Unwind Drum - MapleSim Help
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Unwind Drum

Unwind drum component

 

Description

Usage

Equations

Connections

Parameters

Summary Variables

Description

The Unwind Drum component models an unwind drum with variable roll radius and inertia.

Usage

The Unwind Drum component must be at the start of a web line.

Using the provided 1D rotational flange (flange_c) the Unwind Drum component can be equipped with a motor or a brake.

Equations

Consider the drum shown below:

Tb

Downstream tension

vb

Downstream speed

τ

Motor torque (= zero if modeling an idler roller)

ω

Angular velocity (positive means unwind)

Rc

Core radius

Rt

Instantaneous roll radius

dB

Bearing damping coefficient

th

Web thickness

W

Web width

The time-varying roll radius is given by the following differential equations:

dRtdt&equals;{ωth2πUse stepwise&equals;falseωth2&delta;__&phi;0<φ<&delta;__&phi;0otherwise

where φ is the rotation of the drum between 0 and 2π. When the Use stepwise option is selected, the roll radius decreases only over a portion of each turn defined by δφ.

TbRt&equals;τmJtdω1dtdBω&semi;

vb&equals;Rω

The roll inertia consists of the core inertia, Jc, and roll variable inertia, Jt:

Jt&equals;Jc&plus;π2ρWRt4Rc4

Note: If RtRc, an assertion is triggered, terminating the simulation.

Connections

Name

Description

Modelica ID

frameb

Right web 3-D connection point

frame_b

framec

Drum holder base frame; enabled when Use fixed base&equals;false

frame_c

framed

Drum frame (for attaching CAD)

frame_d

webb

Exit web transfer information port

web_b

flangec

Drum rotation flange

flange_c

Rmax

Real output; drum and web radius [m]

Rmax

eccin

Eccentricity signal (in meters)

ecc_in

reset

Boolean signal to trigger roll radius reset

reset

Parameters

Web Properties

Name

Default

Units

Description

Modelica ID

Use Default Properties (WP1)

true

 

When checked (true), web properties are defined by the closest Web Properties block found

useDefault

Web Properties

WP1

 

Name of the record containing the web properties (enabled when Use default properties = false)

wp

Drum

Name

Default

Units

Description

Modelica ID

Dinit

0.4

m

Initial roll diameter

D_init

D

0.1

m

Core diameter

D

Di

0

m

Core inner diameter

Di

L

1.2

m

Drum length

L

Use cylindrical geometry

true

 

When checked (true), roller inertia is calculated assuming a uniform cylindrical geometry

useCylindricalGeometry

ρ

2.7·103

kgm3

Drum core density; enabled when using cylindrical geometry

rho_roll

m

1

kg

Drum mass; enabled when not using cylindrical geometry

m

J

0.005

kgm2

Drum rotational inertia; enabled when not using cylindrical geometry

J

d

0

Nmsrad

Bearing viscous damping constant (both rollers)

d

Use CAD

false

 

When checked (true), mass and inertia are defined from an externally attached CAD component or a rigid body component

useCAD

Use reset

false

 

The roll diameter is reset to D_init with an external signal

useReset

Use stepwise

false

 

When checked (true), the roll diameter is changed over a portion of each rotation (instead of changing continuously)

useStepwise

φ0

0

deg

Offset of angle; enabled when Use stepwise is true

phi0

δφ

90

deg

Merge angle; enabled when Use stepwise is true

phi1

Settings Parameters

Name

Default

Units

Description

Modelica ID

Use alternative configuration

false

 

Choose between two possible solutions for the web/roll configuration

useAltConfig

Flip direction

false

 

Use this option when building web lines that go from right to left

flipDirection

Use fixed base

false

 

When checked (true), frame_c is disabled, the frame is fixed in the inertial coordinate frame, and position and/or orientation parameters are enabled

useFixedBase

r

0&comma;0

m

Location of frame_b with respect to ground. Available when Use fixed base = true

InitPos

θ

0

deg

Rotation about z-axis. Available when Use fixed base = true

InitAng

Enable radius sensor

false

 

When checked (true), drum outer radius is provided via an output signal

useSensor

Drum

Name

Default

Units

Description

Modelica ID

Dinit

0.4

m

Initial roll diameter

D_init

D

0.1

m

Core diameter

D

Di

0

m

Core inner diameter

Di

L

1.2

m

Drum length

L

Use cylindrical geometry

true

 

When checked (true), roller inertia is calculated assuming a uniform cylindrical geometry

useCylindricalGeometry

ρ

2.7·103

kgm3

Drum core density; enabled when using cylindrical geometry

rho_roll

m

1

kg

Drum mass; enabled when not using cylindrical geometry

m

J

0.005

kgm2

Drum rotational inertia; enabled when not using cylindrical geometry

J

d

0

Nmsrad

Bearing viscous damping constant (both rollers)

d

Use CAD

false

 

When checked (true), mass and inertia are defined from an externally attached CAD component or a rigid body component

useCAD

Use reset

false

 

The roll diameter is reset to D_init with an external signal

useReset

Use stepwise

false

 

When checked (true), the roll diameter is changed over a portion of each rotation (instead of changing continuously)

useStepwise

φ0

0

deg

Offset of angle; enabled when Use stepwise is true

phi0

δφ

90

deg

Merge angle; enabled when Use stepwise is true

phi1

Eccentricity

Name

Default

Units

Description

Modelica ID

Add eccentricity

false

 

When checked (true), a parameter is enabled for the roller eccentricity

addEccentricity

Use input

false

 

When checked (true), eccentricity is given by an input signal in meters

useInputEccentricity

e

0

m

Roller eccentricity

ecc

θ0

0

deg

Initial eccentricity angle

theta_ecc0

Frame

Name

Default

Units

Description

Modelica ID

mf

1

kg

Frame mass

m_frame

Jf

0.01

kgm2

Frame inertia

J_frame

Add frame offset

false

 

When checked (true), frame connection point is placed at an offset w.r.t. the roll center

addFrameOffset

rf

0&comma;D2

m

Offset in the XY plane

rf

Visualization

Name

Default

Units

Description

Modelica ID

Show drum visualization

true

 

When checked (true), a visualization is produced for the drum

showVisualization_drum

Transparent drum

false

 

When checked (true), the drum visualization is transparent

transparent_drum

Drum color

Blue

 

Color of the drum

color_drum

Band color

Yellow

 

Color of a radial band on the drum

color_band

Band angle

20

deg

Band angle

band_angle

Show reaction force arrow

false

 

When checked (true) an arrow is shown for the reaction force

showReactionForce

Force arrow scale

1000

 

Force scale (N to M)

forceScale

Force arrow color

Cyan

 

Force arrow color

forceColor

Force arrow transparency

false

 

When checked (true), the force arrow is transparent

forceTransparent

Show reaction torque arrow

false

 

When checked (true) an arrow is shown for the reaction torque

showReactionTorque

Torque arrow scale

100

 

Torque scale (N to M)

torqueScale

Torque arrow color

Magenta

 

Torque arrow color

torqueColor

Torque arrow transparency

false

 

When checked (true), the torque arrow is transparent

torqueTransparent

Summary Variables

Name

Units

Description

Modelica ID

summary_Radius

m

Roll radius

summary_Radius

summary_Layers

 

Number of layers

summary_Layers

See Also

Sources and Sinks

Web Handling Library