modelToothedBeltAxis

Model of a toothed belt axis from suppliers such as Festo

Parameters

TypeNameDefaultDescription
Geometric data
SI.Diameterd0.01846Diameter of wheel
SI.Diameterl1Working stroke
Physical data
Integern_slides1Number of slides
SI.ForceF_Fr8No load resistance to shifting
Realexpan9.4e-4Expansion at max. feed force of toothed belt
SI.TranslationalSpringConstantc_axF_perm/(expan*l)Rigidity of toothed belt
Physical data (Inertia)
SI.MomentOfInertiaJ_016.94e-6Moment of inertia of wheels
RealJ_H2.6e-6Moment of inertia per metre stroke
SI.MomentOfInertiaJ_W3.56e-6Moment of inertia of each additional slides
SI.MomentOfInertiaJ_F0Moment of inertia of clamping unit
Calculated › Physical data
SI.MomentOfInertiaJJ_0 + n_slides*J_W + l*J_H + J_FMoment of inertia of axis
Limiting data
SI.ForceF_perm50Maximum feed force (Catalogue value)
SI.Accelerationa_perm50Maximum acceleration (Catalogue value)
SI.Velocityv_perm3Maximum velocity (Catalogue value)
SI.Frequencyf_min10Minimum eigenfrequncy of axis. Constraint f_bs > f_min
Engineering data
SI.Massm_ref1000Reference mass for eigenfrequency
Calculated › Engineering data
SI.Frequencyf_bs1/(2*Constants.pi)*sqrt(c_ax/m_ref)Eigenfrequncy of axis

Connectors

TypeNameDefaultDescription
Modelica.Mechanics.Rotational.Interfaces.Flange_aflange_rLeft flange of shaft
Modelica.Mechanics.Translational.Interfaces.Flange_bflange_ax

Components

TypeNameDefaultDescription
SI.Forcecon_F_axConstraint for axial force
SI.Accelerationcon_aConstraint for acceleration
SI.Velocitycon_vConstraint for velocity
SI.Frequencycon_fConstraint for eigenfrequncy of axis
Modelica.Mechanics.Rotational.Components.IdealGearR2TidealGearR2T
Modelica.Mechanics.Rotational.Components.Inertiainertia
TranslationalComponents.Sensors.TranslationalSensors
TranslationalComponents.NoLoad_FrictionFriction