film thickness according to claim 1, characterized in that, The structural parameters of the antenna reflector crease line include the antenna reflector aperture, focal length, thin film thickness, and the shape and size of the central hub.
3. The method for generating antenna reflector crease lines considering thin film thickness according to claim 1, characterized in that, Constructing the unfolded crease lines of an antenna reflector surface without considering thin-film thickness using MATLAB, including: Construct a planar center hub, project each vertex of the planar center hub onto the reflecting surface, obtain the corresponding coordinates of each node of the center hub of the reflecting surface, select each pair of adjacent vertices of the center hub of the reflecting surface, and connect the adjacent vertices using geodesics; Extend the geodesic line at one end of the center hub of the reflector to the edge of the film to form a complete valley fold line; Generate a peak fold line between two adjacent valley fold lines; Circular crease lines are generated based on valley crease lines and peak crease lines.
4. The method for generating antenna reflector crease lines considering thin film thickness according to claim 3, characterized in that, Generate a peak fold line between two adjacent valley fold lines, including: In the tangential plane of each node where peak creases need to be generated, determine the tangential unit vectors of the two adjacent valley creases respectively. Add and normalize the unit vectors of two adjacent valley folds to obtain the angle bisector direction. The calculation formula is: In the formula: , These are the tangential unit vectors of the two valley folds, respectively; Starting from the node where the peak crease needs to be generated, a geodesic is generated on the parabola along the direction of the angle bisector. This geodesic is the peak crease.
5. The method for generating antenna reflector crease lines considering thin film thickness according to claim 3, characterized in that, Circular crease lines are generated based on valley crease lines and peak crease lines, including: Based on the valley folds The projected length on the plane is divided into several equal segments; A vertical geodesic line is generated along the direction orthogonal to the valley fold line in the tangent plane of the segment point, and extends to intersect with the geodesic line of the corresponding peak fold line to form an intersection point. The resulting vertical geodesic line is the circumferential fold line.
6. The method for generating antenna reflector crease lines considering thin film thickness according to claim 1, characterized in that, The calculation of the nodal points of the fold line in the folded state of the antenna reflector, without considering the thin film thickness, includes: Ignoring the film thickness, the film is folded along the generated crease lines, with the central hub of the reflective surface remaining unchanged. Using the edge of the central hub of the reflective surface as the folding axis, it is folded upwards by 90°. The position of the crease line node of the folded state of the reflective surface is obtained by using the rotation matrix without considering the film thickness.
7. The method for generating antenna reflector crease lines considering thin film thickness according to claim 1, characterized in that, Thickness compensation is performed on the nodal positions of the fold lines of the antenna reflector without considering the thin film thickness, including: By introducing the film thickness, the position of the fold line node of the antenna reflector without considering the film thickness is compensated, the compensation distance is calculated, and the position of the fold line node of the reflector after compensation is obtained. Calculate compensation distance : In the formula: The horizontal component of the film thickness. For film thickness, For thin film focal length, Uncompensated thickness node coordinate, The center hub angle of the reflector.
8. The method for generating antenna reflector crease lines considering thin film thickness according to claim 1, characterized in that, Thickness compensation is performed on the unfolded crease line nodes of the antenna reflector without considering the thin film thickness, including: Calculate the thickness compensation amount of the valley crease node in the unfolded state of the antenna reflector. : In the formula: i Number the nodes of the valley crease. To compensate for distance, s The horizontal component of the film thickness. The center hub angle of the reflector; Calculate the thickness compensation amount of the antenna reflector's unfolded state peak crease node. : In the formula: j Number the nodes of the unfolded state peak crease.
9. The method for generating antenna reflector crease lines considering thin film thickness according to claim 1, characterized in that, The fold lines of the antenna reflector in the unfolded state, taking into account the thin film thickness, are obtained, including: Based on the constructed center hub node of the reflector, the location of the valley crease node and the peak crease node of the antenna reflector after thickness compensation, geodesics are used to connect each node in sequence to obtain the crease line of the antenna reflector in the unfolded state considering the film thickness.
10. An antenna reflector crease line generation apparatus considering thin film thickness according to any one of claims 1-9, characterized in that, include: The acquisition module is used to acquire the structural parameters of the antenna reflector crease line. The module is used to construct, using MATLAB, the unfolded crease line of the antenna reflector centered on the hub node coordinates of the reflector center, without considering the film thickness; The calculation module is used to calculate the node positions of the fold lines of the antenna reflector without considering the thickness of the thin film. The folded state thickness compensation module is used to compensate for the thickness of the fold line node positions of the antenna reflector without considering the film thickness. The unfolded state thickness compensation module is used to perform thickness compensation on the unfolded state crease line nodes of the antenna reflector without considering the film thickness, and obtain the valley crease node position and peak crease node position of the unfolded state antenna reflector after thickness compensation. The generation module is used to generate the unfolded state fold lines of the antenna reflector, taking into account the thin film thickness, by sequentially connecting each node with geodesics based on the constructed center hub node of the reflector, the valley fold node position of the antenna reflector after thickness compensation, and the peak fold node position.