CN106876862B - Deployable parabola antenna rope wire side Topology Structure Design method based on electrical property optimization - Google Patents
Deployable parabola antenna rope wire side Topology Structure Design method based on electrical property optimization Download PDFInfo
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q15/00—Devices for reflection, refraction, diffraction or polarisation of waves radiated from an antenna, e.g. quasi-optical devices
- H01Q15/14—Reflecting surfaces; Equivalent structures
- H01Q15/16—Reflecting surfaces; Equivalent structures curved in two dimensions, e.g. paraboloidal
- H01Q15/161—Collapsible reflectors
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Abstract
The invention discloses a kind of deployable parabola antenna rope wire side Topology Structure Design methods based on electrical property optimization, wherein deployable parabola antenna rope wire side is made of provinculum wire side and rear rope wire side, when designing provinculum wire side, using provinculum wire side internal node as design variable, constraint condition is fixed as with boundary node, meet all internal nodes be not bound by think paraboloid constraint, internal node be in dynamic balance under conditions of, obtain all node coordinates of provinculum wire side；Based on antenna gain electrical property, axial translation optimization is carried out to all node coordinates, realizes the minimum value of provinculum wire side illumination weighting surface contour error；After design when rope wire side, under conditions of meeting deployable parabola antenna total height, using design method identical with provinculum wire side, the structure of rear rope wire side is obtained；The present invention realizes the excellent topology layout of deployable parabola antenna rope wire side, can improve deployable parabola antenna type face precision, stability and electrical property significantly.
Description
Technical field
The present invention relates to the deployable parabola antenna construction design method in space, before and after especially deployable parabola antenna
The form optimization method of rope wire side, specifically a kind of deployable parabola antenna rope wire side topological structure based on electrical property optimization
Design method, the structure applied to space large caliber parabola antenna design.
Background technique
In recent years, space activity is more and more frequent, and the deployable parabola antenna of heavy caliber is more favored.Annular purlin
The parabola antenna of frame is broadly divided into five parts: provinculum wire side, rear rope wire side, longitudinal drag-line, metallic reflection net, circular periphery purlin
The part such as frame forms.Under power device driving, parabola antenna is smoothly unfolded and is shunk, to realize with higher
Shrinkage ratio and stability.For deployable parabola antenna, the metallic reflection net being fixed on provinculum wire side is for realizing
The transmission of radio wave, the type face precision for being also just doomed provinculum wire side is the principal element of antenna performance.This is because for
For parabola antenna, type face precision directly affects antenna gain, and antenna gain is directly to decide the transmission of radio
Effect.Meanwhile metallic reflection net places one's entire reliance upon rope wire side, also has very high requirement to its stability.Therefore, it is intended that designing
Even tension, the small parabola antenna rope wire side of surface contour error, can steadily realize the transmission of radio wave.
In the structured design process of parabola antenna, Antenna Construction Design is broadly divided into two classes: one kind is first according to one
Fixed rule determines the coordinate of each node, then solves the rope tension of antenna again, then looks for " state " with " shape ".Second class is true
The relationship between rope tension is provided before standing wire wire side shape, and " shape " is then looked for " state ".As research is continuous deeply, people
Find to look for " shape " such methods that can obtain the deployable parabola antenna of even tension, stable structure with " state ", and resist
Interference performance is strong, and the rope total length of parabola antenna is minimum.
2008, Yang Dongwu was based on looking for " state " with " shape " in paper " prestressed cable net The Optimal Design of Antenna Structure "
Thought is designed parabola antenna, is design with wire side rope maximum pull ratio first using antenna structure feature as foundation
Minimum target.This method antenna not high for performance requirement, can satisfy structural requirement substantially.But for space great Kou
The deployable parabola antenna of diameter, due to limitation of its method itself, rope tension uniformity is poor, is not able to satisfy paraboloid day
The stability requirement of line.
2012, Morterolle S was in paper " Numerical Form-finding of Geotensoid
Tension Truss for Mesh Reflector " in, a kind of method that isostension structure has been obtained by force density iteration.
This method can obtain a relatively stable parabola antenna.Due to not optimized to rope wire side node, this method
The disadvantages of there are type face precision is poor, and metallic reflection net gain is lower.
2014, poplar heptan in the last of the ten Heavenly stems was in a kind of patent " initial form finding design side of deployable offset parabolic antenna cable net structure
Method " in, antenna structure initial form finding design is divided into the design of provinculum net first and rear rope net designs two parts, with rope wire side node
Coordinate and with rope tension collectively as design variable, all boundary nodes are fixed, all internal nodes are all in ideal meeting
Under conditions of on paraboloid, a kind of method of rope isotension state is realized.The disadvantage of this method is that: in all
Portion's node is defined on ideal paraboloid, does not carry out node coordinate optimization, it is obvious that its design day line style face precision compared with
Difference is not able to satisfy antenna gain to the structural performance requirements of parabola antenna.
Therefore, before and after the parabola antenna in the development process of rope wire side, a kind of opening up based on electrical property optimization is proposed
Parabola antenna rope wire side Topology Structure Design method is opened to be very important.
Summary of the invention
The purpose of the present invention is overcoming above-mentioned problems of the prior art, provide it is a kind of based on electrical property optimization can
Be unfolded parabola antenna rope wire side Topology Structure Design method, so as to obtain rope tension uniformly, stable structure, type face precision compared with
High, the deployable parabola antenna structure in the preferable space of electrical property.
The technical scheme is that the deployable parabola antenna rope wire side Topology Structure Design based on electrical property optimization
Method includes the following steps:
Step 101: according to antenna structure performance requirement, selecting the placement form of deployable parabola antenna, determination can open up
Open the optics bore D of parabola antenna, the focal length f of deployable parabola antenna, rope uniform tension F these basic parameters；
Step 102: quasi- geodesic curve initial mesh being carried out to deployable parabola antenna rope wire side and is divided, rope wire side is obtained
Initial net configuration；Meanwhile rope wire side node coordinate and rope tension and rope section link information are numbered and are arranged；
Step 103: taking deployable parabola antenna illumination functionApproach actual antennas reflecting surface aperture field section
The mode of electric field strength determines deployable parabola antenna illumination functionParameter value；
Step 104: being based on electrical property optimisation strategy, deployable parabola antenna axial coordinate is optimized；Can open up
Open the root mean square δ of parabola antenna illumination weighting surface contour error0For objective function, using rope wire side internal node as design variable,
It is fixed as constraint condition with boundary node, reaches the minimum value purpose of rope wire side illumination weighting surface contour error；
Step 105: calculating the surface contour error of deployable parabola antenna, maximum tension when far field radiation pattern.
Above-mentioned steps 102 include the following steps:
Step 201: the deployable parabola antenna basic parameter obtained according to step 101 establishes deployable paraboloid day
Line model；
Step 202: quasi- geodesic curve grid configuration being carried out to deployable parabola antenna provinculum wire side and is divided, as preceding
The initial configuration of rope wire side；
Step 203: the node of deployable parabola antenna, rope tension and rope section connection relation information are organized into fixation
The data file of format.
Above-mentioned steps 103 include the following steps:
Step 301: illumination weighting surface contour error evaluation being carried out to deployable parabola antenna, discusses antenna gain, illumination
Relationship between weighted error and the illumination formula of parabola antenna；
The gain function of deployable parabola antenna:
(1) in formula, G is the deployable parabola antenna gain containing error；G0For ideal deployable paraboloidal antenna
Gain；δ0The root mean square of surface contour error is weighted for deployable parabola antenna illumination；λ is the nothing of deployable parabola antenna transmission
It rations the power supply wave wavelength；E is natural constant；π is pi；
The illumination weighted error function of deployable parabola antenna:
(2) in formula, δ0 2Surface contour error is weighted for deployable parabola antenna illumination；For deployable parabola antenna
The radial error that axial error is converted to optical path difference；For the illumination function of deployable parabola antenna；A is deployable parabolic
Surface antenna illumination weighted error function δ0 2Integrating range；DS is deployable parabola antenna illumination weighted error function δ0 2's
Integration variable；
The illumination function of deployable parabola antenna:
(3) in formula, τ is the exposure intensity at deployable parabola antenna reflecting surface bore edge；D is deployable paraboloid day
The paraboloid bore of line；For deployable parabola antenna bore position radius vectors；N is deployable parabola antenna reflecting surface
Taper；
Step 302: the deployable parabola antenna basic parameter obtained according to step 101 obtains ginseng identical as step 102
Several deployable parabola antenna models；
Step 303: utilizing GRASP software, establish the aperture field section of deployable parabola antenna, the deployable parabolic
The aperture field section of surface antenna is plane that is vertical with parabolic axis and being located at reflecting face edge, for paraboloid of revolution day
Line, the round bore plane that exactly paraboloidal boundary surrounds；It is then reflecting surface perpendicular to paraboloid for offset parabola
View field in the plane of axis；
Step 304: taking deployable parabola antenna illumination functionIt goes to approach practical reflecting surface aperture field section electricity
The mode of field intensity obtains the exposure intensity τ and deployable parabola antenna at deployable parabola antenna reflecting surface bore edge
The taper n of reflecting surface.
Above-mentioned steps 104 include the following steps:
Step 401: when designing deployable parabola antenna provinculum wire side, deployable throwing has been determined by step 101,102
The basic parameter of object plane antenna obtains the initial net configuration of deployable parabola antenna provinculum wire side；
Step 402: it is based on force density alternative manner, calculates deployable parabola antenna rope net surface force density coefficient:
qj=Tu/lj (4)
(4) in formula, qjTo number the rope section force density coefficient for being j；TuFor rope uniform tension；ljTo number the rope section for being j
Length；
Step 403: when design provinculum wire side, provinculum wire side internal node is divided into internal node and boundary node, it is internal
Node is free node, and boundary node is fixed constraint node；In provinculum wire side, each internal node is in dynamic balance, i.e.,
Meet following condition:
(5) in formula, TjTo number the rope section tension for being j；X′iIt is the nodes X coordinate of j for node serial number；cjFor with i-node
The number of nodes being directly connected to；J is the number that node is connected directly with i-node；ljTo number the rope segment length for being j；
It is obtained according to formula (4), (5):
In formula (6), X 'iIt is the nodes X coordinate of j for node serial number；J is the number that node is connected directly with i-node；qjFor
Number is the rope section force density coefficient of j；cjFor the number of nodes being directly connected to i-node；Wherein formula (6) is to be directed to provinculum net
The equilibrium equation of the X-direction of each node in face；Similarly, formula (6) is also set up in Y, Z-direction；
Step 404: the node coordinate of deployable parabola antenna is gone to by local coordinate system using female paraboloid as vertex
Global coordinate system in；Offset parabola is based on transition matrix and converts node coordinate；For the paraboloid of revolution, square is converted
Battle array is unit matrix, and local coordinate is consistent with world coordinates；
Step 405: with the root mean square δ of deployable parabola antenna illumination weighting surface contour error0For objective function, with rope net
Face internal node is all design variable, obtains root mean square δ0Value；
Step 406: calculating parabola antenna rope lengths and rope tension；
Tj=qjlj (8)
In formula (7), (8), ljTo number the rope segment length for being j；ΔXiFor the X-coordinate changing value with rope section connected node；Δ
YiFor the Y-coordinate changing value with rope section connected node；ΔZjFor the Z coordinate changing value with rope section connected node；qjIt is j for number
Rope section force density coefficient；TjTo number the rope section tension for being j；
Step 407: judging whether provinculum wire side meets following formula (9), if meeting formula (9), continue in next step, otherwise, turn
To step 402；
|Tj-Tu|/Tu< tolT (9)
In formula (9), TjTo number the rope section tension for being j；TuFor rope uniform tension；tolTFor deployable parabola antenna
Maximum tension ratio；
Step 408: judging the norm of the adjacent node changing value of iteration twice of provinculum wire side | | Δ Xt| | whether it is less than maximum
Value tolxIf the norm of the adjacent node changing value of iteration twice of provinculum wire side | | Δ Xt| | it is less than maximum value tolx, continue next
Step；Otherwise, step 402 is gone to；
Step 409: determine the vertical adjustment rope value of thrust of parabola antenna:
In formula (10), FziIt is the vertical adjustment rope pulling force of i for node；qjTo number the rope section force density coefficient for being j；Z′i
It is the node Z coordinate of i for node serial number；cjFor the number of nodes being directly connected to i-node；It, can meeting after design when rope wire side
It is unfolded under conditions of parabola antenna total height, using design method identical with provinculum wire side.
Above-mentioned steps 105 include the following steps:
Step 501: step 104 has determined the node coordinate of parabola antenna, forms the number of deployable parabola antenna
According to file；
Step 502: calculating deployable parabola antenna far field radiation pattern；
Above-mentioned steps 405 include the following steps:
Step 601: deployable parabola antenna is spliced by tri patch；Based on Line Integral, calculate accurate
Parabola antenna axial surface contour errorTri patch is made of three node is, j, k, then the Z coordinate of rope net dough sheet
It indicates are as follows:
In formula (11),It is as follows:
Formula (11), (12), (13), in (14), Z is deployable parabola antenna node Z-direction coordinate；For linear equation coefficient；(Xm,Ym,Zm) (m=i, j, k) be coordinate of the dough sheet under world coordinates；
Step 602: defining the mathematic(al) representation of best deployable parabola antenna are as follows:
Z=(X2+Y2)/4F+t (15)
In formula (15), t is independent variable parameter；X, Y, Z indicate spatial position of the node under world coordinates；
By Line Integral, the surface contour error of best parabola antenna is calculated
In formula (16),For the surface contour error of deployable parabola antenna；For linear equation
Coefficient；T is independent variable parameter；F is deployable parabola antenna focal length；AijFor the tri patch integral domain of Line Integral；Xm、
Ym、Zm(m=i, j, k) is spatial position of the tri patch under world coordinates；
Step 603: deployable parabola antenna illumination weights surface contour error δ0 2, axial errorRadial errorIllumination weights surface contour error δ0 2Between relationship are as follows:
Wherein,
Formula (17), (18), (19), (20), in (21),For the axial error of deployable parabola antenna；F is can
Parabola antenna focal length is unfolded；For the illumination function of deployable parabola antenna；For deployable parabola antenna axis
The radial error converted to error to optical path difference；
Step 604: according to step 603, calculating deployable parabola antenna illumination weighting surface contour error δ0 2。
Beneficial effects of the present invention: the present invention has the advantage that
1, the deployable parabola antenna rope wire side Topology Structure Design method proposed by the present invention based on electrical property optimization；
Optimized based on electrical property, compared with existing Antenna Design, available even tension, the deployable paraboloid day of stable structure
Line；
2, method proposed by the present invention is applicable not only to rotate deployable parabola antenna front and back rope net surface structure design, and
And it is applicable in the structure design for biasing deployable parabola antenna, and effectively raise parabola antenna type face precision and anti-interference
Property；
3, the present invention effectively improves the electrical properties such as parabola antenna gain.
Detailed description of the invention
Fig. 1 is deployable parabola antenna initial form finding design overview flow chart；
Fig. 2 is deployable parabola antenna provinculum wire side initial configuration schematic diagram；
Fig. 3 is deployable parabola antenna initial net configuration schematic diagram；
Fig. 4 is that deployable parabola antenna provinculum wire side initial mesh divides flow chart；
Fig. 5 is deployable parabola antenna illumination function approximation flow chart；
Fig. 6 is deployable parabola antenna node optimization overall flow figure；
Fig. 7 is deployable parabola antenna far-field radiation flow chart；
Fig. 8 is deployable parabola antenna provinculum wire side far-field radiation pattern；
Fig. 9 is that deployable parabola antenna illumination function weights axial error stream journey figure；
Figure 10 is deployable parabola antenna provinculum net surface structure figure.
Specific embodiment
The invention will be described in further detail with reference to the accompanying drawings and examples；As shown in Figure 1, the invention proposes one
The deployable parabola antenna rope wire side Topology Structure Design method that kind is optimized based on electrical property, it is with deployable paraboloid day
The surface contour error of line illumination function weighting is objective function, the design method optimized to node.With offset parabolic antenna
For, specifically comprise the following steps:
Step 101: according to antenna structure performance requirement, selecting the placement form of deployable parabola antenna, determination can open up
Open the optics bore D of parabola antenna, the focal length f of deployable parabola antenna, rope uniform tension F these basic parameters；Such as
Shown in Fig. 2, deployable parabola antenna provinculum wire side initial configuration schematic diagram；
Step 102: quasi- geodesic curve initial mesh being carried out to deployable parabola antenna rope wire side and is divided, rope wire side is obtained
Initial net configuration；Meanwhile rope wire side node coordinate and rope tension and rope section link information are numbered and are arranged；Such as figure
Shown in 3, deployable parabola antenna initial net configuration schematic diagram；
Step 103: taking deployable parabola antenna illumination functionApproach actual antennas reflecting surface aperture field section
The mode of electric field strength determines deployable parabola antenna illumination functionParameter value；
Step 104: being based on electrical property optimisation strategy, deployable parabola antenna axial coordinate is optimized；Can open up
Open the root mean square δ of parabola antenna illumination weighting surface contour error0For objective function, using rope wire side internal node as design variable,
It is fixed as constraint condition with boundary node, reaches the minimum value purpose of rope wire side illumination weighting surface contour error；
Step 105: calculating the surface contour error of deployable parabola antenna, maximum tension when far field radiation pattern.
As shown in figure 4, the step 102, includes the following steps:
Step 201: the deployable parabola antenna basic parameter obtained according to step 101 establishes deployable paraboloid day
Line model；
Step 202: quasi- geodesic curve grid configuration being carried out to deployable parabola antenna provinculum wire side and is divided, as preceding
The initial configuration of rope wire side；
Step 203: the node of deployable parabola antenna, rope tension and rope section connection relation information are organized into fixation
The data file of format.
As shown in figure 5, the step 103, includes the following steps:
Step 301: illumination weighting surface contour error evaluation being carried out to deployable parabola antenna, discusses antenna gain, illumination
Relationship between weighted error and the illumination formula of parabola antenna；
The gain function of deployable parabola antenna:
(1) in formula, G is the deployable parabola antenna gain containing error；G0For ideal deployable paraboloidal antenna
Gain；δ0The root mean square of surface contour error is weighted for deployable parabola antenna illumination；λ is the nothing of deployable parabola antenna transmission
It rations the power supply wave wavelength；E is natural constant；π is pi；
The illumination weighted error function of deployable parabola antenna:
(2) in formula, δ0 2Surface contour error is weighted for deployable parabola antenna illumination；For deployable parabola antenna
The radial error that axial error is converted to optical path difference；For the illumination function of deployable parabola antenna；A is deployable parabolic
Surface antenna illumination weighted error function δ0 2Integrating range；DS is deployable parabola antenna illumination weighted error function δ0 2's
Integration variable；
The illumination function of deployable parabola antenna:
(3) in formula,For the illumination function of deployable parabola antenna；τ is deployable parabola antenna reflecting surface mouth
The exposure intensity at diameter edge；D is the paraboloid bore of deployable parabola antenna；For deployable parabola antenna bore position
Radius vectors；N is the taper of deployable parabola antenna reflecting surface；
Step 302: the deployable parabola antenna basic parameter obtained according to step 101 obtains ginseng identical as step 102
Several deployable parabola antenna models；
Step 303: utilizing GRASP (General Reflector Antenna Software Package) software, build
The aperture field section of deployable parabola antenna is stood, it is plane that is vertical with parabolic axis and being located at reflecting face edge,
For rotary parabolic surface antenna, round bore plane that exactly paraboloidal boundary surrounds；It is then reflection for offset parabola
View field of the face in the plane perpendicular to parabolic axis；
Step 304: taking deployable parabola antenna illumination functionIt goes to approach practical reflecting surface aperture field section electricity
The mode of field intensity show that the exposure intensity τ for biasing deployable parabola antenna reflecting surface bore edge is 0.251189 and anti-
The taper n for penetrating face is 1.80.
As shown in fig. 6, the step 104, includes the following steps:
Step 401: when designing deployable parabola antenna provinculum wire side, deployable throwing has been determined by step 101,102
The basic parameter of object plane antenna obtains the initial net configuration of deployable parabola antenna provinculum wire side；
Step 402: it is based on force density alternative manner, calculates deployable parabola antenna rope net surface force density coefficient:
qj=Tu/lj (4)
(4) in formula, qjTo number the rope section force density coefficient for being j；TuFor rope uniform tension；ljTo number the rope section for being j
Length；
Step 403: when design provinculum wire side, provinculum wire side internal node is usually divided into internal node and boundary node,
Internal node is free node, and boundary node is fixed constraint node；In provinculum wire side, each internal node is in dynamic balance
In, that is, meet following condition:
(5) in formula, TjTo number the rope section tension for being j；X′iIt is the nodes X coordinate of j for node serial number；cjFor with i-node
The number of nodes being directly connected to.J is the number that node is connected directly with i-node；ljTo number the rope segment length for being j；
It is obtained according to formula (4), (5):
In formula (6), X 'iIt is the nodes X coordinate of j for node serial number；J is the number that node is connected directly with i-node；qjFor
Number is the rope section force density coefficient of j；cjFor the number of nodes being directly connected to i-node.Formula (6) is directed in provinculum wire side
The equilibrium equation of the X-direction of each node.Similarly, formula (6) is also set up in Y, Z-direction；
Step 404: the node coordinate of deployable parabola antenna is gone to by local coordinate system using female paraboloid as vertex
Global coordinate system in；Offset parabola is based on transition matrix and converts node coordinate；For the paraboloid of revolution, square is converted
Battle array is unit matrix, and local coordinate is consistent with world coordinates；
Step 405: with the root mean square δ of deployable parabola antenna illumination weighting surface contour error0For objective function, with rope net
Face internal node is all design variable, obtains root mean square δ0Value；
Step 406: calculating parabola antenna rope lengths and rope tension；
Tj=qjlj (8)
In formula (7), (8), ljTo number the rope segment length for being j；ΔXiFor the X-coordinate changing value with rope section connected node；Δ
YiFor the Y-coordinate changing value with rope section connected node；ΔZjFor the Z coordinate changing value with rope section connected node；qjIt is j for number
Rope section force density coefficient；TjTo number the rope section tension for being j；
Step 407: judging whether provinculum wire side meets, if meeting formula (9), continue in next step, otherwise, to go to step
402；
|Tj-Tu|/Tu< tolT (9)
In formula (9), TjTo number the rope section tension for being j；TuFor rope uniform tension；tolTFor deployable parabola antenna
Maximum tension ratio；
Step 408: judging the norm of the adjacent node changing value of iteration twice of provinculum wire side | | Δ Xt| | whether it is less than maximum
Value tolxIf the norm of the adjacent node changing value of iteration twice of provinculum wire side | | Δ Xt| | it is less than maximum value tolx, continue next
Step；Otherwise, step 402 is gone to；
Step 409: determine the vertical adjustment rope value of thrust of parabola antenna:
In formula (10), FziIt is the vertical adjustment rope pulling force of i for node；qjTo number the rope section force density coefficient for being j；Z′i
It is the node Z coordinate of i for node serial number；cjFor the number of nodes being directly connected to i-node.It, can meeting after design when rope wire side
It is unfolded under conditions of parabola antenna total height, using design method identical with provinculum wire side.
As shown in fig. 7, the step 105, includes the following steps:
Step 501: step 104 has determined the node coordinate of parabola antenna, forms the number of deployable parabola antenna
According to file；
Step 502: deployable parabola antenna far field radiation pattern is calculated, as shown in figure 8, deployable parabola antenna
Provinculum wire side far-field radiation pattern.
As shown in figure 9, the step 405, includes the following steps:
Step 601: deployable parabola antenna is spliced by tri patch；Based on Line Integral, calculate accurate
Parabola antenna axial surface contour errorTri patch is made of three node is, j, k, i.e. the Z coordinate of rope net dough sheet
It may be expressed as:
In formula (11),It is as follows:
Formula (11), (12), (13), in (14), Z is deployable parabola antenna node Z-direction coordinate；For linear equation coefficient；(Xm,Ym,Zm) (m=i, j, k) be coordinate of the dough sheet under world coordinates；
Step 602: defining the mathematic(al) representation of best deployable parabola antenna are as follows:
Z=(X2+Y2)/4F+t (15)
In formula (15), t is independent variable parameter；X, Y, Z are spatial position of the node under world coordinates；Based on Line Integral,
Calculate the surface contour error of best parabola antenna.It can write are as follows:
In formula (16),For the surface contour error of deployable parabola antenna；For linear equation
Coefficient；T is independent variable parameter；F is deployable parabola antenna focal length；AijFor the tri patch integral domain of Line Integral；Xm、
Ym、Zm(m=i, j, k) is spatial position of the tri patch under world coordinates；
Step 603: deployable parabola antenna illumination weights surface contour error δ0 2, axial errorRadial errorIllumination weights surface contour error δ0 2Between relationship are as follows:
Wherein,
Formula (17), (18), (19), (20), in (21),For the axial error of deployable parabola antenna；F is can
Parabola antenna focal length is unfolded；For the illumination function of deployable parabola antenna；For deployable parabola antenna axis
The radial error converted to error to optical path difference；
Step 604: according to step 603, calculating deployable parabola antenna illumination weighting surface contour error δ0 2。
The present invention can further illustrate its advantage by emulation experiment:
1. experiment condition:
The optics bore D of deployable parabola antenna is 12m, and the focal length f of deployable parabola antenna is 5.4m, and biasing is thrown
Object plane offset or dish is 8.3m, working frequency 20GHZ, and Gaussian feed is set as edge level -12DB.
2. experimental result
The deployable parabola antenna rope wire side that the present invention designs, as shown in Figure 10.In order to further illustrate its advantage, originally
Invention and Morterolle S (" Numericalform-finding of geotensoid tension truss for
Mesh reflector " document propose method) design deployable parabola antenna rope wire side compared, experiment knot
Fruit, such as table 1.Experiment shows that method proposed by the present invention significantly reduces the surface contour error of parabola antenna, to improve
The structural behaviour and electrical property of deployable parabola antenna.
Table 1
To sum up, the present invention has the advantage that
1, the deployable parabola antenna rope wire side Topology Structure Design method proposed by the present invention based on electrical property optimization；
Optimized based on electrical property, compared with existing Antenna Design, available even tension, the deployable paraboloid day of stable structure
Line；
2, method proposed by the present invention is applicable not only to rotate deployable parabola antenna front and back rope net surface structure design, and
And it is applicable in the structure design for biasing deployable parabola antenna, and effectively raise parabola antenna type face precision and anti-interference
Property；
3, the present invention effectively improves the electrical properties such as parabola antenna gain.
There is no the part described in detail to belong to the well known conventional means of the industry in present embodiment, does not chat one by one here
It states.The foregoing examples are only illustrative of the present invention, does not constitute the limitation to protection scope of the present invention, all and sheet
Invent it is the same or similar design all belong to the scope of protection of the present invention within.
Claims (3)
1. the deployable parabola antenna rope wire side Topology Structure Design method based on electrical property optimization, which is characterized in that including
Following steps:
Step 101: according to antenna structure performance requirement, selecting the placement form of deployable parabola antenna, determine deployable throwing
The optics bore D of object plane antenna, the focal length f of deployable parabola antenna, rope uniform tension F these basic parameters；
Step 102: quasi- geodesic curve initial mesh being carried out to deployable parabola antenna rope wire side and is divided, the initial of rope wire side is obtained
Network；Meanwhile rope wire side node coordinate and rope tension and rope section link information are numbered and are arranged；
Step 103: taking deployable parabola antenna illumination functionApproach actual antennas reflecting surface aperture field section electric field
The mode of intensity determines deployable parabola antenna illumination functionParameter value；
Step 103 includes the following steps:
Step 301: illumination weighting surface contour error evaluation being carried out to deployable parabola antenna, discusses antenna gain, illumination weighting
Relationship between error and the illumination formula of parabola antenna；
The gain function of deployable parabola antenna:
(1) in formula, G is the deployable parabola antenna gain containing error；G0For ideal deployable paraboloidal antenna gain；
δ0The root mean square of surface contour error is weighted for deployable parabola antenna illumination；λ is that the nothing of deployable parabola antenna transmission is rationed the power supply
Wave wavelength；E is natural constant；π is pi；
The illumination weighted error function of deployable parabola antenna:
(2) in formula, δ0 2Surface contour error is weighted for deployable parabola antenna illumination；It is axially missed for deployable parabola antenna
The radial error that difference is converted to optical path difference；For the illumination function of deployable parabola antenna；A is deployable parabola antenna
Illumination weighted error function δ0 2Integrating range；DS is deployable parabola antenna illumination weighted error function δ0 2Integral become
Amount；
The illumination function of deployable parabola antenna:
(3) in formula, τ is the exposure intensity at deployable parabola antenna reflecting surface bore edge；D is deployable parabola antenna
Paraboloid bore；For deployable parabola antenna bore position radius vectors；N is the cone of deployable parabola antenna reflecting surface
Degree；
Step 302: the deployable parabola antenna basic parameter obtained according to step 101 obtains and step 102 identical parameters
Deployable parabola antenna model；
Step 303: utilizing GRASP software, establish the aperture field section of deployable parabola antenna, the deployable paraboloid day
The aperture field section of line is plane that is vertical with parabolic axis and being located at reflecting face edge, for rotary parabolic surface antenna,
The round bore plane that exactly paraboloidal boundary surrounds；It is then reflecting surface perpendicular to paraboloid axis for offset parabola
View field in the plane of line；
Step 304: taking deployable parabola antenna illumination functionIt goes to approach practical reflecting surface aperture field section electric-field strength
The mode of degree obtains exposure intensity τ and the reflection of deployable parabola antenna at deployable parabola antenna reflecting surface bore edge
The taper n in face；
Step 104: being based on electrical property optimisation strategy, deployable parabola antenna axial coordinate is optimized；With deployable throwing
The root mean square δ of object plane antenna illumination weighting surface contour error0For objective function, using rope wire side internal node as design variable, with side
Boundary's node is fixed as constraint condition, reaches the minimum value purpose of rope wire side illumination weighting surface contour error；
Step 104 includes the following steps:
Step 401: when designing deployable parabola antenna provinculum wire side, deployable paraboloid has been determined by step 101,102
The basic parameter of antenna obtains the initial net configuration of deployable parabola antenna provinculum wire side；
Step 402: it is based on force density alternative manner, calculates deployable parabola antenna rope net surface force density coefficient:
qj=Tu/lj (4)
(4) in formula, qjTo number the rope section force density coefficient for being j；TuFor rope uniform tension；ljTo number the rope segment length for being j
Degree；
Step 403: when design provinculum wire side, provinculum wire side internal node being divided into internal node and boundary node, internal node
For free node, boundary node is fixed constraint node；In provinculum wire side, each internal node is in dynamic balance, that is, is met
Following condition:
(5) in formula, TjTo number the rope section tension for being j；X′iIt is the nodes X coordinate of j for node serial number；cjIt is direct with i-node
The number of nodes of connection；J is the number that node is connected directly with i-node；ljTo number the rope segment length for being j；
It is obtained according to formula (4), (5):
In formula (6), X 'iIt is the nodes X coordinate of j for node serial number；J is the number that node is connected directly with i-node；qjFor number
It is the rope section force density coefficient of j；cjFor the number of nodes being directly connected to i-node；Wherein formula (6) is directed in provinculum wire side
The equilibrium equation of the X-direction of each node；Similarly, formula (6) is also set up in Y, Z-direction；
Step 404: the node coordinate of deployable parabola antenna is gone to by local coordinate system using female paraboloid as the complete of vertex
In office's coordinate system；Offset parabola is based on transition matrix and converts node coordinate；For the paraboloid of revolution, transition matrix is
Unit matrix, local coordinate are consistent with world coordinates；
Step 405: with the root mean square δ of deployable parabola antenna illumination weighting surface contour error0For objective function, in rope wire side
Portion's node is all design variable, obtains root mean square δ0Value；
Step 405 includes the following steps:
Step 601: deployable parabola antenna is spliced by tri patch；Based on Line Integral, accurate throwing is calculated
The axial surface contour error of object plane antennaTri patch is made of three node is, j, k, then the Z coordinate of rope net dough sheet indicates
Are as follows:
In formula (11),It is as follows:
Formula (11), (12), (13), in (14), Z is deployable parabola antenna node Z-direction coordinate；For linear equation coefficient；(Xm,Ym,Zm) (m=i, j, k) be coordinate of the dough sheet under world coordinates；
Step 602: defining the mathematic(al) representation of best deployable parabola antenna are as follows:
Z=(X2+Y2)/4F+t (15)
In formula (15), t is independent variable parameter；X, Y, Z indicate spatial position of the node under world coordinates；
By Line Integral, the surface contour error of best parabola antenna is calculated
In formula (16),For the surface contour error of deployable parabola antenna；For linear equation coefficient；t
For independent variable parameter；F is deployable parabola antenna focal length；AijFor the tri patch integral domain of Line Integral；Xm、Ym、Zm(m=
I, j, k) it is spatial position of the tri patch under world coordinates；
Step 603: deployable parabola antenna illumination weights surface contour error δ0 2, axial errorRadial errorAccording to
Degree weighting surface contour error δ0 2Between relationship are as follows:
Wherein,
Formula (17), (18), (19), (20), in (21),For the axial error of deployable parabola antenna；F is deployable
Parabola antenna focal length；For the illumination function of deployable parabola antenna；It is axially missed for deployable parabola antenna
The radial error that difference is converted to optical path difference；
Step 604: according to step 603, calculating deployable parabola antenna illumination weighting surface contour error δ0 2；
Step 406: calculating parabola antenna rope lengths and rope tension；
Tj=qjlj (8)
In formula (7), (8), ljTo number the rope segment length for being j；ΔXiFor the X-coordinate changing value with rope section connected node；ΔYiFor
With the Y-coordinate changing value of rope section connected node；ΔZjFor the Z coordinate changing value with rope section connected node；qjTo number the rope for being j
Section force density coefficient；TjTo number the rope section tension for being j；
Step 407: judging whether provinculum wire side meets following formula (9), if meeting formula (9), continue in next step, otherwise, to go to step
Rapid 402；
|Tj-Tu|/Tu< tolT (9)
In formula (9), TjTo number the rope section tension for being j；TuFor rope uniform tension；tolTMost for deployable parabola antenna
Hightension ratio；
Step 408: judging the norm of the adjacent node changing value of iteration twice of provinculum wire side | | Δ Xt| | whether it is less than maximum value
tolxIf the norm of the adjacent node changing value of iteration twice of provinculum wire side | | Δ Xt| | it is less than maximum value tolx, continue in next step；
Otherwise, step 402 is gone to；
Step 409: determine the vertical adjustment rope value of thrust of parabola antenna:
In formula (10), FziIt is the vertical adjustment rope pulling force of i for node；qjTo number the rope section force density coefficient for being j；Z′iFor node
Number is the node Z coordinate of i；cjFor the number of nodes being directly connected to i-node；After design when rope wire side, meeting deployable throwing
Under conditions of object plane antenna total height, using design method identical with provinculum wire side；
Step 105: calculating the surface contour error of deployable parabola antenna, maximum tension when far field radiation pattern.
2. the deployable parabola antenna rope wire side Topology Structure Design side as described in claim 1 based on electrical property optimization
Method, which is characterized in that step 102 includes the following steps:
Step 201: the deployable parabola antenna basic parameter obtained according to step 101 establishes deployable parabola antenna mould
Type；
Step 202: quasi- geodesic curve grid configuration being carried out to deployable parabola antenna provinculum wire side and is divided, as provinculum net
The initial configuration in face；
Step 203: the node of deployable parabola antenna, rope tension and rope section connection relation information are organized into fixed format
Data file.
3. the deployable parabola antenna rope wire side Topology Structure Design side as described in claim 1 based on electrical property optimization
Method, which is characterized in that step 105 includes the following steps:
Step 501: step 104 has determined the node coordinate of parabola antenna, forms the data text of deployable parabola antenna
Part；
Step 502: calculating deployable parabola antenna far field radiation pattern.
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| CN107394413B (en) * | 2017-07-12 | 2020-05-05 | 西安航天恒星科技实业(集团)公司 | High-precision umbrella-shaped antenna mesh surface splicing method and self-adaptive splicing device thereof |
| CN108649320B (en) * | 2018-05-11 | 2020-09-18 | 西安空间无线电技术研究所 | Installation method of metal mesh surface of umbrella-shaped antenna |
| CN111079312B (en) * | 2019-12-31 | 2022-04-12 | 清华大学 | Inflatable film developable parabolic antenna and acquisition method thereof |
| CN113221201B (en) * | 2021-05-12 | 2023-08-04 | 西安电子科技大学 | Folding design method of small-curvature paraboloid-of-revolution film |
| CN113540815B (en) * | 2021-05-27 | 2023-05-02 | 中国科学院合肥物质科学研究院 | Parabolic form adjusting method based on radar antenna surface supporting cable network node construction |
| CN113673047A (en) * | 2021-07-27 | 2021-11-19 | 江苏阿诗特能源科技有限公司 | Simulation method of energy storage container hoisting rope and related equipment |
| CN114156651B (en) * | 2021-11-12 | 2023-03-24 | 西北工业大学 | Satellite-borne mesh-shaped reflector antenna beam forming method based on memory alloy actuator |
| CN114497999B (en) * | 2022-01-14 | 2023-02-14 | 西安电子科技大学 | Multi-material composite cable net design and manufacturing method oriented to thermal stability |
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