CN106295035A - The Electrostatic deformation film antenna shape adjustment method of optimization is worked in coordination with based on voltage and bitter end position - Google Patents
The Electrostatic deformation film antenna shape adjustment method of optimization is worked in coordination with based on voltage and bitter end position Download PDFInfo
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- CN106295035A CN106295035A CN201610676531.1A CN201610676531A CN106295035A CN 106295035 A CN106295035 A CN 106295035A CN 201610676531 A CN201610676531 A CN 201610676531A CN 106295035 A CN106295035 A CN 106295035A
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
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- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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Abstract
The invention discloses a kind of Electrostatic deformation film antenna shape adjustment method working in coordination with optimization based on voltage and bitter end position, being primarily based on the Electrostatic deformation film antenna Entity measurement information completed and set up Electrostatic deformation film antenna FEM (finite element) model, end node initial position fixed by given initial electrode magnitude of voltage and rope；Then fix end node location as optimizing design variable the given bound optimizing design variable using electrode voltage value and rope, be analyzed optimization using pellicular front node matching surface accuracy as optimization aim；Finally obtain optimum results, and electrode voltage in kind and bitter end position are adjusted by optimizing the end value obtained, be allowed to meet required precision.The present invention can improve the effect carrying out pellicular front shape adjustment merely with electrode voltage, and bitter end position adjustment is easier to realize relative to cable force adjustment in Practical Project, overcomes and utilizes FEM (finite element) model to influence each other between each Suo Li when instructing mock-up to adjust the problem being difficult to Project Realization.
Description
Technical field
The invention belongs to Radar Antenna System field, particularly relate to a kind of work in coordination with the quiet of optimization based on voltage with bitter end position
Electrical forming film antenna shape adjustment method.
Background technology
The operation principle of Electrostatic deformation film antenna (ECDMA) is to be coated with the film reflector face of metal level and controlling electrode
The voltage (general thin film is equivalent zero gesture face, and electrode is high potential) that upper applying is different, produces electrostatic force and stretches thin film,
So that thin film is formed has a reflecting surface focusing footpath ratio.Electrode voltage is adjusted in real time by power supply, it is possible to achieve right
The timely compensation of reflecting surface shape surface error.Additionally, in order to improve the adjustment energy to film reflector face surface accuracy further
Power, film edge utilizes rope stretch-draw to sub-truss, by voltage and rope, film reflector face can be carried out corrdinated adjustment.
But common problem is in the industry, just with electrode voltage, film reflector face surface accuracy is adjusted
Limitation, and when utilizing voltage and Suo Li jointly to adjust, in Practical Project, be difficult to strictly be adjusted to Suo Li setting,
FEM (finite element) model how is utilized effectively to instruct Electrostatic deformation film antenna shape adjustment to be current problem demanding prompt solution.
Summary of the invention
Present invention aim at providing a kind of Electrostatic deformation film antenna shape working in coordination with optimization based on voltage and bitter end position
Face method of adjustment, it is intended to the problem solving to utilize FEM (finite element) model effectively to instruct Electrostatic deformation film antenna shape adjustment.For
Paraballon, flat film antenna etc. relate to flexible structure, utilize face external force and corrdinated adjustment shape face, rope position, border, the present invention
Stand good.
The technical scheme is that the Electrostatic deformation film antenna shape face tune working in coordination with optimization based on voltage and bitter end position
Adjusting method, comprises the following steps:
1) according to the target space of points positional information measured on the Electrostatic deformation film antenna mock-up completed
Set up Electrostatic deformation film antenna FEM (finite element) model；
2) given Electrostatic deformation film antenna FEM (finite element) model constraints, i.e. drag-line outermost end modal displacement are all solid
Fixed；
3) using electrode voltage value and bitter end position as design variable, given design variable initial value and design variable are upper and lower
Limit；
4) design variable is normalized；
5) the given Electrostatic deformation film antenna prestressing force when dead-weight balanced state；
6) it is optimized analysis using film reflector face node matching surface accuracy as object function；
7) analysis optimization result, the Electrostatic deformation film antenna shape face completing to work in coordination with optimization based on voltage and bitter end position is adjusted
Whole.
Above-mentioned steps 1) described according to the target measured on the Electrostatic deformation film antenna mock-up that completed
Punctuate spatial positional information sets up Electrostatic deformation film antenna FEM (finite element) model, and its concrete steps include:
(1) on Electrostatic deformation film antenna mock-up, measurement target drone point is posted, it is desirable to film reflector posts M on face1
Individual target point, it is desirable to M1Individual target point is covered with the distance between whole film reflector face and any two target point at 5-10cm
In the range of, drag-line two ends post M2=2N2Individual target point, wherein N2For drag-line number,；
(2) photogrammetric technology is utilized to obtain the spatial positional information of all targets point；
(3) the target space of points positional information recorded is utilized to set up M=M1+M2Individual node, and according on film reflector face
Node sets up N1Individual thin film triangular element, sets up N according to the node at drag-line two ends2Individual drag-line unit.
Above-mentioned steps 3) described in using electrode voltage value and bitter end position as design variable, given design variable initial value
Specifically include with design variable bound: given design variable vector X=[x1x2...xJ+K]T, wherein first J is electrode voltage
Value design variable, rear K is drag-line fixing end Z-direction Position Design variable, given design variable initial value X0=
[x10x20...x(J+K)0]T, given design variable boundWhereinx i WithIt is respectively i-th design variable xi's
Lower limit and higher limit.
Above-mentioned steps 4) described in design variable be normalized specifically include: design variable is converted toWherein i-th design variable xiBe converted toDesign variable initial value is converted toWherein i-th design variable initial value xi0Be converted to Complete design becomes
Amount normalized.
Above-mentioned steps 5) described in the given Electrostatic deformation film antenna prestressing force when dead-weight balanced state, it specifically walks
Suddenly include:
(1) apply structural initial pre stress value PF0 to Electrostatic deformation film antenna FEM (finite element) model；
(2) ANSYS finite element analysis software is utilized to calculate FEM (finite element) model pellicular front under prestressing force PF0 and gravitational load
Each modal displacement and balance prestressing force PF1；
(3) according to finite element analysis displacement convergence criterion, it is judged that pellicular front each modal displacement root-mean-squareIt is
No it is less than 0.01, wherein δiFor the shift value of each node, M1For film reflector face nodes, the most then solve obtain given
The Electrostatic deformation film antenna prestressing force PF0 when dead-weight balanced state；If it is not, make structural initial pre stress value PF0=PF1, forward to
Structural initial pre stress value PF0 is applied to Electrostatic deformation film antenna FEM (finite element) model.
Above-mentioned steps 6) described in be optimized point using film reflector face node matching surface accuracy as object function
Analysis, its concrete steps include:
(1) given object functionWherein, RMS is node matching shape face, film reflector face essence
Degree, ziFor i-th film reflector face node Z-direction physical location,For i-th node Z-direction position on the best-fit paraboloid；
(2) utilize sensitivity Optimization Method to have the Optimized model of design variable bound, obtain each design variable
Optimal correction amount Δ X=[Δ x1Δx2...ΔxJ+K]TSo that target function value RMS is minimum；
(3) electrode voltage value and the bitter end position X'=X of optimum are obtained0+ Δ X, completes with the node matching of film reflector face
Surface accuracy is as the optimization analysis of object function.
Above-mentioned steps 7) described in analysis optimization result, complete the electrostatic based on voltage works in coordination with optimization with bitter end position and become
Shape film antenna shape adjustment, its concrete steps include:
(1) by the electrode voltage value of Electrostatic deformation film antenna mock-up and bitter end position adjustment to optimal value X'；
(2) utilize photogrammetric technology to measure the film reflector face each target dot position information after adjusting, calculate thin film anti-
Penetrate face node matching surface accuracy
(3) judge to adjust whether rear film reflecting surface node matching surface accuracy RMS meets design requirement, be then to complete
The Electrostatic deformation film antenna shape adjustment of optimization is worked in coordination with based on voltage and bitter end position；No, then change structural initial pre stress value
PF0, returns step 5).
Beneficial effects of the present invention: the Electrostatic deformation thin film working in coordination with optimization based on voltage and bitter end position that the present invention provides
Dwi hastasana face method of adjustment, it is possible to realize FEM (finite element) model and instruct Electrostatic deformation film antenna material object shape adjustment, and utilize
Optimization is worked in coordination with in voltage and bitter end position can preferably adjust film reflector face surface accuracy.
Accompanying drawing explanation
Fig. 1 is the Electrostatic deformation film antenna shape working in coordination with optimization based on voltage and bitter end position that the embodiment of the present invention provides
Face method of adjustment overview flow chart；
Fig. 2 is to measure on the Electrostatic deformation film antenna mock-up that the basis that the embodiment of the present invention provides has completed
Target space of points positional information set up Electrostatic deformation film antenna FEM (finite element) model flow chart；
Fig. 3 is the given Electrostatic deformation film antenna of the embodiment of the present invention offer prestressing force flow process when dead-weight balanced state
Figure；
Fig. 4 is being optimized point as object function using pellicular front node matching surface accuracy of providing of the embodiment of the present invention
Analysis flow chart；
Fig. 5 is the analysis optimization result that the embodiment of the present invention provides, and completes to work in coordination with optimization based on voltage and bitter end position
Electrostatic deformation film antenna shape adjustment flow chart；
Fig. 6 is Electrostatic deformation film antenna node and the cell schematics of embodiment of the present invention offer；
Fig. 7 is that the Electrostatic deformation film antenna that the embodiment of the present invention provides adjusts front nodal point site error scattergram；
Fig. 8 is that the Electrostatic deformation film antenna that the embodiment of the present invention provides adjusts posterior nodal point site error scattergram.
Detailed description of the invention
In order to make the purpose of the present invention, technical scheme and advantage clearer, below in conjunction with embodiment, to the present invention
It is further elaborated.Should be appreciated that specific embodiment described herein, only in order to explain the present invention, is not used to
Limit the present invention.
The invention provides a kind of Electrostatic deformation film antenna shape adjustment working in coordination with optimization based on voltage and bitter end position
Method, instructs Electrostatic deformation film antenna shape face for utilizing the electrode voltage in FEM (finite element) model to work in coordination with optimization with bitter end position
Adjust.Below in conjunction with the accompanying drawings the application principle of the present invention is explained in detail.
The Electrostatic deformation film antenna shape adjustment side working in coordination with optimization based on voltage and bitter end position of the embodiment of the present invention
Method comprises the following steps:
1) according to the target space of points positional information measured on the Electrostatic deformation film antenna mock-up completed
Set up Electrostatic deformation film antenna FEM (finite element) model；
2) given Electrostatic deformation film antenna FEM (finite element) model constraints, i.e. drag-line outermost end modal displacement are all solid
Fixed；
3) using electrode voltage value and bitter end position as design variable, given design variable initial value and design variable are upper and lower
Limit；
4) design variable is normalized；
5) the given Electrostatic deformation film antenna prestressing force when dead-weight balanced state；
6) it is optimized analysis using film reflector face node matching surface accuracy as object function；
7) analysis optimization result, the Electrostatic deformation film antenna shape face completing to work in coordination with optimization based on voltage and bitter end position is adjusted
Whole.
Wherein Fig. 1 is the Electrostatic deformation thin film sky working in coordination with optimization based on voltage and bitter end position that the embodiment of the present invention provides
Linear method of adjustment overview flow chart.
As in figure 2 it is shown, above-mentioned step 1), it is specifically related to following steps:
(1) on Electrostatic deformation film antenna mock-up, measurement target drone point is posted, it is desirable to film reflector posts M on face1
Individual target point, it is desirable to M1Individual target point is covered with the distance between whole film reflector face and any two target point at 5-10cm
In the range of, drag-line two ends post M2=2N2Individual target point, wherein N2For drag-line number,；
(2) photogrammetric technology is utilized to obtain the spatial positional information of all targets point；
(3) the target space of points positional information recorded is utilized to set up M=M1+M2Individual node, and according on film reflector face
Node sets up N1Individual thin film triangular element, sets up N according to the node at drag-line two ends2Individual drag-line unit.
Wherein above-mentioned steps 3), specifically include: given design variable vector X=[x1x2...xJ+K]T, wherein first J is electricity
Pole tension value design variable, rear K is drag-line fixing end Z-direction Position Design variable, given design variable initial value X0=
[x10x20...x(J+K)0]T, given design variable boundWhereinx i WithIt is respectively i-th design variable xi's
Lower limit and higher limit.
Wherein above-mentioned steps 4), specifically include: design variable is converted toWherein i-th design becomes
Amount xiBe converted toDesign variable initial value is converted toWherein i-th sets
Meter initial guess xi0Be converted toComplete design variable normalized.
As it is shown on figure 3, above-mentioned step 5), it is specifically related to following steps:
(1) apply structural initial pre stress value PF0 to Electrostatic deformation film antenna FEM (finite element) model；
(2) ANSYS finite element analysis software is utilized to calculate FEM (finite element) model pellicular front under prestressing force PF0 and gravitational load
Each modal displacement and balance prestressing force PF1；
(3) according to finite element analysis displacement convergence criterion, it is judged that pellicular front each modal displacement root-mean-squareIt is
No it is less than 0.01, wherein δiFor the shift value of each node, M1For film reflector face nodes, the most then solve obtain given
The Electrostatic deformation film antenna prestressing force PF0 when dead-weight balanced state；If it is not, make structural initial pre stress value PF0=PF1, forward to
Structural initial pre stress value PF0 is applied to Electrostatic deformation film antenna FEM (finite element) model.
As shown in Figure 4, above-mentioned step 6), it is specifically related to following steps:
(1) given object functionWherein, RMS is node matching shape face, film reflector face essence
Degree, ziFor i-th film reflector face node Z-direction physical location,For i-th node Z-direction position on the best-fit paraboloid；
(2) utilize sensitivity Optimization Method to have the Optimized model of design variable bound, obtain each design variable
Optimal correction amount Δ X=[Δ x1Δx2...ΔxJ+K]TSo that target function value RMS is minimum；
(3) electrode voltage value and the bitter end position X'=X of optimum are obtained0+ Δ X, completes with the node matching of film reflector face
Surface accuracy is as the optimization analysis of object function.
As it is shown in figure 5, above-mentioned step 7), it is specifically related to following steps:
(1) by the electrode voltage value of Electrostatic deformation film antenna mock-up and bitter end position adjustment to optimal value X'；
(2) utilize photogrammetric technology to measure the film reflector face each target dot position information after adjusting, calculate thin film anti-
Penetrate face node matching surface accuracy
(3) judge to adjust whether rear film reflecting surface node matching surface accuracy RMS meets design requirement, be then to complete
The Electrostatic deformation film antenna shape adjustment of optimization is worked in coordination with based on voltage and bitter end position；No, then change structural initial pre stress value
PF0, returns step 5).
Below in conjunction with emulation experiment, the application effect of the present invention is explained in detail.
Simulated conditions:
The Electrostatic deformation film antenna model machine completed posts M=691 measurement target drone point, utilizes photography
Measurement technology obtains the coordinate of target point and then sets up corresponding finite element node and unit such as Fig. 6, total N1=1128 thin
Film triangular element, N2=36 cable elements, the outer end node of rope is fixed entirely.In order to embody the accuracy of the present invention, be given here
Utilize the film reflector face surface accuracy before and after voltage and bitter end position adjustment, if Fig. 7 is initial film reflecting surface node position
Put error cloud charts, initial surface accuracy RMS0=0.7066mm；Such as Fig. 8, optimize the electrode voltage and rope obtained for applying
End position rear film reflecting surface node location error cloud charts, surface accuracy RMS=0.5207mm after adjustment.Understand according to this
Invention carries out the surface accuracy adjustment of Electrostatic deformation film reflector face can obtain good effect.
To sum up, the Electrostatic deformation film antenna shape adjustment working in coordination with optimization based on voltage and bitter end position that the present invention provides
Method, it is possible to realize FEM (finite element) model and instruct Electrostatic deformation film antenna material object shape adjustment, and utilize voltage and bitter end position
Put collaborative optimization and can preferably adjust film reflector face surface accuracy.
The foregoing is only presently preferred embodiments of the present invention, not in order to limit the present invention, all essences in the present invention
Any amendment, equivalent and the improvement etc. made within god and principle, should be included within the scope of the present invention.This
Part that embodiment describes the most in detail and english abbreviation belong to the common knowledge of the industry, may search on the net, the most not
Describe one by one.
Claims (7)
1. work in coordination with the Electrostatic deformation film antenna shape adjustment method of optimization based on voltage and bitter end position, it is characterised in that bag
Include following steps:
1) set up according to the target space of points positional information measured on the Electrostatic deformation film antenna mock-up completed
Electrostatic deformation film antenna FEM (finite element) model；
2) given Electrostatic deformation film antenna FEM (finite element) model constraints, i.e. drag-line outermost end modal displacement is all fixed；
3) using electrode voltage value and bitter end position as design variable, given design variable initial value and design variable bound；
4) design variable is normalized；
5) the given Electrostatic deformation film antenna prestressing force when dead-weight balanced state；
6) it is optimized analysis using film reflector face node matching surface accuracy as object function；
7) analysis optimization result, completes to work in coordination with the Electrostatic deformation film antenna shape adjustment of optimization based on voltage and bitter end position.
2. the Electrostatic deformation film antenna shape adjustment side of optimization is worked in coordination with as claimed in claim 1 based on voltage and bitter end position
Method, it is characterised in that step 1) specifically include following steps:
(1) posting measurement target drone point on Electrostatic deformation film antenna mock-up, film reflector posts M on face1Individual target point,
Require M1Individual target point is covered with the distance between whole film reflector face and any two target point in the range of 5-10cm, draws
Rope two ends post M2=2N2Individual target point, wherein N2For drag-line number；
(2) photogrammetric technology is utilized to obtain the spatial positional information of all targets point；
(3) the target space of points positional information recorded is utilized to set up M=M1+M2Individual node, and according to the node on film reflector face
Set up N1Individual thin film triangular element, sets up N according to the node at drag-line two ends2Individual drag-line unit.
3. the Electrostatic deformation film antenna shape adjustment side of optimization is worked in coordination with as claimed in claim 1 based on voltage and bitter end position
Method, it is characterised in that step 3) specifically include: given design variable X=[x1x2...xJ+K]T, wherein first J is electrode voltage
Value design variable, rear K is drag-line fixing end Z-direction Position Design variable, given design variable initial value X0=
[x10x20...x(J+K)0]T, given design variable boundWherein xiWithIt is respectively i-th design variable xi's
Lower limit and higher limit.
4. the Electrostatic deformation film antenna shape adjustment side of optimization is worked in coordination with as claimed in claim 1 based on voltage and bitter end position
Method, it is characterised in that step 4) described in design variable be normalized specifically include: design variable is converted toWherein i-th design variable xiBe converted to Design variable initial value is converted toWherein i-th design variable initial value xi0Be converted toComplete design
Variable normalized.
5. the Electrostatic deformation film antenna shape adjustment side of optimization is worked in coordination with as claimed in claim 1 based on voltage and bitter end position
Method, it is characterised in that step 5) specifically include following steps:
(1) apply structural initial pre stress value PF0 to Electrostatic deformation film antenna FEM (finite element) model；
(2) utilize ANSYS finite element analysis software to calculate FEM (finite element) model pellicular front under prestressing force PF0 and gravitational load respectively to save
Point displacement and balance prestressing force PF1；
(3) according to finite element analysis displacement convergence criterion, it is judged that pellicular front each modal displacement root-mean-squareWhether it is less than
0.01, wherein δiFor the shift value of each node, M1For film reflector face nodes, the most then solve and obtain given electrostatic
The shape film antenna prestressing force PF0 when dead-weight balanced state；If it is not, make structural initial pre stress value PF0=PF1, forward to electrostatic
Formed film antenna FEM (finite element) model applies structural initial pre stress value PF0.
6. the Electrostatic deformation film antenna shape adjustment side of optimization is worked in coordination with as claimed in claim 1 based on voltage and bitter end position
Method, it is characterised in that step 6) specifically include following steps:
(1) given object functionWherein, RMS is film reflector face node matching surface accuracy, zi
For i-th film reflector face node Z-direction physical location,For i-th node Z-direction position on the best-fit paraboloid；
(2) utilize sensitivity Optimization Method to have the Optimized model of design variable bound, obtain the optimum of each design variable
Adjustment amount Δ X=[Δ x1Δx2...ΔxJ+K]TSo that target function value RMS is minimum；
(3) electrode voltage value and the bitter end position X'=X of optimum are obtained0+ Δ X, completes with node matching shape face, film reflector face essence
Spend the optimization analysis as object function.
7. the Electrostatic deformation film antenna shape adjustment side of optimization is worked in coordination with as claimed in claim 1 based on voltage and bitter end position
Method, it is characterised in that step 7) specifically include following steps:
(1) by the electrode voltage value of Electrostatic deformation film antenna mock-up and bitter end position adjustment to optimal value X'；
(2) utilize photogrammetric technology to measure the film reflector face each target dot position information after adjusting, calculate film reflector face
Node matching surface accuracy
(3) judge adjust rear film reflecting surface node matching surface accuracy RMS whether meet design requirement, be, then complete based on
The Electrostatic deformation film antenna shape adjustment of optimization is worked in coordination with in voltage and bitter end position；No, then change structural initial pre stress value PF0, return
Return step 5).
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| CN115270540A (en) * | 2022-05-26 | 2022-11-01 | 青岛科技大学 | Cable membrane truss antenna optimization design method |
| CN115730478A (en) * | 2022-11-01 | 2023-03-03 | 哈尔滨工业大学 | Feedback and estimation method and system for dynamic response surface type of space tensioned membrane structure |
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