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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 1

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    2. Review of Smart Materials and Structures

    (part 1)

    RVIT Sensor

    Torsional Spring

    Power Supply

    for RVIT

    Power Amplifier

    Rotor with

    SMA Wire

    LPACT

    52

    14

    BaseBay

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 2

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    2.1 What are Smart Materials

    No official definition.

    A lot of names: intelligent materials, adaptive materials, among others.

    Smart materials refer to the materials that are "responsive". Often theresponse is the conversion of one form of energy into another in useful

    quantities.

    For example, piezoelectric ceramic material will generate voltage

    when it is subjected to strain. Commonly used smart materials include piezoelectric ceramics, shape

    memory alloy, magneto-rheological or MR fluids, electro-rheological

    or ER fluids, and fiber Bragg Grating optics.

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 3

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Some Examples of Smart Materials

    SMA Springs SMA Rods SMA Thin Wire

    PZT Patches Flexible Piezo Actuator Piezos

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 4

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Types of Smart Materials

    Electric

    Field

    Magnetic

    Field

    Thermal

    EnergyLight

    Chemical

    Energy

    Actuation

    Piezoceramics

    Piezopolymers

    Electrostrictors

    Electrorheological(ER) fluids

    Magnetostrictors

    Magnetorheological(MR) fluids

    Shape memoryalloys, ceramics,

    Polymers, Mecha-nocalories

    Special gelsPhotostrictors

    Mechanophoto-

    chemics

    Mechanochemics

    Ionic polymeric gels

    Piezoceramics

    Piezopolymers

    Electrostrictors

    Electrorheological

    (ER) fluids

    Magnetostrictors

    Magneto-rheological(MR) Fluids

    Shape memory

    alloys, ceramics,

    polymers

    Fiber optical

    sensors Ionic polymeric gelsSensing

    mechanical force, displacement

    Resistance

    Capacitycharge

    Resistance

    Inductance ResistanceLight

    intensity

    Concen-tration

    pH

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 5

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Comparison of Smart Material Actuators

    PZT-5H PVDF PMN Terfenol D Nitinol

    Actuator Type Piezo-

    ceramics

    Piezo Polymer

    Film

    Electro-

    strictive

    Magneto-

    strictive

    Shape Memory Alloy

    Max Free Strain

    Micro Strain1000 700 1000 2000 80000 (single cycle)

    50000 (many cycles)

    Modulus

    10^6 psi10 .3 17 7 4 (Martensite)

    13 (Austenite)

    Bandwidth High High High Moderate Low

    Linearity Linear Linear Nonlinear Nonlinear Nonlinear

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 6

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    2.2 What are Smart Structures

    No official definition.

    Even more names: intelligent structures, multifunctional

    structures, adaptive structures, adaptronics, etc.

    Smart structures refer to the structures that employ embedded

    actuators and sensors, and microprocessors that analyze the

    responses from the sensors and use control theory to command

    the actuators to apply localized strains to insure the systemrespond in a desired fashion. The actuators and sensor are

    often made of smart materials. Smart structures have the

    capability to respond to a changing external environment (such

    as loads or shape change) as well as to a changing internalenvironment (such as damage or failure). Smart actuators are

    used to alter system characteristics (such as stiffness or

    damping) as well as of system response (such as strain or

    shape) in a controlled manner.

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 7

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Position Control of an SMA Actuator under a Constant Load

    Smart Structures: Example 1 An SMA Linear Actuator

    Linear Bearing

    Linear Variable

    Differential Transformer

    (LVDT) Sensor

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 8

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Position Control of an SMA Actuator under aConstant Load Experimental Results

    Open Loop Testing

    0 5 10 15 20 25 30-45

    -40

    -35

    -30

    -25

    -20

    -15

    -10

    -5

    0

    5Position(mm)

    Time(sec)

    Position(mm)

    Red = Desired Position, Blue = Actual Position

    0 5 10 150

    0.5

    1

    1.5

    2

    2.5

    3

    3.5

    4

    4.5Position (cm) Vs Voltage (V)

    Position(cm)

    Voltage (V)

    With PD Control

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 9

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Smart Structures: Example 2 An SMA Rotary Servo

    The Rotary SMA Servo

    Nickel-Titanium SMA wire (73.66cm in length, 0.381 mm in diameter).

    dSPACE Data Acquisition and Real Time Control system

    RVIT Sensor

    Torsional Spring

    Power Supply

    for RVIT

    Power Amplifier

    Rotor with

    SMA Wire

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 10

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    RVIT Sensor

    Torsional Spring

    Power Supply

    for RVIT

    Power Amplifier

    Rotor with

    SMA Wire

    Achieving Two-Way Rotary Motion with a

    SMA Wire and a Biasing (steel) Spring

    By utilizing SMAs shape memory

    property, a rotary servo actuated by a

    Nitinol type SMA wire is designed andfabricated. An SMA wire winds along the

    thread on the rotor. One end of the SMA

    wire is fixed to base plate and the other end

    is fixed to rotor. The rotor is connected

    with a torsional spring with pre-tension.The rotor has a diameter of 1.15 inch. The

    Nitinol wire has a diameter of 0.015 inch

    and a total length of 29 inch. It is obvious

    that this rotor design is a space-saving

    solution for using SMA wire actuators.Upon heating of the SMA wire using

    electric current, the wire contracts and

    rotates the rotor since the other end of the

    SMA wire is rigidly connected to the base

    plate. During this process, the torsional

    spring will be loaded. Upon cooling, the

    torsional spring will return the rotor to its

    original position and the SMA wire returns

    to its original length.

    A programmable current amplifier is used to power the

    SMA wire. To study the forced cooling effect on the SMA

    actuator, a cooling fan is installed underneath the rotor. A

    Rotary Variable Inductance Transformer (RVIT) is used to

    measure the wire displacement.

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 11

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    The Control Block Diagram

    KD

    Robust

    Comp.

    R Gain

    Command

    Saturation

    Feedback Signal

    Command Signal

    Programmable

    Power Supply

    Real-Time Control System

    Bias

    t

    RVIT Sensor

    FlexibleCoupling

    TorsionalSpring

    Rotor with

    SMA Wire

    Amplified Command Signal

    Low Pass

    Filter

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 12

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    EXPERIMENTAL RESULTS

    Experiment: the rotor is instructed to rotate from its initial position of 39.5

    degree to 60 degree and then return to 0 degree.

    Angular position with robust control (Desired and actualposition)

    Steady state error =

    .2 degree at 60 degree

    and.1 degree at 0 degree

    0 10 20 30 40 50 60

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    40

    50

    60

    70

    position(mm)

    Time (second)

    AngularPosition(degree)

    Desired Position

    Ac tual Pos itionRobust Control

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 13

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Comparison of Angular Positions with and without Cooling (PD control)

    0 20 40 60 80 100 120-45

    -40

    -35

    -30

    -25

    -20

    -15

    -10

    -5

    0

    AngularPosition(degree)

    Time (second)

    Desired Position

    With Cooling

    Without Cooling

    14

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 14

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Example3 A cantilevered beam with piezo sensors and actuators..

    Power Amplifier

    Piezo Actuator

    Oscilloscope

    Cantilevered Flexible Beam

    Piezo Sensor

    Sensor SignalSensor Signal

    Actuating SignalPC with DataAcquisition &Real TimeControl

    System

    Example 4 Active vibration control of a composite I-beam.

    C l f S S 2 R i f S M i l d S (P 1) 15

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 15

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Use Piezoceramic Patch as an Actuator

    - + -+No Voltage

    Direction

    of Polarity

    Applied Voltage

    opposite polarityApplied Voltage

    same as polarity

    Direction

    of Polarity

    Direction

    of Polarity

    (a) Beam being bent upwards (b) No bending (c) Beam being bent downwards

    C t l f S t St t 2 R i f S t M t i l d St t (P t 1) 16

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 16

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Use Piezoceramic Patch as a Sensor

    -+ - +

    No voltage generated

    Direction

    of Polarity

    Voltage generatedsame as polarity

    Voltage generatedopposite polarity

    Direction

    of PolarityDirection

    of Polarity

    F F

    C t l f S t St t 2 R i f S t M t i l d St t (P t 1) 17

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 17

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Example 4: Strain Measurement using Fiber Bragg

    Grating Optic Sensor

    Optical fiber

    Bragg gratings

    Control of Smart Str ct res 2 Re ie of Smart Materials and Str ct res (Part 1) 18

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 18

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    About Fiber Bragg Grating Optic Sensor

    Writing

    Grating

    With

    Pulsed

    Excimer

    Laser

    Period (

    )

    Coherent UV

    beams

    Holographically

    Induced index

    Modulation

    ( grating)

    Fiber core

    UV interference

    pattern

    IR

    IIO

    Principle: Write a grating on fiber by constructively interfering two high powerlasers. This corrugates index of refraction at a known wavelength.

    Project broad band light down the fiber. Light at a Bragg wavelength

    proportional to grating spacing is partially reflected: =2 n.

    If the fiber grating is strained, the Bragg wavelength of reflected light changes

    slightly. /= ~0.74 By detecting frequency shifts in reflected power spectrum, one can infer

    strains in the grating region. Detectable resolution ~6 nano-stains.

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 19

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Experimental Results

    Sensor Output When the Beam Vibrates

    Sensor Output When Beam Is Subjected to a Constant Strain

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 20

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Example 5: Vibration Isolation using

    an Ultra Quiet Platform

    Disturbance Vibration

    Caused by Shaker

    Signal

    Conditioner

    Vibration Controller

    for Each Strut

    Bias Voltage

    Trek 50/750

    Power Amp.

    Geophone

    SensorOutputs

    LowpassFilter

    (Anti-Aliasing)

    dSpace Real Time Data

    Acquisition and Control

    A/D Converter

    +

    D/A Converter

    Piezoelectric

    Actuator Inputs

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 21

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Example 6: Beam Shape Control using

    Embedded Shape Memory Alloy Wires

    Composite beam with

    embedded SMA wires

    Programmablepower supply

    DC power supply

    for manual control

    Laser range sensor

    OscilloscopePower supply for

    laser range sensor

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 22

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    5.08cm

    30.48 cm

    Shape memory composite beam

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 23

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Low Pass

    Filter

    Programmable

    Current/Voltage Amp.

    Signal

    Conditioner

    Laser

    Range Sensor

    Composite Beam

    with Embedded

    Shape Memory

    Alloy (SMA)

    Wires

    Current

    Command

    SaturationReal Time Control System

    KD

    Robust

    Compensator R Gain

    FeedforwardTerm

    t

    re

    SMA beam

    control strategy

    along with theexperimental

    setup

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 24

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    -50 0 50 100 150 200 250 300 350 400 450 5004

    4.5

    5

    5.5

    6

    6.5

    7

    7.5

    8

    8.5

    9

    Desired Position

    Beam Tip Response

    P gain=20, D gain=20, Robust gain =10

    BeamT

    ipPositio

    n(mm)

    time (s)

    Tip position control of the composite

    beam with robust compensation

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1) 25

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Shape Memory Alloys (SMA's) are novel metal materials

    which have the ability to return to a predetermined shape

    when heated.

    When an SMA is cold, or below its transformation

    temperature, it has a very low yield strength and can bedeformed quite easily into any new shape. However, when

    the material is heated above its transformation temperature

    it undergoes a change in crystal structure which causes it to

    return to its original shape.

    If the SMA encounters any resistance during this

    transformation, it can generate extremely large forces. This

    phenomenon provides a unique mechanism for remote

    actuation.

    SMA Spring

    After being Elongated at Cold

    SMA Spring

    After being heated

    For example, the SMA spring shown in the figures can be

    easily elongated when it is cold, but the SMA spring

    returns to its original shape once heated.

    2.3 Shape Memory Alloy Materials

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    Control of Smart Structures 2. Review of Smart Materials and Structures (Part 1)

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    How SMA Works

    Shape Memory Effect (SME) (One Way)The shape memory effect is a unique property of certain alloys exhibitingmartensitic transformations. These materials can be deformed in the lowtemperature phase, and they will recover their original shape by the reversetransformation upon heating to a critical temperature called the reverse

    transformation temperature. This shape change is due to a change in the atomiccrystal structure of the alloy.

    Heat

    High Temperature

    Cool

    Remove Force

    Force Force

    Low Temperature

    Deformed SMA Spring Deformed SMA Spring

    SMA Spring

    Deform

    One Way Shape

    Memory Effect of a

    SMA Spring.

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    ( )

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Austenite and Martensite:

    The high temperature crystal structure is called austenite and is cubic and strong. When cooled,

    the material transforms to a structure called martensite, with a monoclinic lattice structure

    which looks like a parallelogram in two dimensions and it is weak.

    High Temperature

    Cubic Structure

    - Austenite

    Low Temperature

    Structure

    - Martensite

    How SMA Works (cont)

    Nitinol Crystal Structures: Austenite and Martensite

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    ( )

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    How SMA Works (cont)

    Twinning Process:

    When a piece of shape memory material containing many atoms is cooled below a

    transformation temperature, the atoms do not all tilt in the same direction. Instead, the atoms

    form alternating rows of atoms tilting either left or right (shown in the figure). Any four atomsin the low temperature structure have the martensite parallelogram shape. The alternating rowsin the figure is called twinning, because the atoms form mirror images of themselves, or twins,through a plane of symmetry.

    High Temperature Low Temperature

    Twinned Martensite

    Twinning Process: Nitinol Atomic Rearrangement upon Cooling

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    ( )

    Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    De-twinning Process:

    When a stress is applied to the twinned low temperature SMA, the stress will deform, or

    accumulate strain, as the twins are reoriented so they all lie in the same direction. This is

    called de-twinning, and in shape memory alloys, the stress required to reorient twins is

    relatively low. This de-twinning process is shown in the figure.

    How SMA Works (cont)

    As Cooled Deformed by

    Applied Force

    Force

    Force

    De-twinning Process: Deformation of Low Temperature Nitinol Structure

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    30Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Return to Austenite Upon HeatingHeating the material above a certain temperature will cause the deformed martensite to return to

    austenite and the original shape of the piece will be obtained. This occurs because the original

    atomic positions are always maintained in the austenite phase.

    How SMA Works (cont)

    Phase Transformation of Nitinol Shape Memory Alloy

    High Temperature Austenite

    Low Temperature Martensite

    Twinned Structure

    Deformed Low Temperature Martensite

    Detwinned Structure

    Deform

    HeatingCooling

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    31Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Phase Transformation of the SMA Spring (Macro and Micro Views)

    How SMA Works (cont)

    Heat

    High Temperature

    Cool

    Remove Force

    Force Force

    Low Temperature

    Deformed SMA Spring Deformed SMA Spring

    SMA Spring

    Deform

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    32Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Two-Way Shape Memory Effect (SME)

    Two-way shape memory effect: the shape memory

    material will return to a low temperature shape on

    cooling, as well as to a high temperature shape on

    heating. But the recovery stress of a two-way SMA is

    much lower than that of a one-way SMA.In both the one-way and two-way shape memory

    effects, only during heating work can be generated.

    During cooling with the two-way effect, the material

    simply recovers its low temperature shape and cannot

    provide a force to external mechanical components.

    Heating Cooling

    Deformation

    One-Way SME

    Cooling

    Heating

    Two-Way SME

    The one-way shape

    memory effect

    requires a force to

    deform the material

    while it is cool, butwill recover its shape

    when heated.

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    33Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Transformation Hysteresis of SMAs

    The phase transformation of SMAs exhibits hysteresis, i.e., transformations on heating and oncooling do not overlap.

    Hysteresis, a nonlinearity, adversely affect precision control of the structures activated by SMAactuators.

    To design control methods to compensate for the nonlinearities associated with SMA actuators

    poses a challenge for control engineers and researchers.

    Heating

    Wire Contracts

    Cooling

    Wire Extends

    Weight

    Shape Memory Alloy Wire Actuator

    Current

    Current

    Current

    An SMA Wire ActuatorTemperature

    Length

    Martensite%

    100

    0

    Austenite

    Start

    Austenite

    FinishMartensite

    Start

    Martensite

    Finish TransformationHysteresis

    As

    Af

    Mf

    Ms

    Mf< Ms < As < Af

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    34Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Hysteresis of an SMA Wire Actuator

    A programmable current amplifier is used to electrically heat the SMA wire.

    A linear variable differential transformer (LVDT) is placed aganst the slider to detect theactuators displacement.

    The electrical heating of the wire causes a phase transformation, which is seen as a contractionof the wire. The wires contraction places additional tension on the spring. Once the current iscut off and heat is removed, the bias spring will pull the SMA wire actuator back to its coldlength.

    Shape Memory Alloy Wire Actuator

    LVDT Position

    Sensor

    Current Amplifier

    Bia SpringLinear

    Bearing

    A Nickel-Titanium shape memoryalloy wire (30.48 cm in length and

    0.381 mm in diameter) is used. In this SMA test stand, the shape

    memory alloy wire is attachedbetween two wire supports. One wiresupport is attached to a slider that isfree to slide through a linear bearing.The slider is attached to a biasingspring which pretensions the shapememory alloy wire.

    Experimental Setup

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    35Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Motion Obtained by the SMA Wire Actuator

    SMA at low temperature.

    L1

    Stretch the wire at low temperature

    by the bias spring.

    L2

    Remove force, new length at low

    Temperature.

    Apply heat, regain original length

    L1

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    36Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    0 0.5 1 1.5 2 2.5 3 3.5 40

    2

    4

    6

    8

    10

    12

    14Displacement v/s Voltage

    Voltage (volt)

    Displacement(mm)

    The shape memory alloy wire is excited using asinusoidal signal. Though input voltage is puresinusoidal, the displacement is not.

    The hysteresis loops observed have an average width of2 volts. The curves are not very smooth, and this can be

    attributed to the uncontrolled ambient conditions. The shape memory alloy wire actuator is not fully

    repeatable due to the uncontrolled ambient condition.0 50 100 150 200 250 300

    0

    0.5

    1

    1.5

    2

    2.5

    3

    3.5

    4Applied Voltage and Current - Training Signal

    .....Voltage _____Current

    Time (sec)

    Voltage(volt)andCurrent(amp)

    0 50 100 150 200 250 3000

    2

    4

    6

    8

    10

    12

    14Displacement - Training Signal

    Time (sec)

    D

    isplacement(mm)

    The Applied Sinusoidal Voltage and Measured Current

    Displacement of the SMA Wire ActuatorRelationship between the Applied Voltage and

    Displacement

    Hysteresis

    Loops

    Hysteresis Loop:

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    Stress-Strain Relationship of SMA

    The Stress-Strain relationship of shape memory alloys shows strong temperature dependence,because of the reversible Austenite to Martensite transformation.

    This figure shows the stress-strain relationship of a shape memory alloy at or below the Mf

    temperature. It is assumed that the SMA is cooled from the Austenite without applying stress.

    Stress

    Strain

    Detwinning

    Elastic

    RegionElastic

    Region

    Plastic

    Deformation

    O

    BA

    CStress-strain Relationship at or below Mf

    OA: The initial curve segment representselastic deformation and the microstructure

    consists of randomly oriented Martensite

    twins.

    A: Detwinning starts. At this point, the stress

    level is sufficient to start the twins to reorient

    according to the applied stress field.AB: Detwinning. The twins reorient until

    they all lie in the same crystallographic

    direction.

    B: Detwinning is complete at point.

    BC: The Martensite undergoes mostly elastic

    deformation again in segment BC. At point

    C: The stress level is sufficient to start plastic

    deformation of the Martensite.

    Beyond C: The shape memory effect is

    destroyed or severely diminished by plastic

    deformation of the Martensite.

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    Stress

    Strain

    Stress induced Martensite

    Elastic

    RegionElastic

    Region

    Plastic

    Deformation

    O

    BA

    CStress-strain Relationship above Afbelow Md

    Md: temperature at which non-elastic deformation is due toslip (plastic yielding) at stress induced Martensite.

    O: The material is fully austenitic.

    OA: Elastic deformation.

    A: Martensite begins to form from

    the austenite, this material isreferred to as stress inducedmartensite.

    AB: Stress induced Martensite..

    BC: Represents elastic deformation.

    C: Plastic deformation starts to occur.

    AB: When the material is unloaded in this segment with stress

    induced Martensite, the Martensite becomes unstable and the

    material returns to austenite and its original shape. The material can

    experience 8% of strain change. Superelasticity occurs.

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    At temperatures above Md, non-elastic deformation is entirely due to

    plastic yielding, and no stress induced Martensite is formed.

    Stress

    ElasticRegion

    Plastic

    Deformation

    Strain

    Stress-strain Relationship above Md

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    Superelasticity Definition: the behavior of certain alloys to return to their original shape upon unloading after a

    substantial deformation has been applied.

    The superelastic mode takes place under constant temperature conditions.

    When a shape memory alloy is deformed above Afand below Md (the temperature above whichstress-induced martensite can no longer be formed). stress-induced martensite is formed. When

    the material is unloaded, the martensite becomes unstable and the material returns to austeniteand its original shape. Superelasticity occurs. The stress-strain relationship is shown in thefigure.

    The unloading curve occurs ata lower stress due to

    transformational hysteresis

    which is closely related to the

    thermal hysteresis in shape

    memory behavior. The loading

    plateau is the result of the

    martensite accommodating the

    applied stress by forming the

    crystallographic twin variant

    most favorably inclined to the

    applied stress field.

    Unloading plateau

    Loading plateau

    STAIN

    STRESS

    Sl: loading stress Su: unloading stress

    t: total strain

    Sl

    Su

    t

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    Superelasticity: Effect ofTemperature on loading and

    Unloading Stresses

    Loading and unloading stress increase with increasing

    temperature within the Superelastic window.

    Unloading

    plateau

    Loading

    plateau

    Temperature

    Stress

    MaterialElastic

    Strain

    Steel 0.8%

    Cu-Zn-AI 5.0%

    Ni-Ti 10.0%

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    Superelastic Window

    In the left portion of the figure, the plastic strain is large and due to the Martensitic

    transformation associated with the shape memory event (i.e. it can be recovered by

    heating above Af,). To the right of the minimum point there exists a relatively flat portion which defines the

    superelastic window since the permanent plastic strain is small.

    To the right of the superelastic window the permanent plastic strain increases

    dramatically and is therefore not acceptable for superelastic applications.

    % set

    after8%Shape memory

    zone

    (recover strain

    by heating)

    Superelastic + plastic

    Deformation

    (permanent set)

    Temperature

    Superelastic

    zone

    This figure shows theuseable temperaturerange for superelastic

    behavior, commonlyreferred to as the"superelastic window".

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    Narrow Superelastic Window Limits Application

    An approximately 40C window, starting at the Aftemperature, can be

    obtained by strengthening the alloy--through a combination of cold

    work, aging, and annealing. Still, this functional temperature range is too narrow for most industrial

    and consumer applications. Automobile springs, for example,

    generally require elasticity from -30 to 200C. Moreover, the stiffness

    of a superelastic device changes with temperature according to the

    Claussius-Clapeyron equation, at a rate of approximately 4-8 MPa/C.

    The variability of superelasticity with temperature, and therefore its

    narrow superelastic window, limits the general use of superelastic

    materials.

    Superelastic Window (cont)

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    44Department of Mechanical Engineering

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    Types of Shape Memory Alloy

    Materials There are many known alloy systems which exhibit the shape memory effect, but only three

    have shown promise for commercial applications. They are Nickel-Titanium (Ni-Ti), Copper-

    Zinc-Aluminum (Cu-Zn-Al), and Copper-Aluminum-Nickel (Cu-Al-Ni).

    The copper-zinc-aluminum alloys have a typical composition of 15 25 weight percentage Zn

    / 6 9 weight percentage Al / balance Cu. Cu-Zn-Al alloys are lower in cost than nickel

    titanium, but they possess some inferior characteristics. Transformation temperatures can drift

    slightly during cycling (particularly at service temperatures greater than 100 oC) and to a

    significant extent if the alloy is not processed properly. These alloys are susceptible to stress

    corrosion cracking when exposed to certain corrosive agents.

    The copper-aluminum-nickel alloys have a typical composition of 13 14 weight percentage

    Al / 3 4 weight percentage Ni / balance Cu. Cu-Al-Ni alloys possess lower ductility than

    either Ni-Ti or Cu-Zn-Al. Their corrosion resistance is inferior to Ni-Ti and their cost is

    higher than Cu-Zn-Al. Cu-Al-Ni alloys undergo less degradation in shape memory properties

    than Cu-Zn-Al, after exposure to temperatures in the 100 to 350O C range. In addition, Cu-Al-

    Ni alloys have the highest transformation temperatures of the three alloys.

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    Nitinol The nickel titanium alloys (Nitinol) they have typical compositions of approximately 50

    atomic percentage Ni / 50 atomic percentage Ti, and may have small additions of copper,

    iron, cobalt, or chromium.

    Nickel-titanium is about four times the cost of Cu-Zn-Al alloys.

    It has several advantages over Cu-Zn-Al and Cu-Al-Ni: greater ductility

    more recoverable motion

    excellent corrosion resistance (comparable to series 300 stainless steels)

    stable transformation temperatures

    high biocompatability

    the ability to be electrically heated for shape recovery.

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    High electrical resistivity (~80 micro ohm-cm) enables Ni-Ti to be heated by electric

    current.

    Time response highly dependents on: the amount of current, the ambient temperature,

    the wire diameter and mechanical configuration. AC or DC may be applied, care must be taken to avoid exceeding 250C.

    The thicker the wire the longer the cooling time.

    Electrical Actuation for Ni-Ti

    SMA

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    Superelastic Nitinol

    The enormous elasticity of this alloy is the most dramatic advantage afforded by

    this material.

    While many metals exhibit superelastic effects, only Ni-Ti-based alloys appear to

    be chemically and biologically compatible with the human body. Although a largenumber of Ni-Ti ternary alloys have been introduced, none has been objectively

    shown to be superior to simple binary Ni-Ti with between 50.6 and 51.0 atomic

    percent nickel.

    Nitinol superelastic materials has the advantages of elastic deployment,

    biocompatibility, kink resistance, constancy of stress, physiological compatibility,dynamic interference, fatigue resistance, hysteresis, and MRI compatibility.

    Superelastic nitinol alloys are becoming integral to the design of a variety of new

    medical products.

    Human bodies have a relatively constant temperature, ideally suited to the use ofsuperelasticity. Furthermore, the 37C temperature of humans is, by chance, easily

    achieved in Ni-Ti without having to go to brittle Ni-rich alloys, or to very soft Ti-

    rich alloys. Thus, the vast majority of successful superelastic applications are of a

    medical nature.

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    Properties of Some SMAs NiTi CuZnAl CuAlNi FeNiCoTi Unit

    Range of transformation temp -100 to +70 -200 to +100 -150 to +200 -150 to +550 C

    Hysteresis width 30 15 20 K

    Maximum one-way effect 8 4 6 1 %

    Maximum two-way effect 4 0.8 1 0.5 %

    Fatigue strength 800-1000 400-700 700-800 600-900 N/mm2

    Ultimate tensile strength 700 600 500-800 N/mm2

    Admissible stress for

    actuator cycling 150 75 100 250 N/mm2

    No of cycles >100000 10000 5000 50

    Density 6450 7900 7150 8000 kg/m3

    Electrical resistivity 80-100 7-12 10-14 10-8m

    Youngs modulus, EA 50 70-100 80-100 170-190 GPa

    Corrosion resistance very good fair good bad

    Thermal conductivity 18 120 30-43 J/m-sec-K

    Heat capacity 837 400 373-574 J/kg-K

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    SMA Properties: Yield Strength

    SMA Transformation Temperature Range

    Property Ni-Ti Cu-Zn-Al Cu-Al-Ni

    Maximum As Temperature (C) 100 120 200

    High Temp Yield Strength (MPa) 415 350 400

    Low Temp Yield Strength (MPa) 70 80 130

    Temperature [C]

    - 100 - 60 - 20 +20 +60 +100 +140 +180 +220

    Ni- Ti

    Ni- Ti- Cu

    Cu- Zn- Al

    Cu- Al- Ni

    Cu- Al- Ni- Ti- Mn

    Ti- Ni- Pd

    Ti- Ni- Pt700C

    600C

    Ni- Ti- Fe [R- Phase]

    Ni- Ti [R- Phase]

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    2.4 Shape Memory Alloy Actuators

    Comparison of Different Actuators

    Types of SMA Actuators

    Operating Modes of SMA Actuators

    Some Mechanisms Using SMA Actuators Operational Modes and Applications of Superelastic Actuators

    Passive Damping Using SMA or Superelastic Materials

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    Advantages and Disadvantages of SMA

    Actuators

    Advantages Disadvantages

    Large energy density

    Solid state actuator no moving part

    Combined sensor and actuator

    Bio-compatibility

    Various means of activation: electricity, laser,

    and heat. Availability in different shapes

    Linear and rotational motion

    Micro-scalable

    Usable in clean room environment

    Very good corrosion resistance Low voltage actuation

    Silent

    Highly nonlinear

    Low bandwidth

    Large actuation power

    Very low efficiency

    Limited range of transformation

    temperature (< 200OC)

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    Comparison of Different

    Actuators

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    Comparison of Actuators

    Type Temperature Motion Characteristics

    Solenoid -50 to +120 C Linear, On-Off-simple design

    -low cost

    Bimetal -40 to +600 C Bending-low cost

    -linear response

    Wax Motor -40 to +180 C Linear

    -high force

    -low cost-linear response

    Shape

    Memory

    -100 to +170 C Linear

    Torsion

    Bending

    -high force/size

    -simple designs

    -Non-linear

    -silent operation

    -electrical and

    thermal control

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    Types of SMA Actuators

    Actuator strokeMaterial

    deformationActuator shape

    Translation ContractionTensile wire, bar or tube

    Translation Extension Compression bar or tube

    Translation Shear

    Coil spring

    Rotation Bending

    Leaf spring

    Rotation Bending

    Torsion helical spring

    Rotation Shear

    Torsion wire, bar or tube

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    Types of SMA Actuators

    One-way motion achieved using

    a SMA Spring

    Heating

    Weight

    One-way motion achievedusing a SMA Wire

    Heating

    Wire Contracts

    Cooling

    Wire Extends

    Weight

    Shape Memory Alloy Wire Actuator

    Current

    Curren

    t

    Current

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    Achieving Two-Way Motion

    with a SMA Wire and a Biasing

    (steel) Spring

    Shape Memory Alloy Wire Actuator

    LVDT Position

    Sensor

    Current Amplifier

    Bia SpringLinear

    Bearing

    SMA Wire Test Platform

    LVDT Position sensor

    itinol SMA Wire

    LinearBearing

    Tension Spring

    Pulle s

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    Achieving Two-Way Motion with a

    SMA Spring and a Biasing (steel)

    Spring

    MOTION

    STEEL

    SPRINGS.M.A.

    SPRING

    COLD

    HOT

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    Operating Modes of SMA

    ActuatorsA. Free Recovery

    This is the most obvious way to use SME.

    Free recovery consists of three steps:

    1. Deformation of the shape memory material in the martensitic condition atlow temperature.

    2. Release of the deforming stress.

    3. Heating to above the transformation temperature to recover the high

    temperature shape.

    Deployment of an SMA-Wire

    Antenna upon solar heating

    Example: Collapsible SMA Wire Anntenna

    One of the first application ideas for a shape memory device after the

    properties of the alloys were realized was to fabricate a collapsibleantenna for a space vehicle from shape memory alloy wire, compress it

    into a small package, shoot it into space and with heating from the sun

    or by other means cause the antenna to self erect.

    Source: Goodyear Aerospace

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    B. Constrained Recovery

    In this family of applications, the SMA component is cooled to below

    its Mfso it can be deformed to give a temporary shape. And it is then

    used as part of a system to exert considerable force when heated.

    Constrained recovery is the mode of operation used for couplings,

    fasteners, and electrical connectors.

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    Constrained recovery: Single-Cycle

    Operation

    Cryofit CouplingsCryofit shape memory couplings are used in the

    joining of pipes and tubes, mostly in hydraulic

    lines. The couplings are manufactured in the form

    of an expanded sleeve, which overlaps the ends of

    the tubes to be joined. When the sleeve is in place,

    it is heated, and this causes it to shrink indiameter, swaging the tubes slightly, and forming

    a strong union. They are used in applications

    which require a compact, very reliable coupling,

    for example for joining hydraulic tubing in

    aerospace applications. They have also been usedin industrial and marine applications. Cryofit

    couplings generally have to be shipped to the

    customer packed in liquid nitrogen (-196O C)and

    require special installation tooling. These

    cryogenic couplings shrink and form a joint once

    they reach the operating temperature of the

    application.

    These couplings may have been the largest single

    use of Nitinol shape memory material to date.

    Since the operating temperature may be as low as -

    55 C, the transformation temperature has to be

    lowered to about -100C. To achieved this,

    sufficient iron (3-4%) is added to the Ni-Ti alloy.

    Source: Raychem Corp.

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    Cryocon electrical connectors made by Raychem

    A family of electrical connectors

    developed by Raychem Corp. were

    named Cryocon to reflect the fact

    that cryogenically cooling themwould open the socket so the pin of

    the connector could be easily

    withdrawn or inserted. When

    warmed, though, the Nitinol ring

    would recover its smaller diameterand clamp the socket tight on the

    pin.

    Source: Raychem Corp.

    Constrained Recovery: Multi-cycle

    Operation

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    Electrical Connector with Zero Insertion Force (ZIF)

    1. Low Temperature:Insert I.C. Pin

    I.C. Pin

    Compliant Contact

    Shape Memory

    Alloy Driver

    2. Heat The SMA Driver ToClamp Pin In Place

    Force Applied

    by the SMA

    Driver

    It consists of a compliant contact (made of beryllium-copper), and a shape memory driver. Theshape memory driver is expanded at low temperatures, allowing the contact to open (i.e., the

    contact assembly provides a biasing force), so the pin from the electronic chip can be inserted.

    The assembly is then allowed to heat to perating temperature and the shape memory driver

    shrinks in size, firmly holding the pin in place. Special tooling is required, but unlike the

    couplings, the assembly can be opened

    and closed many times if the electronic components require replacement. The connectors are

    used for connecting dual in-line package integrated circuits. They have the advantage of

    providing high clamping force and a zero insertion force.

    Constrained Recovery: Multi-cycle Operation

    Source: Beta Phase, Inc.US Patents:5,044,980

    5,015,193

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    Some Mechanisms Using SMA

    Actuators SMA Valve

    Steel Spring Shape Memory Spring

    Expanded

    VALVE OPEN

    HIGH TEMPERATURELOW TEMPERATURE

    VALVE CLOSED

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    SMA Valve

    Hot Gas In

    Biasing Spring Shape Memory spring

    Gas

    Out

    HIGH TEMPERATURE

    LOW TEMPERATURE

    Valve

    ClosedCold Gas In

    ValveOpen

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    SMA Mixing valve

    SMA spring will control the ratio of cold and hot water. It will prevent

    extreme changing of water temperature at the begging of flow.

    Source: Furukawa Techno Material (FTM)

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    A Rice Cooker With SMA Release Valve

    SMA spring opens the pressure control valve at the certain high

    temperature, and releases excess steam to outside.

    Source: Furukawa Techno Material (FTM)

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    SAM Vent for an Air Conditioning Unit

    Source: Furukawa Techno Material (FTM)

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    SMA Valve

    Steel

    Spring

    SMA Spring at HIGH

    TEMPERATURE

    SMA Spring at LOW

    TEMPERATURE

    Valve OPEN

    Shape Memory

    Alloy Spring

    Steel

    Spring

    Valve BLOCKEDShape Memory Alloy

    Spring Expanded

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    Robotic Fish: Achieve Fish-like

    Locomotion using SMA Wires

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    SMA Fish Actuation Illustration (Top

    View)

    Wire 1

    Bending

    1 & 4 actuated

    Bending

    2 & 3 actuated

    Waving

    1 & 3 actuated

    Waving

    2 & 4 actuated

    Wire 3

    Wire 4

    Wire 2

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    Shape Control of a Flexible BeamUsing SMA Actuators

    Movie: Beam Shape Control in Air Movie: Beam Shape Control in Water

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    Shape Memory Saw-Tooth Bone

    Fixator

    Chinese Patent No: ZL 94239678.2

    Source: SIAI Hi-Tech LTD

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    Operational Modes of Superelastic

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    Operational Modes of Superelastic

    Actuators

    A. Deformation Resistant ApplicationsThis class of superelastic devices is manufactured with the intent that they may never bedeformed beyond the limits that ordinary metals would tolerate, but if they are then theywill demonstrate superelasticity by undergoing stress induced transformation and will

    spring back from the deformation when the stress is removed to restore the design.function of the device.

    Cellular telephones antennas

    Eyeglass frames

    Guide wires to guide catheters

    Superelastic Cell

    Phone Antenna

    Nitinol guide wires

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    B. Shape Restoring Applications

    Superelasticity allows one to pass a

    complex instrument through a

    cannula, and have the instrument

    elastically return to the deployed

    configuration once through. The

    figure below shows a comparison of

    the smaller "footprint" that is possible

    with "hingeless" Nitinol designs

    compared to a stainless steel design.

    Instruments include right angle

    needles, suture passers, retractors,

    graspers, baskets, and retrieval bags.

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    75Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Atrial Septal-Defect Occlusion System (ASDOS) - Shape Restoring

    Application

    This device is the first to allow nonsurgical repairs of

    occlusions, or holes, in the atrial wall of the heart. This

    procedure can treat defects ranging in diameter from 20 to 35

    mm. A transcatheter method is used with the entire procedure

    conducted through two catheters, in this case 10 french (~3.5

    mm) in diameter.

    The actual device comprises two small umbrellas consisting of

    five nitinol wire loops supporting webs of microporous

    polyurethane (see the figurse). The two umbrellas are passed

    into the body while folded into two catheters, and arepositioned one each on either side of the defect area. A

    guidewire passing directly through the hole is used to ensure

    that the two catheters and umbrella devices are positioned

    correctly. Once positioned, the umbrellas are pushed forward

    from their catheters and screwed together using a specialtorquing catheter. The resulting sandwich forms a patch,

    occluding the atrial defect. Available umbrella diameters range

    from 20 to 65 mm.Source: Osypka Medizintechnik

    (Rheinfelden, Germany)

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    Amplatzer Septal Occluder Shape Restoring

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    76Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Amplatzer Septal Occluder - Shape Restoring

    Application

    The Amplatzer Septal Occluder is a self-

    expandable, double disc device made

    from a Nitinol (Nickel-Titanium Alloy)

    wire mesh. The two discs are linked

    together by a short connecting waistcorresponding to the size of the ASD. To

    increase its thrombogenicity, the device's

    discs and waist are filled with polyester

    patches. The polyester patches are

    securely sewn to the wire frame withpolyester threads.

    The Amplatzer Septal Occluders are

    provided in a kit containing devices

    ranging in size from 4-34mm*. Thedelivery system consists of a delivery

    cable, sheath, loading device, pin vise,

    and sizing template. Sheath sizes range

    from 6 to 12F.

    Source: AGA Medical Corporation

    U.S. Patent 5,725,552

    U.S. Patent 5,846,261

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    77Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    A & B: Pre Closure

    C & D: Complete closure

    immediately after device

    release.

    E & F: Six month TEE

    Follow-up, note the

    shrinkage in the profile ofthe device with time.

    Source: AGA Medical Corporation

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    78Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Stents: Shape Restoring Application

    The gentle pressure against the vessel wall is controlled by

    the unloading arrows, but reclosing of the vessel is resisted

    by the stiffness indicated by the loading arrows.

    Superelastic medical self-expanding stents are used to support the insidecircumference of a tubular passage such as an esophagus, bile duct, or blood vessel.

    Probably the most interesting area of application is in the cardiovascular system, as a

    follow-up to balloon angioplasty. The placement of a stent has been shown to

    significantly decrease the propensity for restenosis.

    4% 8%

    MartensiteInducing Stress

    Reversion Stress

    Strain

    Loading

    Unloading

    Stress

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    79Department of Mechanical Engineering

    Dr. G. Song, Associate Professor

    Use of Shape Memory Alloys for Passive Damping

    Shape Memory Hysteresis During Cyclic Motion

    Strain %

    4 8 12

    Martensite deformation Stress

    20

    60

    100

    Stress, ksi

    Due to the hysteresis, the shadow area represents the energy dissipated during a

    cycle.

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    Use of Superelasticity for Passive Damping

    Due to the hysteresis, the shadow area represents the energy dissipated during a

    cycle.

    Strain %

    12

    100

    Stress, ksi

    4 8

    20

    60

    Martensite Inducing Stress

    Reversion Stress