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Cobot withPrismatic Compliant Joint Intended for Doppler Sonography
Juan Sandoval 1,*, MedAmine Laribi 1, Saïd Zeghloul1, Marc Arsicault 1 and Jean-Michel Guilhem 2
1 Department of GMSC, PprimeInstitute, CNRS, ENSMA, University of Poitiers, UPR 3346 Poitiers, France;med.amine.laribi@univ-poitiers.fr (M.A.L.); said.zeghloul@univ-poitiers.fr(S.Z.); marc.arsicault@univ-poitiers.fr (M.A.)
2 Private Practice, 4 rue deCoumasaout, Foix, 09000 Toulouse, France; jean-michel.guilhem@orange.fr
* Correspondence:juan.sebastian.sandoval.arevalo@univ-poitiers.fr; Tel.: +33-5-4949-6538
Received: 31January 2020; Accepted: 12 March 2020; Published: 16 March 2020
Abstract: This paper deals with acollaborative robot, i.e., cobot, coupled with a new prismatic compliant joint(PCJ) at its end-effector. The proposed collaborative solution is intended forDoppler sonography to prevent musculoskeletal disorders issues. On one hand,the Doppler sonographer’s postures are investigated based on motion capture useduring the arteries examination. This study highlighted that configurationsadopted by angiologists lead to the musculoskeletal disorder. On the otherhand, the proposed PCJ with variable stiffness gives an intrinsic compliance tothe cobot handling the probe. This feature allows preserving the human safetywhen both human and cobot share a common workspace. The effectiveness of theproposed solution is experimentally validated through a 7-DoF Franka Emikarobot virtually coupled with the PCJ, during the execution of a trajectoryperformed during a Doppler ultrasound exam. The impact force criterion isconsidered as a safety performance.
Keywords: intrinsic compliance; variablestiffness mechanism; safe human–robot interaction; cobot; doppler sonography;motion capture
1. Introduction
The use of collaborative robots, i.e.,cobots, emerges as a solution to improve the task execution of those taskswhere human is required. The cobots can coexist with humans in a shared commonworkspace and cooperate with them to accomplish the desired tasks. While arobot can magnify the human capabilities, such as its force, speed orprecision, a human can bring a global knowledge and his experience to jointlyexecute the tasks [1].
The ultrasound scan is a noninvasivemedical technique that creates in real time a two- or three-dimensional imageof organs using high-frequency sound waves reflection. It has become a key ofmedical decision-making. The Doppler echography is an ultrasound technique usedto evaluate blood flow through arteries and veins (mainly used for abdomen,legs, arms, neck exams). It is widely used to detect blockages to blood flow(clots), narrowing of vessels, tumors, and vascular malformations. During theultrasound examination, the sonographer handles the transducer (ultrasoundprobe) and carries out the investigation by moving the probe over the patient’sbody. At the same time, the operator monitors the ultrasound station and uses akeyboard to access the software facilities in order to control the image.Several studies conducted in the past decade have highlighted work-relatedmusculoskeletal disorders (WRMD) and repetitive stress injury (RSI) amongsonographers with almost
80% of them suffering ofthose problems. Static and uncomfortable postures are main causes of thoseWRMD, which can lead to pain, sickness, as well as long-term di****lity [2–6].
Robotics 2020,9, 14; doi:10.3390/robotics9010014 http://www.mdpi.com/journal/robotics
Multiple tele-operated solutions have beendeveloped in the past with the aim of providing medical facilities togeographically isolated patients [7–14]. The robotized ultrasound system, using a master-slavearchitecture, constitute a solution to this issue. The master interface isoperated by the sonographer who remotely controls the probe located on theslave robot [7–9]. In the main cases of teleoperation approach, the ultrasound probeis positioned by a robot, with the operator, the robot controller, and anultrasound image processor having shared control over its motion [10–12]. Nowadays, one ofthe commercial solutions has been developed with the aim of reducing WRMD andRSI: Medirob Ergo. This solution, used for cardiac sonography, is based on a6-degrees-of-freedom (DoF) serial robot that moves the ultrasound probe. Theexpert remotely controls the robot using a 3D mouse (generally used for CAD) withoutany haptic feedback on the force applied on the patient. More recently, a softrobotic ultrasound imaging system is used to improve sonographers ergonomics [12] and a bespokerobotic ultrasound manipulator has been designed to ensure the patient’s safety[13].
In this paper, a new solution is developedconsisting of a tele-operated ultrasound solution for Doppler echographyequipped with a collaborative robot as slave and haptic device as masterinterface.
Based on the standard ISO/TS 15066published in 2016 for collaborative robots, safety is the most important issueto guarantee before establishing collaborative tasks between human and robot,where a high risk of collisions between them is palpable and may result inhuman damages. In this context, research efforts are focused on the design ofsolutions to reduce the energy transferred by the robot in case of collision,decreasing the risk of injury for the human [15]. On this way, some basicsolutions have been proposed. For instance, Park et al. introduced the use of aviscoelastic covering in the robot’s body to reduce the impact forces [16]. Fritzsche et al.proposed monitoring the contact forces by providing the robot’s body with atactile sensor used as an artificial skin [17]. Furthermore, several controlapproaches have been proposed to provide the robot with a compliant behaviorwhile it executes a task. These compliant control strategies typically make itpossible to assign a dynamic relationship between the robot and theenvironment, enabling the interaction behavior to be con-trolled by properlyselecting the dynamic parameters [18]. On the other hand, mechanical solutions have also been proposedto provide an intrinsic compliance to the robot, as the one proposed by Wang etal. [13]based on the use of customized spring-loaded ball clutch joint. These solutionsare highly recommended by the standard ISO/TS 15066 as a risk reductionmeasure. Among these compliant mechanisms, the variable stiffness actuators(VSA) allow introducing an intrinsic compliance to the robot joints [19]. These mechanismsare capable of providing adjustable stiffness to the joints, which can beadjusted according to the needs.
The SISCob (Safety Intelligent Sensor forCobot) project, funded by the French National Research
Agency (ANR), aims at developing a newintelligent and modular device mimicking the functions of biologicalarticulations and their synergy for collaborative robots. On this context, anovel safety prismatic compliant joint (PCJ) with variable stiffness has beendeveloped and its behavior in a cobot is presented in this paper. Differenthuman safety criteria are proposed to study the effectiveness of a compliantmechanism, such as the head injury criterion (HIC) [20] or the head impact power(HIP) criterion [21]. In robotics, other safety criteria can also be employed, such asthe measures of robot displacements, e.g., velocities or accelerations, and themeasure of the impact force.
The paper is organized as follows. Section 2 introduces therobot-assisted Doppler sonography. We firstly present the medical gesture studyphase of the sonographer thanks to the motion capture system. The protocolsetup, as well as experimental results are also detailed in the second part ofthis section. The interactions with the patient during echo-Doppler examinationis investigated through effort measurement. In Section 3, we present the structure, aswell as the kinematic model of the PCJ. Curves obtained from both the simulationmodel and the prototype of the PCJ are presented. In Section 4, we describe thedynamic model of a torque-controlled robot coupled with the proposed compliantmechanism, as well as the control approach implemented to execute cartesiantasks. A case study allowing to compare the safety performance of a rigid-bodyrobot vs. a robot using the PCJ is presented in Section 5. Conclusions aboutthe effectiveness of the proposed mechanism in terms of human safety areprovided in the last section.
2. Robot-Assisted Doppler Sonography2.1. Gesture Analysis during Echo-Doppler Examinations
The sonography’s gesture analysis has beenperformed by an angiologist during Doppler ultrasound examinations on realpatients in the same conditions as in medical office. Hence, multiple organshave been scanned: Carotid, legs, and abdomen. The experimental analysis wasmade using a motion capture system (Qualisys) and has been repeated severaltimes. The system uses a set of high-resolution cameras to detect reflectivemarkers to study angiologist gestures (Figure 1). The software Qualisys trackmanager (QTM) allowing us to record, visualize, construct, and export the 3Dposition of each marker has been used. Then, we have recorded the motions ofmarkers while they were making real ultrasound examinations. The frequency ofmotion acquisitions was fixed to a hundred images per second. Our motioncapture method is based on the experience of the biomechanics communityespecially for the choice of marker sets and segment reference definition [22]. Using QTMsoftware, we have been able to reconstruct each motion by regrouping markersinto
“segments” as shown inFigure 1.A segment is defined as a set of markers of the same solid. One of thesesegments is a representation of the ultrasound probe.

Figure 1. Motion capture during sonographyexamination: (Left): Markers locations on angiologist, (right) carotid and legexaminations with the probe reconstruction model with segments.
Multiplereflectivemarkershavebeenplacedontheultrasoundprobe,aswellasontheangiologist’s body to evaluate the positions and orientationsduring the examinations (Figure 2).

Figure 2. Reflectivemarkers on probe.
Based only on posture observations, theexpert is far away from its neutral positions and out of their joint comfortzone. In addition, the gesture during the sonography examinations can bedescribed to be repetitive. All these observations approve the uncomfortablepostures that could cause musculoskeletal disorders.
The gesture analysis using motion capturewill approve the musculoskeletal disorders issue. This study is focused oncompute of the member orientations of the angiologist and mainly the right arm,the pelvis, and the head.
The maximum values of the joint orientationangles are considered, which corresponds to the worst postures. These jointangles are compared to reference angles of comfort zone defined in ISO 11226,ISO 11228-3, and NF EN 1005-4 norms. A sample data on a head rotation and anarm motion are given on Figure 3. These values, joint angles for the neck torsion, and wrist joint,show that the angiologist is all the time out of the comfort zone described bythe norms.

Figure 3. Necktorsion (left) and wrist joint angle (right).
In addition to the gesture, the interactionforce between the probe and the skin has been studied. The forces applied onthe probe during an examination have been evaluated using force sensitiveresistors (FSR) installed on shell, composed of two parts: A fixed one and amoving one, surrounding the probe (Figure 4). One part of the shell istightened to the probe body (no motion allowed). The other part encapsulatesthe probe with a small gap (filled with low-density foam), which allows smallmovements between the two parts. Two FSR sensors are installed between fixedand moving shell in order to evaluate forces applied by the angiologist ontothe patient. The shells have been designed to match the shape of the probeallowing the expert to manipulate it with a similar grasp as the classic probe.

Figure 4. Instrumentedprobe—Force measurement.
The applied force is maximum duringabdominal examination. Indeed, the angiologist has to apply a large force tofind abdominal aorta. Figure 5 shows force measurement during the aorta investigation. The forceapplied depends on the patient, more force is needed to find abdominal aorta ona fat patient, with a large stomach. These patients are those who usually needDoppler examination.

Figure 5. Appliedforce during abdominal examination.
As an outcome of this section, one canconclude that the posture of angiologist experts, studied during a classicalDoppler ultrasound exam by using a motion capture system, are out of comfortzones. The angiologist needs also to apply large forces on the probe in contactwith patient skin. These static postures, out of comfort zones, foster theoccurrence of musculoskeletal disorders.
In the next section, a tele-operated systemis proposed to assist the angiologist in order to prevent and alleviate theseinconveniences.
2.2. Teleoperated System for Doppler Sonography
The robotics team of Prime Institutedevelops teleoperation platforms based on collaborative robots. These platformsare mainly developed for medical applications, such as Doppler sonography orsurgical applications [23].
The tele-operated system for Dopplersonography is composed of slave station and a master station (Figure 6). The master stationconsists of a 6-DoF haptic device composed of a Novint Falcon interface linkedto a virtual probe instrumented with an inertial measurement unit. The slavestation consists of a 7-DoF collaborative robot, i.e., a Franka Emika. This isa torque-controlled collaborative robot including a torque sensor on each jointand whose maximum payload is 3 kg. The slave robot handles an ultrasound probe,linked to a Doppler sonography station. The master device controls motions ofthe slave robot and gives haptic feedback to the angiologist. ROS-basedframework is used to establish the data exchanges between the master device andthe robot.

Figure 6. (a) Tele-operation chain using a6-degrees-of-freedom (DoF) master device and a 7-DoF collaborative slave robot;(b) Doppler ultrasound testperformed by the angiologist using the tele-operation platform.
The proposed master device increases thethree translational DoF of a classic commercial Falcon interface by attaching avirtual probe to the end-effector using a universal joint. The virtual probe,called holder, includes an inertial measurement unit (IMU) allowing to computethe three DoF of rotation. This modification allows making a 6-DoF device withhaptic feedback along the translational axes.
The slave device is a Franka Emika with7-DoF torque-controlled robot useful to coexist with human in a shared commonworkspace.


IP属地:上海1楼2021-05-05 23:51回复
    3. Prismatic Compliant JointMechanism
    The prismatic compliant joint mechanism(PCJ) proposed in this paper provides the particularity of a nonlinear variablestiffness behavior. The PCJ results from the association of a linear springwith poly-articulated planar mechanism [24]. Different stiffnessbehaviors can be performed by compliant mechanisms, where the elastic storedenergy is the area below the torque curve. Figure 7 compares the behavior of thePCJ with other existing compliant mechanisms.

    Figure 7. Stiffnesscurves for different compliant mechanisms. A linear curve (a) has a constant stiffness. A progressive curve (b) has a higher stiffness at smalldeflections and a limited torque. A progressive curve (c) has a higher stiffness at small deflections and a maximum highertorque than the linear curve.
    3.1. Prismatic Compliant Joint (PCJ) Architecture
    The architecture of the PCJ is shown inFigure 8.One observes the six-bar mechanism and a linear spring mounted between jointaxis A and B.

    Figure 8. Prismaticcompliant joint (PCJ) architecture: Six-bar mechanism with a linear spring.
    When a unidirectional force acts on link 5(Slider), an appropriate force is requested as a consequence on link 1 tostatically balance the mechanism. The link 1 will rotate around the joint axis,O, leading to the linear spring deformation and to a variable stiffnessbehavior in a nonlinear way. The six-bar mechanism is defined by its geometricparameters and variables which will be used in the mathematical definition of therelationships between the input and output [24]. The PCJ is defined by itsdesign vector, I = [l0, l1, l2, l3,a4, x5, d4,k].
    3.2. Prismatic Compliant Joint (PCJ) Mechanical Model
    The mechanical model of the PCJ is given,from one side by the external force Feapplied to the
    PCJ whose equation isdescribed in terms of the variable angles and the other geometric parameters.On the other side, this mechanical behavior is derived from the Hunt-Crossley(HC) model [25]. The mathematical formulation of the elastic behavior is given bythe following equations:
    ( 0, ∆Xm = 0
    Fe = A(∆Xm)n +Fc, ∆Xm > 0 (1)
    where ∆Xm: PCJ deflection. A≥ 0 and n ≥ 1 constant parameters.
    The corresponding graphical representationof the external force is depicted in Figure 9, with a force threshold Fc to be reached beforedeformation takes place. The value of the force threshold is to be defined bythe user. The corresponding apparent stiffness of the whole system, Km, is defined by thefollowing equation:
    dFe ∆Xm)n−1, ∆Xm≥ 0 (2) Km = = nA( d(∆Xm)

    Figure 9. Thenonlinear elastic behavior of the PCJ’s general characteristic.
    The numerical values of constants A and nare computed to guarantee a safe physical human–robot interaction, by adoptinga biomimetic behavior in terms of force-deformation characteristic. The values A =6.444e5 andn =2.987 are determined for Fc = 0.5 N, more details are given in [25].
    The design vector, including the geometricparameters of the PCJ are given in Table 1. These numerical valuesrepresent the optimal solution of dimensional synthesis approach and in termsof the objective function based on biomimetic response [26].
    Table 1. Optimalsolution of the PCJ.
    l0 [mm] l1 [mm] l2 [mm] l3 [mm] a4 [mm] x5 [mm] d4 [mm] k [N/mm]
    I570 400 400 400 400 250 390 2.4


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      2026-08-28 03:12:46
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      4. Dynamic Modeling of a Multi-DoF RobotUsing the PCJ
      In order to model the behavior of the PCJwhen implemented in collaborative robots, the dynamic model of a serialrigid-body robot is modified in the following to include the dynamic behaviorof the PCJ. Therefore, we first present the well-known dynamic model of arigid-body v-DoF serial manipulatorin joint-space coordinates, represented by the following equation:
      .. . .
      M(qi)qi+ C qi, qi qi + g(qi) = Tq+ Text (3)
      The vector qi ∈ <v contains thelink-side joint positions, M(qi) ∈ <v×w is theinertia matrix, the
      . . v represents the generalizedcentrifugal and Coriolis effects, and the vector g(qi)∈
      vector C qi, qi qi∈ <
      <v comprises thegeneralized gravitational torques. Finally, Tq∈ <v and Text ∈ <v are the link-sidejoint torques vector and the external torques vector acting on the robot,respectively.
      Since the PCJ mechanism is attached to therobot’s end-effector, we can simplify the overall dynamic model by decouplingits behavior from the one of the robot’s task-space, such as a pure passivecompliant end-effector. As explained in Section 2.2, the robot executes acartesian desired trajectory represented by Xd∈ <v, where v = 6 correspondsto the dimension of the 3D trajectory. Then, a PD controller with gravitycompensation [27] can be defined to control the cartesian following-trajectory task,as follows:
      h .i
      Tq =JT Kpx(Xd − Xi)− KdxXi − N(qi)ξ+ gˆ(qi, ∆Xm) (4)
      A proper selection of the constant values Kpx and Kdx allows preserving the passivity of the closed-loopsystem. Since a 7-DoF robot is used for the Doppler sonography application, athird term is added to the control equation to exploit its kinematic redundancy,i.e., v > w, where J(qi) ∈ <w×v is theJacobian matrix and N(qi) = I −JTJ+T is a null-space projector.Therefore, the degree of redundancy can be used to extremize an objectivefunction ξ. Since the center of mass of the PCJ varies with its deformation,the parameter ∆Xm isincluded in Equation (4) to effectively compensate its mass, as shown in theblock diagram of Figure 10.

      Figure 10. Blockdiagram representing the cartesian control architecture for a multi-DoF robotwith a PCJ attached to the end-effector.


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        5. Study Case
        A study case is presented in this sectionin order to evaluate the safety performance of the PCJ when used by a multi-DoFcollaborative robot. The 7-DoF Franka Emika robot has been used to evaluate thebehavior of the robot when coupling the PCJ at its end-effector. Therefore, themodel of the PCJ has been virtually implemented in the robot’s controller.
        We propose executing a 3D Cartesiantrajectory Xd(t) while keeping a fixed orientation, so thatthe end-effector’s tool is kept upright. This trajectory is typically executedat the beginning of an ultrasound test to contact with the patient’s body. Thislast one has been represented by a compliant foam. During the execution of thetrajectory, along the vertical z-axis,the patient’s body interferes with the desired robot’s trajectory generating aphysical contact. Figure 11 illustrates the proposed
        study case.

        Figure 11. Study case: A Franka Emika robotwith a PCJ attached at its end-effector executes a three-dimensional (3D)trajectory to get in contact with the patient’s body.
        According to the control law of Equation(4), we defined the PD constant parameters as follows:
        Kpx = diag{800, 800, 800, 60, 60, 60} N/m and Kdx = diag{56, 56, 56, 15, 15, 15} Ns/m, respectively. The objective functionwas used to stabilize the internal motion by minimizing the joint velocities,
        . as follows: ξ = −0.1qi.
        We compare the behavior of the robot in twodifferent compliance configurations: For a rigid-body robot case and when usingthe PCJ. Due to the slow velocities executed on these examinations, around 0.15m/s, HIC (head injury criterion) and HIP (head impact power) are not the mostsuitable criteria to evaluate the safety performance of the robot. Instead, wepropose comparing the interaction forces induced for the two configurations.

        Figure 12 (top) shows the currentposition signals on the z-axis, aswell as the interaction forces generated by the collision between the robot’send-effector and the patient’s body. In the lack of the PCJ, the robot behavesas a rigid-body system (RIGID) and the control approach forces to follow thedesired trajectory along the z-axis,i.e., zd, by increasingthe interaction force, as shown in the bottom of Figure 12. Nevertheless, whenusing the PCJ mechanism, the desired trajectory is not completely followed fromthe starting collision time, since the compliance of the PCJ behaves, reducingthe interaction forces. The magnitude of this interaction force represents asafety index, where a lower force magnitude indicates a more human-friendlybehavior. It is evidenced that the impact force Fext has significantly decreased when using the PCJ,providing a safer performance to the robotic system.
        Figure 12. Current position along the z-axis (top) and measured impact force Fext (bottom) for the twoconfigurations: Rigid-body case and when adding the PCJ.
        Although the external efforts producedduring the physical contact are supported by the whole joints, the torquemagnitudes produced by joint 4 are particularly significant due to the robotconfiguration, as we present in

        Figure 13. We can verify that the torqueapplied by joint 4 has significantly been reduced when using the PCJ, whichmeans that the impact energy has been absorbed by the PCJ.
        Figure 13. Link-side torque signals Tq produced by joint 4 forthe two configurations: Rigid-body and when using the PCJ.
        6. Conclusions
        In this paper, a new tele-operated roboticsystem, using a cobot coupled with a new prismatic compliant joint (PCJ) at itsend-effector, has been proposed to prevent musculoskeletal disorders duringDoppler sonography examinations. The posture of angiologist experts have beenstudied during classical Doppler ultrasound exams (carotids, legs, and abdomenexams) by using a motion capture system. The results have evidenced that, mostof the time, the expert performs his work out of a comfort zone, as confirmedby the literature.
        The proposed PCJ with variable stiffnessgives an intrinsic compliance to the cobot holding the ultrasound probe. Thisfeature allows preserving the human safety when both the human and cobot sharea common workspace. The effectiveness of the proposed solution has beenvalidated through a 7-DoF Franka Emika robot virtually coupled to the PCJ,during the execution of a trajectory performed during an ultrasound exam. Theimpact force criterion has been considered as a safety performance index, whenan unexpected contact occurs with the patient’s body, represented by acompliant fixture. It has been evidenced that the use of the PCJ helps reducethe impact force during the contact with the patient’s body, by improving thesafety performance of the robotized platform.
        Author Contributions: J.S. andM.A.L. have designed the experiments and co-wrote the paper; J.-M.G. is thespecialist who has performed the Doppler ultrasound exams and has validated theplatform; the research work has been supervised by M.A. and S.Z. All authorshave read and agreed to the published version of the manuscript.
        Funding: This research was funded by theFrench National Research Agency, convention ANR-14-CE27-0016, under the ANRproject SISCob “Safety Intelligent Sensor for Cobots”. This research was alsosupported by the French region “Nouvelle-Aquitaine” (program HABISAN 2015-2020)with the financial participation of the European Union (FEDER/ERDF, EuropeanRegional Development Fund).
        Acknowledgments: This work was sponsored by theFrench government research program Investissementsd’avenir through the Robotex Equipment of Excellence (ANR-10-EQPX-44). Theexperimentations presented in Section 5 havebeen carried out with help from the Anatomy and Biomechanical Simulation Lab(ABS Lab) of the Faculty of Medicine and Pharmacy of the University ofPoitiers.
        Conflicts of Interest: The authorsdeclare no conflict of interest.
        References
        © 2020 bythe authors. Licensee MDPI, Basel, Switzerland. This article is an open accessarticle distributed under the terms and conditions of the Creative CommonsAttribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).


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