Abstract
Abstract
From using chopsticks to grab items off a plate, to snapping together two LEGO bricks in one hand, common manipulation tasks are easy for humans. However, grasping and dexterous manipulation still rank among the principal grand challenges in robotics. A key challenge is the complex interaction between hand biomechanics and motor control, leading to humanoid hands that remain too complex and costly for use in daily tasks. Here, we bypass this challenge by offering an alternative approach based on multi-finger material phase transition effects. By limiting our focus to dexterous manipulation, we are able to design a robotic hand that can achieve six fundamental dexterous manipulations as well as precision and power grasps, all with only two actuators. We further demonstrate our system on a range of real-world grasping and manipulation challenges. Besides practical application, these results suggest that leveraging the phase transition of granular materials is a viable technique for reducing the hand complexity required for performing daily tasks.
Introduction
E
The central challenges for both prosthetic and robot hands are to achieve human-level grasping—restraining of objects 11 ; and dexterous manipulation—the movement of a grasped object within the workspace of the hand. 12 Since robot hands are not subject to the many design constraints of prosthetics (weight, size, power, controllable degrees of freedom [DOF]), they have served as the primary platform for recent grasping and dexterous manipulation research.
Dexterous manipulation is a task-centric concept, meaning that a hand can be classified as dexterous through the demonstration of certain in-hand manipulations of an object. Exactly what these requisite manipulation tasks entail, however, is a topic of considerable uncertainty. The two prevailing metrics for evaluating dexterous robotic manipulation are:
(1) Demonstrations from among several basic classes of in-hand movements,12,13 recently separated into six fundamental classes for robots
14
: regrasping, in-hand manipulation, finger gaiting, pivoting, rolling, and sliding. (2) Demonstration of a sufficiently broad set of real-world tasks that are typically some combination of those proposed in: the Activities of Daily Living,
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Cutkosky's taxonomy of manufacturing grasps,
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the DARPA ARM-H project announcement challenge tasks,
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or other tasks contrived to illustrate the capabilities of a particular hand.
In 1984, while describing the seminal Utah/MIT dexterous robot hand, Jacobsen et al. 18 articulated the viewpoint that had been (and which has largely remained) the longstanding sentiment of researchers in the field: “The natural manipulation system found in humans is complex. … It should be expected that the construction of an artificial counterpart will also include significant complexity.” The human hand has 22 DOF, 19 and as a result, many proposed robot hands have been designed with a similar level of complexity. For those robot hands that do not adhere to anthropomorphism so strictly, designs are typically based on the work of Salisbury, 20 who found that under certain conditions a minimum of three fingers and nine DOF are needed to perform arbitrary manipulations.
The operation and control of robotic hands with nine or more DOF can be a difficult task, as evidenced by the large body of work that exists in grasp algorithm and planning research.21–23 Some recent work, however, has put forth the view that human-level grasping and manipulation can perhaps be achieved with fewer DOF and fewer actuators by taking advantage of synergies that exist between the actuators, 24 and through underactuated mechanical designs. 25 Indeed, several recent underactuated hands have had success grasping a wide variety of objects with four DOF or fewer,26–29 but relatively little progress has been made in the area of dexterous manipulation. Later in Table 2, we compare the reported performance of some of the most well-known robot hands to illuminate the state of the art in this area.
In this article, we present the JamHand, a simple two-fingered design that incorporates pockets of granular material in the fingertips, and builds on previous work with individual jamming grippers.30,31 The sections that follow include: a description of the JamHand's design and control approach, the derivation of an analytical model to describe the JamHand's gripping behavior; results from experimental manipulation testing; and finally, some conclusions. Our focus in this article is to present a mechanical design for a robotic hand that has maximum dexterous manipulation capabilities with minimal actuation complexity. We do not focus here on the grasping capabilities of jamming grippers, which has been previously covered.30,31 Using just two motors for motion control and two three-position valves for air pressure control in the fingertips, we achieve: multiple precision and power grasps, six fundamental dexterous manipulations, and the demonstration of real-world grasping and manipulation challenges. Besides practical application, these results suggest that leveraging the phase transition of granular materials is a viable technique for reducing the hand complexity required for performing daily tasks.
JamHand Design and Control
The JamHand design is shown in Figures 1 and 2. It is a simple two-fingered configuration with pockets of granular material in the fingertips. This design enables each of the fingertips to be used separately as independent jamming grippers30,31 or to be used together in a manner similar to an opposable jawed gripper. To achieve this, the hand has an asymmetric design, with one “finger” and one “thumb.” Together, these represent the only two continuous DOF in the hand. The finger and the thumb are each driven by a separate servomotor such that the finger can move along a fixed path prescribed by a four-bar linkage and the thumb can rotate about its base. The four-bar linkage is a crank-rocker mechanism with link lengths of 3.46-cm, 4.57-cm, 5.72-cm, and 6.86-cm. A more detailed mechanical drawing of the JamHand is provided in Appendix Figure A1.


Illustration of the JamHand with parts (1) thumb, (2) finger, (3) jamming gripper fingertips, and (4) drive motors. The travel path of the finger is show at the top, with the crank link of the four-bar mechanism highlighted in blue. The 180° rotation of the thumb is shown at the bottom. Color images available online at www.liebertpub.com/soro
Most of the components for our JamHand prototype are 3D printed by using an Objet Connex 500 machine and Objet's FullCure720 photopolymer material. The four-bar linkage in the finger is printed as one monolithic mechanism and, therefore, does not require any post-printing assembly. The fingertips of the JamHand each consist of 250-mL of ground Colombian coffee encased in a latex party balloon. We drive the fingers by using Dynamixel RX-28 servo motors, chosen for their strength and ease of use. The thumb is able to rotate 180° about its base, whereas the finger makes a more complex motion, as shown in Figure 2. With this design, we achieve a maximum gap opening of 6.4-cm between the fingers. The Dynamixel RX-28 motors enable actuation times of 0.5-s for the 180° rotation for the thumb and 0.6-s for the full range of motion of the finger. Maximum pinch force exerted by the fingertips is 80-N, which was experimentally measured by pinching a 2-cm thick digital scale between the two fingertips until motor stall.
The air pressure within each of the two fingertips is controlled by a separate three-position valve so that the interstitial space can be evacuated, positively pressurized, or neutralized with the atmosphere. These valves are not contained within the hand, but rather are located on the robot arm to which the JamHand is mounted. We employed a CRS A465 robot arm for demonstrating and testing the JamHand. Positive pressure air was provided at 620 kPa, and vacuum was achieved with pump rated for a maximum vacuum of 25 μm. We were able to control the robot arm, valves, and hand motors through a single control program written in C++. A system diagram of the setup is shown in Figure 3. The total cost for this JamHand prototype (including motors, valves, and 3D printed components) is approximately US $1000.

System diagram of the JamHand installed on a robot arm. Solid lines show electrical communication between the controlling computer (C), the robot's control box (B), the robot (R), valves (v1 and v2), and motors (m1 and m2). Dotted lines show pneumatic communication between the pressure source (P), the vacuum source (V), valves (v1 and v2), and the jamming fingertips.
In demonstrating the JamHand, we use the open loop position control as a proof of concept. There is a significant opportunity for additional control work in the future, for example, through the addition of embedded sensors and feedback.
JamHand Analysis
When the fingertips of the JamHand are used separately, as independent jamming grippers, their behavior obeys the analytical analysis of Brown et al., 30 as well as the experimental analysis of Amend et al. 31 A single jamming gripper has been shown to retain objects by a combination of friction, geometric interlocking, and vacuum suction forces. 30 Each contributes separately to the total holding force, which is, therefore, calculated as the sum of these independent contributions:
FH = FF + FI + FS, where FH is the total holding force, FF is the contribution from friction, FI is the contribution from interlocking, and FS is the contribution from vacuum suction. This type of gripping is illustrated in Figure 4A.

We can adapt the analysis of a single jamming gripper's performance for the opposable two-fingered design of the JamHand, such that:
This type of grasp is illustrated in Figure 4B. When a single jamming gripper is evacuated, it produces a pinching contact region similar to an o-ring on the gripped object. 30 The object is pinched with an applied stress σ over an area A, as illustrated in Figure 4A. In the most basic case, if we consider the gripped object to be a hemisphere, we can describe the pinch as a distributed normal force FN = σAsinθ, where θ is the contact angle between the gripper and the hemisphere. With further knowledge of the radius of the gripped hemisphere R and the width of the contact area d, we can calculate FN = σd(2πRsin2θ). Applying the coefficient of static friction between the object and the gripper membrane, we can then calculate the contribution from FN to the friction based holding force.
FF = FN(μsinθ−cosθ).
30
However, we must turn this single gripper 90° to modify this calculation for an opposable two-fingered grip. Accounting for the combined holding force of two separate grippers as well as any additional pinch force that the fingers may provide, the contribution from friction becomes:
where FP is the pinch force. For a two-fingered grip, if the contact angle θ >0, then an additional contribution to holding force from geometric interlocking develops. This force results from the combined bending and stretching that the bulk granular material must undergo for a gripped object to be removed. Here, because the degree of interlocking can be expected to be very high compared with the amount usually found in a single gripper, we can utilize the equation provided by Brown et al. for interlocking dominated by the bending component:
where t is the thickness of the gripper section responsible for the interlocking, l is the length of the bending arm, and E is the modulus of the granular material. Only an approximate value can be given for the contribution from interlocking, however, because l is not predetermined and t is typically nonuniform. To arrive at an equation for a two-fingered gripper, we must consider that geometric interlocking may not occur on all sides of the gripped object, and also that each gripper is turned 90°. This gives:
Finally, for smooth objects on which the gripper is able to achieve an air-tight seal, a vacuum suction force can develop and contribute to the total holding force. Brown et al. gives the suction force as FS = PGA*, where PG is the pressure in the gap between the object and the gripper, and A* is the cross-sectional area of the sphere at θ, which we can calculate to be A* = πR2sin2θ. The maximum gap pressure depends on the friction force at which slip will occur at the contact between the gripper and the object, and it can, therefore, be calculated as PG = FF2/A. When the gripper is turned 90° as in the two-fingered grip of Figure 4B, the suction force is perpendicular to the measured holding force, so its contribution becomes an addition to the frictional force through multiplication by μ. Therefore, for our two-fingered gripper:
To confirm this model, holding force experiments in the configuration shown in Figure 4B were conducted by using a 3D printed sphere as a test object. To execute a test, the sphere was first grasped by the JamHand in the manner shown in Figure 4B, while both fingertips were vented to the atmosphere. To achieve the most symmetrical grasp on the test object, the spheres were presented elevated from the table on a thin pillar. Next, both fingertips were evacuated, and then the sphere was lifted from the pillar. Maximum pullout force was measured by using a digital load cell as the test sphere was pulled downward out from the gripper. Throughout the experiment, θ was varied while FH was measured; all other variables were held constant. Results are shown in Figure 4C, where the expected value of FH2 is plotted along with experimental data.
To calculate the expected value of holding force in Figure 4C, we use σ = 50-kPa, d = 1.07-mm, E = 7.4-MPa, and μ = 1.0. 30 For our specific test setup R = 14-mm, FP = 1.96-N, FG = 0.14-N, t = 20-mm, and l = 20-mm. The calculated line is scaled by a factor of 0.14 to fit the data. This scaling factor is a free parameter that accounts for approximations in the model such as non-uniform thickness in the gripper cross section, or spatial variations in the bending modulus. The value of 0.14 is compatible with the findings of Brown et al. 30 The test object used to measure the holding force was not smooth enough for the fingertips to achieve an air-tight seal, so FS2 is not included in the calculation of FH2. Likewise, based on the experimental confirmation of FH2 and the significant coverage devoted to this model in Ref. 30 we have left the independent confirmation of FI2 and FS2 as a potential area of future work, preferring instead to focus more effort here on experimental manipulation testing.
Spherical objects were utilized to develop and evaluate this model, whereas the majority of real-world objects are non-spherical. The contact relationship between the gripper and non-spherical objects is much more difficult to describe. One of the key takeaways from this simplified model is that gripper holding force can be maximized by increasing both the engagement with the object (θ), and the applied stress (σ, which develops from confining pressure). Indeed, in real-world testing, we find that the best performance is achieved when we can drive an object far into the granular material and also reach a deep vacuum within the membrane. Because our vacuum pump is sufficient to reach more than 90% vacuum during a grip cycle and θ values between π/4 and π/2 are common, we can expect upper limit payloads for the JamHand to be around 2.5-kg, when it is employed as a two-fingered gripper.
Manipulation Testing
With just two continuous DOF in the finger joints—each driven by a separate servomotor—and two three-position valves to control the air pressure within the fingertips, the JamHand is able to achieve: multiple precision and power grasps, six fundamental dexterous manipulations, and the demonstration of real-world grasping and manipulation tasks. Demonstrations of these tasks can be seen in Figure 5 and Supplementary Video S1 (Supplementary Data are available online at www.liebertpub.com/soro). In addition, we have experimentally tested the JamHand for open loop repeatability of the six basic manipulations, as well as its tolerance for error in the location of the target object. Table 1 shows the results of these experiments.

The JamHand can achieve multiple precision and power grasps, and it can perform all six basic dexterous manipulations (in addition to other real-world grasping and manipulation tasks). Here, in screen shots taken from Supplementary Video S1, the JamHand performs:
The repeatability and error tolerance tests reported in Table 1 were performed on our CRS A465 robot arm by using position control and open loop routines. The specific manipulations tested were those shown in Figure 5E–J. Each manipulation was attempted 100 times to generate the values for the first two columns of the Table. In each test, the hand attempted the given manipulation once, and if successful, it would continue to perform that manipulation until failure.
The first column in Table 1 reports the one-time success rate for each manipulation, which is to say when the hand performs the manipulation, it will succeed at least once on the reported percentage of attempts. The second column in Table 1 reports the maximum repetitions of a single manipulation, which is to say that if the hand successfully completes the open loop manipulation once, then it can go on to successfully repeat that manipulation the given number of times before failure. The reported range on this value represents the 95% confidence interval.
In the third column of Table 1, error tolerance indicates the ability of the hand to complete the intended manipulation when the target object is located some distance away from its expected pick-up position on the work surface. The distance range for error tolerance reported in Table 1 indicates the range within which the hand is still able to complete the intended manipulation at least 95% of the value reported in the first column of Table 1. To find the tolerable error distance, we first moved the object away from its intended location on the work surface by the same amount in each of the four main directions (along the length and width axes of the hand). We then performed repeated tests at a variety of distances to determine in which direction the hand had the least tolerance for error in object location. Next, we chose a distance in that worst-case direction, tested 10 manipulations at that distance, and iterated until the maximum distance was found for which the one-time repeatability did not fall below 95% of the value reported for the case without error.
From Table 1, we can read, for example, that in open loop the JamHand can complete the pivoting manipulation at least once on 81% of attempts; when successful on the first try, it can then go on to repeat that manipulation 1–7 times; and for an error of ±2 mm in any direction on the table, it can still successfully complete that manipulation at least once on 77% of attempts.
Conclusion
Grasping and dexterous manipulation rank among the principal grand challenges in robotics. Proposed solutions are typically complex robot hands that take inspiration from the human hand, often with nine or more independent DOF. Greater than 100 different robot hand designs have been proposed by researchers in the past 40 years,32–34 and great strides have been made in grasping, but the achievement of human-level manipulation by robots has remained elusive. In Table 2, we compare the performance of the JamHand with the reported performance of some of the most well-known robot hands in the literature to illuminate the state of the art in robotic dexterous manipulation.
Only actuators are counted, simpler activators 65 are addressed with footnotes.
Inferred where possible: (1) regrasping, (2) in-hand manipulation, (3) finger gaiting, (4) pivoting, (5) rolling, (6) sliding.
Plus two three-position valves.
20 motors or 40 air muscles.
Plus separately controlled brakes at each joint.
DOF, degrees of freedom.
The survey in Table 2 is by no means exhaustive. Among the many robot hands that have been proposed in the literature, the focus of their accompanying publications has most often been on the design, manufacturing, and control strategies that are implemented in the given prototype. Relatively few papers present quantitative performance data, and often, terms like dexterous manipulation are often used liberally or are simply assumed without explicit demonstration. Most of these robot hands are singular prototypes produced for research purposes and cannot be obtained for further testing. Therefore, in Table 2, the columns indicating achieved grasps and manipulations were inferred, where possible, if they could not be found specifically reported. It is our hope that this article's quantitative, performance-centric approach to comparing the state of the art will help provide some new benchmarks for future work in this field.
The focus of this article is on achieving dexterous manipulation with minimal actuation. Few existing hands have been designed for the same goal. Therefore, other evaluation metrics (e.g., grasp force/strength, grasp size, speed, robustness, etc.), had they been of interest to this discussion, could have painted a different picture in Table 2. Likewise, we also recognize that there are many tasks that other hands may be able to perform that the JamHand cannot, and these capabilities may not be considered in an analysis dealing with only hand complexity and dexterous manipulation. It is clear, though, that the JamHand represents a significant step forward in the pursuit of low-complexity dexterous robotic manipulation. Although the JamHand is ill suited for manipulation tasks that are designed specifically around the human hand, such as operating a hand drill or typing on a keyboard, its simple design and wide range of capabilities indicate that leveraging the phase transition of granular materials is a viable technique for reducing the hand complexity required for performing daily tasks. It has long been predicted that artificial hands and the tools they use may undergo coevolution to their mutual benefit, 35 much as we have seen with human hands and our modern tools. 10 High-functioning non-anthropomorphic designs that are easy to implement are a first step toward achieving this goal.
Footnotes
Acknowledgments
This work has been financially supported, in part, by an NSF Graduate Research Fellowship, and by NSF Grant EFRI 0735953. The content of this article is solely the responsibility of the authors and does not necessarily represent the official views of any of the sponsoring organizations.
Author Disclosure Statement
No competing financial interests exist.
References
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