A method for reflector antenna actuator placement based on best fit accuracy

Abstract

The application discloses a kind of based on best fitting accuracy reflector antenna actuator layout method, comprising: obtaining the average of reflector deformation under the condition of looking up and pointing flat, and the deformation of reflector at different pitch angles is pre-adjusted;The pre-adjusted deformation reflector is obtained by translation and rotation to best approximate ideal reflector, obtain the maximum error distribution range, determine the layout scheme of actuator corresponding to reflector;Determine the adjustment target surface when reflector antenna is in the condition of looking up, obtain the adjustment amount of actuator when reflector antenna is in the condition of looking up;Obtain the adjustment accuracy when reflector antenna is in the condition of looking up;Update the preset error threshold value, and correspondingly update adjustment accuracy, until the curve of adjustment accuracy under all conditions with preset error threshold value is obtained;According to the adjustment accuracy of engineering requirement, the corresponding error threshold value is obtained on the curve, and the layout scheme of actuator is obtained.The application can obtain the best actuator layout scheme.

Description

Technical Field

[0001] This invention belongs to the field of large reflector antenna technology, specifically relating to a reflector antenna actuator layout method based on optimal fitting accuracy. Background Technology

[0002] Large reflector antennas have been widely used in radio astronomy and deep space exploration due to their advantages such as simple structure, high gain, and narrow beamwidth. As reflector antennas operate at high frequencies, the requirements for reflector surface precision are becoming increasingly stringent. However, large-aperture reflector antennas experience significant gravitational deformation, and the reflector surface is also subject to external loads such as temperature and wind, making it difficult to meet surface precision requirements. Therefore, deformation of the reflector surface leads to a considerable deterioration in its electromagnetic performance.

[0003] To improve the surface accuracy of large reflector antennas, an active primary reflector antenna is typically constructed by mounting four actuators at the four corners of the panel. For example, the 100m x 110m Green Bank Telescope (GBT) in a certain country has 2004 panels supported by 2209 actuators; the 65m Tianma Telescope in Shanghai has 1008 panels supported by 1104 actuators. These antennas can slightly alter the shape of the reflector by adjusting the actuators mounted on the panels to improve the surface accuracy under the influence of gravity and environmental factors. A common feature of these antennas is that all panels of the reflector are active panels, each equipped with an actuator, resulting in a large number of actuators and high cost. To address the above issues, assuming a traditional non-active reflector antenna has a surface accuracy of 0.5mm, using an active reflector can improve the surface accuracy to 0.1mm. If the required surface accuracy is 0.2mm, the traditional reflector cannot meet the accuracy requirement, and an active reflector with an accuracy of 0.1mm must be used in engineering. Therefore, the actual accuracy sometimes exceeds the required accuracy, resulting in surface accuracy overshoot and making the cost of the active reflector antenna higher.

[0004] Therefore, there is an urgent need to provide a method for the layout of reflector antenna actuators based on the best fitting accuracy, so as to solve the problems of excessive surface accuracy interference, large number of actuators, and high cost caused by the full arrangement of actuators in reflector antennas. Summary of the Invention

[0005] To address the aforementioned problems in the prior art, this invention provides a reflector antenna actuator layout method based on optimal fitting accuracy. The technical problem to be solved by this invention is achieved through the following technical solution:

[0006] In a first aspect, the present invention provides a method for arranging reflector antenna actuators based on optimal fitting accuracy, comprising:

[0007] Based on the finite element model of the reflector antenna, the average value of the reflector deformation under the upward and horizontal conditions is obtained, and the reflector deformation at different elevation angles is pre-adjusted to obtain the pre-adjusted deformed reflector.

[0008] The pre-adjusted deformed reflective surface is translated and rotated to obtain the best approximation of the ideal reflective surface, and the best fitting axial error distribution of the best approximation of the ideal reflective surface to the ideal reflective surface is obtained at different pitch angles.

[0009] The maximum error distribution range is obtained based on the best-fit axial error distribution;

[0010] By comparing the preset error threshold with the maximum error distribution range, the layout scheme of the actuator corresponding to the reflective surface is determined.

[0011] Based on the actuator layout scheme, determine the adjustment target surface when the reflector antenna is in the upward-facing condition. Based on the adjustment target surface and the ideal reflector surface, obtain the adjustment amount of the actuator when the reflector antenna is in the upward-facing condition.

[0012] Based on the adjustment amount of the actuator and the finite element model, the adjustment accuracy of the reflector antenna when it is in the upward-facing condition is obtained.

[0013] Update the preset error threshold and the corresponding adjustment accuracy until the curve of the adjustment accuracy changing with the preset error threshold under all working conditions is obtained.

[0014] Based on the required adjustment accuracy for the project, the corresponding critical error value is obtained on the curve, and the layout scheme of the actuator is obtained based on the critical error value.

[0015] The beneficial effects of this invention are:

[0016] 1. The present invention provides a method for arranging actuators for a reflector antenna based on the best fitting accuracy. It utilizes the pre-adjusted deformable reflector to best approximate the ideal reflector. According to the maximum error range of the best fitting axial error distribution under different working conditions, actuators are arranged if the error exceeds the critical value, otherwise no actuators are arranged. The reflector is divided into two regions, A and B, which solves the problems of too many actuators and high cost caused by arranging actuators on the entire reflector panel.

[0017] 2. The present invention provides a method for arranging actuators for a reflector antenna based on optimal fitting accuracy. In order to further improve the surface accuracy of the reflector, after dividing the reflector panel into two regions, A and B, the region B, where no actuators are arranged, is once again optimally approximated to the ideal reflector. The difference from the above is that the nodes are changed to nodes where no actuators are arranged, so that region B is as close to the ideal reflector as possible, while region A can adjust the deformed panel to the ideal reflector through the actuators on the panel.

[0018] 3. The present invention provides a method for the layout of reflector antenna actuators based on the best fitting accuracy. By changing the error critical value, the corresponding reflector surface accuracy can be calculated, and the curve of the reflector surface accuracy changing with the error critical value can be plotted. In engineering, the error critical value can be quickly determined according to the surface accuracy requirements, and then the optimal actuator layout scheme under the reflector adjustment accuracy requirements can be determined.

[0019] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. Attached Figure Description

[0020] Figure 1 This is a flowchart of a reflector antenna actuator layout method based on optimal fitting accuracy provided in an embodiment of the present invention;

[0021] Figure 2 This is another flowchart of the reflector antenna actuator layout method based on optimal fitting accuracy provided in the embodiments of the present invention;

[0022] Figure 3 This is a schematic diagram of a finite element model of a reflector antenna provided in an embodiment of the present invention;

[0023] Figure 4 This is a schematic diagram of the optimal approximation process provided in an embodiment of the present invention;

[0024] Figure 5 This is a schematic diagram of an actuator layout scheme provided in an embodiment of the present invention;

[0025] Figure 6 This is a schematic diagram of the reflective surface adjustment process provided in an embodiment of the present invention;

[0026] Figure 7 This is a surface error cloud map of the reflective surface under upward and horizontal conditions provided in the embodiments of the present invention;

[0027] Figure 8 This is a schematic diagram of the curve showing the change of the reflective surface adjustment accuracy with the error critical value provided in an embodiment of the present invention. Detailed Implementation

[0028] The present invention will be further described in detail below with reference to specific embodiments, but the implementation of the present invention is not limited thereto.

[0029] Please see Figure 1 and Figure 2 , Figure 1 This is a flowchart of a reflector antenna actuator layout method based on optimal fitting accuracy provided in an embodiment of the present invention. Figure 2This is another flowchart of the reflector antenna actuator layout method based on optimal fitting accuracy provided in this embodiment of the invention. The reflector antenna actuator layout method based on optimal fitting accuracy provided by this invention includes:

[0030] S101. Based on the finite element model of the reflector antenna, obtain the average value of the reflector deformation under the upward and downward conditions, and pre-adjust the reflector deformation at different elevation angles to obtain the pre-adjusted deformed reflector.

[0031] Specifically, in this embodiment, firstly, a finite element model of the reflector antenna is constructed based on its structural parameters and material properties. (See [link to relevant documentation]). Figure 3 , Figure 3 This is a schematic diagram of a finite element model of a reflector antenna provided in an embodiment of the present invention; wherein, the structural parameters of the reflector antenna include an antenna panel, reinforcing ribs, back frame, central body, sub-reflector, sub-reflector legs and base, and the material properties of the reflector antenna include density, Poisson's ratio, elastic modulus and coefficient of thermal expansion.

[0032] Secondly, the average deformation of the reflector surface under both upward and horizontal operating conditions is obtained, and the deformation of the reflector surface at different elevation angles is pre-adjusted to obtain the pre-adjusted deformed reflector surface. For the finite element model of the reflector antenna, according to the upward and horizontal operating conditions under actual service conditions, gravity loads are applied to the finite element model respectively, and the deformation of the reflector panel nodes under the two service conditions is obtained. The average value is then calculated, and the deformation of the reflector surface is pre-adjusted based on the average value to obtain the pre-adjusted deformed reflector surface, specifically:

[0033] With the reflector antenna in an upward-facing configuration, a gravitational acceleration G is applied to the normal direction of the finite element model, resulting in the deformation of the reflector panel nodes. The reflective surface comprises multiple reflective surface branches, and each reflective surface branch comprises multiple nodes. A column vector consisting of the nodal deformations of all the reflector supports. This indicates a working condition where the worker is looking up at the sky.

[0034] When the reflector antenna is in a flat-pointing condition, a gravitational acceleration of G is applied to the normal direction of the finite element model, and the deformation of the reflector panel nodes is obtained. , A column vector consisting of the nodal deformations of all the reflector supports. This indicates a working condition where the worker is looking up at the sky.

[0035] Based on the deformation of the reflective panel nodes and deformation of reflective panel nodes The average deformation of the reflecting surface under the upward and downward working conditions was obtained. Its expression is:

[0036] ;

[0037] The average value of the reflector deformation under both upward and downward working conditions is used. For pitch angle is The deformation of the reflecting surface is pre-adjusted to obtain the pre-adjusted nodal deformation of the reflecting surface. Its expression is:

[0038] ;

[0039] in, Indicates the first One pitching condition, , This indicates the total number of pitch conditions. To pre-adjust the pitch angle is Deformation of the reflective surface nodes at that time;

[0040] The pre-adjusted deformed reflective surface is obtained by pre-adjusting the deformation of the reflective surface nodes at different pitch angles.

[0041] S102. The pre-adjusted deformed reflective surface is translated and rotated to obtain the best approximation of the ideal reflective surface, and the best fitting axial error distribution of the best approximation of the ideal reflective surface to the ideal reflective surface is obtained at different pitch angles.

[0042] Specifically, in this embodiment, please refer to Figure 4 , Figure 4 This is a schematic diagram of the optimal approximation process provided by an embodiment of the present invention; a first mathematical model is constructed from the pre-adjusted deformable reflecting surface to the optimally approximating ideal reflecting surface, and a first approximation parameter is obtained. The first approximation parameter includes the pre-adjusted deformable reflecting surface along... Translation of the axis ,along Translation of the axis ,along Translation of the axis ,along Rotation angle of the axis and along Rotation angle of the axis The expression for the first mathematical model is:

[0043] ;

[0044] ;

[0045] ;

[0046] in, Represents the column vector of the first optimization variable. This represents the first optimization objective. This represents the total number of nodes on the reflecting surface. This indicates the first pre-adjusted deformable reflective surface panel. The coordinates of each node, Represents the first ideal reflective surface panel. The coordinates of each node, Represents the column vector of the first optimization variable The lower limit, Represents the column vector of the first optimization variable The upper limit, Indicates node coordinates around The transformation matrix of the axis, Indicates node coordinates around The transformation matrix of the axis;

[0047] Based on the first approximation parameter, the pre-adjusted deformable reflective surface is translated and rotated to obtain the best approximation of the ideal reflective surface.

[0048] The expression for obtaining the best-fit axial error distribution of the ideal reflecting surface at different pitch angles is:

[0049] ;

[0050] in, This indicates that the best approximation of the ideal reflecting surface is relative to the first ideal reflecting surface. The displacement vector of each node.

[0051] S103. Based on the best-fit axial error distribution, obtain the maximum error distribution range.

[0052] Specifically, in this embodiment, obtaining the optimal approximation of the ideal reflecting surface relative to the first ideal reflecting surface... Each node Under different pitch conditions displacement vectors , If the displacement vector If the axial component is positive relative to the ideal reflecting surface, then it is denoted as . If the displacement vector If the axial component of the reflection is negative relative to the ideal reflecting surface, then it is denoted as... ;

[0053] When the best approximation of the ideal reflecting surface is relative to the first... Each node All displacement vectors are or all When the maximum error distribution range is obtained, its expression is:

[0054] ;or,

[0055] ;

[0056] in, Indicates the first The unit vector in the normal direction at each node;

[0057] When the best approximation of the ideal reflecting surface is relative to the first... Each node The displacement vectors are and When mixing, the maximum error distribution range is obtained, and its expression is:

[0058] ;

[0059] in, Represents the displacement vector The total number, Represents the displacement vector The total number, .

[0060] S104. Compare the preset error threshold with the maximum error distribution range to determine the layout scheme of the actuator corresponding to the reflective surface.

[0061] Specifically, please see Figure 5 , Figure 5 This is a schematic diagram of an actuator layout scheme provided in an embodiment of the present invention. In this embodiment, a preset error threshold value is obtained. ;in, The accuracy of the surface is not determined by a constant.

[0062] Set the preset error threshold value With the maximum error distribution range To make a comparison, if Then the first If a node belongs to area A where actuators are arranged, and if Then the first The node belongs to area B where no actuators are installed;

[0063] Based on area A where actuators are installed and area B where actuators are not installed, obtain the actuator layout scheme.

[0064] In this embodiment, the pre-adjusted deformable reflective surface is used to best approximate the ideal reflective surface. Based on the maximum error range of the best-fit axial error distribution under different working conditions, actuators are arranged if the error exceeds the critical value; otherwise, no actuators are arranged. The reflective surface is divided into region A and region B, that is, no actuators are arranged in region B. This can solve the problems of too many actuators and high cost caused by arranging actuators on the entire reflective surface panel.

[0065] S105. Based on the actuator layout scheme, determine the adjustment target surface when the reflector antenna is in the upward-facing condition. Based on the adjustment target surface and the ideal reflector surface, obtain the adjustment amount of the actuator when the reflector antenna is in the upward-facing condition.

[0066] Specifically, in this embodiment, please refer to Figure 6 , Figure 6 This is a schematic diagram of a reflective surface adjustment process provided in an embodiment of the present invention. The process of obtaining the target surface for adjustment includes:

[0067] Using the average value of the reflector deformation under the upward and downward conditions, the reflector deformation of region B at different pitch angles is pre-adjusted to obtain the pre-adjusted deformed reflector of region B.

[0068] A second mathematical model is constructed to approximate the ideal reflective surface corresponding to the pre-adjusted deformed reflective surface of region B, and second approximation parameters are obtained. These second approximation parameters include the parameters along the pre-adjusted deformed reflective surface of region B. Translation of the axis ,along Translation of the axis ,along Translation of the axis ,along Rotation angle of the axis and along Rotation angle of the axis The expression for the second mathematical model is:

[0069] ;

[0070] in, Represents the column vector of the second optimization variable. This represents the second optimization objective. This represents the total number of nodes on the deformed reflective surface of region B after pre-adjustment. This indicates the first [unit] on the deformed reflective surface of the pre-adjusted region B. The coordinates of each node, The first ideal reflective surface panel corresponding to region B. The coordinates of each node, Represents the column vector of the second optimization variable The lower limit, Represents the column vector of the second optimization variable The upper limit, The nodal coordinates of the deformed reflecting surface of the pre-adjusted region B around [the surface] are shown. The transformation matrix of the axis, The nodal coordinates of the deformed reflecting surface of the pre-adjusted region B around [the surface] are shown. The transformation matrix of the axis;

[0071] Based on the second approximation parameter, the deformed reflective surface of the pre-adjusted region B is translated and rotated to obtain the optimal approximation ideal reflective surface corresponding to region B, which is then used as the adjustment target surface.

[0072] In this embodiment, the process of obtaining the adjustment amount of the actuator includes:

[0073] Obtain the first value of the adjusted target surface relative to the ideal reflective surface. The displacement vector of each node ;

[0074] According to the displacement vector Get region A Displacement vector of the actuator corresponding node position ,in, ;

[0075] According to area A Displacement vector of the actuator corresponding node position Obtain the adjustment amount of the actuator in region A. Its expression is:

[0076] ;

[0077] in, Indicates actuator The unit normal vector at the corresponding node position. It indicates a working condition where one looks up at the sky.

[0078] In this embodiment, in order to improve the surface accuracy of the reflective surface, after the reflective surface panel is divided into region A and region B, region B, which does not have actuators, is once again optimally approximated to the ideal reflective surface. The difference is that the nodes are changed to nodes without actuators, so that region B is as close to the ideal reflective surface as possible, while region A can adjust the deformed panel to the ideal reflective surface through the actuators on the panel.

[0079] S106. Based on the adjustment amount of the actuator and the finite element model, obtain the adjustment accuracy of the reflector antenna when it is in the upward-facing condition.

[0080] Specifically, please see Figure 7 , Figure 7This is a surface error cloud map of the reflective surface under upward and horizontal conditions provided in this embodiment of the invention. In this embodiment, the adjustment amount of the actuator in region A is... The displacement load is applied to the finite element model to obtain the root mean square error (RMS) of the reflector surface deformation when the reflector antenna is in the upward-facing condition. The RMS of the reflector surface deformation is then used as the adjustment accuracy when the reflector antenna is in the upward-facing condition.

[0081] S107. Update the preset error threshold and update the adjustment accuracy accordingly until the curve of the adjustment accuracy changing with the preset error threshold under all working conditions is obtained.

[0082] Specifically, please see Figure 8 , Figure 8 This is a schematic diagram of the curve showing the change in the adjustment accuracy of the reflective surface as a function of the error critical value, provided in an embodiment of the present invention. In this embodiment, it is determined whether the error critical value has been reached under all working conditions. If the corresponding reflective surface adjustment accuracy (RMS) is achieved, a curve showing the change of the reflective surface adjustment accuracy RMS with a preset error threshold value is obtained; if not achieved, the error threshold value is continuously updated. Repeat steps S104, S105 and S106 until a curve showing the change in the RMS of the reflective surface adjustment accuracy as a function of a preset error threshold is obtained.

[0083] S108. Based on the required adjustment accuracy, obtain the corresponding critical error value on the curve, and based on the critical error value, obtain the actuator layout scheme.

[0084] Specifically, in this embodiment, the required error threshold value is obtained from the curve in step S107, and the layout scheme of the actuator is obtained based on the error threshold value.

[0085] In this embodiment, by changing the error threshold, the corresponding surface accuracy of the reflective surface can be calculated, and the curve of the surface accuracy of the reflective surface as a function of the error threshold can be plotted. In engineering, the error threshold can be quickly determined according to the surface accuracy requirements, and then the optimal actuator layout scheme for the adjustment accuracy requirements of the reflective surface can be determined.

[0086] In an optional embodiment of the present invention, the effectiveness of the reflector antenna actuator layout method provided in the above embodiment of the present invention is verified by simulation experiments, specifically as follows:

[0087] I. Simulation Object

[0088] The method provided by this invention is verified through an example using a dual-reflector antenna with an aperture of 35m and a focal length of 10.8m. The finite element model of this reflector antenna is as follows: Figure 3As shown, it consists of a main reflector, a secondary reflector, reinforcing ribs, a back frame, a central body, secondary support legs, and a base frame. The main and secondary reflectors are made of aluminum shells, while the reinforcing ribs, back frame, central body, secondary support legs, and base frame are made of steel beam structures.

[0089] Under gravitational load, the reflector antenna will undergo structural deformation, requiring pre-adjustment. After panel pre-adjustment, the optimal fitting accuracy of this 35m reflector antenna when pointing towards the sky and horizontally is 0.39mm. The optimal approximation process is as follows: Figure 4 As shown. To further improve surface accuracy, actuators need to be installed on the reflective panel. Based on the required surface accuracy specifications, and in conjunction with this invention, an optimal actuator layout design scheme is provided.

[0090] II. Simulation Results

[0091] Five different elevation angles were selected as examples to verify the method provided by this invention. Please continue reading... Figure 8 As shown, the five elevation angles are 90°, 67.5°, 45°, 22.5°, and 0°. Assuming a surface accuracy requirement of 0.1mm, after multiple calculations, it was finally found that when the error reaches a critical value... When the thickness is 0.57mm, the number of actuators is minimized, and the surface accuracy requirements of the reflective surface are met. The final actuator layout scheme is as follows: Figure 5 As shown, the reflective surface is divided into two regions, A and B. Region A has actuators, so the panel can be adjusted; region B has no actuators, so the panel cannot be adjusted. Based on the actuator layout scheme, using... Figure 6 The process of adjusting the reflective surface shown is to improve its surface accuracy. A non-active panel is used to optimally approximate the ideal reflective surface. The non-active panel in region B is kept stationary, and then the active panel in region A is adjusted to meet the surface accuracy requirements of the reflective surface. After adjustment of the active panel, the final surface error cloud maps of the reflective surface under the conditions of looking up (a) and pointing to the ground (b) are shown below. Figure 7 As shown. Furthermore, under five different elevation angles, the error critical values ​​of 0.3mm, 0.5mm, and 0.7mm were analyzed. The curves showing the change in reflector adjustment accuracy with the error critical value obtained using the method provided by this invention are shown below. Figure 8 As shown in the figure, the surface accuracy of the two is the worst and coincides when the pitch angle is 0° and 90°. Therefore, in engineering, the error critical value under the surface accuracy requirement can be quickly determined according to the change curve when the pitch angle is 0° or 90°, and then the optimal actuator layout scheme can be determined.

[0092] In summary, the beneficial effects of the present invention include:

[0093] 1. The present invention provides a method for arranging actuators for a reflector antenna based on the best fitting accuracy. It utilizes the pre-adjusted deformable reflector to best approximate the ideal reflector. According to the maximum error range of the best fitting axial error distribution under different working conditions, actuators are arranged if the error exceeds the critical value, otherwise no actuators are arranged. The reflector is divided into two regions, A and B, which solves the problems of too many actuators and high cost caused by arranging actuators on the entire reflector panel.

[0094] 2. The present invention provides a method for arranging actuators for a reflector antenna based on optimal fitting accuracy. In order to further improve the surface accuracy of the reflector, after the reflector panel is divided into two regions, A and B, the region B, where no actuators are arranged, is once again optimally approximated to the ideal reflector. The difference from the above is that the nodes are changed to nodes where no actuators are arranged, so that region B is as close to the ideal reflector as possible, while region A can adjust the deformed panel to the ideal reflector through the actuators on the panel.

[0095] 3. The present invention provides a method for the layout of reflector antenna actuators based on the best fitting accuracy. By changing the error critical value, the corresponding reflector surface accuracy can be calculated, and the curve of the reflector surface accuracy changing with the error critical value can be plotted. In engineering, the error critical value can be quickly determined according to the surface accuracy requirements, and then the optimal actuator layout scheme under the reflector adjustment accuracy requirements can be determined.

[0096] It should be noted that, in this document, relational terms such as "first" and "second" are used merely to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations are intended to cover non-exclusive inclusion, such that an article or device comprising a list of elements includes not only those elements but also other elements not expressly listed. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the article or device comprising said element. Terms such as "connected" or "linked" are not limited to physical or mechanical connections but can include electrical connections, whether direct or indirect. The orientations or positional relationships indicated by terms such as "upper," "lower," "left," and "right" are based on the orientations or positional relationships shown in the accompanying drawings and are used only for the convenience of describing the invention and for simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be construed as limiting the invention.

[0097] In the description of this specification, the references to terms such as "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., indicate that a specific feature or characteristic described in connection with that embodiment or example is included in at least one embodiment or example of the present invention. In this specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features or characteristics described may be combined in any suitable manner in one or more embodiments or examples. In addition, those skilled in the art can combine and integrate the different embodiments or examples described in this specification.

[0098] The above description, in conjunction with specific preferred embodiments, provides a further detailed explanation of the present invention. It should not be construed that the specific implementation of the present invention is limited to these descriptions. For those skilled in the art, various simple deductions or substitutions can be made without departing from the concept of the present invention, and all such modifications and substitutions should be considered within the scope of protection of the present invention.

Claims

1. A method for arranging reflector antenna actuators based on optimal fitting accuracy, characterized in that, include: Based on the finite element model of the reflector antenna, the average value of the reflector deformation under the upward and horizontal conditions is obtained, and the reflector deformation at different elevation angles is pre-adjusted to obtain the pre-adjusted deformed reflector. The pre-adjusted deformable reflective surface is translated and rotated to obtain the best approximation of the ideal reflective surface, and the best fitting axial error distribution of the best approximation of the ideal reflective surface to the ideal reflective surface is obtained at different pitch angles; Based on the best-fit axial error distribution, the maximum error distribution range is obtained; By comparing the preset error threshold with the maximum error distribution range, a layout scheme for the actuator corresponding to the reflective surface is determined. Based on the layout scheme of the actuator, the adjustment target surface when the reflector antenna is in the upward-facing condition is determined, and the adjustment amount of the actuator when the reflector antenna is in the upward-facing condition is obtained based on the adjustment target surface and the ideal reflector. Based on the adjustment amount of the actuator and the finite element model, the adjustment accuracy of the reflector antenna when it is in the upward-facing condition is obtained; Update the preset error threshold and update the adjustment accuracy accordingly until the curve of the adjustment accuracy changing with the preset error threshold under all working conditions is obtained. Based on the required adjustment accuracy for the project, the corresponding critical error value is obtained on the curve, and the layout scheme of the actuator is obtained based on the critical error value.

2. The reflector antenna actuator layout method based on optimal fitting accuracy according to claim 1, characterized in that, The process of obtaining the average value of the reflector deformation under the upward-facing and downward-facing conditions includes: When the reflector antenna is positioned in an upward-facing state, a gravitational acceleration of G is applied to the normal direction of the finite element model, resulting in the deformation of the reflector panel nodes. The reflective surface includes multiple reflective surface branches, and each reflective surface branch includes multiple nodes. A column vector consisting of the nodal deformations of all the reflector supports. This indicates a working condition where the worker is looking up at the sky. When the reflector antenna is in a horizontal operating condition, a gravitational acceleration of G is applied to the normal direction of the finite element model, resulting in the deformation of the reflector panel nodes. , A column vector consisting of the nodal deformations of all the reflector supports. This indicates a working condition where the worker is looking up at the sky. According to the deformation of the reflective panel node and the deformation of the reflective panel nodes The average value of the reflector deformation under the above-sky and below-the-point conditions was obtained. Its expression is: ； The average value of the reflector deformation under the above-facing and finger-level conditions is used. For pitch angle is The deformation of the reflecting surface is pre-adjusted to obtain the pre-adjusted nodal deformation of the reflecting surface. Its expression is: ； in, Indicates the first One pitching condition, , This indicates the total number of pitch conditions. To pre-adjust the pitch angle is Deformation of the reflective surface nodes at that time; The pre-adjusted deformed reflective surface is obtained by pre-adjusting the deformation of the reflective surface nodes at different pitch angles.

3. The reflector antenna actuator layout method based on optimal fitting accuracy according to claim 1, characterized in that, The step of obtaining the optimal approximation of the ideal reflective surface by translating and rotating the pre-adjusted deformed reflective surface includes: A first mathematical model is constructed to best approximate the ideal reflective surface from the pre-adjusted deformable reflective surface, and a first approximation parameter is obtained. The first approximation parameter includes the pre-adjusted deformable reflective surface along... Translation of the axis ,along Translation of the axis ,along Translation of the axis ,along Rotation angle of the axis and along Rotation angle of the axis The expression for the first mathematical model is: ； in, Represents the column vector of the first optimization variable. This represents the first optimization objective. This represents the total number of nodes on the reflecting surface. This indicates the first pre-adjusted deformable reflective surface panel. The coordinates of each node, Represents the first ideal reflective surface panel. The coordinates of each node, Represents the column vector of the first optimization variable The lower limit, Represents the column vector of the first optimization variable The upper limit, Indicates node coordinates around The transformation matrix of the axis, Indicates node coordinates around The transformation matrix of the axis; Based on the first approximation parameter, the pre-adjusted deformable reflective surface is translated and rotated to obtain the best approximation of the ideal reflective surface.

4. The reflector antenna actuator layout method based on optimal fitting accuracy according to claim 3, characterized in that, The expression for obtaining the best-fit axial error distribution of the best approximation ideal reflecting surface for the ideal reflecting surface at different pitch angles is: ； in, This indicates that the best approximation of the ideal reflecting surface is relative to the first ideal reflecting surface. The displacement vector of each node.

5. The reflector antenna actuator layout method based on optimal fitting accuracy according to claim 4, characterized in that, The The expression is: ； The The expression is: ； in, This indicates that the pre-adjusted deformable reflective surface is along... The rotation angle of the axis, This indicates that the pre-adjusted deformable reflective surface is along... Rotation angle of the axis .

6. The reflector antenna actuator layout method based on optimal fitting accuracy according to claim 1, characterized in that, The step of obtaining the maximum error distribution range based on the best-fit axial error distribution includes: To obtain the best approximation of the ideal reflecting surface for the first... Each node Under different pitch conditions displacement vectors , If the displacement vector If the axial component is positive relative to the ideal reflecting surface, then it is denoted as . If the displacement vector If the axial component of the reflection is negative relative to the ideal reflecting surface, then it is denoted as... ; When the best approximation of the ideal reflecting surface is relative to the first... Each node All displacement vectors are or all When the maximum error distribution range is obtained, its expression is: ;or, ； in, Indicates the first The unit vector in the normal direction at each node; When the best approximation of the ideal reflecting surface is relative to the first... Each node The displacement vectors are and When mixing, the maximum error distribution range is obtained, and its expression is: ； in, Represents the displacement vector The total number, Represents the displacement vector The total number, .

7. The reflector antenna actuator layout method based on optimal fitting accuracy according to claim 6, characterized in that, The step of comparing the preset error threshold with the maximum error distribution range to determine the layout scheme of the actuator corresponding to the reflective surface includes: Obtain the preset error threshold. ; The preset error threshold value With the maximum error distribution range To make a comparison, if Then the first If a node belongs to area A where actuators are arranged, and if Then the first The node belongs to area B where no actuators are installed; Based on area A where actuators are installed and area B where actuators are not installed, obtain the actuator layout scheme.

8. The reflector antenna actuator layout method based on optimal fitting accuracy according to claim 7, characterized in that, The step of determining the adjustment target surface of the reflector antenna when it is in an upward-facing position, based on the layout scheme of the actuator, includes: Using the average value of the reflector deformation under the above-sky and below-the-sky conditions, the reflector deformation of region B at different pitch angles is pre-adjusted to obtain the pre-adjusted deformed reflector of region B. A second mathematical model is constructed to approximate the ideal reflective surface corresponding to the pre-adjusted region B from the deformed reflective surface of the region B, and a second approximation parameter is obtained. The second approximation parameter includes the deformation reflective surface of the pre-adjusted region B along... Translation of the axis ,along Translation of the axis ,along Translation of the axis ,along Rotation angle of the axis and along Rotation angle of the axis The expression for the second mathematical model is: ； in, Represents the column vector of the second optimization variable. This represents the second optimization objective. This represents the total number of nodes on the deformed reflective surface of region B after pre-adjustment. This indicates the first [unit] on the deformed reflective surface of the pre-adjusted region B. The coordinates of each node, The first ideal reflective surface panel corresponding to region B. The coordinates of each node, Represents the column vector of the second optimization variable The lower limit, Represents the column vector of the second optimization variable The upper limit, The nodal coordinates of the deformed reflecting surface of the pre-adjusted region B around [the surface] are shown. The transformation matrix of the axis, The nodal coordinates of the deformed reflecting surface of the pre-adjusted region B around [the surface] are shown. The transformation matrix of the axis; Based on the second approximation parameter, the deformed reflective surface of the pre-adjusted region B is translated and rotated to obtain the optimal approximation ideal reflective surface corresponding to region B, which is then used as the adjustment target surface.

9. The reflector antenna actuator layout method based on optimal fitting accuracy according to claim 8, characterized in that, The step of obtaining the actuator adjustment amount when the reflector antenna is in an upward-facing condition based on the target surface and the ideal reflector includes: Obtain the first value of the adjusted target surface relative to the ideal reflective surface. The displacement vector of each node ; According to the displacement vector Get region A Displacement vector of the actuator corresponding node position ,in, ; According to the region A Displacement vector of the actuator corresponding node position Obtain the adjustment amount of the actuator in region A. Its expression is: ； in, Indicates actuator The unit normal vector at the corresponding node position. It indicates a working condition where one looks up at the sky.

10. The reflector antenna actuator layout method based on optimal fitting accuracy according to claim 9, characterized in that, The step of obtaining the adjustment accuracy of the reflector antenna when it is in an upward-facing condition based on the adjustment amount of the actuator and the finite element model includes: Adjust the actuator amount in region A The displacement load is applied to the finite element model to obtain the root mean square error (RMS) of the reflector surface deformation when the reflector antenna is in the upward-facing condition. The RMS of the reflector surface deformation is then used as the adjustment accuracy of the reflector antenna when it is in the upward-facing condition.

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