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A link object connects two joints, i and j, separated by length L, such that specialized structural behavior may be modeled. Linear, nonlinear, and frequency-dependent properties may be assigned to each of the six deformational degrees-of-freedom

...

(DOF)

...

which

...

are

...

internal

...

to

...

a

...

link,

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including

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axial,

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shear,

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torsion,

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and

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pure

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bending.

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Internal

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deformation

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is

...

then

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calculated

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from

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joint

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j

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displacement

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relative

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to

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joint

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i

...

,

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where

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i

...

may

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be

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grounded

...

to

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simulate

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a

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support

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point.

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To

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utilize

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nonlinear

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and

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frequency-dependent

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properties,

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corresponding

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analysis

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cases

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must

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be

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defined

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and

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run.

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Link

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force-deformation

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(F-D)

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relationships

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may

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be

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specified

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for

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each

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of

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the

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6-DOF

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to

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simulate:

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  • Multi-linear

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  • springs

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  • (uniaxial

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  • elasticity)

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  • Wen

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  • behavior

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  • (uniaxial

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  • plasticity)

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  • Kinematic,

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  • Takeda,

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  • and

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  • pivot

...

...

  • behavior

...

  • (multi-linear

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  • uniaxial

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  • plasticity)

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  • Gap

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  • (compression-only)

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  • and

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  • hook

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  • (tension-only)

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  • elements

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  • Isolation

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  • devices

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  • (biaxial-plasticity

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  • and

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  • friction-pendulum

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  • isolators

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  • with

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  • optional

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  • uplift)

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  • Viscoelastic damping is specified in Force/Velocity

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  • units

...

All

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shear

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deformation

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is

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assumed

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to

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occur

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within

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a

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shear

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spring.

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Shear-spring

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location

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may

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be

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specified

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in

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terms

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of

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distance

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from

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joint

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j

...

,

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where

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dj2

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is

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the

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major-axis

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shear-spring

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location,

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and

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dj3,

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the

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minor-axis.

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As

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such,

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dj2

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represents

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the

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location

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for

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1-2

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plane

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shearing

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and

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1-3

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plane

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bending,

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while

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dj3

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is

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the

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reverse.

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Either

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translation

...

or

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rotation

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may

...

induce

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shear

...

deformation.

...

Each

...

of

...

the

...

six

...

springs

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and

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hinges

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which

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correlate

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with

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internal

...

link

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deformation

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may

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actually

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be

...

several

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coincident

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components

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which

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form

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a

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system

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of

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springs

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and

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dashpots.

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F-D

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relationships

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within

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a

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single

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DOF,

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or

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among

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multiple

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DOF,

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may

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be

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coupled

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or

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independent.

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Each

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F-D

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relationship

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is

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defined

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within

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a

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local

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coordinate

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system

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which

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is

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specific

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to

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that

...

link.

...

Links

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may

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be

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of

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zero

...

length,

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as

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is

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the

...

case

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with

...

links

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grounded

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at

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support

...

points.

...

For

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dynamic

...

analysis,

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numerical

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solution

...

requires

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that

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mass

...

m

...

,

...

and

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mass

...

moments

...

of

...

inertia

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mr1

...

,

...

mr2

...

,

...

and

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mr3

...

,

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be

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assigned

...

to

...

a

...

link

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such

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that

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response

...

captures

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translational

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and

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rotational

...

inertia.

...

Half

...

of

...

each

...

of

...

these

...

values

...

will

...

be

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assigned

...

to

...

each

...

joint

...

within

...

a

...

link.

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Internal

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deformation

...

and

...

internal

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forces

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are

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then

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reported

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as

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output

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local

...

to

...

each

...

joint.

...

Additional

...

information

...

is

...

available

...

in

...

the

...

CSI Analysis Reference Manual (The Link/Support Element Basic, page 229) and (The Link/Support Element Advanced, page 253).

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