CN105510881B - A kind of Electrostatic deformation film antenna radial cable length adjuster and method of adjustment - Google Patents

A kind of Electrostatic deformation film antenna radial cable length adjuster and method of adjustment Download PDF

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Publication number
CN105510881B
CN105510881B CN201510814438.8A CN201510814438A CN105510881B CN 105510881 B CN105510881 B CN 105510881B CN 201510814438 A CN201510814438 A CN 201510814438A CN 105510881 B CN105510881 B CN 105510881B
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mrow
rope
adjustment
film reflector
mfrac
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CN105510881A (en
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姜文明
杜敬利
谷永振
秦东宾
张逸群
张树新
杨癸庚
谢靓
李军
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Xidian University
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Xidian University
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/003—Transmission of data between radar, sonar or lidar systems and remote stations
    • G01S7/006—Transmission of data between radar, sonar or lidar systems and remote stations using shared front-end circuitry, e.g. antennas

Abstract

The invention discloses a kind of Electrostatic deformation film antenna radial cable length adjuster and method of adjustment, shapes and controls for Electrostatic deformation film reflector surface antenna, carries out boundary adjustment, including：Setting models primary condition, Structure Calculation is carried out, extract in simulation model film reflector face diameter to drag-line strain value；Connect regulator for stretching wire and cable force measurement display device；Dynamometry software is run, real-time display monitors the change of rope force value；Cable force measurement and the adjustment of film reflector face precision are carried out, minor adjustment amount is applied to each border radial direction drag-line, calculates the variable quantity of the axial residual error of each node, the long adjustment amount of each rope and corresponding rope force value are obtained after obtaining sensitive matrix.The present invention can fast and accurately measure rope force value during Electrostatic deformation film reflector surface antenna voltage change, be that numeral is readable, can intuitively observe the change, effectively realize the real-time measurement to rope force value, facilitate the adjustment of film reflector face precision.

Description

A kind of Electrostatic deformation film antenna radial cable length adjuster and method of adjustment
Technical field
The invention belongs to Radar Antenna System field, more particularly to a kind of Electrostatic deformation film antenna radial cable length adjustment Device and method of adjustment.
Background technology
The fast development of Space Science and Technology proposes higher and higher requirement to spaceborne deployable antenna, is mainly manifested in big mouth Two aspects in footpath and high accuracy.For example, NASA space borne meteorological radar of future generation requires that bore reaches 35m, frequency is up to 35GHz, in-orbit surface accuracy reach 0.17mm.And the field such as future communications, remote sensing of the earth detection is also to heavy caliber, high-precision Satellite antenna has pent-up demand.But the spaceborne reflector antenna of development more maturation is all difficult to meet big mouth simultaneously at present Footpath, high-precision requirement.Therefore, occur Electrostatic deformation film reflector surface antenna, inflation piezoelectric membrane reflector antenna and A variety of new ideas antennas such as shape-memory polymer inflation mixing deployable antenna.The deployable day in Electrostatic deformation film reflector face Line, the face shape maintenance under surface density, expanding performance and On orbit thermal environment etc., with prominent advantage, therefore by The highest attention of numerous international aerospace research mechanisms and widely studied.Electrostatic deformation film reflector surface antenna is by high pressure Electrostatic field is formed between electrode and ground connection metal-coated films, controls a kind of active of film reflector face surface configuration anti-by electrostatic force Penetrate face.Since the end of the seventies in last century, lot of domestic and international research institution has all carried out to Electrostatic deformation film reflector face day The research of line.2004, SRS.technologys companies of the U.S. and Northrop Grumman companies carried out application first Research, and bore 5m principle prototype has been made, prototyping testing is completed, Electrostatic deformation theory is verified.Electrostatic into Shape film reflector face deployable antenna, by astromesh structures, film support ring, to be laid on astromesh structure provinculums online High voltage control electrode, ground connection film and multichannel electric power system composition.Electrostatic deformation film reflector surface antenna periphery is fixed with The full fixed form of various ways, wherein border only relies on electrostatic force formed film reflecting surface, limits the adjustment in film reflector face Ability.Due to the thermal environment that space is complicated and changeable, the precision of film reflector surface antenna can change, therefore precision adjustment is thin One of critical function that film reflector antenna should have when space is on active service.At this moment it is necessary to by the tune of border drag-line and voltage It is whole to ensure the precision of reflecting surface.A kind of it is proposed to this end that Electrostatic deformation film reflector surface antenna radial direction Cable length adjustment side Method and cable force measurement device.
The content of the invention
It is an object of the invention to provide a kind of Electrostatic deformation film antenna radial cable length adjuster and method of adjustment.
The present invention is achieved in that a kind of Electrostatic deformation film antenna radial cable length regulating method, the electrostatic into The long method of adjustment of shape film antenna radial cable is used for the shaping control of Electrostatic deformation film reflector surface antenna, carries out boundary adjustment, bag Include：
Setting models primary condition, Structure Calculation is carried out, extracts in simulation model film reflector face diameter to drag-line strain value, Each Cable power design load F=E ε A are obtained by rope physical parameter in model, wherein：E is rope material Young's modulus of elasticity, ε is to carry Strain value, the A taken is rope cross-sectional area；
Connect regulator for stretching wire and cable force measurement display device；
Dynamometry software is run, real-time display monitors the change of rope force value；
Cable force measurement and the adjustment of film reflector face precision are carried out, minor adjustment amount is applied to each border radial direction drag-line, then Using measuring apparatus measure every time adjustment before and after each node of reflecting surface location coordinate information, then calculate each node axial direction it is residual The variable quantity of difference, the minor adjustment amount for finally growing the variable quantity of this axial residual error divided by rope, you can obtain axial residual error opposite side The sensitive matrix of boundary's Cable length, the long adjustment amount of each rope and corresponding rope force value are can obtain after obtaining the sensitive matrix.
Further, the progress cable force measurement and the adjustment of film reflector face precision comprise the following steps：
Proceed by rope length adjustment；
Ask sensitivity method to obtain the long adjustment amount of each rope with perturbation, the adjustment amount is converted into corresponding rope force value, i.e.,Wherein, F is the rope force value of design, E is rope material Young's modulus of elasticity, A is rope cross-sectional area, l0For Suo Yuanchang, Δ l is the long adjustment amount of rope.
Each border radial direction drag-line rope force value is applied to, then film reflector face is measured；
Judge now film reflector face precision, if not up to requiring, return adjustment amount, which is converted into corresponding rope force value, to be continued It is adjusted；If precision meets to require, stop.
Further, the adjustment amount is converted into corresponding rope force value and comprised the following steps：
The sensitivity that film displacement of joint grows to rope is asked according to following formula, forms each sensitivity vector, and write as matrix form：
Wherein, Δ l=| | Δ l | |2E, e=[0 ..., 1 ... 0]TIn the column vector only and liCorresponding i-th each yuan Element is 1, and remaining is all zero；
Face shape error { Δ δ } is expressed as the long adjustment amount Δ l of each rope and the linear combination of sensitivity：
It is { Δ δ }=A { Δ l } to be write as matrix form；
{ Δ l }=(A is solved with least square methodTA)-1A { Δ δ }, is obtained：
lk+1=lk+Δl；
If the film reflector face shape surface error measured now meets required precision, then it is assumed that rope force value meets requirement, can Stop, otherwise returning to the sensitivity for asking film displacement of joint to grow rope and continue.
Further, the connection regulator for stretching wire and cable force measurement display device specifically include：Deployable hoop truss, Clamping clamp, screw mandrel, nut, internal thread sleeve, locking device, platform, sensor, insulated bolt with holes, power display system；
Clamping clamp is assemblied on hoop truss, and nut precession screw mandrel, screw mandrel is put into clamping clamp hole, then precession spiral shell Mother, internal thread sleeve, which screws, to be coordinated with internal thread sleeve, is attached with locking device installed in screw mandrel upper end, platform, sensor peace It is filled on platform, insulated bolt precession sensor with holes, sensor attachment force display system.
Further, the application method of the connection regulator for stretching wire and cable force measurement display device：
Clamping clamp is assembled on hoop truss according to position line, and leveling；
By in the first nut precession screw mandrel, screw mandrel is arranged in clamping clamp hole, the nut of precession second, screw mandrel fixed On clamping clamp；
Internal thread sleeve is screwed installed in screw mandrel upper end；
Platform and internal thread sleeve are assembled, and connected the two by locking device, according to internal thread sleeve graduation mark, Adjustment platform inclination angle, locking,
Sensor is attached on platform, connects insulated bolt with holes, platform is adjusted by adjusting vertical supporting screw mandrel The orientation in face, the first nut, the second nut are then fastened, is finally completed the assembling of hardware components；
Film reflector face diameter is penetrated in insulated bolt with holes to drag-line and fixed；
Sensor force display system, i.e. software section are finally connected, completes the assembling of whole cable force measurement system.
Further, the inclination alpha computational methods are：Extract film reflector face drag-line both ends point coordinates A0(x0,y0,z0)、A1 (x1,y1,z1), wherein, A0For bitter end point six-freedom degree staff cultivation, A1For the coordinate of Structure Calculation film reflector face balance state, According to establishment of coordinate system
The long adjusting apparatus of Electrostatic deformation film antenna radial cable provided by the invention and method of adjustment, can be fast and accurately Rope force value during Electrostatic deformation film reflector surface antenna voltage change is measured, is that numeral is readable, can intuitively observe the change Change, effectively realize the real-time measurement to rope force value, facilitate the adjustment of film reflector face precision.The device of the present invention is simple, Measurement result is accurate, principle is reliable, easy to operate, there is provided from design to installation, measurement method, can be effective by this method The rope force value of film reflector face real-time change is measured, technical support is provided for the preparation of principle prototype.In addition, the present invention relies on side The adjustment of boundary's drag-line and voltage ensures that the precision of reflecting surface meets job requirement, it is proposed to this end that a kind of Electrostatic deformation film The adjustment of reflector antenna radial direction Cable length and device for measuring force, the development for engineering prototype have important practical significance.
Brief description of the drawings
Fig. 1 is the long method of adjustment flow chart of Electrostatic deformation film antenna radial cable provided in an embodiment of the present invention.
Fig. 2 is provided in an embodiment of the present invention to try to achieve each Suo Li design initial value flow chart.
Fig. 3 is clamping clamp three-view diagram provided in an embodiment of the present invention；
In figure：(a) clamping clamp front view；(b) clamping clamp top view；(c) clamping clamp left view.
Fig. 4 is screw mandrel provided in an embodiment of the present invention, nut structure diagram；
In figure：(a) screw mandrel；(b) nut 1；(c) nut 2.
Fig. 5 is internal thread tube-in-tube structure schematic diagram provided in an embodiment of the present invention；
In figure：(a) internal thread sleeve front view；(b) internal thread sleeve top view；(c) internal thread sleeve left view.
Fig. 6 is locking device structure schematic diagram provided in an embodiment of the present invention.
Fig. 7 is platform structure schematic diagram provided in an embodiment of the present invention；
In figure：(a) platform front view；(b) platform top view；(c) platform left view.
Fig. 8 is sensor construction schematic diagram provided in an embodiment of the present invention.
Fig. 9 is insulated bolt structural representation with holes provided in an embodiment of the present invention.
Figure 10 is that power provided in an embodiment of the present invention shows software system function schematic diagram.
Figure 11 is adjustment flow chart in film reflector face provided in an embodiment of the present invention.
Figure 12 is the long adjusting apparatus structural representation of Electrostatic deformation film antenna radial cable provided in an embodiment of the present invention.
Figure 13 is the long adjusting apparatus structural representation of rope provided in an embodiment of the present invention.
Figure 14 is adjustment iterativecurve schematic diagram provided in an embodiment of the present invention.
In figure：1st, clamping clamp；2nd, screw mandrel；3rd, the first nut, the second nut；4th, internal thread sleeve；5th, locking device；6th, put down Platform；7th, sensor；8th, insulated bolt with holes；9th, power display system.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, with reference to embodiments, to the present invention It is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, it is not used to Limit the present invention.
The present invention is on the basis of simulation result, designs a kind of Electrostatic deformation film reflector surface antenna border Cable power and surveys Amount and the long adjusting apparatus of rope, referred to as cable force measurement display system (CFMADS), and film reflector face rope length is carried out on this basis Adjustment；In producing principle model machine, influences of the long Suo Li of rope to reflector precision is taken into full account, ginseng is used as using simulation result According to, give model machine border rope corresponding rope force value, and the adjustment in progress film reflector face on this basis.
The structure of the present invention is explained in detail below in conjunction with the accompanying drawings.
As shown in figure 1, the concrete operations step of the long method of adjustment of Electrostatic deformation film antenna radial cable of the embodiment of the present invention It is rapid as follows：
Step 101：Setting models primary condition, Structure Calculation is carried out, extract in simulation model film reflector face diameter to drawing Rope strain value, each Cable power design load F=E ε A are obtained by rope physical parameter in model, wherein：E is rope material Young elasticity Modulus, ε are the strain value of extraction, A is rope cross-sectional area；
Step 102：Connect regulator for stretching wire and cable force measurement display device, the device include deployable hoop truss, Clamping clamp, screw mandrel, nut, internal thread sleeve, locking device, platform, sensor, insulated bolt with holes, power display system；
Step 103：Dynamometry software is run, real-time display monitors the change of rope force value；
Step 104：Cable force measurement and the adjustment of film reflector face precision are carried out, due to the experiment in antenna measurement, adjustment The influence of the uncertain factor such as Cheng Zhong, environment, mismachining tolerance, it is difficult to ensure that experimental model matches with theoretical analysis model, two Person there will necessarily be difference；In addition, by the limitation of measuring apparatus condition, it is difficult to be restored experimental model by actual measurement.Therefore, When carrying out actual experiment, sensitive matrix that the axial residual error of each node in film reflector face is grown to the rope of border radial direction drag-line, just It can not be tried to achieve, can only be obtained by perturbation method by Finite Element Difference Method using theoretical analysis model.Namely：To each border footpath Apply minor adjustment amount to drag-line, the position coordinates letter of each node of reflecting surface before and after adjustment every time is then measured using measuring apparatus Breath, then the variable quantity of the axial residual error of each node is calculated, the small tune for finally growing the variable quantity of this axial residual error divided by rope Whole amount, you can obtain the sensitive matrix that axial residual error is grown to border Cable, each rope length is can obtain after obtaining the sensitive matrix Adjustment amount and corresponding rope force value.
Step 102, comprise the following steps：
Step 201：Clamping clamp shown in Fig. 3 is assembled on hoop truss according to position line, and leveling；
Step 202：By in the screw mandrel shown in first nut precession Fig. 4, screw mandrel is arranged in Fig. 3 clamping clamps hole, rotation Enter the second nut, screw mandrel is fixed on clamping clamp；
Step 203：Internal thread sleeve shown in Fig. 5 is screwed installed in Fig. 4 screw mandrels upper end；
Step 204：Platform shown in Fig. 7 and Fig. 5 internal thread sleeves are assembled, and connected the two by Fig. 6 locking devices Connect.According to Fig. 5 internal thread sleeve graduation marks, adjustment platform inclination angle, locking.Wherein inclination alpha computational methods are：It is anti-to extract film Penetrate face drag-line both ends point coordinates A0(x0,y0,z0)、A1(x1,y1,z1), wherein, A0For bitter end point six-freedom degree staff cultivation, A1For The coordinate of Structure Calculation film reflector face balance state, according to establishment of coordinate system
Step 205：Fig. 8 sensors are attached on platform, 9 insulated bolt with holes of connection figure (make by Fig. 9 insulated bolts with holes With being to connect film reflector face diameter to drag-line, grown by changing the direction of feed of bolt to change rope).By adjusting vertical supporting Screw mandrel adjusts the orientation of flat surface, ensures that radial cable is unlikely to be distorted, then fastens the first nut, be finally completed hardware Partial assembling；
Step 206：Film reflector face diameter is penetrated in Fig. 9 insulated bolts with holes to drag-line and fixed；
Step 207：Sensor force display system, i.e. software section are finally connected, completes the group of whole cable force measurement system Dress；
The step 104 comprises the following steps：
Step 301：Proceed by rope length adjustment；
Step 302：Ask sensitivity method to obtain the long adjustment amount of each rope with perturbation, the adjustment amount is converted into corresponding Suo Li Value, i.e.,
Step 303：Each border radial direction drag-line rope force value is applied to, then film reflector face is measured；
Step 304：Judge now film reflector face precision, if not up to requiring, return to step 302 continues to adjust It is whole；If precision meets to require, stop.
The step 302, comprises the following steps：
Step 401：The sensitivity that film displacement of joint grows to rope is asked according to following formula, forms each sensitivity vector, and write as matrix Form：
Wherein, Δ l=| | Δ l | |2E, e=[0 ..., 1 ... 0]TIn the column vector only and liCorresponding i-th each yuan Element is 1, and remaining is all zero.
Step 402：Face shape error { Δ δ } can be expressed as the long adjustment amount Δ l of each rope and the linear combination of sensitivity
It is { Δ δ }=A { Δ l } to be write as matrix form；
Step 403：{ Δ l }=(A is solved with least square methodTA)-1A { Δ δ }, it can obtain：
lk+1=lk+Δl；
Step 404：If the film reflector face shape surface error measured now meets required precision, then it is assumed that rope force value meets It is required that can stop, otherwise returning to the sensitivity for asking film displacement of joint to grow rope and continue.
Wherein：(a) in Fig. 3, (b), (c) are respectively clamping clamp front view, top view, left view, for it is deployable Hoop truss connects, it is characterized in that, the internal diameter of clamping clamp annulus is slightly less than truss external diameter, so main to consider the firm of connection Property；The part punching of stretching.
There is screw thread at screw mandrel both ends in Fig. 4, main to consider connection clamping clamp and internal thread sleeve two parts.Lower end and clamping Clamp connects, and two nuts are more firm in order to connect.
(a), (b), (c) are respectively internal thread sleeve front view, top view, left view in Fig. 5.For fixed platform and adjustment Platform inclination angle, it is characterized in that internal thread screws with screw mandrel upper end, tighten；Internal thread sleeve upper end polishing hole, filled by locking Connection is put, when relaxed constraints, facilitates platform to rotate, easily realizes the adjustment at inclination angle.
Fig. 6 is locking device, similar with screw mandrel, and there is screw thread at both ends, and platform is fixed on by the nut screwed by both ends On internal thread sleeve.
(a), (b), (c) are respectively platform front view, top view, left view in Fig. 7.Wherein, 10 holes and Fig. 5 in front view Internal thread sleeve unthreaded hole coordinates, and is connected and fastened with locking device；11 holes connect with Fig. 8 " S " type force snesor one end in left view Connect.
Fig. 8 show " S " type force snesor, and there is screwed hole at its both ends, and one end is connected with 11 holes in platform, the other end with Insulated bolt with holes Fig. 9 screws.This kind of force snesor belongs to strain gauge transducer, is obtained by stretcher strain to stress value.
Fig. 9 is the insulated bolt of perforate, and bolt gets through hole along axis, and aperture is slightly larger compared with diameter of wire cord.
Figure 10 is the function that power display system can be realized, its hardware components mainly includes sensor, transmitter etc..
Figure 13 is the long adjusting apparatus structural representation of rope, wherein 1 is clamping clamp, 2 be screw mandrel, and 3 be nut, and 4 be internal thread Sleeve, 5 be locking device, and 6 be platform, and 7 be sensor, and 8 be insulated bolt with holes, and 9 be power display system.1 dress shown in figure Mounting board is assemblied on hoop truss according to position line, and leveling.First by 2 screw mandrels shown in a nut precession figure, then by 2 Screw mandrel is put into 1 clamping clamp hole, then another nut of precession.4 internal thread sleeves shown in figure are screwed on 2 screw mandrels End, and Fig. 6 platforms and 4 internal thread sleeves are coordinated, it is attached with 5 locking devices, is locked after adjusting platform inclination angle.7 are passed Sensor is attached on 6 platforms by shown position, by 8 sensors of insulated bolt precession 7 with holes.9 power are finally connected to show System.
Illustrated with reference to simulation result：
Simulated conditions：
Film reflector plane materiel material selects isotropism Kapton polyimides membrane materials, and its physical parameter is：Elastic modulus E= 2.17GPa, membrane material thickness t=0.025mm, thermal coefficient of expansion are α=8.0e-6, Poisson's ratio ν=0.30.Film reflector face is taken to tie Structure parameter：Bore 2m, focal length 4m, film surface prestressing force uniformly apply prestressing force, film die opening 20mm using the degree processing of cooling -10. Each channel voltage value is given, due to symmetrical configuration, the reliability now adjusted using most simple scenario as explanation.By film reflector face Radial direction drag-line is adjusted as a variable, it is believed that each Cable force value is equal.
The precision adjustment of film reflector face is carried out using the method for the present invention：
Given initial voltage/V Given initial voltage/V Result after being adjusted to film reflector face radial cable
9611.5 9608.9 It is 1.37N to adjust back boundary Suo Li
9614.6 9622.1 Surface accuracy Rms=0.297mm before adjustment
9633.5 9634.7 Surface accuracy Rms=0.029mm after adjustment
9615.8 9614.9 Precision improves 90.2%
9634.5 9615.6
9634.8 9634.0
9634.0
Adjustment iterativecurve is shown in that Figure 14 raising films that the method for adjustment can be rapidly and efficiently it can be seen from adjustment result are anti- The precision in face is penetrated, when film reflector face applies uniform surface power, only needs 3 adjustment to restrain, precision meets error requirements.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all essences in the present invention All any modification, equivalent and improvement made within refreshing and principle etc., should be included in the scope of the protection.

Claims (6)

  1. A kind of 1. Electrostatic deformation film antenna radial cable length regulating method, it is characterised in that the Electrostatic deformation film antenna Radial cable length regulating method is used for the shaping control of Electrostatic deformation film reflector surface antenna, carries out boundary adjustment, including：
    Setting models primary condition, Structure Calculation is carried out, film reflector face diameter is to drag-line strain value in extraction simulation model, by mould Rope physical parameter obtains each Cable power design load F=E ε A in type, wherein：F is the rope force value of design, E is rope material Young bullet Property modulus, ε be the strain value of extraction, A be rope cross-sectional area；
    Connect regulator for stretching wire and cable force measurement display device；
    Dynamometry software is run, real-time display monitors the change of rope force value；Wherein, dynamometric system hardware components include sensor, become Send device；
    Cable force measurement and the adjustment of film reflector face precision are carried out, minor adjustment amount is applied to each border radial direction drag-line, utilizes measurement Equipment measures the location coordinate information of each node of reflecting surface before and after adjustment every time, calculates the change of the axial residual error of each node Amount；The minor adjustment amount that the variable quantity of this axial residual error divided by rope are grown, that is, obtain axial residual error border Cable is grown it is quick Matrix is spent, the long adjustment amount of each rope and corresponding rope force value are obtained after obtaining sensitive matrix.
  2. 2. Electrostatic deformation film antenna radial cable length regulating method as claimed in claim 1, it is characterised in that the progress Cable force measurement and the adjustment of film reflector face precision comprise the following steps：
    Proceed by rope length adjustment；
    Ask sensitivity method to obtain the long adjustment amount Δ l of each rope with perturbation, the adjustment amount is converted into corresponding rope force value, i.e.,Wherein, F is the rope force value of design, E is rope material Young's modulus of elasticity, A is rope cross-sectional area, l0For Suo Yuanchang, Δ l is the long adjustment amount of rope；
    Each border radial direction drag-line rope force value is applied to, then film reflector face is measured；
    Judge now film reflector face precision, if not up to requiring, return adjustment amount is converted into corresponding rope force value and continued Adjustment；If precision meets to require, stop.
  3. 3. Electrostatic deformation film antenna radial cable length regulating method as claimed in claim 2, it is characterised in that the adjustment Amount is converted into corresponding rope force value and comprised the following steps：
    The sensitivity that film reflector face displacement of joint grows to rope is asked according to following formula, forms each sensitivity vector, and write as matrix form：
    <mrow> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>&amp;delta;</mi> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>l</mi> <mi>i</mi> </msub> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mi>&amp;delta;</mi> <mrow> <mo>(</mo> <mi>l</mi> <mo>+</mo> <mi>&amp;Delta;</mi> <mi>l</mi> <mo>)</mo> </mrow> <mo>-</mo> <mi>&amp;delta;</mi> <mrow> <mo>(</mo> <mi>l</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mo>|</mo> <mo>|</mo> <mi>&amp;Delta;</mi> <mi>l</mi> <mo>|</mo> <msub> <mo>|</mo> <mn>2</mn> </msub> </mrow> </mfrac> <mo>;</mo> </mrow>
    Wherein, Δ l=| | Δ l | |2E, e=[0 ..., 1 ... 0]TIn the column vector only and liCorresponding i-th of element be 1, remaining is all zero；
    <mrow> <msub> <mi>A</mi> <mrow> <mi>m</mi> <mi>x</mi> <mi>n</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>&amp;delta;</mi> </mrow> <mrow> <mo>&amp;part;</mo> <mi>l</mi> </mrow> </mfrac> <mo>=</mo> <mo>&amp;lsqb;</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>&amp;delta;</mi> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>l</mi> <mn>1</mn> </msub> </mrow> </mfrac> <mo>,</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>&amp;delta;</mi> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>l</mi> <mn>2</mn> </msub> </mrow> </mfrac> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>&amp;delta;</mi> </mrow> <mrow> <mo>&amp;part;</mo> <msub> <mi>l</mi> <mi>n</mi> </msub> </mrow> </mfrac> <mo>&amp;rsqb;</mo> <mo>;</mo> </mrow>
    According to linear relationship of the face shape error { Δ δ } between Δ l and sensitive matrix, have：
    It is { Δ δ }=A { Δ l } to be write as matrix form；
    Solved with least square method and draw the long adjustment amount of rope { Δ l }=(ATA)-1A { Δ δ }, is obtained according to the long adjustment amount of rope：
    lk+1=lk+Δl；
    <mrow> <mi>F</mi> <mo>=</mo> <mi>E</mi> <mi>A</mi> <mfrac> <mrow> <mi>&amp;Delta;</mi> <mi>l</mi> </mrow> <msub> <mi>l</mi> <mn>0</mn> </msub> </mfrac> <mo>;</mo> </mrow>
    If the film reflector face shape surface error measured now meets required precision, then it is assumed that rope force value meets requirement, can stop, Otherwise the sensitivity for asking film displacement of joint to grow rope is returned to continue.
  4. 4. Electrostatic deformation film antenna radial cable length regulating method as claimed in claim 2, it is characterised in that the connection Regulator for stretching wire and cable force measurement display device specifically include：Deployable hoop truss, clamping clamp, screw mandrel, nut, internal thread Sleeve, locking device, platform, sensor, insulated bolt with holes, power display system；
    Clamping clamp is assemblied on hoop truss, and nut precession screw mandrel, screw mandrel is put into clamping clamp hole, then precession nut, Internal thread sleeve, which screws, to be coordinated with internal thread sleeve, is attached with locking device, sensor is attached to installed in screw mandrel upper end, platform On platform, insulated bolt precession sensor with holes, sensor attachment force display system.
  5. 5. Electrostatic deformation film antenna radial cable length regulating method as claimed in claim 4, it is characterised in that the connection The application method of regulator for stretching wire and cable force measurement display device：
    Clamping clamp is assembled on hoop truss according to position line, and leveling；
    By in the first nut precession screw mandrel, screw mandrel is arranged in clamping clamp hole, the nut of precession second, screw mandrel is fixed on dress On mounting board；
    Internal thread sleeve is screwed installed in screw mandrel upper end；
    Platform and internal thread sleeve are assembled, and connected the two by locking device, according to internal thread sleeve graduation mark, adjustment Platform inclination angle, locking,
    Sensor is attached on platform, connects insulated bolt with holes, flat surface is adjusted by adjusting vertical supporting screw mandrel Orientation, the first nut, the second nut are then fastened, is finally completed the assembling of hardware components；
    Film reflector face diameter is penetrated in insulated bolt with holes to drag-line and fixed；
    Sensor force display system, i.e. software section are finally connected, completes the assembling of whole cable force measurement system.
  6. 6. Electrostatic deformation film antenna radial cable length regulating method as claimed in claim 5, it is characterised in that the inclination angle α computational methods are：Extract film reflector face drag-line both ends point coordinates A0(x0,y0,z0)、A1(x1,y1,z1), wherein, A0For bitter end Point six-freedom degree staff cultivation, A1For the coordinate of Structure Calculation film reflector face balance state, according to establishment of coordinate system
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