Compliant mechanisms and constant force mechanisms capable of producing a constant force for the entire range of motion are generally discussed herein with specific discussions extended to constant force mechanisms that are adjustable.
Mechanisms with interesting force-deflection characteristics have always intrigued engineers and scientists and thus have been a subject of on-going research. Mechanisms using linear springs to give increased force outputs with greater input displacements have been widely known and researched. In some applications, the output force may be desired to stay constant with a change in the input displacement. Such situations arise in applications such as robotic grasping, preventing damage to machine tools or end-effectors due to unforeseen position errors, biomedical applications, haptic devices, and micro-grasps. These mechanisms are referred to as “constant-force” mechanisms. An exemplary constant force-mechanism is described in U.S. Pat. No. 5,649,454 (Midha et al.), its contents are expressly incorporated herein by reference.
A constant-force mechanism is designed to produce a constant-force for the entire range of motion. This mechanism is a compliant mechanism as it gains movement from parts that flex, bend, or have a resiliency and in addition produces a desired constant-force output at all times. A constant force can be generated using hydraulic, pneumatic, and electrical device units, or even with a negator spring. But, from practical design considerations for micro applications, these solutions may not be possible. For micro applications, a solution applicable to a mechanical linkage system is needed which does not incorporate a power source.
Accordingly, it would be more useful to engineers and scientists alike if the constant-force output could be adjusted and that it has micro scale applications. Accordingly, there is a need for a variable or adjustable constant-force mechanism for increased versatility and one which has a number of different applications including micro-scale applications.
The present invention may be implemented by providing a compliant mechanism comprising two support structures each comprising a translational axis mounted perpendicular to one another; a resilient member comprising a length attached to a slidable structure positioned on each support structure; a first link pivotally connected directly or indirectly to each of the slidable structures, and an adjustment block attached to one of the structures for changing the length of the resilient member of that structure.
Alternatively, the present invention may also be practiced by providing a compliant mechanism comprising an input structure, two resilient members each comprising a length connected directly or indirectly to the input structure and wherein the two resilient members are mounted parallel to one another along a lengthwise direction, a third resilient member comprising a length mounted directly or indirectly to the input structure with its length generally perpendicularly to the lengths of the two resilient members; and a plurality of links connected directly or indirectly to the input structure.
In another aspect of the present invention, there is provided a compliant mechanism for producing a constant force during a range of motion of the mechanism comprising a first structure comprising a first movable slider adapted to move along a first linear direction, a first resilient member comprising a length acting on the first slider so that the first slider experiences a pushing force from the first resilient member during movement of the first slider along at least a portion of the first linear direction, a second structure comprising a second movable slider adapted to move along a second linear direction, a second resilient member comprising a length acting on the second slider so that the second slider experiences a pushing force from the second resilient member during movement of the second slider along at least a portion of the second linear direction; a link comprising a length in pivotable relationship, either directly or indirectly, with both the first slider and the second slider; and an adjustment mechanism mechanically coupled to either the first resilient member or the second resilient member for adjusting the length of the first resilient member or the second resilient member.
In still yet another aspect of the present invention, there is provided a compliant mechanism comprising a slider connected to a first link by a first joint, the first link connected to a second link by a second joint, and the second link connected to a third link by a third joint, wherein the first link and second link are at a first angle to one another during a first position; the third joint is fixed to a first base; the slider is movable over a second base; and the first angle is adjustable to a second angle by moving either the first base or the second base.
These and other features and advantages of the present invention will become appreciated as the same become better understood with reference to the specification, claims and appended drawings wherein:
The detailed description set forth below in connection with the appended drawings is intended as a description of the presently preferred embodiments of an adjustable constant force mechanism provided in accordance with practice of the present invention and is not intended to represent the only forms in which the present invention may be constructed or utilized. The description sets forth the features and the steps for constructing and using the adjustable constant force mechanism of the present invention in connection with the illustrated embodiments. It is to be understood, however, that the same or equivalent functions and structures may be accomplished by different embodiments that are also intended to be encompassed within the spirit and scope of the invention. Also, as denoted elsewhere herein, like element numbers are intended to indicate like or similar elements or features.
Referring now to
In one exemplary embodiment, the first horizontal spring 16 has a normal or undeflected length l1, the second vertical spring 18 has a normal length l2, and the link 20 has a fixed length l3. The sliders 12, 14 are positioned such that they are constrained and slide perpendicular to one another along the respective first and second axes 26, 28. The rigid link 20 is connected to the two sliders 12, 14 by way of two rotary joints 22, 24. The rotary joints are revolute-type joints as they can rotate or pivot without generating, at least significantly, a torsional moment. Exemplary revolute-type joints may include rivets, bolts, pins, and equivalent structures.
In a preferred embodiment, the sliders 12, 14 should slide freely to avoid or eliminate inertia and friction effects. As further discussed below, a working model may incorporate linear ball bearing slides 17, 19 (e.g., drawer slides) and slotted guide-ways to facilitate sliding the sliders along the two axes 26, 28. When the bearings are incorporated, the slides 12, 14 move with negligible friction and produce minimal inertia effects. The slides 12, 14 may be attached to the linear ball bearings slides 17, 19 through any number of mechanical connections. The slides may incorporate any number of configurations including a solid block, a block comprising curved surfaces, a cylinder, and may be made from metal, plastic, fiberglass, delrin, a polymer, or their equivalents.
Referring now to
From the initial configuration, if a force F is applied to the first slider 12, it will move the slider 12 away from the home position H1 to compress the first spring 16 (
For a one-degree of freedom mechanism 10 shown in
In vector analysis form, the mechanism of
From the vector loop method for the mechanism shown in the vector diagram, the kinematics of the mechanism can be written:
Differentiating the equations, it follows:
i1=l3 sin Θ3{dot over (Θ)}3,{dot over (l)}2=−l3 cos Θ3{dot over (Θ)}3 (4)
In terms of virtual displacements, the equations can be rewritten as:
Assuming the initial configuration is as given in
δW=−Fδx+[−k1(l1−l3)]δx+[−k2(l2)]δy (7)
In case of equilibrium, the change in work is zero. Thus, the equation may be written as follows:
−Fδx+[−k1(l1−l3)]δx+[−k2(l2)]δy=0 (8)
Substituting equations (3), (5), and (6), equation (8) can be rewritten as:
By expanding the terms, the equation becomes:
If both the horizontal and vertical springs have the same material properties and the same stiffness, then,
k1=k2 (11)
Substituting equation (11) in equation (10) and eliminating the common terms, the equation becomes:
F=k1l3 (12)
which is a constant-force and is dependent only on the stiffness of the horizontal spring 16 and the length of the rigid link 13 connecting the two sliders 12, 14. Because both the stiffness and the length are constant, the force is therefore constant during the entire range of motion of the mechanism 10.
In a preferred embodiment, a constant force mechanism is provided in which the magnitude of the constant-force output may be actively changed to obtain a different constant-force output. This is termed as an adjustable constant-force mechanism (ACFM) having an adjustable constant-force output. In one exemplary embodiment, the adjustment may be made by actively changing the length of the horizontal spring 16, as shown in
In the schematic diagram of
Referring again to equation (12), the movement of the spring by a distance rdes will result in the following equation:
Fdes=k1(l3+rdes) (13)
Therefore, for a spring stiffness of k1=1.314N/mm, l3=72.62 mm and rdes=0 mm, the constant-force output is given as F=95.42N. Similarly,
As is readily apparent by the three examples, the output force of the constant force mechanism is adjustable by varying the length of the spring. This relationship may be graphically plotted in Graph 1 as follows:
Referring now to
The alternative mechanism 38 may also operate as an adjustable constant force mechanism by varying the equilibrium position of the horizontal spring 16, such as by providing a preload to the spring by compressing or stretching the spring from its neutral position. Referring to
Although the adjustable block 45 is described with specificity as an adjustment means for adjusting the spring, a person of ordinary skill in the art will recognize that numerous other modifications may be made or incorporated to permit adjustment of the equilibrium position of the spring 16. Accordingly, changes to the adjustable block 45 is considered within the spirit and scope of the present invention. As examples, telescoping devices with retention means such as a pin and hole arrangement may be used, simple gear train, and a cam and lever system.
Verification of the output force of the adjustable constant force mechanism of
Using the adjustable block 45 during the experiment, the length of the horizontal spring 16 is changed to change its equilibrium position to thereby adjust the constant-force output. Although the results shown below are from decreasing the length of the spring (i.e., an increase in rdes), the length of rdes can be decreased (i.e., negative rdes value), which will lengthen the spring, placing it in tension in order to decrease the desired output force. The results obtained from the experiment on the adjustable constant-force mechanism 42 of
The results are tabulated below:
The difference in the actual force output of the mechanism 42 of
The above-described mechanisms may be made from a number of shapes, sizes, and materials. However, movements of the sliders 12, 14 should be constrained to two perpendicular axes. Among the different options, two perpendicular rails or tracks along with means for minimizing friction, such as linear ball bearing slides (e.g., drawer slides), may be incorporated for moving the sliders 12, 14. The different rail slides may be mounted on different surfaces and on different planes depending on the particular mechanical connections used to constrain the sliders, to support the springs, to adjust the length of the horizontal spring 16 (or vertical spring 18 if the horizontal spring 16 is not adjusted), to make the desired slider configurations, etc. In addition, the adjustable block 45 may incorporate a number of different configurations including a simple motor system, a mechanical telescoping system, a hydraulic cylinder, etc. Accordingly, changes in the actual embodiment for producing an adjustable constant force mechanism comprising two springs mounted on two perpendicular axes are within the spirit and scope of the present invention.
Exemplary applications for the adjustable constant force mechanisms described elsewhere herein include adjustable constant force exercise equipment, medical devices for therapy and rehabilitation, and electrical connectors, just to name a few. For exercise equipment, pulleys, cables, chains, or belts, and various shaped bars may be used as means for providing an input force to the input slider for both positive and negative weight training. In addition, by incorporating an adjustment block (e.g., block 45 in
In U.S. Pat. No. 5,649,454 to Midha et al., referred to and expressly incorporated herein by reference above, a host of constant force mechanisms are described with flexural pivots and compliant links. These mechanisms produce a fixed constant force output. These mechanisms can be adapted to produce adjustable outputs by adjusting the frame 12. In particular, in the compliant mechanisms of FIGS. 1a, 1d, 2a-2z, 3a, 3b, and 4, one or more of the bases 12 may be moved or adjusted in the direction of or against the direction of the input force (to compress or push or to pull or put in tension) to preload at least one of the flexural joint, compliant connecting rod, or compliant crank to thereby produce a different output force. FIG. 1a of the '454 patent is reproduced in drawings section as
Constant-force mechanisms may be adapted to operate in a miniaturized or even a micro-level. Such a small scaled constant force mechanism has at least two main advantages. Firstly, this mechanism will be able to apply a constant-force even if there are small inevitable deflections, which are difficult to determine and control at a micro-level. A constant force mechanism is insensitive to micro-position errors. The second advantage at the micro-level is that the material structures are compliant and will naturally behave like the springs in the above-described analysis for the spring-based mechanisms. Using a miniature size constant force mechanism, a constant-force can be applied for different grasping and manipulation tasks.
Refer now to
In one exemplary embodiment, the pair of cranks 54, 56 and the output link 68 are rigid whereas the three material links 58, 58, 66 are compressible or deformable. The four cranks 54, 56 are preferably of equal lengths. In an exemplary embodiment, materials like plastics may be used for the three material links 58, 58, 66, which will serve as springs in the constant-force mechanism 52 of
The constant force mechanism 52 of
In the
Fenv=2*K*l
Thus, much like the constant force mechanisms described with reference to
Although the preferred embodiments of the invention have been described with some specificity, the description and drawings set forth herein are not intended to be delimiting, and persons of ordinary skill in the art will understand that various modifications may be made to the embodiments discussed herein without departing from the scope of the invention, and all such changes and modifications are intended to be encompassed within the appended claims. Various changes to the adjustable constant-force mechanisms may be made such as modifying the materials, the size, the mechanical connections, the adjustment mechanisms for adjusting the lengths of the springs, etc. to produce the force relationship: F=k(1+r) and F=2*K*1. Other changes include using a resilient member instead of spiral wound metallic springs. For example, instead of an adjustment mechanism, a motor, cam, lever, pulley, or a locking mechanism comprising a pin and receptacle combination may be used to adjust the rdes length of the spring, which may in turn require the use of conventional mechanical devices such as gears, cables, belts, fasteners, and the like. Accordingly, many alterations and modifications may be made by those having ordinary skill in the art without deviating from the spirit and scope of the invention.
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/US04/12923 | 4/26/2004 | WO | 10/24/2005 |
Number | Date | Country | |
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60465352 | Apr 2003 | US |