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Mass With Stop And Friction

Sliding mass with hard stop and Stribeck friction

 

Description

Variables

Connections

Parameters

Modelica Standard Library

Description

The Mass With Stop And Friction component models a mass sliding with friction on a fixed surface and with perfectly plastic stops in both directions. A finite state machine ensures that the mass transitions correctly from stuck to sliding.

The distance between the left and right flanges is given by parameter L. The coordinate s  corresponds to the midpoint of the two flanges.

L=sasbs=12sa+sbv=s.a=v.

With the mass sliding in the positive direction, the frictional force is

f=FCoulomb+Fpropv+FStribeckexpfexpv

When the velocity goes to zero, the mass becomes stuck. It resumes sliding when the magnitude of the applied force exceeds the maximum static friction force,

f0=FCoulomb+FStribeck

Variables

Name

Units

Description

Modelica ID

a

ms2

Acceleration of center of mass

a

s

m

Position of center of mass

s

sx

m

Position of flange x,xa,b

flange_x.s

v

ms

Velocity of center of mass

v

Connections

Name

Description

Modelica ID

flangea

Left flange of translational component

flange_a

flangeb

Right flange of translational component

flange_b

heatPort

Optional heat port

heatPort

Parameters

General Parameters

Name

Default

Units

Description

Modelica ID

smax

25

m

Right stop for (right end of) sliding mass

smax

smin

−25

m

Left stop for (left end of) sliding mass

smin

L

0

m

Length of component, from left flange to right flange

L

m

1

kg

Mass

m

Fprop

1

Nsm

Velocity-dependent friction

F_prop

FCoulomb

5

N

Constant friction: Coulomb force

F_Coulomb

FStribeck

10

N

Stribeck effect

F_Stribeck

fexp

2

Nsm

Exponential decay

fexp

Use Heat Port

false

 

True (checked) means heat port is enabled

useHeatPort

Advanced Parameters

Name

Default

Units

Description

Modelica ID

vsmall

0.001

ms

Relative velocity near zero

v_small

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 Friction and Stops