CN105718697B - The large-scale mobile fitting method of adjustment of deformation parabola antenna panel is directed toward towards antenna - Google Patents

The large-scale mobile fitting method of adjustment of deformation parabola antenna panel is directed toward towards antenna Download PDF

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CN105718697B
CN105718697B CN201610073905.0A CN201610073905A CN105718697B CN 105718697 B CN105718697 B CN 105718697B CN 201610073905 A CN201610073905 A CN 201610073905A CN 105718697 B CN105718697 B CN 105718697B
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antenna
deformation
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paraboloid
panel
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CN105718697A (en
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王从思
肖岚
王艳
李素兰
黄进
朱敏波
王璐
段玉虎
王志海
平丽浩
刘振宇
冷国俊
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Xidian University
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Abstract

The invention discloses one kind to be directed toward the large-scale mobile fitting method of adjustment of deformation parabola antenna panel towards antenna, including determines parabola antenna organization plan and actuator initial position, establishes antenna structure finite element model, actuator supporting surface plate node;Antenna structure deformation induced by gravity is calculated, extracts and deforms paraboloidal nodal information;Its antenna electric performance is calculated, determines the corresponding node of deformation paraboloid and ideal design face, virtual movable panel;It calculates reflecting surface and is fitted the smallest target surface of root-mean-square error;It determines the corresponding node of deformation paraboloid and target surface, calculates actuator adjustment amount;Positions of panels is adjusted, antenna structure finite element model is updated;It calculates deformation parabola antenna to be directed toward, judges that antenna is directed toward and whether meet the requirements to obtain the mobile fitting adjustment amount of optimal panel.The actuator adjustment amount being directed toward towards antenna can be directly calculated in the present invention, ensure that Antenna Operation is directed toward and the original focal length of antenna.Improve antenna reflective face precision, good combination property.

Description

The large-scale mobile fitting method of adjustment of deformation parabola antenna panel is directed toward towards antenna
Technical field
The invention belongs to antenna technical field, specifically a kind of large-scale deformation parabola antenna panel being directed toward towards antenna Mobile fitting method of adjustment makes antenna synthesis for the reflection surface panel position of active accommodation large size deformation parabola antenna It can be optimal.
Background technique
Large reflector antenna based on receive capabilities, it is necessary to build not only big but also good, " big ", it is meant that have heavy caliber and big Gathering area can receive more strong signal, from and observe the faint source of space;" good ", it is meant that have more accurate mirror surface With higher pointing accuracy, to realize radio telescope " look far, see clearly, seeing quasi- ".In face of the big mouth of radio telescope The development trend of diameter, high band, under the influence of the factors such as the large-scale antenna being on active service in complex environment is self-possessed, temperature and wind lotus Malformation can be generated, and antenna progress pitching orientation rotation during military service, antenna surface pattern time-varying, additionally there are The random errors such as manufacture, installation, they result in antenna structure deformation jointly, so as to cause antenna electric performance deterioration problem, example Such as gain reduction, minor lobe are raised, direction deflects.It is necessary to the spatial positions to antenna reflective face to carry out with geometry at this time Adjustment, i.e. Active Reflector adjust, this is the compensation most effective means of antenna electric performance.
Multi-section large-scale radio telescope has all used or will use Active Reflector adjustment technology both at home and abroad at present, Such as U.S. GBT, Mexico LMT, Italy SRT, Chile CCAT and Chinese heavenly steed telescope.The large-scale day that some one's early years build Line, such as Germany's 37 meters of antennas of 100 meters of antennas of Effelsberg and U.S. Haystack in 1964 in 1971, all in two Its minor face is upgraded to deformable minor face by ten beginnings of the century.500 meters of antennas of FAST and plan in Xinjiang that China is being built at present 110 meters of antennas of QTT of construction will also apply this technology.Visible face is to the development trend of large-scale parabola antenna, using actively Reflecting surface adjustment technology is trend of the times.In the more existing related patents with the compensation of large-scale antenna electrical property, such as west The number of patent application for pacifying University of Electronic Science and Technology's electronics structure design key lab of the Ministry of Education is 201310393511.X, hair Bright entitled " a kind of feed location compensation method for deforming large-scale single reflection surface antenna ", number of patent application is 201510114942.7, a kind of entitled " minor face compensation side of the large-scale figuration dual reflector antenna based on mechanical-electric coupling Method " and number of patent application be 201510548132.2, a kind of entitled " large-scale figuration bireflectance based on mechanical-electric coupling The direction method of adjustment of surface antenna ", they are all based on traditional antenna structure form, are arrived respectively by mobile feed, minor face Best match position, and by the method for antenna entirety azimuth pitch rotation adjustment, guarantee that Antenna Operation is directed toward, however day line style Face still has deformation, can not make up antenna gain and lose the problem low with aperture efficiency, and these method of adjustment processes compared with It is cumbersome, it has been unable to satisfy the working performance compensation of large-scale antenna in practical applications.
Therefore, it is necessary to structure design form and panel active accommodation method based on antenna Active Reflector, according to day The gravity deformation information of cable architecture and panel, analyzes it, and then obtains paraboloidal deformation, then according to antenna It is directed toward, determines that reflecting surface is fitted the smallest target surface of root-mean-square error, so that the movement of deformation paraboloid panel be calculated It is fitted adjustment amount, for instructing aerial panel to adjust, and then improves antenna synthesis performance, this process is to be directed toward towards antenna The large-scale mobile fitting method of adjustment of deformation parabola antenna panel.
Summary of the invention
For deficiency existing for former method of adjustment, a kind of large-scale deformation paraboloid being directed toward towards antenna has been invented herein The mobile fitting method of adjustment of aerial panel, this method pass through the mobile fitting adjustment side of panel for large-scale deformation parabola antenna Method improves antenna synthesis performance.
To achieve the goals above, method of adjustment provided by the invention includes the following steps:
(1) according to the structural parameters of large-scale parabola antenna, working frequency and material properties, determine antenna structure scheme and Actuator initial position is established ideally antenna structure finite element model in FEM mechanics analysis software, and is determined Actuator supporting surface plate node;
(2) according to the ideally antenna structure finite element model of foundation, to not in FEM mechanics analysis software It deforms parabola antenna structural finite element model and applies gravitational load, calculate antenna structure deformation induced by gravity, and extract antenna deformation Paraboloidal nodal information;
(3) parabola antenna electromechanical Coupling Model is utilized, deformation parabola antenna electrical property is calculated, goes to step (8);
(4) according to the paraboloidal nodal information of antenna deformation, the corresponding node of deformation paraboloid and ideal design face is determined, Virtual movable panel;
(5) it is directed toward according to antenna, calculates reflecting surface and be fitted the smallest target surface of root-mean-square error;
(6) according to obtained target surface, the corresponding node of antenna deformation paraboloid and target surface is determined, calculating actuates Device adjustment amount;
(7) according to actuator adjustment amount, corresponding adjustment aerial panel to new position updates antenna structure finite element mould Type goes to step (2);
(8) it according to obtained deformation parabola antenna electrical property, calculates deformation parabola antenna and is directed toward, according to large-scale parabolic The performance requirement of surface antenna, judges whether antenna direction meets the requirements, if not satisfied, step (4) are carried out, if satisfied, then exporting Actuator adjustment amount, to obtain the mobile fitting adjustment amount of optimal panel.
The structural parameters of the large size parabola antenna include reflecting surface bore and focal length;The large size parabola antenna Material properties include the density of antenna back frame material and reflection surface panel material, elasticity modulus.
The step (3) utilizes antenna electromechanical Coupling Model, and the far field direction of an electric field of deformation parabola antenna is calculated Figure can determine that unit for electrical property parameters, the electromechanical Coupling Models such as antenna direction are as follows from directional diagram:
In formula, (θ, φ) is far field direction of observation, f0(ξ, φ ') is feed directional diagram,For mirror surface Influence item to bore field phase is deformed, δ (β) is that antenna structure is displaced, and β is Antenna Construction Design variable, including structure size, Shape, topology and type parameter, r0For any distance of feed to reflecting surface, k is wave constant, and A indicates antenna opening diametric plane, ρ ', φ ' is the polar coordinates in XOY plane.
The step (4) determines that deformation paraboloid and the corresponding node in ideal design face comprise the following processes:
(4a) is equal to respective nodes on ideal design face according to normal direction cosine of the deformation posterior nodal point to target surface Normal direction cosine, by node P (x on antenna ideal design facei,yi,zi) normal direction cosine, obtain antenna deformation parabolic Node P on face1(x0,y0,z0) normal direction cosine (li,mi,ni):
It obtains by node P1(x0,y0,z0) normal equation:
(4b) solves normal equation, and normal direction straight line and the ideal design face of node on antenna deformation paraboloid is obtained Node P in the z coordinate and antenna deformation paraboloid of intersection point1(x0,y0,z0) corresponding ideal design face normal direction intersection point P0(x0',y0',z0') coordinate;
(4c) is according to each intersecting point coordinate, virtual movable panel.
The step (5) calculates the reflecting surface fitting the smallest target surface of root-mean-square error and comprises the following processes:
(5a) is based on actuator and virtually moves target point P0i(x0i',y0i',z0i'), after determining that deformation paraboloid virtually moves The new position P of N number of sampling nodev(xi,yi,zi);
(5b) is directed toward according to Antenna Operation, calculates the coke for making the reflecting surface fitting the smallest target surface equation of root-mean-square error Away from:
(5c) obtains the equation of target surface are as follows:
The step (6) determines the corresponding node of deformation paraboloid and target surface, and calculating actuator adjustment amount includes such as Lower process:
(6a) is supported the node of panel by actuator on antenna ideal design faceNormal direction cosine, Obtain the node of actuator support panel on antenna deformation paraboloidNormal direction cosine (ui,vi,wi):
(6b) extracts actuator supporting surface plate node, by the node of actuator support panel on antenna ideal design faceNormal direction cosine, obtain by antenna deformation paraboloid actuator support panel nodeNormal equation:
(6c) solves above-mentioned normal equation, and the normal of the node of actuator support panel on antenna deformation paraboloid is obtained The node of actuator support panel in the z coordinate and antenna deformation paraboloid of direction straight line and target surface intersection pointThe intersection point of the normal direction of corresponding target surfaceCoordinate;
(6d) determines regulation coefficientI.e. when the intersection point of the normal direction of target surfacePositioned at edge The node of actuator support panel on antenna deformation paraboloidWhen normal direction is directed toward on the inside of reflecting surface, then1 is taken, node is worked asPositioned at edgeWhen normal direction is directed toward on the outside of reflecting surface, thenTake -1;
(6e) calculates node on deformation paraboloidRelative to node on target surfaceNorma l deviation, formula is as follows:
(6f) is according to determining regulation coefficientWith node on deformation paraboloidRelative to node on target surface Norma l deviation, calculate actuator adjustment amountFormula is as follows:
The step (7) reformulates paraboloid, at this time antenna back frame knot along the axially adjustable panel of actuator to new position Structure is constant, changes aerial panel location parameter, updates antenna structure finite element model.
The step (8) calculates deformation paraboloid day according to the far field direction of an electric field figure of obtained deformation parabola antenna Line is directed toward.
The invention has the characteristics that:
(1) present invention is the Active Reflector structure design based on large-scale antenna, can directly calculate and be directed toward towards antenna Actuator adjustment amount, can be applied in Control System for Active Reflector, calculation method is simple, can significantly improve antenna synthesis Energy.
(2) method proposed by the present invention is to carry out active tune by mobile fitting to large size deformation parabola antenna panel It is whole, it is directly changed spatial position and the geometry of antenna reflective face, ensure that Antenna Operation direction and the original focal length of antenna, together When also improve antenna reflective face precision.Have the advantages that improve antenna reflective face precision, good combination property can be used for large-scale day The active accommodation in line reflection face, to solve large-scale parabola antenna because of electrical property deterioration problem caused by deformation induced by gravity.
Detailed description of the invention
Fig. 1 is flow chart of the invention;
Fig. 2 is large-scale parabola antenna ANSYS structural model figure;
Fig. 3 is antenna paraboloid deformation displacement cloud atlas;
Fig. 4 is that surface error schematic diagram is reflected in electromechanical Coupling Model;
Fig. 5 is that antenna curved surface adjusts geometrical relationship schematic diagram;
Fig. 6 is the electrical property comparison diagram for deforming parabola antenna adjustment front and back.
Specific embodiment
Below in conjunction with the accompanying drawings and embodiment the invention will be further described.
As shown in Figure 1, a kind of be directed toward the large-scale mobile fitting method of adjustment of deformation parabola antenna panel towards antenna, specifically Steps are as follows:
Step 1, parabola antenna organization plan and actuator initial position are determined, antenna structure finite element model is established, And determine actuator supporting surface plate node
According to the structural parameters of large-scale parabola antenna, working frequency and material properties, antenna structure scheme and rush are determined Dynamic device initial position is established antenna structure finite element model ideally in FEM mechanics analysis software, and is determined Actuator supporting surface plate node;The structural parameters of its medium-and-large-sized parabola antenna include reflecting surface bore, focal length, large-scale paraboloid The material properties of antenna include the density of antenna back frame material and reflection surface panel material, elasticity modulus.
Step 2, antenna structure deformation induced by gravity is calculated, and extracts the paraboloidal nodal information of deformation
To the antenna structure finite element model established in step 1 ideally, in FEM mechanics analysis software Gravitational load is loaded to undeformed parabola antenna structural finite element model, calculates antenna structure deformation induced by gravity, and extract deformation The coordinate of each node on paraboloid.
Step 3, deformation parabola antenna electrical property is calculated
Using antenna electromechanical Coupling Model, the far field direction of an electric field figure of deformation parabola antenna is calculated, it can from directional diagram To determine the unit for electrical property parameters such as antenna direction, step 8 is gone to.Electromechanical Coupling Model is as follows:
In formula, (θ, φ) is far field direction of observation, f0(ξ, φ ') is feed directional diagram, The influence item to bore field phase is deformed for mirror surface, δ (β) is antenna structure displacement, and β is Antenna Construction Design variable, Including structure size, shape, topology and type parameter, r0For any distance of feed to reflecting surface, k is wave constant, and A indicates day Line bore face, ρ ', φ ' are the polar coordinates in XOY plane.
Step 4, the corresponding node of deformation paraboloid and ideal design face is determined
4.1 are equal to the method for respective nodes on ideal design face according to deformation posterior nodal point to the normal direction cosine of target surface Line direction cosines, by node P (x on antenna ideal design facei,yi,zi) normal direction cosine, obtain antenna deformation paraboloid On node P1(x0,y0,z0) normal direction cosine (li,mi,ni):
It obtains by node P1(x0,y0,z0) normal equation:
4.2 solve normal equation, and normal direction straight line and the ideal design face of node on antenna deformation paraboloid is obtained Node P in the z coordinate and antenna deformation paraboloid of intersection point1(x0,y0,z0) corresponding ideal design face normal direction intersection point P0(x0',y0',z0') coordinate, as shown in Figure 5;
4.3 according to each intersecting point coordinate, virtual movable panel.
Step 5, it calculates reflecting surface and is fitted the smallest target surface of root-mean-square error
5.1 virtually move target point P based on actuator0i(x0i',y0i',z0i'), it determines and deforms N after paraboloid virtually moves The new position P of a sampling nodev(xi,yi,zi);
5.2 are directed toward according to Antenna Operation, calculate the coke for making the reflecting surface fitting the smallest target surface equation of root-mean-square error Away from for
5.3 obtain the equation of target surface are as follows:
Step 6, it determines the corresponding node of deformation paraboloid and target surface, calculates actuator adjustment amount
6.1 are supported the node of panel by actuator on antenna ideal design faceNormal direction cosine, obtain The node of actuator support panel on to antenna deformation paraboloidNormal direction cosine (ui,vi,wi):
6.2 extract actuator supporting surface plate node, by the node of actuator support panel on antenna ideal design faceNormal direction cosine, obtain by antenna deformation paraboloid actuator support panel nodeNormal equation:
6.3 solve above-mentioned normal equation, and the normal of the node of actuator support panel on antenna deformation paraboloid is obtained The node of actuator support panel in the z coordinate and antenna deformation paraboloid of direction straight line and target surface intersection pointThe intersection point of the normal direction of corresponding target surfaceCoordinate;
6.4 determine regulation coefficientI.e. when the intersection point of the normal direction of target surfacePositioned at along day Line deforms the node of actuator support panel on paraboloidWhen normal direction is directed toward on the inside of reflecting surface, then 1 is taken, node is worked asPositioned at edgeWhen normal direction is directed toward on the outside of reflecting surface, thenTake -1;
6.5 calculate node on deformation paraboloidRelative to node on target surfaceNorma l deviation, formula is as follows:
6.6 according to determining regulation coefficientWith node on deformation paraboloidRelative to node on target surface Norma l deviation, calculate actuator adjustment amountFormula is as follows:
Step 7, antenna structure finite element model is updated
The actuator adjustment amount according to obtained in step 6, corresponding adjustment panel to new position, reformulates paraboloid, Antenna back frame structure is constant at this time, changes aerial panel location parameter, updates antenna structure finite element model, goes to step 2;
Step 8, it calculates deformation parabola antenna to be directed toward, judges whether antenna direction meets the requirements
The far field direction of an electric field figure that deformation parabola antenna is drawn according to obtained deformation parabola antenna electrical property, calculates It deforms parabola antenna to be directed toward, according to the performance requirement of large-scale parabola antenna, judges whether antenna direction meets the requirements, if not Meet, carry out step 4, if satisfied, actuator adjustment amount is then exported, to obtain the mobile fitting adjustment amount of optimal panel.
Advantages of the present invention can be further illustrated by following emulation:
1. establishing large-scale parabola antenna structural finite element model ideally in ANSYS
In the present embodiment, analyzed using 8 meters of antenna ANSYS structural finite element models as case, the beam element in model Using beam188, shell unit selects shell63, and the ANSYS structural model built up is as shown in Fig. 2, wherein antenna focal length is 3 Rice, working frequency range 5GHz, antenna back frame are steel construction, and the elasticity modulus of material is 2.1 × 107MPa, density are 7.85 × 10-3kg/cm2;Panel is aluminium alloy, and density is 2.73 × 10-3kg/cm3, with a thickness of 4mm.
2. applying gravitational load
Gravitational load is applied to the ideally antenna structure finite element model built up in ANSYS software, at this time Antenna is in state of looking up to heaven, and calculates the deformation of antenna, then antenna paraboloid deformation displacement cloud atlas is as shown in figure 3, and respectively Extract the paraboloid node coordinate and displacement information before and after antenna deformation.
3. calculating deformation aft antenna electrical property
Using the deformation paraboloid node coordinate information extracted in previous step, after calculating deformation by electromechanical Coupling Model Antenna electric performance, reflection surface error schematic diagram is as shown in figure 4, electromechanical Coupling Model is as follows in electromechanical Coupling Model:
In formula, (θ, φ) is far field direction of observation, f0(ξ, φ ') is feed directional diagram, The influence item to bore field phase is deformed for mirror surface, k is wave constant, and λ is operation wavelength, and Δ z is reflection surface error.
4. determining the corresponding node of deformation paraboloid and ideal design face
Utilize actuator initial position message, the normal equation and ideal design face equation of support node excessively, simultaneous side Journey group solves deformation paraboloid and the corresponding node coordinate information in ideal design face, and antenna curved surface adjusts geometrical relationship Schematic diagram is as shown in Figure 5.
5. determining makes reflecting surface be fitted the smallest target surface of root-mean-square error
Antenna is in state of looking up to heaven in embodiment, and being calculated makes reflecting surface be fitted the smallest target surface of root-mean-square error The focal length f of equationgFor 3216mm, then the equation of target surface is
6. determining the corresponding node of deformation paraboloid and target surface
Utilize actuator initial position message, the normal equation and target surface equation of support node excessively, simultaneous equations Group, solves and obtains the corresponding node coordinate information of deformation paraboloid and target surface, and antenna curved surface adjusts geometrical relationship schematic diagram As shown in Figure 5.
7. calculating actuator adjustment amount
The corresponding node coordinate information according to obtained in previous step, judge corresponding node is located along actuator branch The positive direction or opposite direction of panel node location are supportted, then corresponding actuator adjustment amount is calculated.
8. comparison adjustment front and back antenna electric performance
Antenna electric performance comparison before and after 1 tested rotating platform of table
The antenna electric performance of panel adjustment front and back is compared, antenna electric performance generally refers to antenna beam and refers to here To the directional diagram for the deformation parabola antenna being calculated in embodiment is as shown in Figure 6.As can be seen from Table 1, deformation induced by gravity When antenna beam be directed toward deviation be 2.88 rads, panel adjust aft antenna beam position amendment, then adjust after than adjust before antenna Beam-pointing accuracy improves 2.88 rads, ensure that the requirement that Antenna Operation is directed toward in Practical Project, and to a certain extent Improve antenna gain.
It can be seen that directly calculate using method of the invention by above-mentioned emulation and be actuated towards what antenna was directed toward Device adjustment amount not only ensure that Antenna Operation direction and the original focal length of antenna, but also improve paraboloid precision, make antenna multiple Comprehensive performance is best in miscellaneous Service Environment.

Claims (5)

1. a kind of be directed toward the large-scale mobile fitting method of adjustment of deformation parabola antenna panel towards antenna, which is characterized in that including Following process:
(1) it according to the structural parameters of large-scale parabola antenna, working frequency and material properties, determines antenna structure scheme and actuates Device initial position establishes antenna structure finite element model ideally in FEM mechanics analysis software, and determines and promote Dynamic device supporting surface plate node;
The structural parameters of the large size parabola antenna include reflecting surface bore and focal length;The material of the large size parabola antenna Attribute includes the density of antenna back frame material and reflection surface panel material, elasticity modulus;
(2) according to the antenna structure finite element model ideally of foundation, to unchanged in FEM mechanics analysis software Shape parabola antenna structural finite element model applies gravitational load, calculates antenna structure deformation induced by gravity, and extracts antenna deformation throwing The nodal information of object plane;
(3) parabola antenna electromechanical Coupling Model is utilized, deformation parabola antenna electrical property is calculated, goes to step (8);
(4) according to the paraboloidal nodal information of antenna deformation, the corresponding node of deformation paraboloid and ideal design face is determined, virtually Movable panel;
(5) it is directed toward according to antenna, calculates reflecting surface and be fitted the smallest target surface of root-mean-square error;
Step (5) carries out according to the following procedure:
(5a) is based on actuator and virtually moves target point P0i(x0i',y0i',z0i'), it determines N number of after deformation paraboloid virtually moves The new position P of sampling nodev(xi,yi,zi);
(5b) is directed toward according to Antenna Operation, calculates the focal length f for making the reflecting surface fitting the smallest target surface equation of root-mean-square errorg:
(5c) obtains the equation of target surface are as follows:
(6) it according to obtained target surface, determines the corresponding node of antenna deformation paraboloid and target surface, calculates actuator tune Whole amount;
Step (6) carries out according to the following procedure:
(6a) is supported the node of panel by actuator on antenna ideal design faceNormal direction cosine, obtain day Line deforms the node of actuator support panel on paraboloidNormal direction cosine (ui,vi,wi):
(6b) extracts actuator supporting surface plate node, by the node of actuator support panel on antenna ideal design faceNormal direction cosine, obtain by antenna deformation paraboloid actuator support panel nodeNormal equation:
(6c) solves above-mentioned normal equation, and the normal direction of the node of actuator support panel on antenna deformation paraboloid is obtained The node of actuator support panel in the z coordinate and antenna deformation paraboloid of straight line and target surface intersection point The intersection point of the normal direction of corresponding target surfaceCoordinate;
(6d) determines regulation coefficientI.e. when the intersection point of the normal direction of target surfaceBecome positioned at along antenna The node of actuator support panel on shape paraboloidWhen normal direction is directed toward on the inside of reflecting surface, then1 is taken, Work as nodePositioned at edgeWhen normal direction is directed toward on the outside of reflecting surface, thenTake -1;
(6e) calculates node on deformation paraboloidRelative to node on target surfaceNorma l deviation:
(6f) is according to determining regulation coefficientWith node on deformation paraboloidRelative to node on target surfaceNormal direction Deviation calculates actuator adjustment amount
(7) according to actuator adjustment amount, corresponding adjustment aerial panel to new position updates antenna structure finite element model, turns To step (2);
(8) it according to obtained deformation parabola antenna electrical property, calculates deformation parabola antenna and is directed toward, according to large-scale paraboloid day The performance requirement of line, judges whether antenna direction meets the requirements, if not satisfied, step (4) are carried out, if satisfied, then output actuates Device adjustment amount, to obtain the mobile fitting adjustment amount of optimal panel.
2. according to claim 1 a kind of towards the mobile fitting adjustment side of the large-scale deformation parabola antenna panel of antenna direction Method, which is characterized in that step (3) calculates the far field direction of an electric field of deformation parabola antenna using antenna electromechanical Coupling Model Figure can determine that antenna is directed toward unit for electrical property parameters from directional diagram, and electromechanical Coupling Model is as follows:
In formula, (θ, φ) is far field direction of observation, f0(ξ, φ ') is feed directional diagram,For mirror surface deformation Influence item to bore field phase, δ (β) are antenna structure displacement, and β is Antenna Construction Design variable, including structure size, shape Shape, topology and type parameter, r0For any distance of feed to reflecting surface, k is wave constant, and A indicates antenna opening diametric plane, ρ ', φ ' For the polar coordinates in XOY plane.
3. according to claim 1 a kind of towards the mobile fitting adjustment side of the large-scale deformation parabola antenna panel of antenna direction Method, which is characterized in that step (4) carries out according to the following procedure:
(4a) is equal to the normal of respective nodes on ideal design face according to deformation posterior nodal point to the normal direction cosine of target surface Direction cosines, by node P (x on antenna ideal design facei,yi,zi) normal direction cosine, obtain on antenna deformation paraboloid Node P1(x0,y0,z0) normal direction cosine (li,mi,ni):
It obtains by node P1(x0,y0,z0) normal equation:
(4b) solves normal equation, and the normal direction straight line and ideal design face intersection point of node on antenna deformation paraboloid is obtained Z coordinate and antenna deformation paraboloid on node P1(x0,y0,z0) corresponding ideal design face normal direction intersection point P0 (x0',y0',z0') coordinate;
(4c) is according to each intersecting point coordinate, virtual movable panel.
4. according to claim 1 a kind of towards the mobile fitting adjustment side of the large-scale deformation parabola antenna panel of antenna direction Method, which is characterized in that in step (7), paraboloid is reformulated, at this time day in the panel position axially adjustable to new along actuator Line back frame structure is constant, changes aerial panel location parameter, updates antenna structure finite element model.
5. according to claim 1 a kind of towards the mobile fitting adjustment side of the large-scale deformation parabola antenna panel of antenna direction Method, which is characterized in that in step (8), according to the far field direction of an electric field figure of obtained deformation parabola antenna, calculate deformation parabolic Surface antenna is directed toward.
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CN106991210B (en) * 2017-03-02 2019-06-28 西安电子科技大学 A kind of Shaped-beam reflector antenna electrical behavior prediction method based on electromechanical Coupling Model
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