US20170023083A1 - Planar flexure members and actuators using them - Google Patents
Planar flexure members and actuators using them Download PDFInfo
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- US20170023083A1 US20170023083A1 US14/806,807 US201514806807A US2017023083A1 US 20170023083 A1 US20170023083 A1 US 20170023083A1 US 201514806807 A US201514806807 A US 201514806807A US 2017023083 A1 US2017023083 A1 US 2017023083A1
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- arms
- flexure member
- actuator
- central portion
- flexure
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Images
Classifications
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J19/00—Accessories fitted to manipulators, e.g. for monitoring, for viewing; Safety devices combined with or specially adapted for use in connection with manipulators
- B25J19/0004—Braking devices
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F1/00—Springs
- F16F1/02—Springs made of steel or other material having low internal friction; Wound, torsion, leaf, cup, ring or the like springs, the material of the spring not being relevant
- F16F1/025—Springs made of steel or other material having low internal friction; Wound, torsion, leaf, cup, ring or the like springs, the material of the spring not being relevant characterised by having a particular shape
- F16F1/027—Planar, e.g. in sheet form; leaf springs
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J17/00—Joints
- B25J17/02—Wrist joints
- B25J17/0208—Compliance devices
- B25J17/0225—Compliance devices with axial compliance, i.e. parallel to the longitudinal wrist axis
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B25—HAND TOOLS; PORTABLE POWER-DRIVEN TOOLS; MANIPULATORS
- B25J—MANIPULATORS; CHAMBERS PROVIDED WITH MANIPULATION DEVICES
- B25J9/00—Programme-controlled manipulators
- B25J9/0009—Constructional details, e.g. manipulator supports, bases
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16D—COUPLINGS FOR TRANSMITTING ROTATION; CLUTCHES; BRAKES
- F16D3/00—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive
- F16D3/02—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive adapted to specific functions
- F16D3/12—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive adapted to specific functions specially adapted for accumulation of energy to absorb shocks or vibration
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16D—COUPLINGS FOR TRANSMITTING ROTATION; CLUTCHES; BRAKES
- F16D3/00—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive
- F16D3/50—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive with the coupling parts connected by one or more intermediate members
- F16D3/60—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive with the coupling parts connected by one or more intermediate members comprising pushing or pulling links attached to both parts
- F16D3/62—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive with the coupling parts connected by one or more intermediate members comprising pushing or pulling links attached to both parts the links or their attachments being elastic
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16D—COUPLINGS FOR TRANSMITTING ROTATION; CLUTCHES; BRAKES
- F16D3/00—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive
- F16D3/50—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive with the coupling parts connected by one or more intermediate members
- F16D3/78—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive with the coupling parts connected by one or more intermediate members shaped as an elastic disc or flat ring, arranged perpendicular to the axis of the coupling parts, different sets of spots of the disc or ring being attached to each coupling part, e.g. Hardy couplings
- F16D3/79—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive with the coupling parts connected by one or more intermediate members shaped as an elastic disc or flat ring, arranged perpendicular to the axis of the coupling parts, different sets of spots of the disc or ring being attached to each coupling part, e.g. Hardy couplings the disc or ring being metallic
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16D—COUPLINGS FOR TRANSMITTING ROTATION; CLUTCHES; BRAKES
- F16D3/00—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive
- F16D3/005—Yielding couplings, i.e. with means permitting movement between the connected parts during the drive incorporating leaf springs, flexible parts of reduced thickness or the like acting as pivots
Definitions
- the present invention relates to elastic flexure elements and actuators employing these elements for use, for example, in robotic applications.
- a key mechanical requirement for industrial is the ability to generate large but precise forces and torques while maintaining overall control stability. These torques and forces are generated by actuators, i.e., motors responsive to control signals to apply a commanded torque, which is transmitted mechanically to a load either directly (where rotational actuation is required) or via a linear conversion element, such as a lead screw (when linear force is required).
- actuators i.e., motors responsive to control signals to apply a commanded torque, which is transmitted mechanically to a load either directly (where rotational actuation is required) or via a linear conversion element, such as a lead screw (when linear force is required).
- Stiff actuators can exert large forces from small joint displacements, and permit high-bandwidth force control and precise position control. But stiffness makes force control difficult. Because of the importance of force control in robotic applications, stiffness and the attendant bandwidth is typically sacrificed to achieve better force control.
- One approach is to utilize an elastic element in series with the actuator. Elasticity has the effect of making the force control easier, as larger deformations are needed to exert a given force relative to a stiff actuator. robot. In effect, the elasticity allows force to be controlled via position rather than directly, which improves accuracy and stability, and reduces noise.
- Designing series elastic elements for robotic applications can be challenging due to space constraints, the need to withstand large and repeated applied torques without slippage or wander, and the need for repeatable but economical manufacture.
- a rotational elastic element for example, the design must incorporate components with sufficient length to provide the desired elasticity (since stiffness varies inversely with the cube of a component's length), but must also provide a secure mounting frame to avoid slippage. Because the frame typically defines the outer envelope of the elastic element, it imposes a limit on the amount of internal length that may be employed.
- the present invention provides, in various embodiments, a planar flexure member for resisting rotation about a central axis thereof that affords greater compliance than conventional designs.
- the flexure member comprises a central portion comprising a plurality of attachment points; and at least two serpentine flexure arms extending oppositely and symmetrically from the central portion in a plane, each of the arms terminating in an arcuate mounting rail, the mounting rails each comprising a plurality of attachment points and being positioned in opposition to to each other to partially define and occupy a planar circular envelope radially displaced from but surrounding the central portion, a portion of the serpentine arms extending substantially to the envelope between the mounting rails.
- the serpentine arms have a varying thickness with a thinnest portion thereof at the envelope.
- the arms and the central portion may have a unitary height at least equal to the width of the arms at a narrowest portion thereof.
- the ratio of height to width may be at least 2.
- the arms and the central portion have a non-unitary height.
- the flexure member may be made of titanium or other suitable metal (or other material).
- the arms (or portion thereof) have an I-beam cross-section.
- the arms may alternatively or in addition include voids along a neutral bending axis thereof.
- the invention in another aspect, pertains to a planar flexure member for resisting rotation about a central axis thereof.
- the flexure member includes a central portion comprising a plurality of attachment points; and at least one serpentine flexure arm extending from the central portion in a plane and terminating in an arcuate mounting rail having a plurality of attachment points.
- the invention relates to a rotary actuator.
- the actuator comprises a motor configured for rotation about an actuation axis; and a planar flexure member having a central output portion mechanically coupled to a load and at least two serpentine flexure arms extending oppositely and symmetrically from the central portion in a plane, each of the arms terminating in an arcuate mounting rail having a plurality of attachment points for mounting to the motor, the mounting rails being positioned in opposition to each other to partially define and occupy a planar circular envelope radially displaced from but surrounding the central portion, a portion of the serpentine arms extending substantially to the envelope between the mounting rails.
- the serpentine arms have a varying thickness with a thinnest portion thereof at the envelope.
- the arms and the central portion may have a unitary height at least equal to the width of the arms at a narrowest portion thereof.
- the ratio of height to width may be at least 2.
- the arms and the central portion have a non-unitary height.
- the flexure member may be made of titanium or other suitable metal (or other material).
- the arms (or portion thereof) have an I-beam cross-section.
- the arms may alternatively or in addition include voids along a neutral bending axis thereof.
- the actuator has an actuation axis coaxial with an output axis. In other embodiments, the actuator has an actuation axis parallel to and offset with respect to an output axis, or oblique with respect to an output axis.
- FIG. 1 schematically illustrates a representative actuator system employing an embodiment of the invention.
- FIGS. 2A and 2B illustrate, respectively, perspective and elevational views of a planar flexure member in accordance with embodiments of the present invention.
- FIGS. 3A and 3B are plan and sectional views, respectively, of a representative deployment of the flexure member shown in FIGS. 2A and 2B . Some components are omitted for clarity in FIG. 3A .
- FIG. 1 illustrates the basic components of an actuator system 100 that incorporates a flexure element in accordance herewith.
- the system 100 includes a torque-generating device, i.e., a motor 110 , which may optionally be geared via a gearbox 112 (which lightens the system by facilitating use of a smaller motor 110 operating at higher speeds).
- the gearbox 112 may be integral to or separate from the motor 110 .
- a torsional spring element 114 is linked in series with the output of the gearbox 112 , or if no gearbox is employed, directly with the motor 110 .
- the load 116 to be acted upon by the actuator system 100 is linked in series to the other end of spring element 114 .
- the spring element 114 thereby introduces at the interface between the actuator 100 and the load 116 a series elasticity that affords precise control of the force applied to the load.
- the spring element 114 may be linked to the load 116 through a low-backlash transmission element (not shown) if desired.
- the axial distance between the actuator system 100 and the load 116 may be tightly constrained, limiting the thickness of the spring element 114 .
- the radial extent of the actuator system 100 may also be highly constrained, limiting the envelope diameter of the spring element. Hence, it is essential to pack the desired degree of stiffness into a small spatial region, while at the same time providing for sufficiently secure mounting of the spring element 114 to the gearbox 112 and the load 116 (or other mechanical output) to avoid slippage and wander.
- the flexure member 200 is a planar structure having generally flat opposed surfaces, the visible one of which is indicated at 205 .
- a central portion 215 includes a plurality of attachment points 217 —i.e., mounting holes arranged in a generally circular configuration and typically spaced equidistantly apart.
- the attachment points 217 accommodate screws or other fasteners that secure the flexure member 200 to the actuator motor or gearbox as described earlier.
- each of the arms 220 a, 220 b terminates in an arcuate mounting rail 225 a, 225 b.
- Each of the mounting rails 225 includes a plurality of attachment points 217 (mounting holes, once again, in the illustrated embodiment) that facilitate attachment of the flexture member 200 to the load or the drive. As best seen in FIG.
- the mounting rails 225 are positioned in opposition to define, along with the outer curved segments of the flexure arms 220 , a substantially circular outer envelope for stability and symmetry of rotative force transmission. Because the mounting rails 225 occupy only a portion of the circular envelope, the flexure arms may extend outwardly so that the outer curved edges meet or approach the envelope. In this way, the lengths of the flexure arms 220 may be maximized within a limited circular area—i.e., their lengths are not constrained to fit inside a fully circular mounting collar.
- the flexure member 200 has a height h, which depends, in various embodiments, on the size of the actuator. Furthermore, although the flexure member 200 is planar, the height h may vary—that is, different regions of the flexure member 200 may have different thicknesses. A representative range of heights is 2.5 to 9 mm. Where the height varies, a typical configuration has the thinnest (lowest h) portion of the arms 220 at the outer edges thereof.
- the arms 220 , the central portion 215 and the rails 225 have a unitary height, that height may be at least equal to the width of the arms at a narrowest portion thereof, representatively indicated at 230 ; in one illustrative implementation, the ratio of height to width is 2:1.
- the arms 220 provide the elasticity of the flexure member 200 . That is, as the central portion 215 is rotated, rotary force is transmitted to the arms 220 .
- the outside of the flexure member 200 is attached to the gearbox 112 (see FIG. 1 ).
- the arms 220 elastically deform to a degree dependent on the torque applied to the central portion 215 and the reaction force of the load.
- the elasticity of the flexure member 200 depends on the modulus of the material from which the flexure member is fabricated as well as the lengths and thicknesses of the arms 220 .
- each of the arms 220 may be approximately modeled as a cantilever beam with a stiffness k given by
- E is the Young's modulus of the flexure member 200
- h is the cross-sectional width (radial dimension) of the arm shown in FIG. 2B
- b is the height (z-axis) of the arm
- L is the length of the arm (from the central portion 215 to the mounting rail 225 ).
- z-axis arm thickness h can be traded off against arm width in the xy plane of the flexure member 200 . If thickness is constrained by space limitations or machinability, in other words, a given reduction in thickness can be compensated for by a cubic increase in arm width in order to maintain the same stiffness. Although the cubic relationship implies a large areawise increase in the arm footprint to achieve a thickness reduction, in fact this increase is readily accommodated by the serpentine configuration, which leaves substantial open space within the envelope of the flexure member 200 —space that is further increased by the limited-circumference mounting rails 225 , which allow the outer edges of the arms 220 to be maximally spaced from the central portion 215 . Other weight-reduction strategies may also be employed.
- the arms may be shaped with an I-beam cross-section to reduce the amount of material needed to achieve a given stiffness, or material may be removed along the neutral axis of bending (e.g., voids or holes may be formed along the neutral axis).
- stamping water-jet cutting, laser cutting, and machining
- Stamped parts can exhibit inferior edge quality and therefore durability limitations, and it can be difficult to retain complex feature shapes following heat treatment; hence slender, curved arm segments may be incompatible with stamping as a fabrication option.
- Water jet/laser cutting cutting generally has a low-end dimensional control of about 0.005′′ for materials suitable for flexure members as contemplated herein, and for flexures designed for small operating torques, this variation translates into very large stiffness variations, since stiffness varies with the cube of the dimensional error.
- a finishing technique maybe employed to adjust the final mechanical properties of the flexure member 200 .
- peening e.g., shot peening
- peening is frequently used to introduce surface residual compressive stresses and thereby increase the durability of metal parts.
- a preferred material for the flexure element 200 is titanium, particularly when the flexure element is affixed to an aluminum load and/or rotor.
- the coeffiecient of friction between aluminum and titanium is higher than between steel and aluminum, reducing the possibility that the bolted joint will slip.
- a titanimum flexure requires more material, the volume offset does not outweigh the density reduction titanium offers, and the net result is a lighter flexure. Titanum has a natural endurance limit in the same way steel does (though unlike many other materials) and therefore is well suited to elastic applications.
- Titanium has 60% of the stiffness of steel, which means that the flexure arms need to be a bit thicker relative to steel, reducing their sensitivity to tolerance variation. It should be noted that more than one flexure in accordance herewith may be stacked in various configurations to achieve balanced loading and the required torque deflection.
- FIGS. 3A and 3B show the flexure element 200 coupled to a load in a representative mechanical environment.
- the load itself (not shown, but which may be, for example a robot arm) is coupled via bolts 315 passing through the central mounting holes of the flexure element 200 .
- a circular frame 320 is mechanically coupled to the central portion of the flexure element 200 via cross roller bearings or a similar system.
- crossed roller bearings comprise outer rings, inner rings, and rolling elements; they can also be metal spacers. Due to the crossed arrangement of the rolling elements, such bearings can support axial forces from both directions as well as radial forces, tilting moment loads and combinations of loads with a single bearing position.
- the outer rails 325 of the flexure element 200 are secured to a source of rotary power, such as a harmonic drive 330 .
- the flexure element 200 transmits torque from the drive 330 to the system output, acting as a spring therebetween.
Abstract
Description
- The present invention relates to elastic flexure elements and actuators employing these elements for use, for example, in robotic applications.
- Industrial robots perform a variety of tasks involving the movement and manipulation of various objects. A typical industrial robot as used, e.g., in a manufacturing environment, may have one or more arms equipped with grippers that allow the robot to pick up, transport, and manipulate objects. A key mechanical requirement for industrial is the ability to generate large but precise forces and torques while maintaining overall control stability. These torques and forces are generated by actuators, i.e., motors responsive to control signals to apply a commanded torque, which is transmitted mechanically to a load either directly (where rotational actuation is required) or via a linear conversion element, such as a lead screw (when linear force is required).
- Stiff actuators can exert large forces from small joint displacements, and permit high-bandwidth force control and precise position control. But stiffness makes force control difficult. Because of the importance of force control in robotic applications, stiffness and the attendant bandwidth is typically sacrificed to achieve better force control. One approach is to utilize an elastic element in series with the actuator. Elasticity has the effect of making the force control easier, as larger deformations are needed to exert a given force relative to a stiff actuator. robot. In effect, the elasticity allows force to be controlled via position rather than directly, which improves accuracy and stability, and reduces noise.
- Designing series elastic elements for robotic applications can be challenging due to space constraints, the need to withstand large and repeated applied torques without slippage or wander, and the need for repeatable but economical manufacture. In a rotational elastic element, for example, the design must incorporate components with sufficient length to provide the desired elasticity (since stiffness varies inversely with the cube of a component's length), but must also provide a secure mounting frame to avoid slippage. Because the frame typically defines the outer envelope of the elastic element, it imposes a limit on the amount of internal length that may be employed.
- The present invention provides, in various embodiments, a planar flexure member for resisting rotation about a central axis thereof that affords greater compliance than conventional designs. In various embodiments, the flexure member comprises a central portion comprising a plurality of attachment points; and at least two serpentine flexure arms extending oppositely and symmetrically from the central portion in a plane, each of the arms terminating in an arcuate mounting rail, the mounting rails each comprising a plurality of attachment points and being positioned in opposition to to each other to partially define and occupy a planar circular envelope radially displaced from but surrounding the central portion, a portion of the serpentine arms extending substantially to the envelope between the mounting rails.
- In some embodiments, the serpentine arms have a varying thickness with a thinnest portion thereof at the envelope. The arms and the central portion may have a unitary height at least equal to the width of the arms at a narrowest portion thereof. For example, the ratio of height to width may be at least 2. In other embodiments, the arms and the central portion have a non-unitary height.
- The flexure member may be made of titanium or other suitable metal (or other material). In some implementations, the arms (or portion thereof) have an I-beam cross-section. The arms may alternatively or in addition include voids along a neutral bending axis thereof.
- In another aspect, the invention pertains to a planar flexure member for resisting rotation about a central axis thereof. In various embodiments, the flexure member includes a central portion comprising a plurality of attachment points; and at least one serpentine flexure arm extending from the central portion in a plane and terminating in an arcuate mounting rail having a plurality of attachment points.
- In still another aspect, the invention relates to a rotary actuator. In various embodiments, the actuator comprises a motor configured for rotation about an actuation axis; and a planar flexure member having a central output portion mechanically coupled to a load and at least two serpentine flexure arms extending oppositely and symmetrically from the central portion in a plane, each of the arms terminating in an arcuate mounting rail having a plurality of attachment points for mounting to the motor, the mounting rails being positioned in opposition to each other to partially define and occupy a planar circular envelope radially displaced from but surrounding the central portion, a portion of the serpentine arms extending substantially to the envelope between the mounting rails.
- In some embodiments, the serpentine arms have a varying thickness with a thinnest portion thereof at the envelope. The arms and the central portion may have a unitary height at least equal to the width of the arms at a narrowest portion thereof. For example, the ratio of height to width may be at least 2. In other embodiments, the arms and the central portion have a non-unitary height. The flexure member may be made of titanium or other suitable metal (or other material). In some implementations, the arms (or portion thereof) have an I-beam cross-section. The arms may alternatively or in addition include voids along a neutral bending axis thereof.
- In some embodiments, the actuator has an actuation axis coaxial with an output axis. In other embodiments, the actuator has an actuation axis parallel to and offset with respect to an output axis, or oblique with respect to an output axis.
- The term “substantially” or “approximately” means ±10% (e.g., by weight or by volume), and in some embodiments, ±5%. The term “consists essentially of” means excluding other materials that contribute to function, unless otherwise defined herein. Nonetheless, such other materials may be present, collectively or individually, in trace amounts. Reference throughout this specification to “one example,” “an example,” “one embodiment,” or “an embodiment” means that a particular feature, structure, or characteristic described in connection with the example is included in at least one example of the present technology. Thus, the occurrences of the phrases “in one example,” “in an example,” “one embodiment,” or “an embodiment” in various places throughout this specification are not necessarily all referring to the same example. Furthermore, the particular features, structures, routines, steps, or characteristics may be combined in any suitable manner in one or more examples of the technology. The headings provided herein are for convenience only and are not intended to limit or interpret the scope or meaning of the claimed technology.
- The foregoing will be more readily understood from the following detailed description of the invention, in particular, when taken in conjunction with the drawings, in which:
-
FIG. 1 schematically illustrates a representative actuator system employing an embodiment of the invention. -
FIGS. 2A and 2B illustrate, respectively, perspective and elevational views of a planar flexure member in accordance with embodiments of the present invention. -
FIGS. 3A and 3B are plan and sectional views, respectively, of a representative deployment of the flexure member shown inFIGS. 2A and 2B . Some components are omitted for clarity inFIG. 3A . -
FIG. 1 illustrates the basic components of anactuator system 100 that incorporates a flexure element in accordance herewith. Thesystem 100 includes a torque-generating device, i.e., amotor 110, which may optionally be geared via a gearbox 112 (which lightens the system by facilitating use of asmaller motor 110 operating at higher speeds). The gearbox 112 may be integral to or separate from themotor 110. Atorsional spring element 114 is linked in series with the output of the gearbox 112, or if no gearbox is employed, directly with themotor 110. The load 116 to be acted upon by theactuator system 100 is linked in series to the other end ofspring element 114. Thespring element 114 thereby introduces at the interface between theactuator 100 and the load 116 a series elasticity that affords precise control of the force applied to the load. Thespring element 114 may be linked to the load 116 through a low-backlash transmission element (not shown) if desired. - In a robot environment, the axial distance between the
actuator system 100 and the load 116 may be tightly constrained, limiting the thickness of thespring element 114. The radial extent of theactuator system 100 may also be highly constrained, limiting the envelope diameter of the spring element. Hence, it is essential to pack the desired degree of stiffness into a small spatial region, while at the same time providing for sufficiently secure mounting of thespring element 114 to the gearbox 112 and the load 116 (or other mechanical output) to avoid slippage and wander. - A representative elastic element fulfilling these contradictory constraints is shown in
FIGS. 2A and 2B . Theflexure member 200 is a planar structure having generally flat opposed surfaces, the visible one of which is indicated at 205. Acentral portion 215 includes a plurality of attachment points 217—i.e., mounting holes arranged in a generally circular configuration and typically spaced equidistantly apart. The attachment points 217 accommodate screws or other fasteners that secure theflexure member 200 to the actuator motor or gearbox as described earlier. - Emanating from the
central portion 215 are a pair ofserpentine flexure arms central portion 215 in a plane. Although two arms 220 are shown, it should be understood that configurations utilizing a single arm 220, as well as more than two arms 220, are within the scope of the invention. In the illustrated embodiment, each of thearms rail 225 a, 225 b. Each of the mounting rails 225 includes a plurality of attachment points 217 (mounting holes, once again, in the illustrated embodiment) that facilitate attachment of the flexturemember 200 to the load or the drive. As best seen inFIG. 3 , described in greater detail below, the mounting rails 225 are positioned in opposition to define, along with the outer curved segments of the flexure arms 220, a substantially circular outer envelope for stability and symmetry of rotative force transmission. Because the mounting rails 225 occupy only a portion of the circular envelope, the flexure arms may extend outwardly so that the outer curved edges meet or approach the envelope. In this way, the lengths of the flexure arms 220 may be maximized within a limited circular area—i.e., their lengths are not constrained to fit inside a fully circular mounting collar. - With reference to
FIG. 2B , theflexure member 200 has a height h, which depends, in various embodiments, on the size of the actuator. Furthermore, although theflexure member 200 is planar, the height h may vary—that is, different regions of theflexure member 200 may have different thicknesses. A representative range of heights is 2.5 to 9 mm. Where the height varies, a typical configuration has the thinnest (lowest h) portion of the arms 220 at the outer edges thereof. Where the arms 220, thecentral portion 215 and the rails 225 have a unitary height, that height may be at least equal to the width of the arms at a narrowest portion thereof, representatively indicated at 230; in one illustrative implementation, the ratio of height to width is 2:1. - The arms 220 provide the elasticity of the
flexure member 200. That is, as thecentral portion 215 is rotated, rotary force is transmitted to the arms 220. The outside of theflexure member 200 is attached to the gearbox 112 (seeFIG. 1 ). The arms 220 elastically deform to a degree dependent on the torque applied to thecentral portion 215 and the reaction force of the load. The elasticity of theflexure member 200 depends on the modulus of the material from which the flexure member is fabricated as well as the lengths and thicknesses of the arms 220. In particular, each of the arms 220 may be approximately modeled as a cantilever beam with a stiffness k given by -
- where E is the Young's modulus of the
flexure member 200, h is the cross-sectional width (radial dimension) of the arm shown inFIG. 2B , b is the height (z-axis) of the arm, and L is the length of the arm (from thecentral portion 215 to the mounting rail 225). - Because of this relationship, z-axis arm thickness h can be traded off against arm width in the xy plane of the
flexure member 200. If thickness is constrained by space limitations or machinability, in other words, a given reduction in thickness can be compensated for by a cubic increase in arm width in order to maintain the same stiffness. Although the cubic relationship implies a large areawise increase in the arm footprint to achieve a thickness reduction, in fact this increase is readily accommodated by the serpentine configuration, which leaves substantial open space within the envelope of theflexure member 200—space that is further increased by the limited-circumference mounting rails 225, which allow the outer edges of the arms 220 to be maximally spaced from thecentral portion 215. Other weight-reduction strategies may also be employed. For example, the arms may be shaped with an I-beam cross-section to reduce the amount of material needed to achieve a given stiffness, or material may be removed along the neutral axis of bending (e.g., voids or holes may be formed along the neutral axis). - Indeed, wider arms can aid manufacturability, since narrow features can be difficult to fabricate. Typical approaches used in the manufacture of planar flexures include stamping, water-jet cutting, laser cutting, and machining Stamped parts can exhibit inferior edge quality and therefore durability limitations, and it can be difficult to retain complex feature shapes following heat treatment; hence slender, curved arm segments may be incompatible with stamping as a fabrication option. Water jet/laser cutting cutting generally has a low-end dimensional control of about 0.005″ for materials suitable for flexure members as contemplated herein, and for flexures designed for small operating torques, this variation translates into very large stiffness variations, since stiffness varies with the cube of the dimensional error. Additionally, the cost of water jet/laser cutting is faily high compared with processes like extruding and slicing, and does not ramp to volume production easily. If desired, a finishing technique maybe employed to adjust the final mechanical properties of the
flexure member 200. For example, peening (e.g., shot peening) is frequently used to introduce surface residual compressive stresses and thereby increase the durability of metal parts. - In general, an extrusion process followed by slicing into planar flexure elements is cost-effective and well-suited to embodiments of the present invention. A preferred material for the
flexure element 200 is titanium, particularly when the flexure element is affixed to an aluminum load and/or rotor. The coeffiecient of friction between aluminum and titanium is higher than between steel and aluminum, reducing the possibility that the bolted joint will slip. Although a titanimum flexure requires more material, the volume offset does not outweigh the density reduction titanium offers, and the net result is a lighter flexure. Titanum has a natural endurance limit in the same way steel does (though unlike many other materials) and therefore is well suited to elastic applications. Titanium has 60% of the stiffness of steel, which means that the flexure arms need to be a bit thicker relative to steel, reducing their sensitivity to tolerance variation. It should be noted that more than one flexure in accordance herewith may be stacked in various configurations to achieve balanced loading and the required torque deflection. -
FIGS. 3A and 3B show theflexure element 200 coupled to a load in a representative mechanical environment. The load itself (not shown, but which may be, for example a robot arm) is coupled viabolts 315 passing through the central mounting holes of theflexure element 200. Acircular frame 320 is mechanically coupled to the central portion of theflexure element 200 via cross roller bearings or a similar system. As is well understood in the art, crossed roller bearings comprise outer rings, inner rings, and rolling elements; they can also be metal spacers. Due to the crossed arrangement of the rolling elements, such bearings can support axial forces from both directions as well as radial forces, tilting moment loads and combinations of loads with a single bearing position. Theouter rails 325 of theflexure element 200 are secured to a source of rotary power, such as aharmonic drive 330. Thus, theflexure element 200 transmits torque from thedrive 330 to the system output, acting as a spring therebetween. - The terms and expressions employed herein are used as terms and expressions of description and not of limitation, and there is no intention, in the use of such terms and expressions, of excluding any equivalents of the features shown and described or portions thereof. In addition, having described certain embodiments of the invention, it will be apparent to those of ordinary skill in the art that other embodiments incorporating the concepts disclosed herein may be used without departing from the spirit and scope of the invention. In particular, embodiments of the invention need not include all of the features or have all of the advantages described herein. Rather, they may possess any subset or combination of features and advantages. Accordingly, the described embodiments are to be considered in all respects as only illustrative and not restrictive.
Claims (20)
Priority Applications (6)
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US14/806,807 US9556920B1 (en) | 2015-07-23 | 2015-07-23 | Planar flexure members and actuators using them |
JP2016142162A JP6366650B2 (en) | 2015-07-23 | 2016-07-20 | Planar curved member and actuator using the same |
CN201610586841.4A CN106363662B (en) | 2015-07-23 | 2016-07-22 | Plane deflection element and the actuator for using them |
ES16180863T ES2728518T3 (en) | 2015-07-23 | 2016-07-22 | Flat bending elements and actuators that use them |
EP16180863.9A EP3121472B1 (en) | 2015-07-23 | 2016-07-22 | Planar flexure members and actuators using them |
US15/411,380 US10364858B2 (en) | 2015-07-23 | 2017-01-20 | Planar flexure members and actuators using them |
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US14/806,807 US9556920B1 (en) | 2015-07-23 | 2015-07-23 | Planar flexure members and actuators using them |
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US15/411,380 Continuation-In-Part US10364858B2 (en) | 2015-07-23 | 2017-01-20 | Planar flexure members and actuators using them |
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CN112549012A (en) * | 2020-11-30 | 2021-03-26 | 武汉大学 | Series elastic driver based on flexible hinge and control method |
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CN112041129B (en) * | 2018-03-28 | 2023-10-10 | 罗博力坚特有限公司 | Rotary tandem elastic actuator |
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CN110566614B (en) * | 2019-09-11 | 2022-03-22 | 哈尔滨工业大学(深圳) | One-way plane torsional spring |
FI12778Y1 (en) * | 2019-11-25 | 2020-10-15 | Labrys Oy | Spring element |
CN116963880A (en) | 2021-03-03 | 2023-10-27 | 住友重机械工业株式会社 | Connecting device and manipulator |
EP4202251A1 (en) | 2021-12-23 | 2023-06-28 | Maxon International AG | Level torsion spring for a series elastic actuator |
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FR2499181B1 (en) * | 1981-02-04 | 1986-03-28 | Valeo | TORSION DAMPING DEVICE, IN PARTICULAR A CLUTCH FRICTION, IN PARTICULAR FOR A MOTOR VEHICLE |
FR2631091B1 (en) * | 1988-05-06 | 1993-01-08 | Valeo | TORSIONAL DAMPING DEVICE WITH ELASTIC BLANKS, ESPECIALLY FOR A MOTOR VEHICLE |
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CN112549012A (en) * | 2020-11-30 | 2021-03-26 | 武汉大学 | Series elastic driver based on flexible hinge and control method |
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US9556920B1 (en) | 2017-01-31 |
ES2728518T3 (en) | 2019-10-25 |
JP2017026150A (en) | 2017-02-02 |
JP6366650B2 (en) | 2018-08-01 |
CN106363662A (en) | 2017-02-01 |
CN106363662B (en) | 2019-11-05 |
EP3121472B1 (en) | 2019-04-24 |
EP3121472A1 (en) | 2017-01-25 |
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