modelViscoelasticSlab

Model of a viscoelastic material, using fractional derivatives

Extends from Modelica.Mechanics.Translational.Interfaces.PartialCompliantWithRelativeStates (Base model for the compliant connection of two translational 1-dim. shaft flanges where the relative position and relative velocities are used as states).

Parameters

TypeNameDefaultDescription
Realk1e6ViscoelasticityConstant
Reallambda0.5Alpha (0 = elastic, 1 = viscous)
Modelica.SIunits.Positions_rel01Unstretched slab length
Modelica.SIunits.AreaA0.01Area of slab [m^2]
Advanced
StateSelectstateSelect (from PartialCompliantWithRelativeStates)StateSelect.preferPriority to use s_rel and v_rel as states
SI.Distances_nominal (from PartialCompliantWithRelativeStates)1e-4Nominal value of s_rel (used for scaling)

Connectors

TypeNameDefaultDescription
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.Positions_rel (from PartialCompliantWithRelativeStates)Relative distance (= flange_b.s - flange_a.s)
SI.Velocityv_rel (from PartialCompliantWithRelativeStates)Relative velocity (= der(s_rel))
SI.Forcef (from PartialCompliantWithRelativeStates)Forces between flanges (= flange_b.f)
Approximations.OustaloupOperatorpartialder