CN106897491A - It is a kind of to suppress the construction design method that rectangular membrane tension produces fold - Google Patents
It is a kind of to suppress the construction design method that rectangular membrane tension produces fold Download PDFInfo
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Abstract
It is a kind of to suppress the construction design method that rectangular membrane tension produces fold, belong to electronic applications and aerospace field.Based on topological optimization technology, optimization aim is turned to rigidity of structure maximum, with the minimum of minimum principal stress in rectangle face more than zero for optimizing stress is constrained, with rectangular membrane optimization structural area less than area allowable as optimization area, with film unit density value as design variable, the preferred configuration of tension corrugationless is proposed.Based on optimum results, the wrinkle-free geometry designs scheme of film tension is proposed, provide the tolerance zone of geometry designs scheme key parameter, be conducive to digitlization CAD to realize.Film optimal design proposed by the present invention, can effectively suppress and eliminate the fold that film is produced in tension, the purpose wrinkle-free so as to reach film tension.The present invention only modifies to membrane structure shape, it is easy to accomplish, without supplementary structure and extra control, input cost is low and workable.Structural design scheme proposed by the present invention, can meet the film surface smoothness requirements of harshness.
Description
Technical field
It is more particularly to a kind of to require that suppressing tension produces fold the invention belongs to electronic applications and aerospace field
Rectangular membrane construction design method, is applied to some membrane structure surface finish requirements aspect higher.
Background technology
With smaller Out-of Plane Stiffness, outer unstability produces fold to membrane structure (flakiness ratio >=500) easily below stretching action,
Influence surface flatness, electric property and mechanical property of membrane structure etc..To improve the performance of membrane structure, one kind side is needed badly
Method and scheme suppress or eliminate fold.
Current techniques are using supplementary structures such as bar, beams or apply extra physics, the chemically and electrically suppression such as control fold
Derivative and development, but extra weight, the concomitant problem such as generation using limitation and new fold can be brought.The present invention proposes one
Film class formation optimization method and prioritization scheme are planted, is reached preferably by changing membrane structure free margins and loading side curve shape
Suppress or eliminate the purpose of fold and the effect of corrugationless tension film, it is ensured that membrane structure possess surface accuracy higher and compared with
Good electric property and mechanical property, can be applied to electronic applications and aerospace field.
The content of the invention
The problem to be solved in the present invention is：For deficiency of the prior art, propose it is a kind of it is quick effectively, be independent of auxiliary
The optimum structure design method and prioritization scheme of structure weightening, workable suppression rectangular film tension fold.
Technical scheme：
A kind of to suppress the construction design method that rectangular membrane tension produces fold, step is as follows：
Step S01：Rectangular membrane FEM model of the slenderness ratio more than 1 is set up, the both sides of length direction are defined as freedom
Side, the both sides of width are defined as loading side；Rectangular membrane is simulated using two dimensional surface stress element bearing along its length
Stress state during 1% elongation strain, extracts the minimum of principal stress in the minimal face of rectangular membrane；
Step S02：Rectangular membrane topological optimization model is set up, monolithic film membrane is defined as design domain Ωdes, design domain Ωdes
Including domains of material ΩmWith non-domains of material Ωvoid, and meet Ωm∪Ωvoid=ΩdesWithRelation；Optimization aim
It is rectangular membrane maximizing stiffness, and meets stress constraint (principal stress in the minimal face of the rectangular membrane extracted in step S01 simultaneously
More than zero) and area-constrained (after optimization structural area be less than area allowable), optimized variable is each unit density to minimum；
The column of rectangular membrane topological optimization model is
Wherein, W (u) is the rectangular membrane rigidity of structure, and t, u and v are respectively and act on loading border ΓTOn face power, displacement
Field and virtual displacement allowable；UadIt is virtual displacement space allowable；A (u, v) and l (v) are energy bilinear form and load linear forms；
min(σmin,x)>0It is stress constraint, wherein min (σmin,x) it is design domain ΩmPrincipal stress in middle each unit x minimal faces
Minimum, when this minimum be more than zero when, fold will not occur；For area-constrained, A is design
Domain ΩmMiddle domains of material ΩdesArea, A*Design domain ΩmMiddle domains of material ΩdesArea allowable；χ(x)∈{0,1}x∈ΩdesFor
Characterize design domain ΩmMiddle domains of material ΩmWith non-domains of material ΩvoidRelation, be domains of material when χ (x)=1 represents active cell
Ωm, otherwise it is non-domains of material Ω when χ (x)=0 represents active cellvoid；
Step S03：Topological optimization obtains the corresponding preferred configuration of film tension corrugationless, extracts material in optimization configuration
The geometric properties in domain, and calculating is simulated using finite element simulation, obtain each geometric properties and cause that film stretches the critical of corrugationless
Value.
Described free margins is shaped as integrated symmetric inner concave curve.
Described carrying side is shaped as Local Symmetric inner concave curve.
Described free margins is shaped as semiellipse line integrated symmetric inner concave curve, short axle b long1With the ratio of rectangular membrane half-breadth w
Value is more than 3.7%, and fold will not be produced during rectangular membrane tension.
Described free margins is shaped as half cosine integrated symmetric inner concave curve, amplitude b2Ratio with rectangular membrane half-breadth w is big
Fold will not be produced when 2.05%, rectangular membrane tension.
Described free margins is shaped as half hyperbolic cosine integrated symmetric inner concave curve, amplitude b3With the ratio of rectangular membrane half-breadth w
Value is more than 2.2%, and fold will not be produced during rectangular membrane tension.
Described free margins is shaped as batten integrated symmetric inner concave curve, amplitude b4The ratio wide with rectangular membrane class formation is big
Fold will not be produced when 1.93%, rectangular membrane tension.
Described free margins is shaped as overall indent symmetrical curve containing local dip, and disturbance can be using outwardly or inwardly
The modes such as pit.
It (can be semiellipse line, half cosine curve, half hyperbolic cosine that described free margins is shaped as integrated symmetric inner concave curve
Curve, SPL shape or the local dip of overall indent), the length on the loading side reduces.
It (can be semiellipse line, half cosine curve, half hyperbolic cosine that described free margins is shaped as integrated symmetric inner concave curve
Curve, SPL shape or overall indent local dip), the loading side uses the symmetrical inner concave curve shape (can be for half is ellipse
Round wires, half cosine curve, half hyperbolic cosine curve, SPL shape or the local dip of overall indent)
Topological optimization model based on step 2 obtains the preferred configuration of rectangular membrane tension corrugationless, extracts excellent based on step 3
Change the geometric properties of domains of material in configuration, be summarized as free margins integrated symmetric inner concave curve, reduce loading edge lengths and add
Carry the features such as side local inner concave curve.Minimum principal stress during Optimal Structure Designing scheme is used based on fold criterion analysed film
Distribution, decision structure prioritization scheme produces the parameter threshold of corrugationless film.
Fold criterion based on principal stress is represented by：
Wherein σminAnd σmaxIn the face that two dimensional surface stress element is produced during for film tension in minimum principal stress and face most
Big principal stress.
Beneficial effects of the present invention：
1. the present invention is provided suppression and rectangular film structural optimization method and the optimizing design scheme of elimination tension fold,
Only need to change the effect that membrane structure shape is obtained with less fold amplitude or corrugationless, reduce fold to film
The influence of physics, chemistry, electricity and surface accuracy, method for designing is easy and effective.
2. the effect for suppressing and eliminating stretching fold is reached while the present invention ensures that larger continuous face is accumulated, compared to existing
The supplementary structure schemes such as some addition bars, beam are compared, and operation is fairly simple, without extra cost, will not cause the increase of weight.
3. the present invention is suppressed and is eliminated the effect of tension fold by changing rectangular film planform, compared to existing
The control program such as extra mechanics, chemistry, the electricity of applying, simple to operate, it is convenient to realize, highly versatile.
4. the present invention describes rectangular film structure optimization scheme using different curve representations, can be directly used for digitlization
CAD is processed, and realizes batch machining.
Brief description of the drawings
Fig. 1 is that rectangle membrane structure suppresses and eliminate the Optimal Structure Designing scheme schematic diagram of tension fold.A () tension is easily produced
The initial rectangular membrane structure of raw fold, with rectangle center membrane as origin, length direction is x-axis, and rectangular membrane half is long, half-breadth is respectively
l,w.B () tension is not likely to produce the rectangular membrane optimization structure of fold, with rectangle center membrane as origin, length direction is x-axis, rectangle
Film optimization structure half is long, half-breadth is respectively l, w ' (w '≤w).Rectangular membrane optimization structure is by setting overall indent free margins, office
Portion indent loading side, reduction loading edge lengths etc. suppress and eliminate rectangle membrane structure tension fold.Wherein overall indent free margins
Amplitude be bi(i=1,2,3,4), as i=1, overall indent free margins is stated using semiellipse line drawing；It is overall interior as i=2
Recessed free margins is described using half cosine curve；As i=3, overall indent free margins is stated using half hyperbolic cosine line drawing；Work as i=4
When overall indent free margins use some SPL descriptions.
Fig. 2 uses the present invention to set free margins as semiellipse is whole for Graphene (300nm long, 150nm wide, thick 0.335nm)
The suppression of internal sag vertical curve prioritization scheme and elimination draping effect figure.Fold is produced during (a) rectangular graphene tension, fold is maximum
Amplitude is 0.55nm；B () rectangular graphene uses semiellipse line free margins (b1/ w=2%) when tension produce fold, fold is most
Amplitude is 0.16nm；C () rectangular graphene uses semiellipse line free margins (b1/ w=5%) when tension do not produce fold；(d)
Rectangular graphene uses semiellipse line free margins (b1/ w=20%) when tension do not produce fold；E () rectangular graphene is using half
Ellipse free margins (b1/ w=90%) when tension do not produce fold.
Fig. 3 is that rectangle kapton films (40mm long, 20mm wide, thick 12.5 μm) use the present invention to set free margins as semiellipse
The suppression of overall inner concave curve prioritization scheme and elimination draping effect figure.Fold, fold are produced during (a) rectangle Kapton film tensions
Maximum amplitude is 210.5 μm；B () rectangle Kapton films use semiellipse line free margins (b1/ w=10%) when tension do not produce pleat
Wrinkle；C () rectangle Kapton films use semiellipse line free margins (b1/ w=30%) when tension do not produce fold；(d) rectangle
Kapton films use semiellipse line free margins (b1/ w=50%) when tension do not produce fold；E () rectangle Kapton films are using half
Ellipse free margins (b1/ w=70%) when tension do not produce fold；F () rectangle Kapton films use semiellipse line free margins (b1/
Tension does not produce fold when w=90%).
Specific embodiment
Below in conjunction with the accompanying drawings and technical scheme, specific embodiment of the invention is described in further detail.
It should be noted that in following specific embodiments, when embodiments of the present invention are described in detail, in order to clear
Ground represents structure of the invention in order to illustrate, spy, not according to general scale, and has carried out part to the structure in accompanying drawing
Amplifying, deform and simplify treatment, therefore, should avoid being understood in this, as limitation of the invention.
A kind of to suppress the construction design method that rectangular membrane tension produces fold, step is as follows：
Step S01：Rectangular membrane FEM model of the slenderness ratio more than 1 is set up, the both sides of length direction are defined as freedom
Side, the both sides of width are defined as loading side；Rectangular membrane is simulated using two dimensional surface stress element bearing along its length
Stress state during 1% elongation strain, extracts the minimum of principal stress in the minimal face of rectangular membrane；
Step S02：Rectangular membrane topological optimization model is set up, monolithic film membrane is defined as design domain Ωdes, design domain Ωdes
Including domains of material ΩmWith non-domains of material Ωvoid, and meet Ωm∪Ωvoid=ΩdesWithRelation；Optimization aim
It is rectangular membrane maximizing stiffness, and meets stress constraint (principal stress in the minimal face of the rectangular membrane extracted in step S01 simultaneously
More than zero) and area-constrained (after optimization structural area be less than area allowable), optimized variable is each unit density to minimum；
The column of rectangular membrane topological optimization model is
Wherein, W (u) is the rectangular membrane rigidity of structure, and t, u and v are respectively face power, the displacement acted on loading border Γ T
Field and virtual displacement allowable；UadIt is virtual displacement space allowable；A (u, v) and l (v) are energy bilinear form and load linear forms；
min(σmin,x)>0It is stress constraint, wherein min (σmin,x) it is design domain ΩmPrincipal stress in middle each unit x minimal faces
Minimum, when this minimum be more than zero when, fold will not occur；For area-constrained, A is design
Domain ΩmMiddle domains of material ΩdesArea, A*Design domain ΩmMiddle domains of material ΩdesArea allowable；χ(x)∈{0,1}x∈ΩdesFor
Characterize design domain ΩmMiddle domains of material ΩmWith non-domains of material ΩvoidRelation, be domains of material when χ (x)=1 represents active cell
Ωm, otherwise it is non-domains of material Ω when χ (x)=0 represents active cellvoid；
Step S03：Topological optimization obtains the corresponding preferred configuration of film tension corrugationless, extracts material in optimization configuration
The geometric properties in domain, and calculating is simulated using finite element simulation, obtain each geometric properties and cause that film stretches the critical of corrugationless
Value.
In this step, the geometric properties of domains of material have three kinds of different schemes, be respectively setting free margins be shaped as it is whole
The symmetrical inner concave curve of body, reduce loading while length, setting loading while be shaped as Local Symmetric inner concave curve, as shown in Figure 1.It is right
In the boundary geometrical feature of optimization membrane structure, can be using the one kind in above-mentioned three kinds of schemes or any combination between them.
When integrated symmetric inner concave curve scheme is shaped as using setting free margins, the free margins can use semiellipse line
Integrated symmetric inner concave curve, rectangle center membrane is the origin of ellipse equation, with tensile load direction as x-axis.Use semiellipse
Line EQUATION x2/l2+(y-w)2/b1 2=1 (w-b1≤ y≤w) and x2/l2+(y+w)2/b1 2=1 (- w≤y≤- w+b1) setting rectangle
Membrane structure upper and lower ends free margins shape.Wherein l, w, b1The respectively half-breadth of rectangular membrane, half long and semiellipse line short axle
It is long, as semiellipse line short axle b long1Ratio with rectangular membrane half-breadth w is more than 3.7%, and fold will not be produced during rectangular membrane tension.
When integrated symmetric inner concave curve scheme is shaped as using setting free margins, the free margins can be whole using half cosine
The symmetrical inner concave curve of body, rectangle center membrane is the origin of half cosine curve equation, with tensile load direction as x-axis.It is remaining using half
String equation y=-b2cos(0.5πx/l)+w(-l≤x≤l,w-b2≤ y≤w) and y=b2cos(0.5πx/l)-w(-l≤x≤
l,-w≤y≤b2- w) setting rectangular film structure upper and lower ends free margins shape.Wherein l, w, b2Respectively the half-breadth of rectangular membrane,
Half long and half cosine line amplitude, as half cosine curve amplitude b2Ratio with rectangular membrane half-breadth w is more than 2.05%, and rectangular membrane is received
Fold will not be produced during drawing.
When integrated symmetric inner concave curve scheme is shaped as using setting free margins, the free margins can be used more than half hyperbolic
String integrated symmetric inner concave curve, rectangle center membrane is origin, with tensile load direction as x-axis.Use half hyperbolic cosine equationWith
Setting rectangular film structure upper and lower ends free margins shape.Wherein l, w, b3Respectively the half-breadth of rectangular membrane, half grow and half hyperbolic
The amplitude of cosine line, as half hyperbolic cosine curve amplitude b3Ratio with rectangular membrane half-breadth w is more than 2.2%, during rectangular membrane tension
Fold will not be produced.
When integrated symmetric inner concave curve scheme is shaped as using setting free margins, the free margins can use batten entirety
Symmetrical inner concave curve, rectangle center membrane is origin, with tensile load direction as x-axis.Used point (- l, w), (0, b4),(l,w)
(- l ,-w), (0 ,-b4), the SPL setting rectangular film structure upper and lower ends free margins shape of (l ,-w).Wherein l, w,
b4The respectively half-breadth of rectangular membrane, half long and SPL amplitude, as SPL amplitude b4With the ratio of rectangular membrane half-breadth w
More than 1.93%, fold will not be produced during rectangular membrane tension.
When integrated symmetric inner concave curve scheme is shaped as using setting free margins, the free margins can use batten entirety
The design of symmetrical inner concave curve local dip.I.e. the overall shape using indent, locally takes outwardly or concaves
Hole disturbance form.The overall concave shape can be but not limited to more than above-mentioned semiellipse line, half cosine curve, half hyperbolic
Chord curve, SPL.
When integrated symmetric inner concave curve scheme is shaped as using setting free margins, can simultaneously reduce loading edge lengths.
Shown in the loading side half a length of w', such as Fig. 1 (b), its tolerance zone is w-b<w'<W, can reach elimination rectangular film structure and receive
Draw fold.It is bent that the concave shape of free margins can be but not limited to above-mentioned semiellipse line, half cosine curve, half hyperbolic cosine
Line, SPL.
When integrated symmetric inner concave curve scheme is shaped as using setting free margins, loading side can be concurrently set locally right
Claim concave shape.It is bent that loading side concave shape can be but not limited to above-mentioned semiellipse line, half cosine curve, half hyperbolic cosine
Line, SPL.
Rectangular film structure is applied to the two-dimension plane structure of the ratio between width and thickness more than 500, from the stone of micro-scale
Membrane structure of the discrete molecules such as the black alkene structure to macro-scale.In order to be addressed further under the beneficial effect of such scheme, respectively
By taking microcosmic Graphene rectangular film material and macroscopical polyimides Kapton rectangular films as an example, the effective of prioritization scheme is verified
Property.Specific parameter and technical scheme difference are as described below.
Embodiment 1：Selection length is 300nm, and a width of 150nm, thickness is the single-layer graphene film of 0.335nm, free margins
Using semiellipse inner concave curve, as shown in Fig. 2 the semiellipse short axle ratio b with graphene film half-breadth long1/ w is respectively 0%,
2%, 5%, 20%, 90%.For original rectangular graphene film, fold maximum amplitude is 0.55nm in drawing process.Work as b1/
During w=2%, fold maximum amplitude is 0.16nm in drawing process.Work as b1/w>When 3.7%, nothing in graphene film drawing process
Obvious fold is produced.
Embodiment 2：Selection size is the polyimides Kapton films of (40mm × 20mm × 12.5 μm), and free margins is using half
Oval inner concave curve, as shown in figure 3, the semiellipse short axle ratio b with graphene film half-breadth long1/ w is respectively 0%, 10%,
30%, 50%, 70%, 90%.Can observe under 7.5% elongation strain, original rectangular film has fold to produce, and uses
After the free margins of semiellipse inner concave curve shape, film is produced without obvious fold.
Above-described is only the preferred embodiments of the present invention, and the embodiment simultaneously is not used to limit patent guarantor of the invention
Shield scope, therefore every equivalent structure change made with specification of the invention and accompanying drawing content, similarly should be included in
In protection scope of the present invention.
Claims (10)
1. it is a kind of to suppress the construction design method that rectangular membrane tension produces fold, it is characterised in that step is as follows：
Step S01：Rectangular membrane FEM model of the slenderness ratio more than 1 is set up, the both sides of length direction are defined as free margins, it is wide
The both sides for spending direction are defined as loading side；Rectangular membrane is simulated using two dimensional surface stress element bearing 1% to draw along its length
Stress state during stretching strain, extracts the minimum of principal stress in the minimal face of rectangular membrane；
Step S02：Rectangular membrane topological optimization model is set up, monolithic film membrane is defined as design domain Ωdes, design domain ΩdesIncluding
Domains of material ΩmWith non-domains of material Ωvoid, and meet Ωm∪Ωvoid=ΩdesWithRelation；Optimization aim is square
Shape film maximizing stiffness, and meet stress constraint and area-constrained simultaneously, stress constraint is the rectangular membrane extracted in step S01
The minimum of principal stress is more than zero in minimal face, it is area-constrained for after optimization structural area be less than area allowable, optimized variable is
Each unit density；
The column of rectangular membrane topological optimization model is
Wherein, W (u) is the rectangular membrane rigidity of structure, and t, u and v are respectively and act on loading border ΓTOn face power, displacement field and permitted
Use virtual displacement；UadIt is virtual displacement space allowable；A (u, v) and l (v) are energy bilinear form and load linear forms；min
(σmin,x)>0It is stress constraint, wherein min (σmin,x) it is design domain ΩmPrincipal stress in middle each unit x minimal faces
Minimum, when this minimum is more than zero, fold will not occur；For area-constrained, A is design domain
ΩmMiddle domains of material ΩdesArea, A*It is design domain ΩmMiddle domains of material ΩdesArea allowable；χ(x)∈{0,1}x∈ΩdesFor
Characterize design domain ΩmMiddle domains of material ΩmWith non-domains of material ΩvoidRelation, be domains of material when χ (x)=1 represents active cell
Ωm, it is non-domains of material Ω when χ (x)=0 represents active cellvoid；
Step S03：Topological optimization obtains the corresponding preferred configuration of film tension corrugationless, extracts domains of material in optimization configuration
Geometric properties, and calculating is simulated using finite element simulation, obtain each geometric properties and cause that film stretches the critical value of corrugationless；
The geometric properties of domains of material have three kinds of schemes：Setting free margins is shaped as integrated symmetric inner concave curve, reduces loading side
Length and setting loading side are shaped as Local Symmetric inner concave curve, for the boundary geometrical feature for optimizing membrane structure, using above-mentioned
One kind in three kinds of schemes or any combination between them.
2. construction design method according to claim 1, it is characterised in that overall right when being shaped as using setting free margins
When claiming inner concave curve, the free margins uses semiellipse line integrated symmetric inner concave curve, is ellipse equation with rectangle center membrane
Origin, with tensile load direction as x-axis；Use semiellipse line EQUATION x2/l2+(y-w)2/b1 2=1 (w-b1≤ y≤w) and x2/l2+
(y+w)2/b1 2=1 (- w≤y≤- w+b1) set rectangular film structure freely up and down side shape；Wherein l, w, b1Respectively rectangle
The half-breadth of film, half short axle long and semiellipse line are long, as semiellipse line short axle b long1Ratio with rectangular membrane half-breadth w is more than
3.7%, fold will not be produced during rectangular membrane tension.
3. construction design method according to claim 1, it is characterised in that overall right when being shaped as using setting free margins
When claiming inner concave curve, the free margins uses half cosine integrated symmetric inner concave curve, is half cosine curve equation with rectangle center membrane
Origin, with tensile load direction as x-axis；Use half cosine equation y=-b2cos(0.5πx/l)+w(-l≤x≤l,w-b2≤y
≤ w) and y=b2cos(0.5πx/l)-w(-l≤x≤l,-w≤y≤b2- w) set rectangular film structure freely up and down side shape；
Wherein, l, w, b2The respectively half-breadth of rectangular membrane, half long and half cosine line amplitude, as half cosine curve amplitude b2With rectangular membrane
The ratio of half-breadth w is more than 2.05%, and fold will not be produced during rectangular membrane tension.
4. construction design method according to claim 1, it is characterised in that overall right when being shaped as using setting free margins
When claiming inner concave curve, the free margins uses half hyperbolic cosine integrated symmetric inner concave curve, with rectangle center membrane as origin, to stretch
Loading direction is x-axis；Use half hyperbolic cosine equation
With Setting rectangular film structure is freely up and down
Side shape；Wherein, l, w, b3The respectively half-breadth of rectangular membrane, half long and half hyperbolic cosine line amplitude, when half hyperbolic cosine is bent
Wire spoke value b3Ratio with rectangular membrane half-breadth w is more than 2.2%, and fold will not be produced during rectangular membrane tension.
5. construction design method according to claim 1, it is characterised in that overall right when being shaped as using setting free margins
When claiming inner concave curve, the free margins uses batten integrated symmetric inner concave curve, with rectangle center membrane as origin, with tensile load side
To being x-axis；Used point (- l, w), (0, b4), (l, w) and (- l ,-w), (0 ,-b4), the SPL setting rectangle of (l ,-w)
Membrane structure freely up and down side shape；Wherein, l, w, b4The respectively half-breadth of rectangular membrane, half long and SPL amplitude, when
SPL amplitude b4Ratio with rectangular membrane half-breadth w is more than 1.93%, and fold will not be produced during rectangular membrane tension.
6. according to any described construction design methods of claim 2-5, it is characterised in that be shaped as when using setting free margins
During integrated symmetric inner concave curve, the free margins combination local dip design, the i.e. overall shape using symmetrical inner concave curve,
Part takes outwardly or inside pit disturbs form.
7. according to any described construction design methods of claim 2-5, it is characterised in that be shaped as when using setting free margins
During integrated symmetric inner concave curve, while reducing loading edge lengths；The a length of w' in the loading side half, its tolerance zone is w-b<w'<W,
Reach the effect for eliminating rectangular film structure tension fold.
8. according to any described construction design methods of claim 2-5, it is characterised in that be shaped as when using setting free margins
During integrated symmetric inner concave curve, loading side Local Symmetric concave shape is concurrently set, reach and eliminate rectangular film tension fold
Effect.
9. construction design method according to claim 6, it is characterised in that overall right when being shaped as using setting free margins
Claim inner concave curve when containing local dip, concurrently set loading side Local Symmetric concave shape, reach and eliminate rectangular film tension pleat
The effect of wrinkle.
10. the construction design method according to claim 2,3,4,5 or 8, it is characterised in that the material of described rectangular membrane
It is microcosmic material Graphene, its flakiness ratio is more than 500:1；Or the material of described rectangular membrane is macroscopic material polyimides
Kapton films, its flakiness ratio is more than 500:1.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108133097A (en) * | 2017-12-21 | 2018-06-08 | 大连理工大学 | A kind of space membrane structure clamp-shaped optimum design method for inhibiting fold |
| CN113806982A (en) * | 2021-09-17 | 2021-12-17 | 北京航空航天大学杭州创新研究院 | Substrate topology optimization method for variable-structure wearable flexible thermoelectric device |
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| CN108133097A (en) * | 2017-12-21 | 2018-06-08 | 大连理工大学 | A kind of space membrane structure clamp-shaped optimum design method for inhibiting fold |
| WO2019120239A1 (en) * | 2017-12-21 | 2019-06-27 | 大连理工大学 | Design optimization method for shape of crease-suppressing holder for space film structure |
| CN108133097B (en) * | 2017-12-21 | 2021-01-19 | 大连理工大学 | Space film structure clamp shape optimization design method for inhibiting wrinkles |
| CN113806982A (en) * | 2021-09-17 | 2021-12-17 | 北京航空航天大学杭州创新研究院 | Substrate topology optimization method for variable-structure wearable flexible thermoelectric device |
| CN113806982B (en) * | 2021-09-17 | 2023-08-29 | 北京航空航天大学杭州创新研究院 | Variable structure wearable flexible thermoelectric device substrate topology optimization method |
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