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Translational Position

Forced movement of a flange according to a reference position

 

Description

Equations

Variables

Connections

Parameters

Constants

Modelica Standard Library

Description

The Translational Position (or Position) component generates a forced translation at the flange according to an input signal, sref

The Exact boolean parameter determine how sref is used:

When Exact is true, sref is used as-is. The input signal must be twice-differentiable.

When Exact is false (the default), sref is filtered and the second derivative of the filtered curve is used to compute the reference acceleration of the flange. This second derivative is not computed by numerical differentiation but rather by a second-order Bessel filter. The critical frequency of the filter (cut-off frequency) is defined by the parameter fcrit. This frequency should be higher than the essential low frequencies in the signal.

The Use Support Flange boolean parameter enables a support flange on the housing. When true (checked) the support flange must be connected in the drawing. When false the component is internally fixed to ground.

Equations

{{s=srefv=0a=0exact{a=srefswcritafvwcritbfv.=as.=votherwise

wcrit=2πfcrit

if Use Support Flange then fsupport=f

s=sflange{ssupportUse Support0otherwise

Variables

Name

Units

Description

Modelica ID

a

ms2

If Exact is false, absolute acceleration of flange else 0

a

f

N

Accelerating force acting at flange

f

fsupport

N

Force acting at support

support.f

s

m

Distance between flange and support

s

sflange

m

Position of flange

flange.s

ssupport

m

Position of support

support.s

v

ms

If Exact is false, absolute velocity of flange else 0

v

Connections

Name

Description

Modelica ID

flange

Flange of component

flange

sref

Real input; reference position of flange in m

s_ref

support

Conditional Support Flange

support

Parameters

Name

Default

Units

Description

Modelica ID

Exact

false

 

True (checked) means the reference position is treated exactly

exact

fcrit

50

Hz

Critical frequency of input signal when exact is set to false

f_crit

Use Support Flange

false

 

True (checked) means the support flange is enabled

useSupport

Constants

Name

Value

Units

Description

Modelica ID

af

1.3617

1

Coefficient of s in Bessel filter

af

bf

0.618

1

Coefficient of s2 in Bessel filter

bf

Modelica Standard Library

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

1-D Mechanical Overview

Translational Motion Drivers