Roller Detailed - MapleSim Help
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Roller Detailed

Roller with slippage

 

Description

Usage

Equations

Connections

Parameters

Summary Variables

Description

The Roller Detailed component models a pull roller with slippage.

Usage

The Roller component must be between two Span components. Using the provided 1D rotational flange (flange_c), the Roller component models a pull roller. Without any applied torque or setpoint velocity, the Roller models an idler roller.

Equations

The Roller Detailed component uses a series of spans internally to capture the changing nature of the web/roller interaction over the contact arc. Each span is subjected to friction on its nodes which are calculated from the span tension resultant fn and the coefficient of friction.

Consider one of the discretizing spans that cover 1n of the contact arc (where n is a component parameter).

Tension

tbtaμfn=0

Torque Transfer

τ=Rtbta

where

ta

Upstream tension

tb

Downstream tension

va

Upstream speed

vb

Downstream speed

τ

Friction torque applied to the roller by the span

R

Roller effective radius

ωr

Roller angular velocity

v0

Smoothing velocity value

Coefficient of Friction

The signed coefficient of friction is defined as

μ=μdvrel+μctanhvrelv0

where

vrel=Rωrva

See Span and Roller for further details.

Connections

Name

Description

Modelica ID

framea

Left web 3-D connection point

frame_a

frameb

Right web 3-D connection point

frame_b

framec

Roller holder base frame; enabled when Use fixed base = false

frame_c

weba

Left (entry) web transfer information port (blue)

web_a

webb

Right (exit) web transfer information port (green)

web_b

flangec

Roller rotation flange

flange_c1

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

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 and the roller frame is fixed in the inertial coordinate frame (addition position and orientation parameters are enabled instead)

useFixedBase

r

0,0

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

Roller

Name

Default

Units

Description

Modelica ID

D

0.2

m

Diameter of roller

D

Use CAD

false

 

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

useCAD

Di

0

m

Inner diameter of roller

Di

L

1.2

m

Roller length

L

Use cylindrical geometry

true

 

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

useCylindricalGeometry

ρ

2.7·103

kgm3

Roller density; enabled when using cylindrical geometry

rho_roll

m

1

kg

Roller mass; enabled when not using cylindrical geometry

m

J

0.005

kgm2

Roller rotational inertia; enabled when not using cylindrical geometry

J

d

0

Nmsrad

Bearing viscous damping constant

d

Friction Parameters

Name

Default

Units

Description

Modelica ID

μc

0.2

 

Coulomb coefficient of friction between web and roller

mu_c

μd

0

 

Viscous coefficient of friction between web and roller

mu_d

v0

1·10−4

ms

Smoothing function scale, i.e. tanh(v_rel/v0)

v0

ndiv

5

 

Number of segments

nDiv

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,D2

m

Offset in the XY plane; enabled when Add frame offset is true

rf

Visualization Parameters

Name

Default

Units

Description

Modelica ID

Show roller

true

 

When checked (true), a visualization of the roller is created

showVisualization_roller

Transparent roller

false

 

When checked (true), the roller visualization is transparent

transparent_roller

Roller color

Blue

 

Roller color

color_roller

Band color

Yellow

 

Band color

color_band

Band angle

20

deg

Band angle

band_angle

Show contact forces

false

 

When checked (true), arrows are added to visualize discretized web/roller contact forces (normal + friction)

showContactForce

Scale

100

mN

Force scale

forceScale

Color

Red

 

Force arrow color

forceColor

Transparency

false

 

Force arrow transparency

forceTransparent

Show sliding velocity arrows

false

 

When checked (true), an arrow is added to visualize local web/roller sliding velocity

showSlidingVelocity

Scale

0.01

s

Speed scale

speedScale

Color

Green

 

Speed arrow color

speedColor

Transparency

false

 

Speed arrow transparency

speedTransparent

Advanced Settings

Name

Default

Units

Description

Modelica ID

Use effective radius

false

 

When checked (true), the roller radius is padded with half the web thickness

useEffectiveRadius

Summary Variables

Name

Units

Description

Modelica ID

summary_WrapAngle

rad

Wrap angle

summary_WrapAngle

summary_Length

m

Length of the web in contact with roller

summary_Length

See Also

Rollers

Web Handling Library