CN107103111A - Electronics function shape region feature point displacement field reconstructing method based on strain transducer - Google Patents
Electronics function shape region feature point displacement field reconstructing method based on strain transducer Download PDFInfo
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Abstract
The invention discloses a kind of electronics function shape region feature point displacement field reconstructing method based on strain transducer, including：Determine position and the quantity of structural parameters, material properties and the strain transducer distribution in electronics function shape face, gather the strain value of the lower function shape face strain transducer measurement of military service load effect, set up the structural finite element model in function shape face, the face model analysis of function shape, obtain Mode Shape, the strain mode vibration shape in function shape face, extract the corresponding strain mode vibration shape matrix of strain transducer nodes of locations, calculate generalized Modal coordinate, the corresponding Mode Shape matrix of abstraction function shape region feature point, reconstructs the displacement of function shape region feature point.The present invention is based on Modal Analysis Theory, in the case where structural loads information is unknown, the strain value measured using a small amount of strain transducer reconstructs the displacement field of electronics function shape region feature point, and then instructs the malformation compensation and electrical property compensation in electronics function shape face.
Description
Technical field
The invention belongs to Radar Antenna System field, and in particular to the electronics function shape face based on strain transducer is special
Levy a displacement field reconstructing method.The present invention can be used for reconstruct electronics function shape region feature point displacement field, be Subsequent electronic dress
The malformation compensation and electrical property compensation in standby function shape face lay the foundation, with security function shape face military service performance.
Background technology
Electronics function shape face most outstanding feature is exactly electric-mechanic control system, is used as whole electronics function using electrical property
The main performance in shape face, mechanical structure performance serves electrical property, is carrier and the guarantee of electrical property.Current electronics
Function shape face is widely used in the fields such as astronomical observation, airborne early warning, spaceborne imaging, ground air defense, as Developing
Main flow.
Continuing to develop and change with military requirement, electronics function shape face is main towards multi-functional, lightweight and height
The direction of performance is developed.Develop as electronics function shape faces lightweight direction, when it is acted on by extraneous load, electricity
The son equipment easier generation malformation in function shape face, malformation is also more and more brighter to electronics function shape face influence
It is aobvious, and then cause electronics function shape face electromagnetic performance extreme degradation.Thus, reconstruct the position in the lower function shape face of load effect
Field is moved, corresponding malformation compensation and electrical property compensation is carried out, is the key for ensureing systematic function.
At present, domestic and foreign scholars mainly have two methods when displacement field is reconstructed：(1) the response reconstruct based on transport
Method, such as Li J, Law SS.Substructural response reconstruction in wavelet
domain.Journal of Applied Mechanics,2011,78(4):Proposed in 41010 a kind of for multiple degrees of freedom
The transport response Reconstruction Method of system, which show system broad sense transmit rate matrix, and this matrix is used for structural response
Reconstruct.Although the method reconstructs the displacement field of deformation plance, it needs the position of known excitation load so that the application of this method
Limited, practicality is not strong.(2) Ko displacement theories method, such as Yuan Shenfang, Yan Meijia, a towel towel, one kind are applied to beam type wing
Deformation reconstructing method, Nanjing Aero-Space University's journal, 2014,46 (6)：In 825-830 beam is reconstructed using Ko displacement theories
The deformation of formula wing structure, and the feasibility and reliability of this method are verified, but this method needs under higher reconstruction accuracy
Substantial amounts of sensor, and this method is only used for better simply structure.
Therefore, on the premise of reconstruction accuracy is met, it is necessary to reduce the number of sensor, structural loads letter is not being needed
In the case of breath, the displacement field of electronics function shape region feature point is reconstructed, electronics function shape face structure becomes after being
Shape is compensated and electrical property compensation lays the foundation, and then shortens the lead time.
The content of the invention
To solve drawbacks described above present in prior art, it is an object of the invention to provide a kind of based on model analysis
Displacement field reconstructing method, under structural loads information unknown situation, the strain value measured using a small amount of strain transducer is reconstructed
The displacement field of electronics function shape region feature point, and then instruct malformation compensation and the electrical property in electronics function shape face
Compensation.
The present invention is realized by following technical proposals.
Electronics function shape region feature point displacement field reconstructing method based on strain transducer, comprises the steps：
(1) the position sum of structural parameters, material properties and the strain transducer distribution in electronics function shape face is determined
Measure N；
(2) military service load is gathered by strain transducer and acts on lower electronics function shape face strain value；
(3) according to the structural parameters and material properties in electronics function shape face, electronics are set up using ANSYS softwares
The structural finite element model in function shape face；
(4) the structural finite element model progress model analysis using ANSYS softwares to electronics function shape face, and according to
M rank mode in face of the result of model analysis, abstraction function shape, including Mode Shape and the strain mode vibration shape；
(5) from the strain mode vibration shape in function shape face, extract the corresponding strain mode of strain transducer nodes of locations and shake
Type matrix；
(6) strain value measured according to strain transducer in step (2) and strain transducer nodes of locations pair in step (5)
The strain mode vibration shape matrix answered, calculates generalized Modal coordinate；
(7) from the Mode Shape in function shape face, the corresponding Mode Shape matrix of abstraction function shape region feature point；
(8) the generalized Modal coordinate that combination step (6) is calculated is corresponding with the function shape region feature point that step (7) is extracted
Mode Shape matrix, reconstructs the displacement of function shape region feature point.
Further, step (1) determines radiating element in the structural parameters in electronics function shape face, including function shape face
Line number, columns, unit spacing, unit form, T/R components, cold drawing, the parameter of function shape surface frame frame and mounting framework；Determine spoke
Penetrate the material properties of unit, including density, modulus of elasticity and Poisson's ratio；Determine position and the quantity N of strain transducer distribution.
Further, in step (2), strain transducer, the lower function shape face strain transducer of collection military service load effect are used
Strain value { ε }={ ε of measurements1,εs2,…,εsN}。
Further, in step (4), model analysis is carried out to the structural finite element model in function shape face using ANSYS softwares,
And according to the result of model analysis, M rank mode in face of abstraction function shape, wherein, M=N-1；Include the Mode Shape in function shape faceStrain mode vibration shape ψi, wherein i=1,2 ... M.
Further, step (5) is carried out according to the following procedure：
(5a) determines the corresponding node serial number of strain transducer nodes of locations according to the result of ANSYS software mesh generations：
1st~N number of strain transducer nodes of locations, corresponding node serial number is respectively s1, s2 ..., sN；
(5b) according to the numbering s1, s2 ..., sN of strain transducer nodes of locations, the strain with M rank mode in face of function shape
Mode Shape ψi, extract the corresponding strain mode vibration shape matrix [ψ] of strain transducer nodes of locations (s1, s2 ..., sN)S：
Wherein,What is represented is answering for the corresponding sj nodes of the i-th rank mode
Become mode.
Further, step (6) is carried out according to the following procedure：
(6a), according to modal superposition principle, the strain of the lower function shape face structure of load effect is represented by each rank strain mode
Linear combination：
In formula, { q }={ q1,q2,…,qMRepresent generalized Modal coordinate；
The strain value { ε } that (6a) is measured according to strain transducer in step (2) is saved with strain transducer position in step (5)
The corresponding strain mode vibration shape matrix [ψ] of pointS, generalized Modal coordinate can be obtained：
{ q }=(([ψ]S)T([ψ]S))-1([ψ]S)T{ε}；
Wherein, T is matrix transposition symbol.
Further, step (7) is carried out according to the following procedure：
(7a) determines the corresponding node serial number of function shape region feature point according to the result of ANSYS software mesh generations：1st
~P characteristic point, corresponding node serial number is respectively c1, c2 ..., cP；
(7b) from the Mode Shape of M ranks state in face of function shape, abstraction function shape region feature point (c1, c2 ..., cP) is corresponding
Mode Shape matrix
Wherein,Represent the displacement mould of the corresponding cl nodes of the i-th rank mode
State.
Further, in step (8), generalized Modal coordinate { q }={ q calculated with reference to step (6)1,q2,…,qMWith walking
Suddenly the corresponding Mode Shape matrix of function shape region feature point that (7) are extractedReconstruct the displacement { δ } of function shape region feature point
={ δc1,δc2,…,δcP}：
The present invention compared with prior art, has the characteristics that：
1. Modal Analysis Theory is applied in the reconstruct of electronics function shape region feature point displacement field, and it need not tie
Structure load information, the strain value measured using a small amount of strain transducer reconstructs the displacement of electronics function shape region feature point
.This method efficiently solves that traditional displacement field reconstructing method practicality is not strong, cost is higher and can be only applied to more simply tie
The problem of structure.
2. electronics function shape face carries out model analysis, according to the result of model analysis, M (M in face of abstraction function shape
=N-1) rank mode, including Mode Shape, the strain mode vibration shape.Electronics work(is caused by the rank number of mode M for determining to choose
The dimension of energy shape face structural model can further be reduced, and the model calculation time in later stage can greatly reduce, and computational efficiency is able to
Improve, the malformation compensation in electronics function shape face and electrical property compensation lay the foundation after being, shorten the lead time.
Brief description of the drawings
Fig. 1 is the flow of the electronics function shape region feature point displacement field reconstructing method of the invention based on strain transducer
Figure；
Fig. 2 is the radiating element arrangement schematic diagram in electronics function shape face；
Fig. 3 is the structural representation in electronics function shape face；
Fig. 4 is the electronics function shape region feature point location drawing；
Fig. 5 is sensor placement figure；
Fig. 6 is the grid model in electronics function shape face in ANSYS softwares；
Fig. 7 is the constrained schematic diagram in electronics function shape face.
Embodiment
The invention will be described in further detail with reference to the accompanying drawings and examples, but is not intended as doing any limit to invention
The foundation of system.
Reference picture 1, the present invention is the electronics function shape region feature point displacement field reconstructing method based on strain transducer,
Comprise the following steps that：
Step 1, the structural parameters in electronics function shape face, the position of strain transducer distribution and quantity are determined.
1.1. determine that the structural parameters in electronics function shape face (choose the typical case in electronics function shape face in the present invention
Represent active phase array antenna and carry out instance analysis), including (x, y direction) length L in function shape facexWith width Ly, function shape face
Spacing d of the line number, columns, radiating element of interior radiating element on x, y directionx,dy(as shown in Figure 2), radiating element form,
T/R components, cold drawing, parameter of function shape surface frame frame and mounting framework etc..
1.2. the material properties of radiating element, including density, modulus of elasticity and Poisson's ratio etc. are determined.
1.3. position, the quantity N of strain transducer distribution are determined.
Step 2, the strain value of the lower function shape face strain transducer measurement of collection military service load effect.
Using strain transducer, the strain value { ε } that the lower function shape face strain transducer of collection military service load effect is measured=
{εs1,εs2,…,εsN}。
Step 3, the structural finite element model in function shape face is set up.
According to T/R components in the function shape face of determination, the material of function shape surface frame frame, mounting framework and radiating element belongs to
Property, including density, modulus of elasticity and Poisson's ratio etc., the structural finite element model in function shape face is set up using ANSYS softwares.
Step 4, function shape face model analysis, obtains Mode Shape, the strain mode vibration shape in function shape face.
Model analysis is carried out to the structural finite element model in function shape face using ANSYS softwares, and according to model analysis
As a result, M (M=N-1) rank mode in face of abstraction function shape, includes the Mode Shape in function shape faceStrain mode vibration shape ψi, its
Middle i=1,2 ... M.
Step 5, the corresponding strain mode vibration shape matrix of strain transducer nodes of locations is extracted.
5.1. according to the result of ANSYS software mesh generations, the corresponding node serial number of strain transducer nodes of locations is determined：
1st~N number of strain transducer nodes of locations, corresponding node serial number is respectively s1, s2 ..., sN.
5.2. according to the numbering s1, s2 ..., sN of strain transducer nodes of locations, with M (M=N-1) rank mould in face of function shape
The strain mode vibration shape ψ of statei, extract the corresponding strain mode vibration shape matrix of strain transducer nodes of locations (s1, s2 ..., sN)
[ψ]S：
Wherein,What is represented is the strain of the corresponding sj nodes of the i-th rank mode
Mode.
Step 6, the strain value measured according to strain transducer strain mode corresponding with strain transducer nodes of locations is shaken
Type matrix, calculates generalized Modal coordinate.
6.1. it can be seen from modal superposition principle, the strain of the lower function shape face structure of load effect is represented by each rank strain
The linear combination of mode：
In formula, { q }={ q1,q2,…,qMRepresent generalized Modal coordinate.
6.2. the strain value { ε } measured according to strain transducer in step (2) is saved with strain transducer position in step (5)
The corresponding strain mode vibration shape matrix [ψ] of pointS, generalized Modal coordinate can be obtained：
{ q }=(([ψ]S)T([ψ]S))-1([ψ]S)T{ε} (3)
Wherein, T is matrix transposition symbol.
Step 7, the corresponding Mode Shape matrix of abstraction function shape region feature point.
7.1. according to the result of ANSYS software mesh generations, the corresponding node serial number of function shape region feature point is determined：1st
~P characteristic point, corresponding node serial number is respectively c1, c2 ..., cP.
7.2. from the Mode Shape of M (M=N-1) rank state in face of function shape, abstraction function shape region feature point (c1,
C2 ..., cP) corresponding Mode Shape matrix
Wherein,Represent the displacement mould of the corresponding cl nodes of the i-th rank mode
State.
Step 8, with reference to generalized Modal coordinate, the displacement of function shape region feature point is reconstructed.
Generalized Modal coordinate { q }={ q calculated with reference to step (6)1,q2,…,qMWith step (7) extract function shape
The corresponding Mode Shape matrix of region feature pointReconstruct displacement { δ }={ δ of function shape region feature pointc1,δc2,…,δcP}：
Advantages of the present invention can be further illustrated by following emulation experiment：
First, the structural parameters in electronics function shape face, the position of strain transducer distribution and quantity are determined
1. determine the structural parameters in electronics function shape face
The Typical Representative active phase array antenna that the present invention chooses electronics function shape face carries out instance analysis.Radiation is single
Member equidistant rectangular grid arrangement in function shape face, center operating frequency is f=2.5GHz (wavelength X=120mm).Such as Fig. 3
With shown in table 1, the line number of x directions radiating element is that the 6, columns of y directions radiating element is 3 in function shape face, and radiating element exists
Spacing d on x, y directionx=dyCharacteristic point distributing position is as shown in Figure 4 in=0.5 λ=60mm, electronics function shape face.
The geometrical model parameter in the electronics function shape face of table 1
The material properties in the electronics function shape face of table 2
2. position and the quantity of strain transducer distribution
10 strain transducers are distributed with electronics function shape face, the position of strain transducer distribution is as shown in Figure 5.
2nd, the displacement field of electronics function shape region feature point is reconstructed
1. set up the structural finite element model in electronics function shape face
Electronics is set up in ANSYS softwares according to the geometrical model size in electronics function shape face, material properties parameter
Equip the structural finite element model in function shape face.Wherein, it is actual according to engineering, set according to the material parameter of aluminium alloy in table 2
The material properties of the carrier layer such as function shape surface frame frame and mounting bracket, radiating element is set according to the material parameter of printed circuit board
Material properties.Carrier layer cell type is solid element SOLID92, and radiative unit structure cell type is face unit
SHELL63, is connected with each other between carrier layer and radiating element, without relative displacement.To the geometry knot in electronics function shape face
Structure model, carries out mesh generation using the free grid of ANSYS software sets, obtains the grid model in electronics function shape face
As shown in Figure 6.
2. the face model analysis of function shape, obtains Mode Shape, the strain mode vibration shape in function shape face
2.1 according to the installation site of the actual medium-height trestle of engineering, using cantilever beam structure force analysis, as shown in Figure 7 by electricity
The one end in son equipment function shape face is fixed, and is used as constraints；
The 2.2 structural finite element model progress model analysis using ANSYS softwares to electronics function shape face, and according to
9 (M=N-1=10-1) rank mode in face of the result of model analysis, abstraction function shape, includes the mode in electronics function shape face
The vibration shapeStrain mode vibration shape ψi, wherein i=1,2 ... 9.
3. reconstruct the displacement field of electronics function shape region feature point
3.1, according to formula (1), (2) and step (2), look for and obtain generalized Modal coordinate { q }：
{ q }=(([ψ]S)T([ψ]S))-1([ψ]S)T{ε} (6)
In formula, [ψ]SFor the corresponding strain mode vibration shape matrix of strain transducer nodes of locations, { ε } acts on for military service load
The strain value of lower function shape face strain transducer measurement.
3.2, according to formula (3), (4), (5) and step (7), reconstruct the displacement { δ } of function shape region feature point：
In formula, [ψ]SFor the corresponding strain mode vibration shape matrix of strain transducer nodes of locations；For function shape region feature
The corresponding Mode Shape matrix of point；{ ε } is the strain value that military service load acts on lower function shape face strain transducer measurement.
3rd, result and analysis
The corresponding strain mode vibration shape matrix of strain transducer nodes of locations is obtained according to formula (1), with reference to step (2), step
Suddenly (6) and formula (6), can try to achieve its generalized Modal coordinate；The corresponding mode of function shape region feature point is obtained by step (7) again
Vibration shape matrix, recycles formula (7) to reconstruct the displacement of function shape region feature point, obtains electronics function shape region feature point
Displacement field.
Table 3 is uses strain transducer, and what the lower function shape face strain transducer of military service load effect collected was measured should
Variate { ε }, table 4 is the generalized Modal coordinate value { q } calculated, and table 5 is the function shape region feature point displacement { δ } reconstructed.
The strain value of the sensor of table 3 measurement
The generalized Modal coordinate value of table 4
The function shape region feature point displacement that table 5 is reconstructed
According to the function shape region feature point displacement (table 5) reconstructed as can be seen that the lower function shape region feature of load effect
Point is more than its deformation in X-direction, Y-direction in the deformation of Z-direction, and the maximum deformation quantity of Z-direction reaches 6.4493mm；It is wherein electric
The overall deformation of the 8th characteristic point is maximum in son equipment function shape face, reaches 6.4495mm.
Above-mentioned experiment can be seen that can extract the corresponding strain mode of strain transducer nodes of locations and shake using the present invention
Type matrix, the corresponding Mode Shape matrix of function shape region feature point, calculate generalized Modal coordinate, available for reconstruct electronics work(
The displacement field of energy shape region feature point, and then instruct the malformation compensation and electrical property compensation in electronics function shape face.
Claims (8)
1. the electronics function shape region feature point displacement field reconstructing method based on strain transducer, it is characterised in that including under
State step：
(1) position and the quantity N of structural parameters, material properties and the strain transducer distribution in electronics function shape face are determined；
(2) military service load is gathered by strain transducer and acts on lower electronics function shape face strain value；
(3) according to the structural parameters and material properties in electronics function shape face, electronics function is set up using ANSYS softwares
The structural finite element model in shape face；
(4) model analysis is carried out to the structural finite element model in electronics function shape face using ANSYS softwares, and according to mode
M rank mode in face of the result of analysis, abstraction function shape, including Mode Shape and the strain mode vibration shape；
(5) from the strain mode vibration shape in function shape face, the corresponding strain mode vibration shape square of strain transducer nodes of locations is extracted
Battle array；
(6) it is corresponding with strain transducer nodes of locations in step (5) according to the strain value of strain transducer measurement in step (2)
Strain mode vibration shape matrix, calculates generalized Modal coordinate；
(7) from the Mode Shape in function shape face, the corresponding Mode Shape matrix of abstraction function shape region feature point；
(8) the generalized Modal coordinate mode corresponding with the function shape region feature point that step (7) is extracted calculated with reference to step (6)
Vibration shape matrix, reconstructs the displacement of function shape region feature point.
2. the electronics function shape region feature point displacement field reconstruct side according to claim 1 based on strain transducer
Method, it is characterised in that step (1) determines radiating element in the structural parameters in electronics function shape face, including function shape face
Line number, columns, unit spacing, unit form, T/R components, cold drawing, the parameter of function shape surface frame frame and mounting framework；Determine spoke
Penetrate the material properties of unit, including density, modulus of elasticity and Poisson's ratio；Determine position and the quantity N of strain transducer distribution.
3. the electronics function shape region feature point displacement field reconstruct side according to claim 1 based on strain transducer
Method, it is characterised in that in step (2), using strain transducer, the lower function shape face strain transducer of collection military service load effect is surveyed
Strain value { ε }={ ε of amounts1,εs2,…,εsN}。
4. the electronics function shape region feature point displacement field reconstruct side according to claim 1 based on strain transducer
Method, it is characterised in that in step (4), model analysis is carried out using ANSYS softwares to the structural finite element model in function shape face,
And according to the result of model analysis, M rank mode in face of abstraction function shape includes the Mode Shape in function shape faceStrain mode
Vibration shape ψi, wherein i=1,2 ... M, M=N-1.
5. the electronics function shape region feature point displacement field reconstruct side according to claim 1 based on strain transducer
Method, it is characterised in that step (5) is carried out according to the following procedure：
(5a) determines the corresponding node serial number of strain transducer nodes of locations according to the result of ANSYS software mesh generations：1st
~N number of strain transducer nodes of locations, corresponding node serial number is respectively s1, s2 ..., sN；
(5b) according to the numbering s1, s2 ..., sN of strain transducer nodes of locations, the strain mode with M rank mode in face of function shape
Vibration shape ψi, extract the corresponding strain mode vibration shape matrix [ψ] of strain transducer nodes of locations (s1, s2 ..., sN)S：
Wherein,What is represented is the strain mould of the corresponding sj nodes of the i-th rank mode
State.
6. the electronics function shape region feature point displacement field reconstruct side according to claim 1 based on strain transducer
Method, it is characterised in that step (6) is carried out according to the following procedure：
(6a), according to modal superposition principle, the strain of the lower function shape face structure of load effect is represented by the line of each rank strain mode
Property combination：
In formula, { q }={ q1,q2,…,qMRepresent generalized Modal coordinate；
Strain value { ε } and strain transducer nodes of locations pair in step (5) that (6a) is measured according to strain transducer in step (2)
The strain mode vibration shape matrix [ψ] answeredS, generalized Modal coordinate can be obtained：
{ q }=(([ψ]S)T([ψ]S))-1([ψ]S)T{ε}；
Wherein, T is matrix transposition symbol.
7. the electronics function shape region feature point displacement field reconstruct side according to claim 6 based on strain transducer
Method, it is characterised in that step (7) is carried out according to the following procedure：
(7a) determines the corresponding node serial number of function shape region feature point according to the result of ANSYS software mesh generations：1~P
Characteristic point, corresponding node serial number is respectively c1, c2 ..., cP；
(7b) from the Mode Shape of M ranks mode in face of function shape, abstraction function shape region feature point (c1, c2 ..., cP) is corresponding
Mode Shape matrix
Wherein,Represent the displacement modes of the corresponding cl nodes of the i-th rank mode.
8. the electronics function shape region feature point displacement field reconstruct side according to claim 7 based on strain transducer
Method, it is characterised in that in step (8), generalized Modal coordinate { q }={ q calculated with reference to step (6)1,q2,…,qMWith walking
Suddenly the corresponding Mode Shape matrix of function shape region feature point that (7) are extractedReconstruct the displacement { δ } of function shape region feature point
={ δc1,δc2,…,δcP}：
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