| United States Patent Application |
20070138341
|
| Kind Code
|
A1
|
|
Joshi; Shiv P.
;   et al.
|
June 21, 2007
|
Transformable skin
Abstract
A transformable skin. The transformable skin includes a first mechanism
for enabling a first type of deformation of the skin. A second mechanism
resists a second type of deformation that is different than the first
type of deformation in direction or form. In a more specific embodiment,
the first mechanism and the second mechanism are interconnected. The
first type of deformation is strain deformation along a first path that
is inline with a first axis of the skin. In the specific embodiment, the
second type of deformation includes shear deformation and strain
deformation that is inline with a second axis that is approximately
perpendicular to the first axis. The first mechanism includes a plural
partially planar spring structures arranged parallel to each other. The
plural partially planar spring structures are resistant to bending and
are interconnected via rigid connecting structures. The spring structures
are partially planar, and the connecting structures are covered with an
elastomeric material.
| Inventors: |
Joshi; Shiv P.; (Rancho Palos Verdes, CA)
; Cowan; David L.; (Lakewood, CA)
|
| Correspondence Name and Address:
|
c/o Gerald Andersen;Ste 400
2780 Skypark Drive
Torrance
CA
90505
US
|
| Serial No.:
|
007728 |
| Series Code:
|
11
|
| Filed:
|
December 7, 2004 |
| U.S. Current Class: |
244/129.1 |
| U.S. Class at Publication: |
244/129.1 |
| Intern'l Class: |
B64C 1/00 20060101 B64C001/00 |
Goverment Interests
[0001] This invention was made with Government support under Defense
Advanced Research Projects Agency (DARPA) Contract No. F33615-02-C-3257.
The Government may have certain rights in this invention.
Claims
1. A transformable skin comprising: first means for enabling a first type
of deformation of said skin and second means for resisting a second type
of deformation different than said first type of deformation in direction
or form.
2. The skin of claim 1 wherein said first means and said second means are
interconnected.
3. The skin of claim 2 wherein said first type of deformation is strain
deformation along a first path, said first path inline with a first axis
contained within an area of said skin.
4. The skin of claim 3 wherein said second type of deformation includes
shear deformation.
5. The skin of claim 3 wherein said second type of deformation includes
strain deformation inline with a second axis angled relative to said
first axis.
6. The skin of claim 5 wherein said first axis is approximately
perpendicular to said second axis.
7. The skin of claim 6 wherein said first mechanism includes plural
partially planar spring structures arranged parallel to each other.
8. The skin of claim 7 wherein said spring structures are manufactured
from a memory material and exhibit recoverable plastic deformation.
9. The skin of claim 8 wherein said memory material is nickel titanium.
10. The skin of claim 8 wherein said partially planar spring structures
are resistant to bulging or bending from an initial plane of said skin
and further including means for selectively varying resistance to bending
or bulging in different regions of said skin.
11. The skin of claim 7 wherein said plural partially planar spring
structures are interconnected via connecting structures included in said
second means, said connecting structures resistant to bending.
12. The skin of claim 11 wherein said plural partially planar spring
structures arc covered with an elastomeric material
13. The skin of claim 12 wherein said connecting structures arc rigid.
14. The skin of claim 12 wherein said connecting structures include pivot
connectors.
15. The skin of claim 1 wherein said first type of deformation includes
shear deformation.
16. The skin of claim 15 wherein said first type or deformation further
includes strain deformation up to a predetermined length.
17. The skin of claim 16 wherein said second type of deformation includes
strain deformation beyond said predetermined length.
18. The skin of claim 17 wherein said skin includes plural parallel stiff
members, said parallel stiff members being resistant to bending and
interconnected via an elastomeric material.
19. A transformable skin comprising: first means for providing in-plane
rigidity of said skin and second means for enabling deformation within a
plane of said skin, said second means employing said first means.
20. The skin of claim 19 wherein said second means includes means for
employing said first means to enable shear and/or strain deformation of
said skin.
21. A transformable skin comprising: first means for enabling deformation
in a first direction approximately inline with a first axis of said skin
and second means for resisting deformation in a second direction and
about said first axis.
22. The skin of claim 21 wherein said first direction is confined within a
surface area of said transformable skin.
23. The skin of claim 22 wherein said second direction is approximately
perpendicular to said first direction.
24. The skin of claim 23 wherein said first means includes plural
partially planar springs that resist bending, which corresponds to
deformation about said first axis, but enable stretching along said first
axis, which includes said deformation in said first direction.
25. The skin of claim 24 wherein said second means includes connectors
between said plural partially planar springs, said connectors being
resistant to bending.
26. The skin of claim 25 wherein said connectors are resistant to
extending.
27. The skin of claim 24 wherein said second means includes pivot
connectors between said plural partially planar springs, said pivot
connectors being resistant to bending, but enabling shear deformation of
said transformable skin.
28. A transformable skin comprising: first means for enabling shear or
strain deformation along a first path coincident with a first axis or
said skin; second means for resisting bending deformation about said
first axis; and third means for resisting stain deformation along a
second path beyond a predetermined distance, said second path
approximately perpendicular to said first path.
29. The skin of claim 28 wherein said transformable skin includes
interconnected nickel titanium spring structures.
30. The skin of claim 28 wherein said transformable skin includes one or
more support beams or stiffening rods.
31. The skin of claim 30 wherein said one or more support beams or
stiffening rods may pivot relative to one or more additional support
beams or rods oriented in different directions than said one or more
support beams or stiffening rods.
32. The skin of claim 28 wherein said transformable skin further includes
a deformable wing upon which said skin is mounted, said deformable wing
configured so that changes in sweep result in corresponding changes in
wing chord.
33. The skin of claim 32 wherein said transformable wing further includes
bellows structures to inhibit airfoil twisting.
34. The skin of claim 33 wherein said transformable skin is fitted with
crisscrossed reinforcement to further enhance in-plane rigidity.
35. The skin of claim 34 wherein said skin exhibits selectively varying
thickness.
36. A deformable skin comprising: first means for enabling shear or strain
deformation along a first direction; second means for resisting bending
deformation about a plane of said deformable skin, thereby causing said
skin to exhibit in-plane rigidity; and third means for controlling strain
deformation along a second direction as a function of said strain
deformation along said first direction.
37. The skin of claim 36 wherein said third means includes junctions that
facilitate establishing a predetermined relationship between horizontal
strain and vertical strain, said predetermined relationship determined by
geometry of said elastically hinged junctions.
38. The skin of claim 37 wherein said predetermined relationship is such
that said skin exhibits approximately no vertical strain deformation in
response to certain strain deformation.
39. The skin of claim 38 wherein said junctions include vertical
connecting beams extending between substantially U-shaped curves or
V-shaped curves, said U-shaped curves transitioning to substantially
V-shaped curves or vice versa in response to said certain horizontal
strain, thereby not resulting in corresponding vertical strain.
40. The skin of claim 37 wherein said junctions ate elastically hinged
junctions.
41. The skin of claim 40 wherein each or said elastically hinged junctions
include constrictions between angled legs and a vertical leg, said
constrictions meeting at a vertex of each of said elastically hinged
junctions.
42. The skin of claim 41 wherein said angled legs and said vertical leg
are substantially rigid.
43. The skin of claim 42 wherein two or more of said elastically hinged
junctions are interconnected so that said vertical leg of each of said
two or more elastically hinged junctions is connected to another
elastically hinged junction at said vertex thereof.
44. The skin of claim 43 further including an inverted-U formation formed
at said junction, an aspect ratio of said inverted-U formation affecting
said predetermined relationship between horizontal strain and vertical
strain.
Description
BACKGROUND OF THE INVENTION
[0002] 1. Field of Invention
[0003] This invention relates to surfacing systems and materials.
Specifically, the present invention relates to geometrically
transformable layers, such as flexible airfoil skins or coverings.
[0004] 2. Description of the Related Art
[0005] Geometrically transformable skins are employed in various demanding
applications including sunroofs, sails, and morphing wings. Such
applications demand versatile coverings with specific flexibility and
rigidity requirements.
[0006] Versatile transformable skins are particularly important in
morphing-wing applications, where large pressure and temperature
gradients, aerodynamic loads, and drastic wing shape changes are common.
In such applications, tradeoffs between skin flexibility and structural
support capabilities are particularly problematic. Flexible skins
typically lack sufficient bending stiffness to withstand large
aerodynamic loads. Skins with suitable bending stiffness often lack
sufficient elasticity or flexibility to enable drastic wing shape
changes. Furthermore, conventional flexible skins are often undesirably
susceptible to permanent deformation.
[0007] An exemplary transformable covering is disclosed in U.S. Pat. No.
6,173,925, by Mueller, et al., entitled SKIN-RIB STRUCTURE, issued Jan.
16, 2001. The structure employs two skins with vertical ribs
interconnecting the skins. Unfortunately, such skins are complex and
expensive to implement and provide insufficient bending stiffness for
many applications. Furthermore, the interconnections between the skins
and ribs are particularly susceptible to wear.
[0008] Hence, a need exists in the art for a durable flexible skin that
provides sufficient flexibility to enable large in-plane shape changes of
an underlying structure while maintaining sufficient bending stiffness to
provide structural support. There exists a further need for an
accompanying airfoil and aircraft employing the flexible skin.
SUMMARY OF THE INVENTION
[0009] The need in the art is addressed by the transformable skin of the
present invention. In the illustrative embodiment, the inventive skin is
adapted for use with transformable airfoils, such as morphing aircraft
wings. The transformable skin includes a first mechanism for enabling a
first type of deformation of the skin. A second mechanism resists or
prevents a second type of deformation that is different than the first
type of deformation in direction or form.
[0010] In a more specific first embodiment, the first mechanism and the
second mechanism are interconnected. The first type of deformation is
elastic strain deformation along a first path that is inline with a first
axis of the skin. In this specific embodiment, the second type of
deformation includes strain deformation that is inline with a second axis
that is approximately perpendicular to the first axis and includes shear
deformation. The first mechanism includes plural substantially planar
spring structures arranged parallel to each other. The plural
substantially planar spring structures resist bending in response to
forces perpendicular to the plane of the spring structures. The
substantially planar spring structures are interconnected via connecting
structures of the second mechanism that also resist deformation in the
perpendicular planar direction and therefore add to the bending stiffness
of the skin. The spring structures and connecting structures are
partially planar and covered with or sandwiched between elastomeric
material.
[0011] In an alternative embodiment, the first type of deformation, which
is enabled by the transformable skin, includes elastic shear deformation.
In the alternative embodiment, the first type of deformation enabled by
the transformable skin further includes elastic strain deformation in
addition to the shear deformation. The elastic strain deformation is
permitted up to a predetermined length beyond which strain deformation is
inhibited by the second mechanism. In this embodiment, the skin includes
plural parallel stiff members that implement the second mechanism. The
parallel stiff members may be interconnected via or sandwiched between
elastomeric material to facilitate implementing the first and second
mechanisms.
[0012] The novel design of one embodiment of the present invention is
facilitated by the second mechanism, which inhibits bending deformation
without inhibiting strain or shear deformation. The resulting skin
provides superior structural support capabilities while requiring minimal
energy to implement strain and shear transformations of an accompanying
airfoil.
BRIEF DESCRIPTION OF THE DRAWINGS
[0013] FIG. 1 is a diagram showing a flexible skin enabling horizontal
strain deformation while maintaining lateral dimension by maintaining
bending stiffness according to an embodiment of the present invention.
[0014] FIG. 2 is a diagram of the flexible skin of FIG. 1 in a partially
extended position.
[0015] FIG. 3 is a diagram juxtaposing magnified views of a first
exemplary junction configuration and a second exemplary junction
configuration corresponding FIGS. 1 and 2, respectively.
[0016] FIG. 4 is a magnified view of a first alternative embodiment of the
flexible skin of FIG. 1.
[0017] FIG. 5 is a diagram of a second alternative embodiment of the
flexible skin of FIG. 1.
[0018] FIG. 6 is a diagram of the flexible skin of FIG. 5 exhibiting shear
deformation.
[0019] FIG. 7 is a more detailed diagram illustrating flexible connectors
between connecting beams and the bottom horizontal beam of the flexible
skin of FIG. 6.
[0020] FIG. 8 is a diagram of a third alternative embodiment of the
flexible skin of FIG. 1 having unique junctions for tailoring horizontal
and vertical strain deformation characteristics.
[0021] FIG. 9 is a more detailed diagram illustrating one of the unique
junctions of FIG. 8.
[0022] FIG. 10 is a diagram of the flexible skin of FIG. 8 in a partially
extended position.
[0023] FIG. 11 is a diagram of an exemplary morphing airfoil 70 employing
the flexible skin 10 of FIG. 1.
DESCRIPTION OF THE INVENTION
[0024] While the present invention is described herein with reference to
illustrative embodiments for particular applications, it should be
understood that the invention is not limited thereto. Those having
ordinary skill in the art and access to the teachings provided herein
will recognize additional modifications, applications, and embodiments
within the scope thereof and additional fields in which the present
invention would be of significant utility.
[0025] FIG. 1 is a diagram showing a flexible skin 10 that enables
horizontal extension, i.e., strain deformation, while maintaining bending
stiffness, i.e., inhibiting bending deformation. For clarity, certain
features, such as skin mounting connectors, have been omitted from the
figures. However, those skilled in the art with access to the present
teachings will know which features to implement and how to implement them
to meet the needs of a given application.
[0026] The flexible skin 10 includes plural coplanar partially planar
springs 12. The partially planar springs 12 are interconnected and
aligned with a plane of the skin 12 via partially planar vertical
connecting beams 14, which are oriented approximately perpendicular to an
exemplary strain axis 16 of the flexible skin 10. The strain axis 16,
which is a horizontal axis in the present embodiment, is perpendicular to
a vertical axis 18. The springs 12 and partially planar vertical
connecting beams 14 resist bending moments, such as bending moments about
the longitudinal axis 16, thereby providing in-plane rigidity, also
called bending stiffness or flexural stiffness. By resisting deformation
in the perpendicular planar direction (normal to the skin 10), the
connecting beams 14 contribute to the overall bending stiffness of the
skin 10.
[0027] For the purposes of the present discussion, in-plane rigidity is
stiffness or resistance to bending or deformation into positions outside
of a predetermined plane or surface. For example, a skin that exhibits
in-plane rigidity resists deformation that is not in response to forces
parallel to the surface area of the skin, such as deformation about any
axis contained with the surface area of the skin. Furthermore, such a
skin that exhibits in-plane rigidity will resist bulging or deformation
that would displace the skin from the original plane of the skin.
[0028] Furthermore, for the purposes of the present discussion, a
substantially flat or partially planar spring is a spring that has a
trace that may be laid substantially flat over a surface such that the
majority of the surface area of the trace associated with one side of the
partially planar spring rests on the surface. Hence, a conventional
cylindrical coiled spring is not considered substantially flat or
partially planar.
[0029] Similarly, a substantially flat or partially planar beam is a beam
that may be laid flat upon a surface so that the majority of the surface
area of the beam associated with one side of the beam, rests upon the
surface. Hence a cylindrical rod is not considered substantially flat for
the purposes of the present discussion, but a beam with a square or
rectangular cross-section is.
[0030] For the purposes of the present discussion, a deformable skin is a
covering with an outer shape and/or surface area that may adapt to
accommodate geometrical changes in a structure that supports and/or is
covered by the skin. Consequently, sliding skins, and various flexible
skins, such as elastomeric skins, are considered deformable skins.
Furthermore, a deformable skin may be porous. The terms deformable skin
and transformable skin are used interchangeably in the present
discussion.
[0031] A load-bearing deformable skin is adapted to resist pressure loads
normal or perpendicular to the surface. The degree to which a
load-bearing skin resists loads is application-specific. A load-bearing
skin resists caving-in or bulging-out in response to loads applied
perpendicular to the surface of the skin. Accordingly, load-bearing skins
generally transfer such pressure loads to the underlying support
structure that is covered by the skin. Ideally, load-bearing deformable
skins adapted for use with transformable airfoils exhibit in-plane
rigidity comparable to that of conventional fixed skins, such as those
covering conventional fixed-wing aircraft.
[0032] In the present specific embodiment, the flexible skin 10 is a
load-bearing deformable skin. The flexible skin 10 may be further
reinforced with various layers of elastomeric material as discussed more
fully below. The exact choice of layering materials is
application-specific and may be readily determined by one skilled in the
art to meet the needs of a given application without undue
experimentation.
[0033] In operation, the springs 12 and accompanying connecting rods 14
act as an interconnected spring structure that forms a skin frame. An
elastomeric material, such as rubber, may be disposed over the skin 10 to
reduce the porosity of the skin to meet the needs of a given application.
[0034] The springs 12 are oriented parallel to the axis 16. Accordingly,
the skin 10 may stretch, exhibiting elastic strain deformation in
horizontal directions or paths parallel to the axis 16. The skin 10 is
resistant to stretching in directions or along paths that are not
approximately parallel to the axis 16. For example, the rigid connecting
beams 14 and the vertical rigidity of the springs 12 cause the skin 10 to
resist extension perpendicular to the axis 16, i.e., parallel to the
vertical axis 18, when the springs 12 are maximally compressed.
[0035] Furthermore, the rigid vertical connecting beams 14 selectively
inhibit shear deformation. For example the skin 10 resists horizontal
shear deformation in response to shearing forces that are parallel to the
axis 16 when the springs 12 remain maximally compressed. When the springs
12 are extended, the skin 10 may exhibit horizontal shear deformation,
since one side of the skin may compress while the other side expands or
remains fixed.
[0036] Those skilled in the art will appreciate that the skin 10 resists
vertical shear deformation in response to shearing forces that are
approximately perpendicular to the horizontal axis 16. To enhance
resistance to vertical shear deformation, the spring structures 12 are
made taller and thicker with tighter-radius turns. The state of
compression of the springs 12 typically has less effect on vertical shear
deformation than on horizontal shear deformation.
[0037] To achieve the above-mentioned spring properties and corresponding
skin properties, the skin 10 is constructed by employing lithography to
etch the interconnected springs 12 and connecting beams 14 in a partially
rigid metallic layer. As is known in the art, lithography may involve
application of positive or negative photoresist to a metallic surface.
Ultraviolet light may then be employed to selectively alter the
photoresist to achieve a desired photoresist pattern. The altered or
unaltered photoresist is then washed from the metallic surface, and the
exposed metal is then etched via an etching agent. Subsequently, a
chemical is applied to remove the remaining photoresist.
[0038] Alternatively, the pattern formed by the springs 12 and connecting
beams 14 is stamped into a metal sheet. In the present specific
embodiment, skin structure 10 is made from a memory material, such as
nickel titanium, that can exhibit repeated plastic deformation. However,
other materials, including polymers and various alloys, may be employed
to construct the springs 12 and connecting beams 14 without departing
from the scope of the present invention. The springs 12 are chosen to be
thick enough to provide sufficient rigidity for a particular application.
[0039] The exact dimensions of the springs 12 and connecting beams 14 are
application specific and may be readily determined by those skilled in
the art to meet the needs of a given application. For example, in
miniature Unmanned Aerial Vehicle (UAV) applications, the springs 12 may
have dimensions on the order of micrometers or nanometers. In larger
aircraft, the springs 12 may have dimensions on the order of inches or
larger. The connecting beams 14 may be shrunk so that the springs 12 are
bonded directly together. Furthermore, the radii of curvature of the
springs 12 may be adjusted relative to the width of the springs 12. In
addition, the traces of the springs 12 may be made thicker or thinner or
may have strategically varying thickness and/or cross-sectional areas.
The thickness of the springs 12 may be varied by employing an initial
metallic sheet having varying thickness. Furthermore, by selectively
choosing materials and dimensions, the spring properties, such as spring
constants, of the springs 12 may be appropriately adjusted.
[0040] Those skilled in the art will appreciate that each of the springs
12 may have different spring constants to create certain zones in the
skin 10 that are more susceptible to strain deformation than other zones.
This may benefit applications wherein certain skin areas deform more than
other skin areas, and wherein certain skin regions will benefit from more
bending rigidity. Accordingly, the properties of the skin 10 may be
strategically varied across the skin 10 by selectively adjusting spring
parameters, such as dimensions and material composition.
[0041] The unique and versatile spring structure 10 selectively enables
in-plane horizontal strain deformation while providing in-plane rigidity
to inhibit bending, thereby providing structural support while allowing
shape changes of an underlying structure, such as a transformable
airfoil. The skin 10 resists certain types of in-plane deformation, such
as vertical strain and shear deformation, partially due to the rigidity
of the material employed to construct the skin 10.
[0042] In the present embodiment, the chosen material, nickel titanium, is
sufficiently durable to enable the springs 12 to repeatedly return to
their original position when stretched or compressed by an outside force,
such as might be caused by underlying transformable airfoil frame
structures, as discussed more fully below. In the present embodiment,
nickel titanium enables repeated recoverable plastic strain deformation
and repeated recoverable plastic shear deformation with little or no
reduction in skin durability. However, in an alternative embodiment, the
material may be selected to enable elastic deformation, such that the
springs 12 will provide a contraction force in accordance with Hook's Law
when extended.
[0043] An alternative skin may employ plastically deformable springs but
remain elastic depending on the material chosen to coat the springs 12
and connecting beams 14. For example, an accompanying elastomeric
material, such as rubber may provide sufficient elasticity to cause the
plastically deformable springs 12 to return to their original position,
thereby causing the entire skin 10 to behave elastically.
[0044] The flexible transformable skin 10 may undergo relatively large
in-plane deformation while maintaining predetermined ratios (or other
relationships, such as nonlinear functions) between horizontal strain,
vertical strain, and in-plane shear deformation. Longitudinal strain is a
measure of extension or contraction of a material line in a given
direction. Shear strain is measure of change in angle between two
orthogonal (at 90 degrees to each other) material lines.
[0045] FIG. 2 is a diagram of the flexible skin 10 of FIG. 1 in a
partially extended position. When the springs 12 extend, the radii of
curvature of the springs 12 increase, or the curvature of the springs 12
change from smooth curves to more triangular curves. The changes in
shapes of the curves and/or the changes in the radii of curvatures of the
curves of the springs 12 enable the beams 14 to separate further without
yielding vertical strain deformation. Specifically, the shape changes of
the curves of the springs 12 from rounded to more triangular or V-shaped
enable the skin 10 to exhibit horizontal strain deformation in-line with
the longitudinal axis 16 while exhibiting no vertical strain deformation.
[0046] The skin 10 may slightly compress vertically, thereby exhibiting
vertical strain deformation, when the skin 10 stretches horizontally
beyond a predetermined point. This point may be tailored by adjusting the
initial shapes of the curves of the springs 12. For the purposes of the
present discussion, the vertical compression is considered vertical
strain deformation, which may be elastic or plastic deformation
(including recoverable plastic deformation) or a combination thereof
depending on the application.
[0047] In the present specific embodiment, any vertical strain deformation
is minimal compared to the accompanying horizontal strain deformation
resulting from stretching of the springs 12. However, the amount of
compression resulting from horizontal extension of the skin 10 may be
adjusted by adjusting the diameter and radii of curvature of the curves
of the springs 12.
[0048] Those skilled in the art will appreciate that the rate of change in
diameters of the springs 12 with respect to the radii of curvature of the
springs 12 (.DELTA. diameter/.DELTA. radii of curvature) is a function of
the radii of curvature of the springs. Smaller radii of curvatures result
in smaller rates of change in spring diameter. Accordingly, a highly
compressed spring will exhibit less reduction in diameter in response to
stretching than a corresponding extended spring. Hence, to minimize
compression of the skin 10 in response to horizontal strain deformation,
the radii of curvature of the springs 12 are made relatively small, such
that the springs 12 are initially highly compressed.
[0049] Those skilled in the art will appreciate that the springs 12 may be
implemented via other extendible structures, such as pivotally linked
rods (not shown). Such linked rods would likely exhibit elastic strain
deformation unless coated or otherwise interconnected with an elastomeric
material or unless pivot connectors connecting the linked rods were
spring loaded.
[0050] Changes in spring height with respect to changes in radii of
curvature may be understood more fully by observing the rate in change in
height (h) of a right triangle with respect to the base (b) of the
triangle, which is given by the following equation derived from the
Pythagorean Theorem: d h d b = - b c 2 - b 2 ,
[ 1 ] where c is the hypotenuse of the right triangle and is
constant, since the lengths of the traces of the springs 12 remain
approximately constant. Note that as b increases, the absolute value of
the rate of change in height with respect to the base (dh/db) increases.
Hence, assuming a fixed spring trace length (c constant), then as b
increases (where b relates to the radii of curvature of the springs 12),
h (where h relates to spring diameter) compresses more rapidly with
increases in b, since the absolute value of dh/db increases with
increases in b.
[0051] FIG. 3 is a diagram juxtaposing magnified views of a first
exemplary junction configuration 22 and a more extended second exemplary
junction configuration 24, which may be used with the skins 10 of FIGS. 1
and 2, respectively. In the first junction configuration 22, the springs
12 exhibit relatively tight-radius curves, which are substantially
U-shaped. As the spring 12 of the first configuration 22 expands to the
second configuration 24, the U-shaped curves transition to substantially
V-shaped curves. The natural transition of the curves of the springs 12
from the U-shape to the V-shape enables horizontal strain deformation
without corresponding vertical strain deformation. Note that in FIG. 3,
the lengths of the illustrated segments of the springs 12 shown are equal
in both the first compressed configuration 22 and the second stretched
configuration 24. Furthermore, note that the footprint of the first
configuration 22 is equal in height but narrower than that of the second
configuration 24. Hence, the transitions between the first compressed
configuration 22 and the second stretched configuration 24 represent
horizontal strain deformation in line with the horizontal axis 16 with no
corresponding vertical strain deformation.
[0052] Hence, FIG. 3 illustrates that extension along the axis 16 of the
substantially planar springs 12 is facilitated by the change in shape of
the spring curves, i.e., by the straightening of the bends or curves in
the spring segments 12 between connecting beams 14. The vertical
connecting beams 14 facilitate this natural transition in response to
opposing forces acting along the axis 16. The partially straightened
segments bend or rotate outward about the vertical connecting beams 14 to
facilitate in-plane horizontal strain with little or no vertical strain.
[0053] FIG. 4 is a magnified view of a first alternative embodiment 10' of
the flexible skin 10 of FIG. 1. The alternative skin 10' of FIG. 4 is
similar to the skin 10 of FIG. 1 with the exception that the connecting
beams 14 shown in FIG. 1 are replaced with pivoting connecting structures
14' in FIG. 4. Furthermore, the flexible skin 10' includes an elastomeric
skin coating 20 that coats the springs 12 and accompanying pivoting
connecting structures 14'. Unlike the skin 10 of FIG. 1, the skin 10'
facilitates horizontal shear deformation when the springs 12 remain
maximally compressed.
[0054] The pivoting connecting structures 14' are pivotally connected
between adjacent springs 12. These pivoting connecting structures 14'
facilitate horizontal shear deformation. The pivot connectors that
connect the pivoting connecting structures 14' to the partially-planar
springs 12 may be readily constructed by those skilled in the art via
well-known MicroElectroMechanical Systems (MEMS) processes.
[0055] The connecting structures 14' enable horizontal shear deformation
but limit vertical strain deformation beyond that which occurs in
response to horizontal shear deformation. Hence, when the connecting
structures 14' are oriented vertically and the springs 12 are maximally
compressed, further vertical expansion is inhibited. Furthermore, no
vertical strain deformation due to skin contraction is enabled without
corresponding shear deformation or horizontal strain deformation.
[0056] The pivoting connecting structures 14' may be replaced with various
other types of connecting structures without departing from the scope of
the present invention. For example, rather than including pivot
connectors at each end of the connecting structures 14', the connecting
structures 14' may be rigidly connected to the springs 12 at each end
with pivot connectors in the middles of the connecting structures 14'.
[0057] The skin 10', with the accompanying elastomeric coating 20, is a
highly flexible super-elastic skin that can undergo several-fold
stretching and shear (angular) deformation repeatedly with insignificant
non-recoverable permanent deformation. The memory material comprising the
springs 12 facilitates several-fold stretching and shear deformation in
response to austenite to martensite phase transformation. Various
application-specific skin parameters, such as spring dimensions and skin
thickness, are chosen so that skin 10' does not exceed maximum allowable
strain.
[0058] In the present specific embodiment, the skin 10' is a super-elastic
skin that can exhibit large in-plane elastic deformation when subjected
to small in-plane forces, which is partly due to the austenite to
martensite phase transformation of nickel titanium. The recoverable
strains can exceed eight percent. Nickel titanium is austenite in phase
throughout the operating temperature range when not subjected to loading
that causes phase change. Those skilled in the art will appreciate that
various materials other than nickel titanium may be employed without
departing from the scope of the present invention.
[0059] FIG. 5 is a diagram of an alternative embodiment 30 of the flexible
skin of FIG. 1. The alternative flexible skin 30 lacks springs but
includes vertical nickel titanium rods or connecting beams 32 that are
pivotally connected in parallel between a top horizontal beam 34 and a
bottom horizontal beam 36. The vertical connecting beams 32 are pivotally
connected to the horizontal beams 34, 36 via flexible connectors 50, as
discussed more fully below. Alternatively, the vertical connecting beams
32 may be pivotally connected to the horizontal beams 34, 36 via other
pivoting connectors, such as MEMS pivot connectors similar to the
connecting beams 14' of FIG. 4.
[0060] The vertical connecting beams 32 and accompanying horizontal beams
34, 36 are covered with the elastomeric polymer 20 coating, which may
include one or more layers. In the present embodiment, the elastomeric
polymer coating 20 is made from rubber, however other materials may be
employed without departing from the scope of the present invention.
[0061] FIG. 6 is a diagram of the flexible skin of FIG. 5 exhibiting shear
deformation. With reference to FIGS. 5 and 6, in operation, horizontal
shearing forces 40 applied to the skin 30 cause the skin 30 to exhibit
shear deformation as shown in FIG. 6. When the skin 30 exhibits shear
deformation, the height of the skin shrinks from h.sub.1 (see FIG. 5) to
h.sub.2 (see FIG. 6). The rigidity of the connecting beams 32 prevents
extension of the height of the skin 30 beyond h.sub.1. The maximum
reduction in height of the skin 30 in response to shear deformation is
partly a function of the spacing between the connecting beams 32. Larger
spaces between connecting beams 32 relative to the widths of the
connecting beams 32 enable more drastic shearing and corresponding
vertical compression. The elasticity of the skin 30 is provided via the
elastomeric coating 20.
[0062] Hence, the skin 30 behaves similarly to the skin 10' of FIG. 4 in
that both skins 10', 30 facilitate or enable horizontal shear
deformation, which results in a corresponding vertical strain deformation
(compression). Furthermore, both skins 10' 30 inhibit vertical strain
deformation beyond a certain height, which is h.sub.1, for the skin of
FIG. 5. Furthermore, both skins 10', 30 inhibit bending deformation
partially due to rigidity of the connecting beams 14', 32 of FIGS. 4 and
5, respectively.
[0063] The skin 30 of FIGS. 5 and 6 inhibits in-plane bending deformation,
such as deformation about the horizontal skin axis 16. The skin 30 also
inhibits bending deformation about any axis, such as the horizontal axis
16, contained within the plane of the skin 30. For example, the rigid
connecting beams 34, 36 prevent bending deformation about an axis (not
shown) perpendicular to the horizontal axis 16 and prevent bending
deformation about an axis parallel to the horizontal axis 16. For the
purposes of the present discussion, the term the plane of the skin 30 is
used synonymously with the space, including skin area and volume,
occupied by the skin 30 itself.
[0064] Unlike the skin 10' of FIG. 4, the skins of FIGS. 5 and 6 inhibit
horizontal strain deformation. Alternatively, the skin 30 may enable
horizontal deformation in applications wherein the rigid horizontal beams
34, 36 are omitted or replaced with elastomeric beams that can stretch
horizontally.
[0065] Plural skin sections 30 may be stacked upon each other, cascaded,
or arranged in other patterns to achieve overall desired skin-structure,
shapes, and performance characteristics. For example, the top horizontal
beam 34 may act as the bottom horizontal beam for another skin section
(not shown).
[0066] Geometric patterns formed by the springs 12 of FIGS. 1-4 or the
beams 32-36 of FIGS. 5 and 6 may adjusted to meet the needs of a given
application. The exact skin pattern is application specific and depends
on shape-change and loading requirements of a particular application.
Energy required to produce several-fold deformation is often minimized in
patterns that undergo only rigid body motion.
[0067] Skin bending stiffness, i.e., in-plane rigidity may be adjusted by
selectively varying the thickness of the reinforcement pattern, such as
the springs 12 of FIGS. 1-4. When thickness is limited by manufacturing
restrictions, skin layering may be employed to achieve the desired
bending stiffness.
[0068] FIG. 7 is a magnified view illustrating the flexible connectors 50
between connecting beams and the bottom horizontal beam 38 of the
flexible skin 30 of FIG. 6 in bent, i.e. pivoted or rotated
configurations. In the present specific embodiment, the flexible
connectors 50 are implemented via constrictions in the vertical
connecting beams 50. The connecting beams 32 are glued to the rigid
horizontal connecting beams 34, 36 via a desired adhesive at bases of the
flexible connectors 50. Alternatively, the connecting beams 32 and the
flexible connectors 50 are integral with the horizontal connecting beams
34, 36.
[0069] The constrictions that comprise the flexible connectors 50 are
sufficiently narrower than the vertical connecting beams 32 to facilitate
pivoting or bending. With reference to FIGS. 5, 6, and 7, the bending of
the thinner flexible connectors 50 enable in-plane rotation or pivoting,
thereby enabling angular changes between the connecting beams 32 and the
rigid horizontal connecting beams 34, 36.
[0070] Alternatively, the flexible connectors 50 may be constructed from a
different, more flexible material than the vertical connecting beams 32.
This case would not require that the flexible connectors 50 be narrower
than their corresponding connecting beams 32.
[0071] In the magnified view of the skin 30 of FIG. 7, various attachment
holes 68 are shown at the ends of the horizontal connecting beams 34, 36.
These attachment holes 68 facilitate attaching the skin 30 to a desired
substrate, such as a transformable wing frame.
[0072] FIG. 8 is a diagram of a third alternative embodiment 60 of the
flexible skin 10 of FIG. 1 having unique elastically hinged junctions 52
for tailoring horizontal and vertical strain deformation characteristics.
The alternative flexible skin 60 include horizontal zigzag beams 54
comprising linked angled legs 62, which are linked at the unique
junctions 52. The zigzag beams 54 may be viewed as juxtaposed
V-formations having a series of vertices that are connected to opposing
vertices of adjacent zigzag beams 54 via relatively rigid vertical legs
56. The vertical legs 56 are pivotally connected to the vertices of the
zigzag beams 54 at the unique junctions 52.
[0073] FIG. 9 is a more detailed diagram illustrating one of the unique
junctions of FIG. 8. With reference to FIGS. 8 and 9, in the present
specific embodiment, the angled legs 62 and the interconnecting vertical
legs 56 are sufficiently rigid to provide in-plane rigidity suitable for
a given application. The vertical legs 56 are pivotally connected at the
unique junctions 52 via vertical-leg constricted sections 58. Similarly,
the angled legs 62 are pivotally connected at the unique junctions 52 via
angled-leg constricted sections 64. The various constricted sections 64,
58 are sufficiently thick to provide in-plane rigidity and sufficiently
narrow to enable pivoting of the vertical legs 56 to meet the needs of a
given application.
[0074] Those skilled in the art may tailor the dimensions of the
constricted sections 64, 58 to provide a desired resistance to pivoting,
thereby tailoring the degree to which the skin 60 resists shearing stress
and associated shear deformation. Furthermore, the dimensions of the
contoured shapes of the constricted sections 64 of the unique junctions
52 may be tailored to provide a desired ratio between horizontal strain
and vertical strain.
[0075] For example, as the angled-leg sections 62 move outward in response
to horizontal strain, the junctions 52 push on the vertical legs 56,
thereby causing vertical displacement, i.e., strain in the vertical
direction. However, by adjusting the shape of the junctions 52, the
amount of vertical displacement of the legs 56, and therefore, the amount
of vertical strain resulting for a given horizontal strain may be
adjusted accordingly. For example, by making bottom inverted-U formations
66 formed at the junction between angled legs 62 and the vertical legs 56
taller or shorter, the amount of vertical displacement of the vertical
legs 56 in response to pivoting of the angled-legs 62 may decrease or
increase, respectively. Hence, the vertical strain experienced in
response to a given horizontal strain may be adjusted accordingly, such
as by adjusting the aspect ratio of the inverted-U formations 66, to
achieve a desired ratio or relationship between strain deformation in
perpendicular planar directions. One skilled in the art with access to
the present teachings may tailor the relative deformation of the flexible
skin 60 in perpendicular planar directions to meet the needs of a given
application without undue experimentation.
[0076] The load-bearing capacity of the flexible skin 60 may be further
increased by layering the flexible skin 60 with various elastomeric
polymer layers. The numbers of reinforcement layers depend on the
required bending stiffness.
[0077] FIG. 10 is a diagram of the flexible skin 60 of FIG. 8 in a
partially extended position. The flexible skin 60 of FIG. 10 is stretched
to approximately twice the horizontal length of the corresponding
flexible skin 60 of FIG. 8. The skin 60 of FIG. 8 is vertically stretched
approximately 1.25 times the height of the flexible skin 60 of FIG. 8.
Hence, the relationship between the horizontal and vertical strain
exhibited by the skin 60 is not 1-to-1 in the present embodiment. However
this relationship may be readily tailored by adjusting the dimensions and
shapes of the unique junctions 52. The relationship between the vertical
strain and horizontal strain exhibited by the skin 60 may be linear or
nonlinear functions depending on the exact geometry of the junctions 52.
[0078] FIG. 11 is a diagram of an exemplary morphing airfoil 70 employing
the flexible skin 10 of FIG. 1. The airfoil 70 includes the flexible skin
10, which is coated with the elastomeric material 20. In the present
embodiment, the airfoil 70 includes various adjustable spars 80, 82, 84,
including a leading spar 80, a trailing spar 82, and a wingtip spar 84.
Various adjustable ribs 86, 88, 90, including a first rib 86, a second
rib 88, and a third rib 90 are pivotally interconnected to the spars 80,
82, 84. The adjustable ribs 86, 88, 90, and spars 80, 82, 84 form an
adjustable frame that is sandwiched by the flexible skin 10, which is
reinforced with crisscrossed stiffening rods 76 that provide further
in-plane rigidity.
[0079] The adjustable ribs 86, 88, 90, and spars 80, 82, 84 are
interconnected so that expansion or contraction of the base chord of the
airfoil 70 automatically sweeps a leading edge 34 backward or forward.
The rigid stiffening rods 76, which may be implemented via substantially
flat beams, may pivot relative to each other to facilitate shear
deformation. This pivoting functionality may be enabled via pivot
connectors (not shown) between the crisscrossed stiffening rods 76.
Alternatively, the crisscrossed stiffening rods 76 are not interconnected
by pivot connectors, but instead, are held in place via an elastomeric
polymer 20 disposed over the rods 76.
[0080] Deformation-control structures 26, which include partially
flattened (elliptical) bellows structures 26, permit airfoil frame
morphing but resist airfoil twisting. Various actuators 78 interconnect
the ribs 86, 88, 90 and spars 80, 82, 84 and facilitate airfoil morphing,
such as sweep-angle, area, wing span, and base chord length adjustments.
[0081] In the present embodiment, the flexible skin 10 is chosen to
accommodate shear deformation and resist or partially resist biaxial or
twisting deformation. The shear deformation of the airfoil 14 may
minimize energy required to flex the skin 10, thereby reducing requisite
sizes, strengths, and associated costs of the actuators 78.
[0082] The actuators 78 are chosen so that if they fail, they may
telescope relatively free of resistance. Accordingly, if one of the
actuators 78 fail, the airfoil 70 will not be frozen or locked in to
position. Such actuators are well known and commercially available.
[0083] In the present specific embodiment, the skin 10' requires minimal
energy to implement large skin strain and/or shear deformation. The
thickness of the skin 10 is selectively adjusted across the surface are
of the airfoil 70 to provide desired properties in certain areas of the
airfoil. For example, regions of the airfoil 70 requiring enhanced
rigidity, such as near the center of pressure (not shown) of the airfoil
70, may be fitted with thicker transformable skin 10 or multiple layers
of transformable skin 10.
[0084] Thus, the present invention has been described herein with
reference to a particular embodiment for a particular application. Those
having ordinary skill in the art and access to the present teachings will
recognize additional modifications, applications, and embodiments within
the scope thereof.
[0085] It is therefore intended by the appended claims to cover any and
all such applications, modifications and embodiments within the scope of
the present invention.
[0086] Accordingly,
* * * * *