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    Research article

    Design and fabrication of magnetic couplings

    in vacuum robotsPinkuan Liu, Yulin Wang and Jun Wu

    State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering,Shanghai Jiao Tong University, Shanghai, China

    AbstractPurpose The purpose of this paper is to discuss the design and fabrication of magnetic couplings to use for vacuum robots. The permanent magneticcoupling (PMC) is appropriate for torque transmission in ultrahigh vacuum and highly clean environments. However, conventional structures of PMC arealways unsuitable to use for vacuum robots.Design/methodology/approach Two types of design scheme for radial magnetic couplings are introduced and compared. The major characteristicof the novel design scheme is that the inner part uses a nonmagnetic mantle to enclose the magnets and yoke, and the outer part uses two end closuresto position magnets. The locating groove on the end closure may be manufactured as T-shape or dovetail shape.

    Findings The 3D finite element analysis simulation results and experimental studies have demonstrated that the proposed Design B had a lowercontamination rate and a higher transmission efficiency than the Design A.Research limitations/implications The limitation of the research to date is that issues of control, path-planning, and communication have not yetbeen addressed.Practical implications The proposed PMC is successfully applied in vacuum robots which uses combined direct drive techniques and magnetictransmit techniques.Originality/value These results suggest that the proposed PMC is suitable for using in vacuum robots.

    Keywords Robotics, Magnetism, Power transmission systems

    Paper type Research paper

    1. IntroductionPermanent magnetic couplings (PMC) are device that

    transmitting torque through magnetic force with no

    mechanical contact from a primary drive to a secondary

    follower. In particular, it is very appropriate for torque

    transmission in ultrahigh vacuum, highly clean, hazardous or

    corrosive environments, and has been widely used in the fields

    of industriy and defense. The PMCs as critical component are

    increasingly used in much of developing vacuum robot for

    wafer handling related to the field of semiconductor. It is

    desirable for transmitting torque or rotary motion from the

    atmosphere to the vacuum environment. The wafer holder

    arms of vacuum robot, which operate in the reaction

    chamber, are magnetically coupled to a directly driving motor

    outside of the vacuum area. For example, in ultrahigh vacuum,a coaxial drive mechanism is incorporated to the design of a

    compact wafer-transfer robot, in which multiple sets of

    magnetic couplings with different configurations are

    simultaneously used to couple different axes, a non-magnetic

    vacuum partition wall separates the inner and outer rotor to

    maintain the high vacuum from atmosphere environment.

    Synchronours-type couplings among different types of

    PMC can transmit higher torque than others for identical

    volum e of m agnetic m aterials. On the basis of the

    configuration, these types of couplings can be further

    categorized into radial, axial and mixed-type couplings. The

    axial-type couplings usually generate considerable axial force,

    for example attractive or repulsive force, therefore, they are

    only suitable to transmit lower torque. However, they possess

    an advantage of easy adjustment of the air gap. On the other

    hand, the radial-type couplings can transmit higher torque

    level by simply increasing the length of the two concentric

    coupling members or increasing the amount of pole-pairs by

    augmenting the diameter of couplings. The radial-type

    couplings are desirable for application in wafer-transfer

    robot. This type of PMC consists of outer and inner rotors,

    the outer rotor has permanent magnets of changing polarity

    on the inner side and the inner rotor has them on the outside.

    The north and south poles of the rotors are opposite to eachThe current issue and full text archive of this journal is available atwww.emeraldinsight.com/0143-991X.htm

    Industrial Robot: An International Journal

    36/3 (2009) 230237

    q Emerald Group Publishing Limited [ISSN 0143-991X]

    [DOI 10.1108/01439910910950487]

    This paper is an updated and revised version of the paper originallypresented at 2008 International Conference on Intelligent Robotics andApplications (2008 ICIRA), Wuhan, China, October 15-17, 2008. Thiswork was supported in part by the Science & Technology Commission ofShanghai Municipality under Grant 07PJ14051 and 071111008.

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    other, the magnetic field is completely symmetric in non-

    operative state. When the rotors are twisted over a torsion

    angle, the magnetic field line are moved, hence the torque is

    transmitted from primary shaft to follower one through the

    air gap.

    However, conventional PMC are always unsuitable for

    vacuum robot because that the robot needs the PMC run in

    vacuum environment with an extremely low-contaminationrate and high reliability. It is essential to present some more

    feasible designs applied in vacuum condition with pressure

    range from 1025 to 1027 Pa. Some considerations related

    design and fabrication are involved to suit high vacuum and

    ultrahigh vacuum application requirement.

    Angular stiffness, synchronous rotary accuracy and air gap

    are of key specifications for design of PMCs. First, angular

    stiffness depends on the maximal coupling torque of the

    PMC. If maximum coupling torque is exceeded, the power

    transmission is interrupted. The synchronous rotary accuracy

    is predominately related to quantity of the minimal torsion

    angle. The air gap is determined by the thickness of the

    vacuum barrier.

    Various methods to analyze the transmitted torque of

    magnetic couplings have been employed, mainly including

    analytical methods (Yao et al., 1995) and finite element

    analysis (FEA) methods (Wu et al., 1997). The 3D FEA has

    been shown to be a powerful and effective tool for the analysis

    and design of synchronous magnetic couplings, taking the

    end-leakage effects into account (Wang et al., 2008).

    In order to decrease the contamination rate and increase

    the reliability, two types of design of radial magnetic couplings

    were proposed in this paper. The first type denoted as Design

    A has two configurations including first one used screw to fix

    the magnets on the yokes and second one used mucilage to

    adhesive them. The second type denoted as Design B mainly

    include two characteristics: the inner rotor of PMC uses a

    nonmagnetic mantle to enclose the magnet blocks and the

    yoke which has several locating grooves; the outer rotor ofPMC has two end closures which have the T-shape groove or

    the dovetail shape to position magnets. The design and

    fabrication of two types of PMC are described and discussed.

    The Design A was then compared with the Design B base on

    their structural characteristics and fabrication. The

    simulations on above two types of design through the 3D

    FEA method were carried out. In order to verify the validity of

    simulations, a five degrees of freedom (DOF) measuring

    equipment for magnetic couplings was also built. The

    maximal coupling torques were measured. Results from

    FEA and testing were discussed and analyzed. In the end, the

    PMC of the proposed Design B was successfully applied in

    constructing a novel vacuum wafer transfer robot which used

    the combined direct drive motor and magnetic transmit

    technique.

    2. Design and fabrication on the PMC

    2.1 General description

    Design scheme in this paper focuses on the typical cylindrical

    couplings with iron yokes and magnets located separately

    without jointing with each other. The alternate magnetized

    poles were allocated circumferentially. The yokes with high

    permeability short-circuited the inner- and outer-magnet

    rings of the couplings to avoid magnetic leakage, thus

    improving the efficiency of torque transmission. In these

    designs, maximal coupling torque of the PMCs need be up to

    75 Nm, the air gap is defined as width of 5 mm so that it can

    allow sufficient thickness of the vacuum barrier to ensure its

    high stiffness and strength. The magnet material which was

    radially magnetized was of Nd-Fe-B with residual flux density

    denoted as Br of 1.19 T, and coercive force as Hc of 835.8 kA/

    m in the magnetized direction. In our designs, the sector-

    shaped magnets with same arc angle are suit to merge thecylindrical curvature, so that the couplings are capable of

    keeping uniformity of the air gap between the couplings and

    vacuum barrier. Similarly, the ratio of pole width to pole pitch

    denoted as a was set to be 0.72 (Hornreich and Shtrikman,

    1978) in order to obtain higher efficiency of magnetic

    material. Furthermore, yoke was made of steel ASTM 1045.

    The bulk conductivity denoted as k of yoke is 2,000,000 S/m,

    and the BH-curve of the relative permeability of yoke can be

    seen in Figure 1. The structure of yoke with enough thickness

    can carry the required flux without saturation. In these

    designs, the thickness of magnets was assumed to be equal for

    the inner rotor and the outer one of magnetic couplings.

    2.2 Design scheme I

    Two types of configuration for Design A were proposed. The

    first type through socket head screws to connect a set of

    magnets on the yoke as shown in Figure 2, of which

    Figure 2(a) is the photograph of the prototype, and

    Figure 2(b) is the schematic diagram of the design. From

    the figure, we can see that 14 magnets with sector-shaped

    were separately located on the inner and outer side at interval

    of constant angle. The second type used mucilage to adhesive

    them together, as shown in Figure 3, where Figure 3(a) is the

    photograph of the prototype, and Figure 3(b) is the schematic

    diagram of the design. The yoke of these two types both were

    machined locating grooves to position each magnet on the

    socket of yoke.

    In general, the countersunk hole was cut on the magnet and

    the threaded hole was machined on the iron for the type ofusing screws. However, the loss of torque will occur obviously,

    because that the countersunk hole decreased the volume of

    magnetic material. Besides, the screw would also change the

    distribution of magnetic field. Furthermore, overusing the

    screw may result in bringing containment and particles into

    vacuum and clean environment, then changing the pressure of

    vacuum environment.

    Though it was the most convenient approach to adhesive

    the magnet on the socket of the yoke with mucilage, the

    properties such as strength, elasticity and ductility of

    Figure 1 The BH-curve of the relative permeability of yoke

    Fluxdensity(T)

    Magnetic field strength (A/m)

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    50,000 50,000 1,00,000 1,50,000 2,00,000 2,50,000 3,00,000 3,50,0000

    Design and fabrication of magnetic couplings

    Pinkuan Liu, Yulin Wang and Jun Wu

    Industrial Robot: An International Journal

    Volume 36 Number 3 2009 230237

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    the adhesive layer are of critical issue. Since the magnetic

    coupling torque between inner and outer rotors was

    permanently remained while running, the vary load was

    exerted on the PMC, failure of strength will potentially occur

    in the adhesive layer. On the other hand, it was possible that

    the mucilage contaminated the vacuum environment.

    Therefore, the above two types of configuration of the

    PMCs were undesirable for using in constructing the vacuum

    robot. It was essential to design some more reasonablestructures for the special application.

    2.3 Design scheme B

    Two novel types of configuration for PMC were proposed in

    this design. In the improved configuration than Design A, the

    inner rotor of PMC used a cover made of un-conducted

    magnetic materials enclosing the magnets and yoke as shown

    in Figure 4. Rim of the cover mate to the flange of the yoke,

    then hold them together through screws. The yoke also had

    locating grooves to position each magnet on the socket of

    yoke, just was similar to the types of Design A. While using

    the insulation shell served as a reliable seal to separate the two

    coupling halves from two different medium environments, the

    cover will ensure a lower outgas rate and atom contaminationrate than the Design A.

    The outer rotor of PMC consists of upper- and lower-end

    caps, hollow cylinder and magnets. Two types of end caps are

    designed and fabricated. One of the end caps was machined

    into T-shaped grooves by EDM, other one of that was cut into

    dovetail groove. End caps with T-shaped or dovetail grooves

    were separately mounted on upper and lower flange of the

    hollow cylinder, and held tightly by screws. Grooves on

    upper- and lower-end caps were aligned, and then formed the

    locating grooves for retaining the magnet. Magnets were also

    adhesive on the yoke by mucilage in order to increase the

    fastener strength. The configuration of the PMC with

    T-shaped and dovetail groove are, respectively, shown in

    F igures 5 and 6 . T he above two figures depict the

    configuration of PMC, structure of outer rotor and end cap

    and shape of magnet in detail. The yoke was manufactured as

    cylinder-shaped without locating grooves.

    As we can see by comparing Figures 5 and 6, it was easier to

    fabricate magnets and end caps into dovetail shape than

    T-shape. However, it was more difficulty to mount the

    magnets into the dovetail groove than into the T-shape groove

    because of the tolerances of the positioning groove from

    machining and assembly. These two types of PMC from

    Design B both had a higher material utilization rate and a

    lower contamination rate than Design A with screw to fix, and

    had higher connection reliability than Design A with mucilage

    Figure 2 Design of the PMC using screws to fix magnets on yoke: (a) photograph of the prototype; (b) schematic diagram of the design

    Outer rotor

    N

    SS

    SS

    S

    SS

    S

    S

    N

    N

    N

    N

    N

    N

    N

    N

    Inner rotor

    (a) (b)

    Figure 3 Design of the PMC using mucilage to adhesive magnets onyoke: (a) photograph of the prototype; (b) schematic diagram of the

    design

    (a)

    (b)

    Outer rotor

    Outer rotor

    inner rotor

    inner rotor

    Figure 4 The inner rotor of configuration for PMC and the cover

    inner rotor

    cover

    Design and fabrication of magnetic couplings

    Pinkuan Liu, Yulin Wang and Jun Wu

    Industrial Robot: An International Journal

    Volume 36 Number 3 2009 230237

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    to adhesive. Therefore, these two novel types of the PMC

    were more suitable for using in constructing a vacuum robot.

    The photographs of two prototypes for Design B are shown in

    Figure 7.

    3. Analysis and experiment

    3.1 3D FEA simulation

    The 3D FEA module of Ansofts Maxwell 11 was employed

    in this study to simulate the PMC. Physical model mainly

    includes the outer rotor, inner rotor and air gap, therefore,

    the finite element (FE) model is built according to this

    physical model. The cross-section view of the PMC is shown

    in Figure 7. In which the label H represents for the thickness

    of magnet; the label R1 stands for the inner radius of inner

    magnetic coupling; the label R2 is denoted as outer radius of

    inner magnetic coupling; the label R3 stands for the inner

    radius of outer magnetic coupling; the label R4 stands for the

    outer radius of outer magnetic coupling; the label air_gap

    stands for the length of air gap; and the label L stands for theaxial length of PMC. From Figure 8, we can see that vacuum

    barrier, which is applied to separates the atmosphere and

    vacuum environment, was not modeled in this FE model

    because its permeability is close to air. Similarly, the thickness

    of yokes was assumed to be uniformity along radial direction.

    On the other hand, an area outside both upper and lower end

    of the PMCs was included to model the end-leakage effect.

    The width of the air layer considered in this model was set as

    about three times the magnetic thickness in order to meet the

    requirement of sufficient solving accuracy (Wu et al., 1997).

    Since the magnetic coupling was periodically symmetrical

    for each pole, the fractional FE models were established. The

    master and slave boundaries were applied in this paper, which

    can simplify model complexity. The magnetic field on theslave boundary was subjected to match the field on the master

    boundary. The magnitude of the magnetic field on both

    boundaries was equal. The fields on the two boundaries can

    either point in the same direction, or in opposite directions, as

    specified during the modeling process.

    The FE models from the PMCs with four types of

    configuration from the Designs A and B were, respectively,

    shown in Figure 9(a)-(d). The parameters used in FE

    simulation were listed in Table I. Four FE model were

    Figure 5 Configuration of PMC using T-shape groove

    PMC

    T-shaped end cap

    outer rotor

    T-shaped magnet

    Figure 6 Configuration of PMC using dovetail groove

    PMC

    outer rotor

    dovetail end cap

    dovetail magnet

    Figure 7 The photograph of two prototypes of the PMC

    outer rotor

    inner rotor

    PMC Dovetail shape

    T shape

    Figure 8 The cross-section view of PMC

    R2 H

    H

    L

    R1

    R3

    R4 air_gap

    Design and fabrication of magnetic couplings

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    Industrial Robot: An International Journal

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    analyzed in order to compute thecouplingtorques of thePMCs.

    The first model was Design A with screws fixing, the second

    model was also Design A using mucilage to adhesive only, and

    the third model was Design B with the T-shape groove and the

    last model from DesignB used thedovetailgroove. Thematerial

    of the end caps for the last two models was aluminum. The

    results of each model, which were maximal coupling torque of

    PMC, were summarized in Table II in next subsection. The

    maximal torque is yielded when the twisted angle is half-a-pole

    pitch (Huang et al., 2001).

    3.2 Experimental set-up

    The experimental set-up in order to measure the static

    coupling torques of PMCs was established as shown in

    Figure 10. The Z-positioning stage 1 is vertically mounted on

    the base 3, and the Z-stage driven and operated by manual, its

    stroke can be up to 250 mm in z-direction. The X-Y

    positioning stage 2 is stacked on the moving table of the

    Z-stage 1, this stage 2 with precision leadscrew and linear

    ball bearing can provide linear motion of 25 mm, respectively,

    in x- and y-direction. The inner rotor of the PMC 5 is

    connected coaxially to shaft of the torque sensor, 4 by mean

    of mechanical coupler. The torque sensor is vertically

    mounted on the angle bracket, which is fastened to the

    moving table of the X-Y positioning stage 2 by mean of a

    Figure 9 FE model of the PMCs: (a) FE model with screw fixing; (b) FE model using mucilage to adhesive; (c) FE model with the T-shape groove;(d) FE model with the dovetail groove

    (a) (b)

    (c) (d)

    xz

    z

    z

    y

    y

    y

    y

    z

    Table I Parameters used in FE analysis

    Design A Design B

    Screws

    fixing

    Mucilage

    fixing

    T-shape

    groove

    Dovetail

    groove

    Air_gap (mm) 5

    Br (T) 1.19

    Hc (KA/m) 835.8

    a 0.72k (S/m) 2,000,000

    R2 (mm) 40 66 41 66

    H (mm) 7 5 6 6

    L (mm) 48 30 50 26

    n 14 12 12 12

    Design and fabrication of magnetic couplings

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    screw connection. uz, ux positioning stage 6, which can rotate

    range from 0 to 3608 about z-axis and from 0 to 58 about

    x-axis, respectively. The outer rotor of the PMC 5 is fastened

    to the chuck of the stage 6 by mean of a flange adapter. The

    torque sensor 4 used in this experiment is the ORT-803 type,

    and the controller of torque meter 7 is the TN-2 type of theOriental Technology Company. The A/D acquisition card is

    the ADLINK PCI-9221, which is a 16-bit high-resolution

    multi-function data acquisition (DAQ) card, with 16-channel

    single terminal or eight-channel differential input capable of

    up to 250kS/s sampling rate. The schematic diagram of the

    working principle of the experiment set-up is shown in

    Figure 11.

    The coaxiality between the inner and the outer rotor of the

    PMC can be set by the X-Y positioning stage; the coupling

    length between the inner and the outer rotor in axial direction

    can be adjusted by the Z-positioning stage; the slope angle of

    the outer rotor can be regulated by the ux positioning stage;

    while the torsional angle is implemented by the uz positioning

    stage. The maximal torque can be measured when the

    torsional angle was half-a-pole pitch.The torque value measured is output as frequency signal

    range from 5 to 15 kHz by mean of the torque sensor, and

    then it was translated to the analog voltage signal range from

    25 to 5 V by the torque sensor amplifier. Finally, the 16-bit

    high-resolution DAQ card was used to convert the analog

    voltage positional to digital signals range from 0 to 100 Nm.

    3.3 Results and discussion

    The testing results from four types of PMC are summarized

    and compared with the results from FE simulation in Table II,

    and the following conclusions can be drawn:

    .

    The error between these two methods is less than3 percent, which shows that the 3D FEA has a high

    accuracy.. The method of using screws to fix will decrease the

    maximal torque of PMC obviously. The countersunk hole

    on the magnet made the volume of magnet block

    decrease about 5 percent in the example of this paper,

    and the screw also changed the distribution of magnetic

    field. The result showed that the maximal torque

    decreased about 15 percent compared with other models.

    In order to discuss the influence of the deviation length

    between the inner and the outer rotor in axial direction, and

    the slope angle of the outer rotor, the prototype for T-shape

    groove of PMC from Design B was taken as an experiment

    example. In Figure 12, the deviation length was set as fourcases, which is 0, 5, 15 and 25mm. When the deviation

    length changed less than 5 mm in this case, its influence is

    small. However, when the deviation length changed more

    than 10 mm in this case, the maximal torque and the stiffness

    of PMC decreased greatly. Furthermore, the slope angle of

    the outer rotor has little influence on the transmitted torque of

    PMC when the slope angle changed from 0 to 28 (Figure 13).

    4. Application for constructing vacuum robots

    The shafting of vacuum robot was designed which combined

    used the rotary direct drive technique and the magnetic force

    transmission technique. With a direct drive motor system, it is

    no need for mechanical linkage (gearbox, belt, etc.) between

    the payload and the motor. Thus, it does not exit the

    backlash, clearance, friction, or elasticity problems. This

    makes for a much stiffer and more easily controlled system.

    Furthermore, the direct drive solution reduces the number of

    components, simplifies assembly and thus reduces the overall

    cost of the system. All this increase the dynamic performance

    and precision of the system, and help to create a cleaner robot

    with lower particulate contamination. The partial cross-

    section view of a drive section of the 2 DOF vacuum robot

    can be seen in Figure 14.

    In this design, the rotational and radial position of the arm

    was dependant upon the motion of the two rotary direct drive

    Figure 10 Experimental set-up: (1) Z-positioning stage; (2) X-Ypositioning stage; (3) base; (4) torque sensor; (5) PMC; (6) uz, uxpositioning stage; (7) controller of torque sensor

    1

    2

    3

    4

    5

    6

    7

    Figure 11 Schematic diagram of experimental design

    AEMC

    A/D

    Acquisition

    Card

    Torque

    Sensor

    Amplifier

    xx

    z

    z

    y

    x

    xy

    z

    Table II The results comparison of different models

    Screws

    fixing

    Mucilage

    fixing

    T-shape

    groove

    fixing

    Dovetail

    groove

    fixing

    FEA (Nm) 61.4 71.2 70.7 72.2

    Experiment (Nm) 60.9 72.3 72.6 70.9

    Error (%) 0.8 1.5 2.6 1.8

    Design and fabrication of magnetic couplings

    Pinkuan Liu, Yulin Wang and Jun Wu

    Industrial Robot: An International Journal

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    system 1, 2, which were arranged co-axially. Each drive

    system was functionally identical and mechanically similar,

    and each contained three elements: the drive motor, the

    rotary position encoder, and the drive shaft. The drive motor

    and the drive shaft both had a large, open, inner diameter.

    The hollow design allowed for tubing, fixtures, rotary unions

    and wiring to travel up through the center of the shaft and the

    motor. The rotation of the arm was driven by the drive shaft

    6, while the radial motion was driven by the shaft 7. The drive

    shaft 6 runs through the hollow shaft 7 and the direct drive

    system 2.The two concentric hollow drive shafts 6 and 7 connected

    the two outer parts of the PMC 3, 4, respectively, and the

    outer parts of PMC transmited torque to the inner parts by

    magnetic force through the insulation shell 5, which separated

    the atmospheric region and the vacuum region. The drive and

    control mechanisms for the arm were completely outside the

    insulation shell. The structure of the insulation shell was

    designed as a novel stepped type. It was helpful to

    simultaneously use two sets of magnetic couplings with

    different dimension to couple different axes, and the cross-

    coupling of multiple sets of PMC will decrease greatly

    because of obviously different demension. In order to insure

    the dem and of ultrahigh vacuum and highly cleanenvironment and a higher reliability for the vacuum robot,

    the proposed Design B of T-shape groove and dovetail shape

    groove of PMC were used. Finially, the robot arm rotated and

    extended through the rotation of the two concentric hollow

    drive shafts 8 and 9 which attached to the inner parts of PMC.

    5. Conclusion

    Based on the analysis, simulations and measurement of all

    above PMC structure types, the conclusion can be obtained

    that the proposed Design B both had a lower contamination

    rate than the Design A; and they also had a higher

    transmission efficiency than the screws fixing type of Design

    A, and had higher connection reliability than the mucilage

    fixing type of Design A. The maximal torque decreased about

    15 percent for the screws fixing type compared with other

    types.

    Besides, the influences of the deviation length and the slope

    angle between the inner and the outer rotor were discussed.

    The results showed that when the deviation length changed

    less than 5 mm in this case, its influence is small. However,

    when the deviation length changed more than 10 mm, the

    maximal torque and the stiffness of PMC decreased greatly.

    The slope angle of the outer rotor has little influence on the

    transmitted torque of PMC when the slope angle changed

    from 0 to 28.

    Figure 12 The influence of deviation length

    80

    70

    60

    50

    40

    30

    20Torque(Nm

    )

    10

    0

    10

    2 0 2 4 6

    Torsion angle ()

    8 10 12 14

    0 mm

    5 mm

    15 mm

    25 mm

    Figure 13 The influence of slope angle

    80

    70

    60

    50

    40

    30

    20Torque(Nm)

    10

    0

    10

    0 2 4 6

    Torsion angle ()

    8 10 12 14

    2 degree

    0 degree

    Figure 14 The partial cross-section view of a drive section of the 2 DOFvacuum robot: (1), (2) rotary direct drive system; (3), (4) outer parts ofthe PMC; (5) insulation shell; (6)-(9) concentric hollow drive shaft

    8

    9

    5

    4

    3

    2

    1

    6

    7

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    Pinkuan Liu, Yulin Wang and Jun Wu

    Industrial Robot: An International Journal

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    Furthermore, the shafting of vacuum robot was introduced,

    and the proposed Design B of PMC was verified to be feasible

    and can be applied in the vacuum robot successfully.

    References

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    synchronous torque couplers, IEEE Transactions on

    Magnetics, Vol. 14, pp. 800-2.

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    Mecha nical Engi neers, Part C: Jour nal of Mechan ical

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    Wang, Y.L., Liu, P.K. and Wu, J. (2008), Near-optimal

    design and 3D finite element analysis of multiple sets of

    radial magnetic couplings, IEEE Transactions on Magnetics,

    Vol. 44 No. 12, pp. 4747-53.

    Wu, W., Lovatt, H.C. and Dunlop, B. (1997), Analysis and

    design optimisation of magnetic couplings using 3D finite

    element modelling, IEEE Transactions on Magnetics,

    Vol. 33, pp. 4083-94.Yao, Y.D., Chiou, G.J., Huang, D.-R. and Wang, S.-J. (1995),

    Theoretical computations for the torque of magnetic

    coupling, IEEE Transactions on Magnetics, Vol. 31,pp. 1881-4.

    Corresponding author

    Pinkuan Liu can be contacted at: [email protected]

    Design and fabrication of magnetic couplings

    Pinkuan Liu, Yulin Wang and Jun Wu

    Industrial Robot: An International Journal

    Volume 36 Number 3 2009 230237

    237

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