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Torque Limiter

1-D Rotational Torque Limiter

 

Description

Equations

Variables

Connections

Parameters

Description

The Torque Limiter component limits the positive and negative torque transmitted between two rotational flanges.

The torque limits can either be set by parameters or controlled via input signals.

The parameters 'dtau/dw' and 'dw/dtau' set the slope and inverse slope of the torque vs relative velocity curve in the limiting and non-limiting regions, respectively.

The parameters d and J add damping and inertia to the relative angular motion between the two flanges.

Equations

φrel=φbφa

wrel=dφdt={sτ2+w2minlimitedsτ1+w1maxlimitedw1.sτ2w2.sτ1τ1τ2otherwise

τ=τa=τb=dwrel+Jdwreldt+{τ2+sw2'dtau/dw'minlimitedτ1+sw1'dtau/dw'maxlimitedsotherwise

τ1={tauxmaxuse taumax inputτmaxotherwise

τ2={tauxminuset aumin inputτminotherwise

w1='dw/tau'τ1

w2='dw/tau'τ2

maxlimited&equals;s<τ1

minlimited&equals;τ2<s

Variables

Name

Units

Description

Modelica ID

φrel

rad

Relative rotation angle

phi_rel

τ

Nm

Torque between flanges

tau

wrel

rads

Relative angular velocity of flanges

w_rel

Connections

Name

Description

Modelica ID

flangea

Left flange

flange_a

flangeb

Right flange

flange_b

taumax

Optional real input signal that sets maximum torque (N·m)

taumax

taumin

Optional real input signal that sets minimum torque (N·m)

taumin

Parameters

Name

Default

Units

Description

Modelica ID

Use τmax input

false

 

True (checked) means use input signal to set maximum torque

useTauMaxInput

Use τmin input

false

 

True (checked) means use input signal to set minimum torque

useTauMinInput

τmax

+1

Nm

Maximum torque

tau_max

τmin

−1

Nm

Minimum torque

tau_min

d

0

Nmsrad

Rotational damping constant

d

J

0

kgm2

Rotational inertia

J

'dtau/dw'

0

Nmsrad

Slope of τ vs wrel curve when torque limited

'dtau/dw'

'dw/dtau'

0

radNms

Inverse slope of τ vs wrel curve when not torque limited

'dw/dtau'

See Also

1-D Mechanical Overview

Rotational Clutches and Brakes