CN107436978A - A kind of design method of the netted deployable antenna of parabolic cylinder based on Modularized splice thought - Google Patents
A kind of design method of the netted deployable antenna of parabolic cylinder based on Modularized splice thought Download PDFInfo
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Abstract
The invention provides a kind of design method of the netted deployable antenna of the parabolic cylinder based on Modularized splice thought, its key step includes：1) structural parameters of parabolic-cylinder antenna backrest are given；2) the total number of modules mesh in antenna back frame parabola direction is calculated；3) the total number of modules mesh of antenna back frame base direction is calculated；4) antenna back frame parabola direction and base direction rib number are given, determines the final configuration of backrest；5) according to the errors of principles of antenna reflective face, the segments in rope net parabola direction is calculated, and then generates the preferable geometric configuration of rope net；6) form Design of rope net is realized；7) FEM model of rope net back frame structure is established, it is combined and looks for shape so that the surface accuracy of antenna meets design requirement.The present invention splices thought based on module, and the backrest of opening up of parabolic-cylinder antenna is spliced into using the less module of species, and realizes the form Design of antenna cable net structure, obtains the integrally-built design of antenna.
Description
Technical field
The invention belongs to parabolic cylinder Deployable antenna design field, and in particular to one kind is based on Modularized splice thought
The netted deployable antenna of parabolic cylinder design method.
Background technology
Large-scale satellite antenna is widely used in the fields such as electronic reconnaissance, space communication, weather monitoring, navigation, just towards
Heavy caliber, high accuracy, the direction of lightweight are developed.Spaceborne parabolic-cylinder antenna is one kind of all types of satellite antennas, due to it
There is high directivity, high gain, be easy to light beam automatically scanning, it has also become one of new developing direction of satellite antenna.Mirror
In the limitation of rocket carrying space and ability, deployable property turns into one of characteristic feature of modern heavy caliber parabolic-cylinder antenna.
The advantages of parabolic-cylinder antenna, is that available lower cost realizes larger receiving area, is mainly used in raio survey observation, can
To realize the accurate measurement to large-scale structure and the detection to dark energy.At present, in the world the such as U.S. of some developed countries,
Japan etc. has started to parabolic-cylinder antenna being applied on the multiclass spacecrafts such as precipitation radar, telecommunication satellite.However, with state's outgoing
Compared up to country, China starts late in the research of spaceborne parabolic-cylinder antenna technology, although obtaining one in the technical field
A little progress, but larger gap compared with some developed countries in the world also be present.Therefore, with the lasting hair of space Space Cause
Exhibition, in view of the development trend of parabolic-cylinder antenna heavy caliber, high accuracy, lightweight, proposes that a kind of new parabolic cylinder is netted
Deployable antenna design method is significant.
Parabolic cylinder deployable antenna is mainly made up of reflecting surface, supporting construction, adjustable apparatus, deployed configuration etc..Its
In, antenna back frame structure and the basis that rope net form Design is the design netted deployable antenna of parabolic cylinder, it often decides
Can the satellite antenna normally realize the antenna function of imparting.In parabolic-cylinder antenna design, antenna back frame structure and rope
Net form Design mainly meets following two requirements：On the one hand, antenna back frame structure, the geometric configuration of rope net and antenna expansion
Type of drive should try one's best that simple, reliability is high；On the other hand, lightweight, bigbore back frame structure and rope net configuration are carrying
Under lotus (temperature, solar light pressure etc.) effect, the requirement of surface accuracy, electrical property should be able to be met.
Modularized design due to its process-cycle is short, surface accuracy easily ensures, expansion capability is strong, suitable for large aperture antenna
The advantages that, turn into the study hotspot of Deployable antenna.
The content of the invention
It is an object of the invention to provide a kind of setting for netted deployable antenna of the parabolic cylinder based on Modularized splice thought
Meter method, by this method can design a kind of new heavy caliber, high accuracy, lightweight the netted deployable day of parabolic cylinder
Line, there is certain directive significance to Practical Project.
The technical scheme is that：A kind of netted deployable antenna of parabolic cylinder based on Modularized splice thought is set
Meter method, comprises the following steps：
Step 101：The structural parameters of given parabolic-cylinder antenna backrest, include the deployment opening in antenna back frame parabola direction
Footpath C, the length of run L of base direction, backrest height H, parabola direction cross bar length lp, base direction cross bar length lb, three-dimensional
Joint length h1, five to joint length h2And parabola direction module splicing top connection length Tup；
Step 102：Calculate the total number of modules mesh num_p in antenna back frame parabola direction；
Step 103：Calculate the total number of modules mesh num_b of antenna back frame base direction；
Wherein, INT () is represented and the result of calculation in bracket is rounded；
Step 104：Given antenna back frame parabola direction and base direction rib number, determine the final configuration of backrest；
Step 105：According to the design requirement δ of given antenna back frame structure and the rope net errors of principles*, calculate rope net parabolic
The segments num_l in line direction, and then the topological relation of rope net is determined, obtain the preferable geometric configuration of rope net；
Step 106：Under conditions of rope net ideal geometric configuration is constant, node equilibrium equation is established, and solve the section
Point equilibrium equation is met the rope net pretension distribution of condition, realizes the form Design of rope net；
Step 107：The FEM model of rope net-back frame structure is established, and it is combined and looks for shape so that antenna deformation
Surface accuracy afterwards meets design requirement.
Above-mentioned step 102, comprise the following steps：
Step 201：Parabolic equation z=ax where given antenna back frame2, wherein,F is Jiao of antenna
Away from；
Step 202：The initial value i=1 of antenna back frame parabola direction module numbering is set；
Step 203：Calculate the anglec of rotation θ of i-th of modulei；
Step 204：Calculate the upper end point coordinates of the distal end montant of i-th of moduleWith lower end point coordinates
Step 205：Calculate the lower end point coordinates of i-th of module near-end montantWith the upper end of central vertical rod
Point coordinates
Step 206：As module numbering i >=2, step 207 is performed, otherwise goes to step 208；
Step 207：Calculate the splicing lower contact length of antenna back frame parabola i-th of direction module and the i-th -1 module
Step 208：Calculate the expansion bore C in current parabola directioni-1；
Step 209：If the expansion bore C in parabola directioni-1＜ C, then step 210 is gone to, otherwise goes to step 211；
Step 210：Update module numbering i=i+1；
Step 211：Calculate parabola direction module total number num_p=2i-1；
Step 212：The output module anglec of rotation and module splicing lower contact length.
Above-mentioned step 105, comprise the following steps：
Step 501：Design requirement δ * to the standing wire net errors of principles；
Step 502：Calculate the maximum length of rope net parabola direction rope section
Step 503：Bore D to standing wire neta, the segments num_l in calculating rope net parabola direction；
Step 504：The preferable geometric configuration in rope net parabola direction in generation；
Step 505：It is D that upper rope net, which is regarded as by two bores,aRope net is formed in/2 part, respectively to two parts
The preferable geometric configuration of upper rope net carries out antisymmetry on the x ' axles of its local coordinate system, obtains the preferable geometry structure of lower rope net
Type；
Step 506：Rope net node corresponding to upper and lower rope net is connected, establishes its vertical rope, obtains a rope net parabola side
To the sub- configuration of preferable geometry；
Step 507：The ideal in (2*num_b-1) individual rope net parabola direction is equably generated along the base direction of antenna
The sub- configuration of geometry；
Step 508：The adjacent sub- configuration of preferable geometry is connected along base direction, ultimately generates the preferable geometry of entirety of rope net
Configuration.
Above-mentioned step 107, comprise the following steps：
Step 701：The normal distance of joint is connected to antenna back frame module spliced to standing wire selvage circle point, so as to establish antenna
The small montant of backrest, realizes the connection of antenna back frame and rope net；
Step 702：Based on finite element analysis software ANSYS, the FEM model of rope net and antenna back frame is established, obtains rope
Net-backrest combining structure model；
Step 703：Statics Analysis is carried out to rope net-backrest combining structure model, obtains the upper rope net after the deformation of rope net
Node root-mean-square error RMS and antenna back frame maximum deformation quantity；
Step 704：Using inverse iteration method, the upper rope net node coordinate iteration of rope net geometric configuration is updated so that rope
After net-backrest combining structure model carries out statics Analysis, upper rope net node root-mean-square error RMS meets antenna surface accuracy
Design requirement.
Beneficial effects of the present invention：Open up the invention provides a kind of parabolic cylinder based on Modularized splice thought is netted
The design method of Kaitian's line, this method are mainly based upon modular design method, and parabolic cylinder is formed by the less module of species
Surface antenna opens up backrest, and block design has been carried out to rope net form, can effectively reduce the expansion height and parabolic cylinder of antenna
The surface density of antenna, so as to obtain the integrally-built design of antenna, particular technique advantage is as follows：
1) parabolic-cylinder antenna can be spliced into by using the less module of species opens up backrest；
2) block design has been carried out to rope net form, can have effectively reduced the expansion height of antenna, and then reduced the face of antenna
Density；
3) design of a kind of new heavy caliber, high accuracy, the netted deployable antenna of the parabolic cylinder of lightweight can be achieved.
The present invention is described in further details below with reference to accompanying drawing.
Brief description of the drawings
Fig. 1 is the design method main flow chart for the parabolic-cylinder antenna for splicing thought based on module；
Fig. 2 is parabolic-cylinder antenna backrest deployed condition schematic diagram；
Fig. 3 is the type of modules schematic diagram for forming antenna back frame；
Fig. 4 is that antenna back frame parabola direction module splices schematic diagram；
Fig. 5 is that the module of antenna back frame base direction splices schematic diagram；
Fig. 6 is the backrest basic framework schematic diagram of antenna；
Fig. 7 is antenna back frame final scheme schematic diagram；
Fig. 8 is antenna back frame parabola direction module total number calculation flow chart；
Fig. 9 is that antenna back frame parabola direction module splices schematic diagram；
Figure 10 is the parabolical segmentation situation of rope net；
Figure 11 is the block design schematic diagram of rope net ideal geometric configuration；
Figure 12 (a) is the sub- configuration of rope net parabola direction ideal geometry of antenna back frame boundary；
Figure 12 (b) is the sub- configuration of preferable geometry in antenna back frame inner cable net parabola direction；
Figure 13 is the preferable geometric configuration of entirety of parabolic-cylinder antenna rope net；
The rope net boundary point schematic diagram given when Figure 14 is rope net form Design；
Figure 15 is rope net-backrest combining structure model schematic.
Embodiment
As shown in figure 1, the invention provides a kind of netted deployable antenna of the parabolic cylinder based on Modularized splice thought
Design method, comprise the following steps：
Step 101：Parabolic-cylinder antenna backrest deployed condition is as shown in Fig. 2 the structure of given parabolic-cylinder antenna backrest
Parameter, overall structure parameter include expansion bore C, the length of run L of base direction, the backrest height H in antenna parabola direction.
Fundamental deployable module is as shown in figure 3, cellular construction parameter includes cross bar length (parabola direction unit cross bar length lp, baseline
Direction unit cross bar length lb), three-dimensional joint length h1, five to joint length h2And parabola direction module splicing top connection
Length Tup Tup, the concatenation module species of backrest is as shown in figure 4, be 1. the most basic mould for forming antenna back frame wherein in Fig. 2
Block, 2. it is parabola direction and the link block of base direction of backrest, is 3. the link block of backrest rib and basic framework,
4. it is the link block of parabola direction rib and base direction rib；
Step 102：Calculate the total number of modules mesh in antenna back frame parabola direction, the module spliced in antenna back frame parabola direction
Connect as shown in figure 5, calculating the number of modules of x-axis positive axis first；
Step 103：The total number of modules mesh num_b of antenna back frame base direction is calculated, because the intermodule of base direction does not have
There is the anglec of rotation, therefore the montant of module stitching portion can be reduced to a montant, as shown in fig. 6, deploying to grow according to base direction
Degree can obtain number of modules and be：
Step 104：Given antenna truss parabola direction and base direction rib number, determine the final configuration of backrest, by
Step 102, the 103 antenna back frame basic frameworks determined are as shown in fig. 7, in order to ensure the rigidity of antenna, in the basic frame of backrest
The rib for increasing given number on frame is as shown in Figure 8；
Step 105：According to the design requirement δ of given antenna back frame structure and the rope net errors of principles*, calculate rope net parabolic
The segments num_l in line direction, and then the topological relation of rope net is determined, obtain the preferable geometric configuration of rope net；
Step 106：Under conditions of rope net ideal geometric configuration is constant, node equilibrium equation is established, and pass through solution
The equilibrium equation is met the rope net pretension distribution of condition, realizes the form Design of rope net；
Step 107：The FEM model of rope net-back frame structure is established, and it is combined and looks for shape so that antenna deformation
Surface accuracy afterwards meets design requirement.
As shown in figure 9, the step 102 described in Fig. 1, comprises the following steps：
Step 201：Parabolic equation z=ax where given backrest2,F is the focal length of antenna；
Step 202：The module numbering i=1 of backrest parabola direction symmetrical centre is set；
Step 203：Calculate the anglec of rotation θ of i-th of modulei；
As shown in figure 5, during i=1, θ is madei=0, as i >=2, make the upper end projection of module and parabola tangent, if tangent line
Equation is z=kx+b, because the tangent line passes through a littleTherefore it is represented by；
Because parabola is tangent with straight line, therefore equation ax2- kx-b=0 has a solution, therefore：
k2+ 4ab=0 (3)
Above-mentioned two formula of simultaneous can obtain：
Take k=max { k1 k2, then anglec of rotation θi=arctan (k).
Step 204：As shown in Figure 10, the upper end point coordinates of the distal end montant of i-th of module is calculatedWith lower end
Point coordinates
As i=1,
As i >=2,
Step 205：Calculate the lower end point coordinates of i-th of module near-end montantWith the upper end of central vertical rod
Point coordinates
Step 206：As module numbering i >=2, step 207 is performed, otherwise goes to step 208；
Step 207：Calculate the splicing lower contact length of antenna back frame parabola i-th of direction module and the i-th -1 module
Step 208：Calculate the expansion bore C in current parabola directioni-1；
Step 209：If the expansion bore C in parabola directioni-1＜ C, then step 210 is gone to, otherwise goes to step 211；
Step 210：Update module numbering i=i+1；
Step 211：Calculate parabola direction module total number num_p=2i-1；
Step 212：The output module anglec of rotation and module splicing lower contact length；
Step 105 described in Fig. 1, comprise the following steps：
Step 501：Design requirement δ to the standing wire net errors of principles*；
Step 502：Calculate the maximum length of rope net parabola direction rope section
Step 503：Bore D to standing wire neta, determine the segments num_l in rope net parabola direction：
Wherein, the situation of rope net parabola direction segmentation is as shown in Figure 10, and the stain in figure represents the waypoint of rope net；
Step 504：The preferable geometric configuration in rope net parabola direction in generation；
Step 505：It is D that upper rope net, which is regarded as by two bores,aRope net is formed in/2 part, as shown in figure 11, with
Point pA1With the x of point pB line as local coordinate system 11' axle, z1' axle is perpendicular to x1' axle, the origin of local coordinate system 1 is point
pA1With the midpoint of point pB line；To the upper rope gateway of left side part in local coordinate system x1' axle makees antisymmetry projection, and is thrown
Shadow is along z1' axle negative direction translation Δ z1Distance, obtain the preferable geometric configuration of lower rope net, as shown in figure 11.Similarly, to the right
Part on rope net make same treatment；
Step 506：Rope net node corresponding to upper and lower rope net is connected, establishes its vertical rope, obtains a rope net parabola side
To the sub- configuration of preferable geometry；Wherein, the sub- configuration of preferable geometry in rope net parabola direction can be divided into two classes, as shown in figure 12,
Figure 12 (a) is the sub- configuration of rope net parabola direction ideal geometry of antenna back frame boundary, and Figure 12 (b) is antenna back frame inner cable
The sub- configuration of preferable geometry in net parabola direction；
Step 507：The reason in (2num_b-1) individual rope net parabola direction is equably generated along the base direction of antenna
Think the sub- configuration of geometry；
Step 508：The adjacent sub- configuration of preferable geometry is connected along base direction, ultimately generates the overall preferable of day clue net
Geometric configuration, as shown in figure 13；
Step 106 described in Fig. 1, comprise the following steps：
Step 601：Under conditions of rope net ideal geometric configuration is constant, the boundary point of geometric configuration is given, such as Figure 14 institutes
Show；
Step 602：Establish the equilibrium equation of rope net node；
Step 603：The rope net pretension that condition is met by solving the equilibrium equation is distributed, and then realizes rope net
Form Design；
Step 107 described in Fig. 1, comprise the following steps：
Step 701：The normal distance of joint is connected to antenna back frame module spliced to standing wire selvage circle point, so as to establish antenna
The small montant of backrest, realizes the connection of antenna back frame and rope net；
Step 702：Based on finite element analysis software ANSYS, the FEM model of rope net and antenna back frame is established, obtains rope
Net-backrest combining structure model, as shown in figure 15；
Step 703：Statics Analysis is carried out to rope net-backrest combining structure model, obtains the upper rope net after the deformation of rope net
Node root-mean-square error RMS and antenna back frame maximum deformation quantity；
Step 704：Using the thinking of inverse iteration, the upper rope net node coordinate iteration of rope net geometric configuration is updated so that
After rope net-backrest combining structure model carries out statics Analysis, upper rope net node root-mean-square error RMS meets antenna surface accuracy
Design requirement.
To sum up, the present invention proposes a kind of design side of the netted Deployable antenna of parabolic cylinder based on module splicing thought
Method, this method are mainly based upon modular design method, and opening up for parabolic-cylinder antenna is spliced into using the less module of species
Backrest；And block design has been carried out to rope net form, the expansion height that can effectively reduce antenna is close with the face of parabolic-cylinder antenna
Degree.By this method can design a kind of new heavy caliber, high accuracy, lightweight the netted deployable antenna of parabolic cylinder, it is right
Practical Project has certain directive significance.
Advantages of the present invention includes：1) back of the body is opened up by using what the less module of species was spliced into parabolic-cylinder antenna
Frame；2) block design has been carried out to rope net form, can have effectively reduced the expansion height of antenna, and then reduced the surface density of antenna；
3) design of a kind of new heavy caliber, high accuracy, the netted deployable antenna of the parabolic cylinder of lightweight can be achieved.
There is no the known conventional means of the part category industry described in detail in present embodiment, do not chat one by one here
State.It is exemplified as above be only to the present invention for example, do not form the limitation to protection scope of the present invention, it is every with this
Same or analogous design is invented to belong within protection scope of the present invention.
Claims (4)
1. a kind of design method of the netted deployable antenna of parabolic cylinder based on Modularized splice thought, it is characterized in that：Including
Following steps：
Step 101：The structural parameters of given parabolic-cylinder antenna backrest, the expansion bore C comprising antenna back frame parabola direction,
Length of run L, backrest height H, the parabola direction cross bar length l of base directionp, base direction cross bar length lb, three-dimensional joint
Length h1, five to joint length h2And parabola direction module splicing top connection length Tup；
Step 102：Calculate the total number of modules mesh num_p in antenna back frame parabola direction；
Step 103：Calculate the total number of modules mesh num_b of antenna back frame base direction；
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Step 104：Given antenna back frame parabola direction and base direction rib number, determine the final configuration of backrest；
Step 105：According to the design requirement δ of given antenna back frame structure and the rope net errors of principles*, calculate rope net parabola side
To segments num_l, and then determine rope net topological relation, obtain the preferable geometric configuration of rope net；
Step 106：Under conditions of rope net ideal geometric configuration is constant, node equilibrium equation is established, and solve the nodal force
Equilibrium equation is met the rope net pretension distribution of condition, realizes the form Design of rope net；
Step 107：The FEM model of rope net-back frame structure is established, and it is combined and looks for shape so that after antenna deformation
Surface accuracy meets design requirement.
A kind of 2. design side of the netted deployable antenna of parabolic cylinder based on Modularized splice thought as claimed in claim 1
Method, it is characterized in that：Described step 102, comprise the following steps：
Step 201：Parabolic equation z=ax where given antenna back frame2, wherein,F is the focal length of antenna；
Step 202：The initial value i=1 of antenna back frame parabola direction module numbering is set；
Step 203：Calculate the anglec of rotation θ of i-th of modulei；
Step 204：Calculate the upper end point coordinates of the distal end montant of i-th of moduleWith lower end point coordinates
Step 205：Calculate the lower end point coordinates of i-th of module near-end montantSat with the upper extreme point of central vertical rod
Mark
Step 206：As module numbering i >=2, step 207 is performed, otherwise goes to step 208；
Step 207：Calculate the splicing lower contact length of antenna back frame parabola i-th of direction module and the i-th -1 module
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Step 209：If the expansion bore C in parabola directioni-1＜ C, then step 210 is gone to, otherwise goes to step 211；
Step 210：Update module numbering i=i+1；
Step 211：Calculate parabola direction module total number num_p=2i-1；
Step 212：The output module anglec of rotation and module splicing lower contact length.
A kind of 3. design side of the netted deployable antenna of parabolic cylinder based on Modularized splice thought as claimed in claim 1
Method, it is characterized in that：Described step 105, comprise the following steps：
Step 501：Design requirement δ to the standing wire net errors of principles*；
Step 502：Calculate the maximum length of rope net parabola direction rope section
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<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>4</mn>
<mo>)</mo>
</mrow>
</mrow>
Step 503：Bore D to standing wire neta, the segments num_l in calculating rope net parabola direction；
<mrow>
<mi>n</mi>
<mi>u</mi>
<mi>m</mi>
<mo>_</mo>
<mi>l</mi>
<mo>=</mo>
<mi>I</mi>
<mi>N</mi>
<mi>T</mi>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>D</mi>
<mi>a</mi>
</msub>
<mrow>
<mn>2</mn>
<msubsup>
<mi>L</mi>
<mrow>
<mi>m</mi>
<mi>a</mi>
<mi>x</mi>
</mrow>
<mrow>
<mi>c</mi>
<mi>a</mi>
<mi>b</mi>
<mi>l</mi>
<mi>e</mi>
</mrow>
</msubsup>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>5</mn>
<mo>)</mo>
</mrow>
</mrow>
Step 504：The preferable geometric configuration in rope net parabola direction in generation；
Step 505：It is D that upper rope net, which is regarded as by two bores,aRope net is formed in/2 part, respectively to rope in two parts
The preferable geometric configuration of net carries out antisymmetry on the x ' axles of its local coordinate system, obtains the preferable geometric configuration of lower rope net；
Step 506：Rope net node corresponding to upper and lower rope net is connected, establishes its vertical rope, obtains rope net parabola direction
The preferable sub- configuration of geometry；
Step 507：The preferable geometry in (2*num_b-1) individual rope net parabola direction is equably generated along the base direction of antenna
Sub- configuration；
Step 508：The adjacent sub- configuration of preferable geometry is connected along base direction, ultimately generates the preferable geometry structure of entirety of rope net
Type.
A kind of 4. design side of the netted deployable antenna of parabolic cylinder based on Modularized splice thought as claimed in claim 1
Method, it is characterized in that：Described step 107, comprise the following steps：
Step 701：The normal distance of joint is connected to antenna back frame module spliced to standing wire selvage circle point, so as to establish antenna back frame
Small montant, realize the connection of antenna back frame and rope net；
Step 702：Based on finite element analysis software ANSYS, establish the FEM model of rope net and antenna back frame, obtain rope net-
Backrest combining structure model；
Step 703：Statics Analysis is carried out to rope net-backrest combining structure model, obtains the upper rope net node after the deformation of rope net
Root-mean-square error RMS and antenna back frame maximum deformation quantity；
Step 704：Using inverse iteration method, the upper rope net node coordinate iteration of rope net geometric configuration is updated so that the rope net-back of the body
After frame combining structure model carries out statics Analysis, upper rope net node root-mean-square error RMS meets the design of antenna surface accuracy
It is required that.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108614916A (en) * | 2018-03-29 | 2018-10-02 | 西安电子科技大学 | A kind of method of the large-scale frivolous active phase array antenna wavefront distortion of quick compensation |
Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS6022802A (en) * | 1983-03-01 | 1985-02-05 | Toshiba Corp | Parabolic antenna device |
| EP0186496A2 (en) * | 1984-12-26 | 1986-07-02 | Sharp Kabushiki Kaisha | Antenna system for circularly polarized waves |
| JPS63226102A (en) * | 1987-03-16 | 1988-09-20 | Oki Electric Ind Co Ltd | Parabolic cylinder antenna sharing two polarized waves |
| CN103354303A (en) * | 2013-06-13 | 2013-10-16 | 西安电子科技大学 | Expandable mesh parabolic cylinder antenna |
| CN103761369A (en) * | 2014-01-02 | 2014-04-30 | 西安电子科技大学 | Initial form design method of deployable offset parabolic antenna cable net structure |
| CN104009278A (en) * | 2014-06-09 | 2014-08-27 | 哈尔滨工业大学 | Modularized space parabolic cylinder antenna folding and unfolding mechanism |
| CN104573372A (en) * | 2015-01-19 | 2015-04-29 | 西安电子科技大学 | Reticular deployable antenna deploying process cable force analysis method |
| CN105740517A (en) * | 2016-01-25 | 2016-07-06 | 西安电子科技大学 | Satellite-borne netted deployable antenna structure optimizing method in consideration of on-orbit thermal environment |
| CN106602207A (en) * | 2016-12-01 | 2017-04-26 | 西安电子科技大学 | Quadrangular modularized deployable parabolic cylinder antenna |
-
2017
- 2017-07-26 CN CN201710616221.5A patent/CN107436978B/en active Active
Patent Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS6022802A (en) * | 1983-03-01 | 1985-02-05 | Toshiba Corp | Parabolic antenna device |
| EP0186496A2 (en) * | 1984-12-26 | 1986-07-02 | Sharp Kabushiki Kaisha | Antenna system for circularly polarized waves |
| JPS63226102A (en) * | 1987-03-16 | 1988-09-20 | Oki Electric Ind Co Ltd | Parabolic cylinder antenna sharing two polarized waves |
| CN103354303A (en) * | 2013-06-13 | 2013-10-16 | 西安电子科技大学 | Expandable mesh parabolic cylinder antenna |
| CN103761369A (en) * | 2014-01-02 | 2014-04-30 | 西安电子科技大学 | Initial form design method of deployable offset parabolic antenna cable net structure |
| CN104009278A (en) * | 2014-06-09 | 2014-08-27 | 哈尔滨工业大学 | Modularized space parabolic cylinder antenna folding and unfolding mechanism |
| CN104573372A (en) * | 2015-01-19 | 2015-04-29 | 西安电子科技大学 | Reticular deployable antenna deploying process cable force analysis method |
| CN105740517A (en) * | 2016-01-25 | 2016-07-06 | 西安电子科技大学 | Satellite-borne netted deployable antenna structure optimizing method in consideration of on-orbit thermal environment |
| CN106602207A (en) * | 2016-12-01 | 2017-04-26 | 西安电子科技大学 | Quadrangular modularized deployable parabolic cylinder antenna |
Non-Patent Citations (6)
| Title |
|---|
| DONGWU YANG ET AL: "Optimal surface profile design of deployable mesh reflectors via a force density strategy", 《ACTA ASTRONAUTICA》 * |
| YIQUN ZHANG ET AL: "Dynamic analysis of the deployment for mesh reflector deployable antennas with the cable-net structure", 《ACTA ASTRONAUTICA》 * |
| 张逸群等: "空间可展开天线多态结构分析及优化设计", 《振动与冲击》 * |
| 张逸群等: "空间可展开天线展开过程轨迹与控制系统集成设计", 《机械工程学报》 * |
| 朱加炉等: "天籁实验抛物柱面天线阵结构设计与力学分析", 《天文研究与技术》 * |
| 茹文锐等: "一种周边桁架式可展开天线展开过程的索网张力分析方法", 《空间电子技术》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108614916A (en) * | 2018-03-29 | 2018-10-02 | 西安电子科技大学 | A kind of method of the large-scale frivolous active phase array antenna wavefront distortion of quick compensation |
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