Embodiments of the disclosure relate to robotic fingers and hands.
Robots and robotic assistants configured to replace and/or assist humans are proliferating and engage in an ever expanding variety of applications from relatively simple pick and place tasks, serving coffee in paper cups, to carrying out surgeries on the human body. Almost invariably the tasks involve gripping, moving, and often using different types of objects that the human hand under control of hand-eye coordination and haptic feedback carries out gracefully with seemingly little effort.
Providing robotic fingers and hands with a semblance of the natural abilities of the human hand is a challenging task of intricate complexity.
An aspect of an embodiment of the disclosure relates to providing an artificial or robotic finger for touching and holding an object and applying force substantially parallel to a contact surface region of the object to manipulate the object with relatively high spatial accuracy.
In an embodiment, the artificial finger, hereinafter also referred to as an “Accu-Finger”, comprises a distal phalange housing a vibrator coupled to a contact pad configured to make frictional contact with the surface contact region at an extreme end of the phalange. The vibrator is excitable to generate vibratory motion along a vibration axis that is optionally fixed relative to the structure of the vibrator and is substantially perpendicular to an axis of the vibrator. In an embodiment the vibrator comprises an eccentric rotating mass (ERM) motor and the vibration axis is substantially parallel to a plane of rotation of the eccentric mass and passes through a center of rotation of the eccentric mass. During a first half, also referred to as a first phase, of each cycle of the vibratory motion the vibrator or a portion thereof moves in a first direction along the vibration axis. During a second half, also referred to as a second phase of the cycle, the vibrator or portion thereof moves in an opposite direction along the vibration axis. The excited vibrations of the vibrator induce corresponding vibrations of the contact pad substantially along the same vibration axis along which the vibrator vibrates.
When the contact pad is pressed to the contact surface region of the object and the vibrator excited to vibrate, during the first phase of each vibration cycle frictional force between the contact pad and the surface region substantially sticks and holds the contact pad to the contact surface region and the contact pad applies force to the contact surface region that operates to accelerate and/or move the object in the first direction along the vibration axis. During the second phase of the vibration cycle, frictional force between the contact pad and the surface region decreases, the contact pad slips along the contact surface, and force applied to the contact surface region is less than during the first phase of the vibration cycle. As a result, the vibration cycle operates to generate a net translation of the contact surface region of the object in the first direction along the vibration axis. For convenience of presentation, the first phase of the vibratory motion of the contact pad in which the contact pad sticks to the contact surface of the object may be referred as a sticking phase. The second phase may be referred to as a slipping phase.
In an embodiment, the vibrator is connected to a transmission system operable to rotate the vibrator and thereby the vibration axis along which the vibrator and contact pad execute vibratory motion, to a desired azimuth angle about the vibrator axis. The transmission system may comprise a shaft connected to the vibrator and to a transmission motor and has a transmission axis that is optionally substantially coincident with the vibrator axis. The transmission motor is controllable to rotate the shaft to a desired azimuth angle about the vibrator axis and thereby to orient the vibrator and axis of vibration in an azimuthal direction along which it is desired to have the contact pad apply force to and move the object. In an embodiment, the distal phalange is coupled to a medial phalange that houses the transmission motor.
In an embodiment, at least one Accu-Finger is coupled to an opposing finger to form a gripper, also referred to as an Accu-Gripper, operable to grip an object between the Accu-Finger and the opposing finger and control the at least one Accu-finger to manipulate the gripped object. Optionally, the opposing finger is an Accu-Finger.
In an embodiment, a plurality of Accu-Fingers are coupled to an opposable thumb to provide a robotic hand, also referred to as an Accu-Hand, that mimics human hand motion to grasp and manipulate an object. Optionally, the opposable thumb is an Accu-Finger.
This Summary is provided to introduce a selection of concepts in a simplified form that are further described below in the Detailed Description. This Summary is not intended to identify key features or essential features of the claimed subject matter, nor is it intended to be used to limit the scope of the claimed subject matter.
Non-limiting examples of embodiments of the disclosure are described below with reference to figures attached hereto that are listed following this paragraph. Identical features that appear in more than one figure may be labeled with a same label in multiple figures in which they appear. A label labeling an icon representing a given feature of an embodiment of the disclosure in a figure may be used to reference the given feature. Dimensions of features shown in the figures are chosen for convenience and clarity of presentation and are not necessarily shown to scale.
In the discussion, unless otherwise stated, adjectives such as “substantially” and “about” modifying a condition or relationship characteristic of a feature or features of an embodiment of the disclosure, are understood to mean that the condition or characteristic is defined to within tolerances that are acceptable for operation of the embodiment for an application for which it is intended. Wherever a general term in the disclosure is illustrated by reference to an example instance or a list of example instances, the instance or instances referred to, are by way of non-limiting example instances of the general term, and the general term is not intended to be limited to the specific example instance or instances referred to. Unless otherwise indicated, the word “or” in the description and claims is considered to be the inclusive “or” rather than the exclusive or, and indicates at least one of, or any combination of more than one of items it conjoins.
Accu-Finger 102, for example, includes three sections, a proximal phalange (phalanx) 110, in communication with an intermediate phalange 112, in communication with a distal phalange 114. These three phalange sections 110, 112, 114, may mimic the phalanges which form human fingers.
Distal phalange 114 includes a protrusion 116, which terminates at a contact pad 118. Contact pad 118 is configured to make frictional contact with articles, for example, with a surface contact region 106a of disk 106. Accu-finger 102, is operable to generate vibrations in contact pad 118 that apply force to disk 106, parallel to surface 106a of the disk to displace the disk optionally in a direction indicated by a shaded region of an axis of vibration indicated by a double headed arrow 107.
The shaded region points in a direction in which contact pad 118 moves during the sticking phase of the vibratory motion of contact pad 118. The unshaded region points in a direction in which the contact pad moves during the slipping phase of the vibratory motion. During the sticking phase, motion of contact pad 118 operates to displace disk 106 in the direction of shaded region of vibration axis 107. During the slipping phase of the vibratory motion contact pad 118 applies a smaller normal force to disk 106 than during the sticking phase and slips along the surface of the disk. As a result, the vibratory motion generally moves disk 106 in the direction of the shaded portion of the vibration axis. The control of the direction along the vibration axis 107 towards the shaded region is further elaborated below.
In an embodiment, proximal phalange 110 is rotatably mounted to a member 108a extending from palm 108 and to intermediate phalange 112. Intermediate phalange 112 connects to distal phalange 114. Intermediate phalange 112 is rotatably connected to an arm 120, at one end thereof. The other end of arm 120 is rotatably connected to the palm.
Opposable finger 104, for example, is optionally similar to Accu-Finger 102 and includes three sections, a proximal phalange 130, in communication with an intermediate phalange 132, which in turn communicates with a distal phalange 134. The distal phalange includes a protrusion 136, which terminates in a contact pad 138. Contact pad 138 is configured to make contact with an object, for example, disk 106, at a location opposite to that of a location at which contact pad 118 contacts the object when Accu-Finger 102 and opposable finger 104 are moved toward each other to grip the object.
For example, for opposable finger 104, proximal phalange 130 is rotatably mounted to member 108b extending from palm 108 and to intermediate phalange 132. Intermediate phalange 132 connects to distal phalange 134 and is rotatably connected to an arm 140 at one end thereof. The other end of arm 140 is rotatably connected to the palm. The linkages, actuators and/or motors of the palm may move member 108b and arm 140, allowing for inward and outward movement of opposable finger 104. The linkages, actuators and/or motors controllable to move Accu-finger 102 and opposable finger 104 may operate independently of each other, or in a cooperative manner.
Transmission system 200 includes a motor 210, coupled to a to rotate first bevel gear 212, which intermeshes with a second bevel gear 214. First and second bevel gears 214, 216 intermesh to transfer rotational motion from first bevel gear 212 to second bevel gear 214. Second bevel gear 214 couples to shaft 204, which in turn, is coupled to vibrator 202. Motor 210 is controllable to rotate first bevel gear 212 and thereby second bevel gear 214 and vibrator 202 about axis 205 selectively clockwise or counterclockwise.
Motor 210, may for example, be a standard motor, which drives bevel gear 212. Teeth 212a of the motor driven bevel gear 212, engage and intermesh with a corresponding teeth 214a of bevel gear 214, allowing for the transfer of rotational motion from motor driven bevel gear 212 to bevel gear 214. Bevel gear 214 attaches to a collar 215. The collar seats in a rotatable manner in a bearing 224. Shaft 204 is attached to collar 215, and extends through bevel gear 214, collar 215, and bearing 224. Shaft 204 is, may for example, have a D-shaped cross section, formed, for example of a rounded portion 204a and a flat 204b, as shown in
As also shown in
In an example operation of the Accu-Gripper 100, as shown, for example in
For example, when contact pad 118 of Accu-Finger 102, is pressed to contact surface region 106a of object 106, and vibrator 202 is excited to vibrate, during the first sticking phase of each vibration cycle, static frictional force between contact pad 118 and contact surface region 106a of object 106 sticks and locks contact pad 118 to contact surface region 106a. Contact pad 118 applies force to the contact surface region 106a, which operates to move and displace the disk in the forward direction indicated by shaded region of vibration axis 107. During the second phase of the vibration cycle, when motion of the contact pad is in the direction indicated by the unshaded region of vibration axis 107, frictional force between contact pad 118 and the surface region decreases, from static friction to sliding friction and contact pad 118 slips along the contact surface region 106a. As a result, whereas during slippage the contact pad may move disk 106 in the rearward direction indicated by the unshaded portion of vibration axis 107, displacement in the rearward direction is less than displacement in the forward direction. The slippage therefore results in a net displacement of disk 106 for the vibration cycle in the forward direction.
Attention is directed to
While Accu-Fingers 114 and 302 are shown and described as having three phalanges, an Accu-finger in accordance with an embodiment of the disclosure is not limited to having a plurality of three phalanges. An Accu-Finger may have any number of phalanges and/or mechanical structures for supporting and moving a distal phalange to contact and move an object as desired. The term Accu-Finger may be used to refer only to a distal phalange comprising a vibrator coupled to a contact pad at an extreme end of the phalange for frictionally contacting an object and having a portion of a transmission system for rotating the vibrator.
Vibrator 202 schematically shown in
In an embodiment, as schematically depicted in
Let an angle θ represent angular displacement of rotation axis R from the X-axis, where a counterclockwise angular displacement as seen from a positive z coordinate, is a positive displacement. In
Assume that when motor ERM 400 is not excited to rotate mass M and the y-axis is perpendicular to gravity, that is when the mass M does not contribute to force with which contact pads 118 and 138 clamp disc 106, the contact pads clamp disc 106 with a clamping force fC. Then, assuming that ŷ is normal to surface contact region 106a then motor M is excited to rotate mass M, contact pad 118 exerts a time dependent clamping force FC(t)ŷ in the ŷ direction which is normal to surface contact region 106a of disc 106 that may be given by an expression:
And ERM motor 400 exerts a time dependent accelerating force Fa(t){circumflex over (x)} in the {circumflex over (x)} direction, parallel to surface contact region 106a that may be given by an expression,
where Γ is a mapping function that accounts for the structural configurations of Accu-Fingers 102 and 104 and materials from which the Accu-Fingers are made in mapping force MLω2 cos ωt to Fa(t){circumflex over (x)}.
Fa(t){circumflex over (x)} defines a time dependent force vector FA(t) in coordinate system XYZ having components FA(t){circumflex over (X)} and FA(t){circumflex over (Z)} that Accu-Finger 114 applies to disc 106. The components may be written,
And if a center of mass, “com”, of mass disc 106 has a position at time t given by a position vector Pcom(t) with respect to coordinate system XYZ, force FA(t) exerts a time dependent torque τ(t) on disc 106 that may be give by an expression,
where x indicates the cross product.
During a sticking phase FA(t) and clamping force FC(t)ŷ are related by an expression,
where μs is a coefficient of static friction and equations 6) and 7) are forces that determine linear acceleration of the com of disc 106, and equation 8) is a torque that determines time rate of change in angular momentum of disc 106.
During a slipping phase FA(t) and clamping force FC(t)ŷ are related by an expression,
Components of forces FA(t) that determine acceleration of the com of disc 106 become
where μk is kinetic friction. Torque that determines time rate of change in angular momentum of disc 106 during the slipping phase becomes,
In the description and claims of the present application, each of the verbs, “comprise” “include” and “have”, and conjugates thereof, are used to indicate that the object or objects of the verb are not necessarily a complete listing of components, elements or parts of the subject or subjects of the verb.
Descriptions of embodiments of the disclosure in the present application are provided by way of example and are not intended to limit the scope of the disclosure. The described embodiments comprise different features, not all of which are required in all embodiments. Some embodiments utilize only some of the features or possible combinations of the features. Variations of embodiments of the disclosure that are described, and embodiments comprising different combinations of features noted in the described embodiments, will occur to persons of the art. The scope of the invention is limited only by the claims.
The present application claims the benefit under 35 U.S.C. 119(e) of U.S. Provisional Application 63/179,419 filed on Apr. 25, 2021, the disclosure of which is incorporated herein by reference.
Filing Document | Filing Date | Country | Kind |
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PCT/IL2022/050421 | 4/25/2022 | WO |
Number | Date | Country | |
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63179419 | Apr 2021 | US |