Fiber reinforced elastomeric sheets with tunable strain relationships
11001681 · 2021-05-11
Assignee
Inventors
Cpc classification
B32B2535/00
PERFORMING OPERATIONS; TRANSPORTING
B32B2307/20
PERFORMING OPERATIONS; TRANSPORTING
B32B5/22
PERFORMING OPERATIONS; TRANSPORTING
B32B2307/54
PERFORMING OPERATIONS; TRANSPORTING
B32B2262/062
PERFORMING OPERATIONS; TRANSPORTING
B32B5/26
PERFORMING OPERATIONS; TRANSPORTING
C08J5/04
CHEMISTRY; METALLURGY
B32B2260/021
PERFORMING OPERATIONS; TRANSPORTING
B32B2307/546
PERFORMING OPERATIONS; TRANSPORTING
B32B5/12
PERFORMING OPERATIONS; TRANSPORTING
B32B2250/40
PERFORMING OPERATIONS; TRANSPORTING
B29L2031/7532
PERFORMING OPERATIONS; TRANSPORTING
International classification
C08J5/04
CHEMISTRY; METALLURGY
Abstract
A soft structure fiber reinforcement technology is provided. In an example embodiment, the fiber reinforced elastomeric sheet comprises a sheet of elastomeric matrix; and a fiber array comprising a plurality of fibers embedded within the elastomeric matrix. Each fiber of the array of fibers has a tensile modulus that is significantly greater than the tensile modulus of the elastomeric matrix. The fiber reinforced elastomeric sheets may be used in grasping or gripping robots, walking or jumping robots, artificial muscles, compliant prosthetics, impact and/or vibration dampening soft structures, passive soft structure configured to passively restrict deformation in an unwanted direction while allowing deformation in another direction, and/or the like.
Claims
1. A fiber reinforced elastomeric sheet comprising: a sheet of elastomeric matrix; and a fiber array comprising a plurality of fibers embedded within the elastomeric matrix, the fiber array being a two-dimensional lattice of fibers embedded within the elastomeric matrix, wherein: the sheet of elastomeric matrix defines a sheet plane, the two-dimensional lattice is defined by a diamond-shaped smallest basic element, wherein the diamond-shaped smallest basic element is comprised of four sides and each of the four sides is formed by a different fiber, such that the two-dimensional lattice consists of a plurality of at least partial smallest basic elements, the basic element defines a preferred direction of the two-dimensional lattice such that responsive to experiencing a compressive force in a direction normal to the sheet plane, the fiber reinforced elastomeric sheet is configured to elongate in the preferred direction, and each fiber of the array of fibers has a tensile modulus that is significantly greater than the tensile modulus of the elastomeric matrix.
2. The fiber reinforced elastomeric sheet of claim 1, wherein the tensile modulus of a fiber of the fiber array is at least one order of magnitude greater than the tensile modulus of the elastomeric matrix.
3. The fiber reinforced elastomeric sheet of claim 1, wherein the smallest basic element of the two-dimensional lattice is diamond shaped with a uniform fiber angle.
4. The fiber reinforced elastomeric sheet of claim 1, wherein the preferred direction being transverse to a direction parallel to one or more fibers of the fiber array.
5. The fiber reinforced elastomeric sheet of claim 4, wherein the fiber array lies in and/or parallel to the sheet plane and the preferred direction is in the sheet plane.
6. The fiber reinforced elastomeric sheet of claim 5, wherein, in response to experiencing a compressive force in a direction normal to the sheet plane, the fiber reinforced elastomeric sheet experiences a negative and/or negligible strain in an orthogonal direction.
7. The fiber reinforced elastomeric sheet of claim 6, wherein the orthogonal direction is within the sheet plane and perpendicular to the preferred direction.
8. The fiber reinforced elastomeric sheet of claim 1, wherein the fiber array is defined by a uniform fiber angle.
9. The fiber reinforced elastomeric sheet of claim 8, wherein the fiber angle is between 15 and 25 degrees.
10. The fiber reinforced elastomeric sheet of claim 8, wherein the fiber angle is between 15 and 68 degrees.
11. The fiber reinforced elastomeric sheet of claim 1, wherein the fiber array is defined by a fiber angle and the fiber angle is consistent with an optimal fiber angle determined based at least in part on a desired elongation of the fiber reinforced elastomeric sheet for an intended application for the fiber reinforced elastomeric sheet when the fiber reinforced elastomeric sheet is experiencing the compressive force.
12. The fiber reinforced elastomeric sheet of claim 1, wherein the sheet of elastomeric matrix is configured to be compressed by a capacitive force.
13. The fiber reinforced elastomeric sheet of claim 1, wherein the fiber reinforced elastomeric sheet is at least in part sandwiched between flexible conducting plates.
14. The fiber reinforced elastomeric sheet of claim 13, wherein a compressive force is experienced by the fiber reinforced elastomeric sheet when the conducting plates are charged.
15. The fiber reinforced elastomeric sheet of claim 1, wherein the elastomeric sheet is incorporated into an artificial muscle or a portion of an artificial muscle.
16. The fiber reinforced elastomeric sheet of claim 1, wherein the elastomeric sheet is incorporated into a compliant prosthetic or a portion of a compliant prosthetic.
17. The fiber reinforced elastomeric sheet of claim 1, wherein the elastomeric sheet is incorporated into a passive soft structure configured to passively restrict deformation in an unwanted direction while allowing deformation in another direction.
18. The fiber reinforced elastomeric sheet of claim 1, wherein the elastomeric sheet is incorporated into an impact dampening and/or vibration dampening soft structure.
19. The fiber reinforced elastomeric sheet of claim 18, wherein an initial fiber angle of the fiber reinforced elastomeric sheet is tuned with respect to a range of allowable strain and/or a vibration low pass cutoff frequency.
20. The fiber reinforced elastomeric sheet of claim 1, wherein the elastomeric sheet is incorporated into a walking or jumping robot.
21. A grasping robot comprising: one or more fiber reinforced elastomeric sheets, each of the one or more fiber reinforced elastomeric sheets comprising: a sheet of elastomeric matrix, and a fiber array comprising a plurality of fibers embedded within the elastomeric matrix, the fiber array being a two-dimensional lattice of fibers embedded within the elastomeric matrix, wherein: the sheet of elastomeric matrix defines a sheet plane, the two-dimensional lattice is defined by a diamond-shaped smallest basic element such that the two-dimensional lattice consists of a plurality of at least partial smallest basic elements, the diamond-shaped smallest basic element being comprised of four sides, each of the four sides being formed by a different fiber, the basic element defines a preferred direction of the two-dimensional lattice such that responsive to experiencing a compressive force in a direction normal to the sheet plane, the fiber reinforced elastomeric sheet is configured to elongate in the preferred direction, and each fiber of the array of fibers has a tensile modulus that is significantly greater than the tensile modulus of the elastomeric matrix; and a grasping component.
22. The grasping robot of claim 21, wherein the grasping robot is configured to perform tasks requiring large tactile sensitivity using the grasping component.
23. The grasping robot of claim 21, wherein the grasping robot is configured to grasp and/or package delicate objects using the grasping component.
24. The grasping robot of claim 21, wherein deformation of at least one of the one or more fiber reinforced elastomeric sheets controls a position of the grasping component.
Description
BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWING(S)
(1) Having thus described the invention in general terms, reference will now be made to the accompanying drawings, which are not necessarily drawn to scale, and wherein:
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DETAILED DESCRIPTION OF SOME EXEMPLARY EMBODIMENTS
(12) The present invention now will be described more fully hereinafter with reference to the accompanying drawings, in which some, but not all embodiments of the invention are shown. Indeed, the invention may be embodied in many different forms and should not be construed as limited to the embodiments set forth herein; rather, these embodiments are provided so that this disclosure will satisfy applicable legal requirements. Like numbers refer to like elements throughout.
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(14) In example embodiments, the elastomeric sheet 1 may generally define a sheet plane. Generally the thickness of the elastomeric sheet is small. For example, the thickness of the elastomeric sheet 1 may be significantly smaller than the width or length of the elastomeric sheet 1. In an example embodiment, the elastomeric sheet 1 may be generally planer and the width and the length of the elastomeric sheet 1 may define the sheet plane. In another example embodiment, the elastomeric sheet 1 may be generally cylindrical or curved and the sheet plane may be locally defined as the plane tangent to the local curvature of the elastomeric sheet 1. For easy reference, the sheet plane defined by the width and length of the elastomeric sheet 1 will be referred to as the xy plane herein and the thickness, which is generally perpendicular and/or normal to the sheet plane, will be referred to as the z axis herein. In an example embodiment, the thickness of the elastomeric sheet 1 may be approximately one-tenth or less of the width and/or the length of the elastomeric sheet. In an example embodiment, the thickness of the elastomeric sheet 1 may be approximately 0.25 inches. Example embodiments may consist of one or more fiber reinforced elastomeric sheets representing laminates or layers of a larger composite structure.
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(17) In an example embodiment, the fibers 10 have a high tensile strength and a low and/or negligable bending rigidity. For example, each fiber 10 defines a fiber axis. The fiber 10 is rigid along the corresponding fiber axis but bends freely in directions tangent to the fiber axis. In an example embodiment, the tensile modulus of the fibers 10 may be significantly larger than the tensile modulus of the eleastomeric matrix of the elastomeric sheet 1. For example, the tensile modulus of the fibers 10 may be at least one order of magnitude larger than the tensile modulus of the eleastomeric matrix of the elastomeric sheet 1. In example embodiments, the tensile modulus of the fibers 10 may be at least three or six orders of magnitude larger than the tensile modulus of the eleastomeric matrix of the elastomeric sheet 1.
(18) In an example embodiment, as shown in
(19) Example embodiments allow for the expansion of the elastomeric sheet 1 to be controlled such that, when compressed, fiber reinforced elastomeric sheet 100 does not expand evenly, symmetrically, and/or the like in both the x and y directions. Rather, in an example embodiment, a preferred direction of expansion is prescribed. In an example embodiment, the preferred direction may be defined by the fiber array comprising the plurality of the fibers 10. In the example embodiments, shown in
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for an elastomer in which volume is conserved, where ε.sub.zz is the strain experienced by the fiber reinforced elastomeric sheet 100 in the compressed state 105 in the direction perpendicular and/or normal to the sheet plane (e.g., in the z direction). Additionally, the strain of the fiber reinforced elastomeric sheet 100 in a compressed state 105 in the preferred (e.g., x) direction ε′.sub.xx is increased, compared to strain in the x direction ε.sub.xx of the non-reinforced elastomeric sheet 1, and the strain on the fiber reinforced elastomeric sheet 100 in a compressed state 105 in the counter (e.g., y) direction ε′.sub.yy is negative if the fiber angle is greater than zero. The strain in the y direction ε.sub.yy of the non-reinforced elastomeric sheet 1 is positive.
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(23) In another example embodiment, the reinforced elastomeric sheet can be used with a Poisson style soft actuator to provide tension/compression in one of the planar directions. For example, due to fiber reorientation during compression in the z-direction the length l.sub.3 of the basic element 110 decreases, resulting in a negative strain ε.sub.yy. This example embodiment cannot be realized by Poisson style actuators without organized reinforcement (e.g., unreinforced sheet 1). For example, compression of the unreinforced sheet 1, results in expansion in both planar directions. Therefore, compression of an elastomeric sheet will only result in compression in one of the planar directions through selective fiber reinforcement. In this example embodiment, if the soft actuator is desired to create planar expansion, the preferred direction is parallel to l.sub.4 in the basic element 110 (e.g. x), and if the soft actuator is desired to create planar compression, the desired direction is parallel to l3 (e.g. y),
(24) As noted above, the compressed fiber angle θ.sub.f is dependent on the initial fiber angle θ.sub.0 and the strain supplied in the z direction ε.sub.zz. In an example embodiment, the fiber angle has a critical angle of θ.sub.crit=π/2 or 90°. In particular, in an example embodiment, compressing the fiber reinforced elastomeric sheet 100 such that θ.sub.f≥θ.sub.crit may lead to stretching of the fibers, separation between the elastomeric sheet 1 and the embedded fibers 10 of the fiber array, and/or the like. Thus, in the example embodiment, the choice of the initial, uncompressed fiber angle θ.sub.0 governs the range of compressive forces that can be applied to the fiber reinforced elastomeric sheet 100. In an example embodiment, after the critical fiber angle has been reached the stress/strain properties in the sheet plane directions become symmetric, and the sheet can be treated as a standard composite.
(25) In example embodiments, as a desired expansion and/or elongation of the fiber reinforced elastomeric sheet 100 in the compressed state 105, in the preferred direction can be realized with less compression ε.sub.zz, the energy required to operate an actuator made of the fiber reinforced elastomeric sheet 100 can be significantly smaller than a non-reinforced elastomeric sheet 1. When the initial, uncompressed fiber angle θ.sub.0 is smaller, a greater compressive force may be applied to the fiber reinforced elastomeric sheet before the critical angle is reached. However, for a fiber array having a smaller initial fiber angle θ.sub.0, the negative strain in the orthogonal direction experienced during compression is smaller and therefore provides less benefit. If the initial fiber angle θ.sub.0 is larger, the negative strain in the orthogonal direction experienced during compression is significant, despite the reduced range of allowable compression before the compressed fiber angle θ.sub.f reaches the critical angle θ.sub.crit. For a given desired elongation of the sheet, increasing fiber angle reduces the necessary compression, but at the cost of increased sheet stiffness, as more tension (elastic potential energy) is stored in the fibers in order to create the asymmetric deformation. Each desired expansion has an optimal fiber angle that balances these competing effects and minimizes the required energy for deformation. Thus, the initial fiber angle θ.sub.0 may be selected based on the desired expansion and/or elongation of the compressed fiber reinforced elastomeric sheet 105. In particular, the optimal initial fiber angle θ.sub.0 decreases as the desired expansion and/or elongation in the preferred direction increases. Moreover, the optimal initial fiber angle θ.sub.0 increases as the ratio between the fiber tensile modulus and the elastomeric sheet matrix elastic modulus increases, such that less potential energy is stored in the fibers 10. In an example embodiment, the optimal initial fiber angle θ.sub.0 is between 30° and 60° depending on the desired expansion and/or elongation of the compressed fiber reinforced elastomeric sheet 105. If the tensile modulus of the fiber is significantly greater than the tensile modulus of the elastomeric sheet matrix (e.g., the tensile modulus of the fiber is effectively infinite compared to the tensile modulus of the elastomeric sheet matrix), the optimal initial fiber angle θ.sub.0 may be as high as 68° for one application.
(26) In another embodiment, where the fiber reinforced elastomeric sheet is used as a passive shape restoring mechanism, optimal fiber angle θ.sub.0 should be tuned, instead, to maximize potential energy storage. In another embodiment, where stacks of fiber reinforced elastomeric sheets are used for impact damping or vibration damping, the optimal fiber angle θ.sub.0 can be tuned with respect to the range of allowable strain and/or the vibration low pass cutoff frequency.
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(28) In an example embodiment, a compression force may be applied to a fiber reinforced elastomeric sheet 100 by using plates (e.g., plates 210) to physically compress the reinforced elastomeric sheet. In an example embodiment, the compressive force may be applied using electrostatic and/or electromagnetic forces. For example, the matrix of the elastomeric sheet may have an electrostatic or magnetic field dipole. The fiber reinforced elastomeric sheet 100, or a portion thereof, may be sandwiched between flexible conducting plates. The flexible conducting plates may be charged, creating a capacitive force there-between which compresses the sandwiched fiber reinforced elastomeric sheet 100. In another example embodiment, tension may be applied in the x or y directions to create significant non-linear contraction in the opposing direction. In another embodiment, the compressive force on the fiber reinforced elastomeric sheet 100 may be applied via hydrostatic pressure in pockets disposed adjacent the fiber reinforced elastomeric sheet 100 that filled with compressed air or another fluid. Other techniques of applying a compressive force may be utilized in various embodiments, as appropriate for the application.
(29) The ability to control strain properties of a deformable material is advantageous in providing structural support for a number of soft systems. In example embodiments, one or more fiber reinforced elastomeric sheets 100 may be used in soft robotics such as artificial muscles configured for replacing damaged muscle tissue. In another example, one or more fiber reinforced elastomeric sheets 100 may be used in soft robotics such as compliant prosthetics. In an example embodiment, one or more fiber reinforced elastomeric sheets 100 may be used for various applications in walking and jumping robots. In an example embodiment, a walking or jumping robot may be a robot configured to move using a walking-like and/or jumping-like motion. For example, one or more fiber reinforced elastomeric sheets 100 may be used for one or more applications for robots that are configured to traverse difficult terrains. In another example embodiment, as shown in
(30) Many modifications and other embodiments of the invention set forth herein will come to mind to one skilled in the art to which the invention pertains having the benefit of the teachings presented in the foregoing descriptions and the associated drawings. Therefore, it is to be understood that the invention is not to be limited to the specific embodiments disclosed and that modifications and other embodiments are intended to be included within the scope of the appended claims. Although specific terms are employed herein, they are used in a generic and descriptive sense only and not for purposes of limitation.