modelBearing

Model of angular velocity dependent friction losses. Atan function is used to obtain a continous model. Static friction is zero

Extends from Modelica.Electrical.Machines.Interfaces.FlangeSupport (Shaft and support), Modelica.Mechanics.Translational.Interfaces.PartialRigid (Rigid connection of two translational 1D flanges).

Information

The friction losses are considered by the equations

   tau / tauRef = (+w / wRef) ^ power_w    for w > +wLinear
 - tau / tauRef = (-w / wRef) ^ power_w    for w < -wLinear

with

  tauRef * wRef = PRef

being the friction torque at the referenc angular velocity wRef. The exponent power_w is approximately 1.5 for axial ventilation and approximately 2.0 for radial ventilation.

For stability reasons the friction torque tau is approximated by a linear curve

  tau / tauLinear = w / wLinear

with

  tauLinear = tauRef*(wLinear/wRef) ^ power_w

in the range -wLinear ≤ w ≤ wLinear with wLinear = 0.001 * wRef. The relationship of torque and angular velocity is depicted in Fig. 1

Fig. 1: Friction loss torque versus angular velocity for power_w = 2

See also

FrictionParameters

If it is desired to neglect friction losses, set frictionParameters.PRef = 0 (this is the default).

Parameters

TypeNameDefaultDescription
SI.LengthL (from PartialRigid)Length of component, from left flange to right flange (= flange_b.s - flange_a.s)
Realeps0.1
SI.CoefficientOfFrictionmu0.006Friction coefficient
SI.DiameterdDiameter of Bearing
SI.ForceF_pr0Preload force
SI.AngularVelocityw_ref10Angular velocity after which the friction torque can is approx. equal to (1-eta)*flange_a.tau

Connectors

TypeNameDefaultDescription
Modelica.Mechanics.Rotational.Interfaces.Flange_aflange (from FlangeSupport)Shaft end
Modelica.Mechanics.Rotational.Interfaces.Flange_asupport (from FlangeSupport)Housing and support
Flange_aflange_a (from PartialTwoFlanges)(left) driving flange (flange axis directed into cut plane, e. g. from left to right)
Flange_bflange_b (from PartialTwoFlanges)(right) driven flange (flange axis directed out of cut plane)

Components

TypeNameDefaultDescription
SI.Anglephi (from FlangeSupport)Angle between shaft and support
SI.Torquetau (from FlangeSupport)Torque
SI.AngularVelocityw (from FlangeSupport)Relative angular velocity of flange and support
SI.Positions (from PartialRigid)Absolute position of center of component (s = flange_a.s + L/2 = flange_b.s - L/2)
SI.ForceF_axAxial force on bearing