Nip Roller S-Wrap - MapleSim Help
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Nip Roller S-Wrap

Nip roller with wrapped web

 

Description

Usage

Equations

Connections

Parameters

Summary Variables

Description

The Nip Roller S-Wrap component models a pair of rollers, a nip and a roller, in which the web wraps around and through the rollers.

Usage

The Nip Roller S-Wrap component must be between two Span components.

The Nip Roller S-Wrap pulls the web without slippage using 1D rotational flange flangec1 or flangec2 under torque or velocity control.

The Nip Roller S-Wrap is similar to the Nip Roller component; the difference is in the tangent points and the web path between the two rollers.

Equations

Consider the two rollers shown below:

Assume the web velocity goes through a discontinuous change at the b (right) boundary.

Ta

Upstream tension

Tb

Downstream tension

va

Upstream speed

vb

Downstream speed

τ1,τ2

Motor torque applied to roller 1, 2

R1,R2

Roller 1 effective radius

ω1,ω2

Roller angular velocity

J1,J2

Moment of inertia of roller 1 and 2

b

Bearing damping coefficient

W

Web width

β

Wrap angle

Under no-slip assumption, we have:

va=vb=R1ω1=R2ω2

1R1J1dω1dt+1R2J2dω2dt+b1R1ω1+1R2ω2={1R1τ1Ta+TbSide=11R2τ2Ta+TbSide=2

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

flangec1

Roller rotation flange; enabled when Side=1

flange_c1

flangec2

Roller rotation flange; enabled when Side=2

flange_c2

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

Name

Default

Units

Description

Modelica ID

Side

1

 

Select actuated roller: 1 or 2

side

Order

1 to 2

 

Select order in which web wraps around the two rollers

order

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

D1

0.2

m

Diameter of roller 1

D1

Di1

0

m

Inner diameter of roller 1

Di1

D2

D1

m

Diameter of roller 2

D2

Di2

0

m

Inner diameter of roller 2

Di2

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

m1

1

kg

Roller 1 mass; enabled when not using cylindrical geometry

m1

m2

1

kg

Roller 2 mass; enabled when not using cylindrical geometry

m2

J1

0.005

kgm2

Roller 1 rotational inertia; enabled when not using cylindrical geometry

J1

J2

0.005

kgm2

Roller 2 rotational inertia; enabled when not using cylindrical geometry

J2

d

0

Nmsrad

Bearing viscous damping constant (both rollers)

d

Frame

Name

Default

Units

Description

Modelica ID

Reference frame

Middle of the gap

 

Select option for the location of the framec (holder). There are three options available: Middle of the gap, Center of roller 1, and Center of roller 2

Ref_pos

mf

1

kg

Frame mass

m_frame

Jf

0.01

kgm2

Frame inertia

J_frame

Y

0

m

Offset from the reference point in the Y direction

Y

Visualization

Name

Default

Units

Description

Modelica ID

Show roller 1

true

 

When checked (true), a visualization of roller 1 is created

showVisualization_roller

Show roller 2

true

 

When checked (true), a visualization of roller 2 is created

showVisualization_second

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 frame

false

 

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

showVisualization_frame

Transparent frame

false

 

When checked (true), the roller visualization is transparent

transparent_frame

Frame color

Orange

 

Frame color

color_frame

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