WOLFRAM SYSTEMMODELER

Flange_b

1-dim. rotational flange of a shaft (non-filled square icon)

Wolfram Language

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SystemModel["Modelica.Mechanics.Rotational.Interfaces.Flange_b"]
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Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This is a connector for 1-dim. rotational mechanical systems and models the mechanical flange of a shaft. The following variables are defined in this connector:

phi Absolute rotation angle of the shaft flange in [rad]
tau Cut-torque in the shaft flange in [Nm]

There is a second connector for flanges: Flange_a. The connectors Flange_a and Flange_b are completely identical. There is only a difference in the icons, in order to easier identify a flange variable in a diagram. For a discussion on the actual direction of the cut-torque tau and of the rotation angle, see section Sign Conventions in the user's guide of Rotational.

If needed, the absolute angular velocity w and the absolute angular acceleration a of the flange can be determined by differentiation of the flange angle phi:

     w = der(phi);    a = der(w)

Used in Components (76)

MotorWithCurrentControl

Synchronous induction machine with current controller and measurement noise

EMF

Electromotoric force (electric/mechanic transformer)

MechanicalPowerSensor

Mechanical power = torque x speed

EngineV6_analytic

V6 engine with analytic loop handling

GearType1

Motor inertia and gearbox model for r3 joints 1,2,3

GearType2

Motor inertia and gearbox model for r3 joints 4,5,6

Motor

Motor model including current controller of r3 motors

AxisType1

Axis model of the r3 joints 1,2,3

AxisType2

Axis model of the r3 joints 4,5,6

FlangeWithBearingAdaptor

Adaptor to allow direct connections to the sub-connectors of FlangeWithBearing

Revolute

Revolute joint (1 rotational degree-of-freedom, 2 potential states, optional axis flange)

RollingWheelSet

Joint (no mass, no inertia) that describes an ideal rolling wheel set (two ideal rolling wheels connected together by an axis)

JointUSR

Universal - spherical - revolute joint aggregation (no constraints, no potential states)

JointSSR

Spherical - spherical - revolute joint aggregation with mass (no constraints, no potential states)

JointRRR

Planar revolute - revolute - revolute joint aggregation (no constraints, no potential states)

RevoluteWithLengthConstraint

Revolute joint where the rotation angle is computed from a length constraint (1 degree-of-freedom, no potential state)

Mounting1D

Propagate 1-dim. support torque to 3-dim. system (provided world.driveTrainMechanics3D=true)

Rotor1D

1D inertia attachable on 3-dim. bodies (3D dynamic effects are taken into account if world.driveTrainMechanics3D=true)

RotorWith3DEffects

1D inertia attachable on 3-dim. bodies (3D dynamic effects are taken into account)

BevelGear1D

1D gearbox with arbitrary shaft directions and 3-dim. bearing frame (3D dynamic effects are taken into account provided world.driveTrainMechanics3D=true)

RollingWheelSet

Ideal rolling wheel set consisting of two ideal rolling wheels connected together by an axis

SpringDamperNoRelativeStates

Linear 1D rotational spring and damper in parallel (phi and w are not used as states)

Fixed

Flange fixed in housing at a given angle

Inertia

1D-rotational component with inertia

Disc

1-dim. rotational rigid component without inertia, where right flange is rotated by a fixed angle with respect to left flange

Spring

Linear 1D rotational spring

Damper

Linear 1D rotational damper

SpringDamper

Linear 1D rotational spring and damper in parallel

ElastoBacklash

Backlash connected in series to linear spring and damper (backlash is modeled with elasticity)

ElastoBacklash2

Backlash connected in series to linear spring and damper (backlash is modeled with elasticity; at start of contact the flange torque can jump, contrary to the ElastoBacklash model)

BearingFriction

Coulomb friction in bearings

Brake

Brake based on Coulomb friction

Clutch

Clutch based on Coulomb friction

OneWayClutch

Series connection of freewheel and clutch

IdealGear

Ideal gear without inertia

LossyGear

Gear with mesh efficiency and bearing friction (stuck/rolling possible)

IdealPlanetary

Ideal planetary gear box

Gearbox

Realistic model of a gearbox (based on LossyGear)

InitializeFlange

Initializes a flange with pre-defined angle, speed and angular acceleration (usually, this is reference data from a control bus)

Set_phi_start

Set phi_start

Set_w_start

Set w_start

Set_a_start

Set a_start

Set_flange_tau

Set flange.tau to zero

RelativeStates

Definition of relative state variables

AngleToTorqueAdaptor

Signal adaptor for a Rotational flange with torque as output and angle, speed, and optionally acceleration as inputs (especially useful for FMUs)

Move_phi

Forced movement of a flange according to an angle signal

Move_w

Forced movement of a flange according to an angle and speed signal

RelAngleSensor

Ideal sensor to measure the relative angle between two flanges

RelSpeedSensor

Ideal sensor to measure the relative angular velocity between two flanges

RelAccSensor

Ideal sensor to measure the relative angular acceleration between two flanges

TorqueSensor

Ideal sensor to measure the torque between two flanges (= flange_a.tau)

PowerSensor

Ideal sensor to measure the power between two flanges (= flange_a.tau*der(flange_a.phi))

MultiSensor

Ideal sensor to measure the torque and power between two flanges (= flange_a.tau*der(flange_a.phi)) and the absolute angular velocity

Position

Forced movement of a flange according to a reference angle signal

Speed

Forced movement of a flange according to a reference angular velocity signal

Accelerate

Forced movement of a flange according to an acceleration signal

Move

Forced movement of a flange according to an angle, speed and angular acceleration signal

Torque

Input signal acting as external torque on a flange

Torque2

Input signal acting as torque on two flanges

LinearSpeedDependentTorque

Linear dependency of torque versus speed

QuadraticSpeedDependentTorque

Quadratic dependency of torque versus speed

ConstantTorque

Constant torque, not dependent on speed

SignTorque

Constant torque changing sign with speed

ConstantSpeed

Constant speed, not dependent on torque

TorqueStep

Constant torque, not dependent on speed

PartialTwoFlanges

Partial model for a component with two rotational 1-dim. shaft flanges

PartialOneFlangeAndSupport

Partial model for a component with one rotational 1-dim. shaft flange and a support used for graphical modeling, i.e., the model is build up by drag-and-drop from elementary components

PartialTwoFlangesAndSupport

Partial model for a component with two rotational 1-dim. shaft flanges and a support used for graphical modeling, i.e., the model is build up by drag-and-drop from elementary components

PartialCompliant

Partial model for the compliant connection of two rotational 1-dim. shaft flanges

PartialCompliantWithRelativeStates

Partial model for the compliant connection of two rotational 1-dim. shaft flanges where the relative angle and speed are used as preferred states

PartialElementaryOneFlangeAndSupport

Obsolete partial model. Use PartialElementaryOneFlangeAndSupport2.

PartialElementaryOneFlangeAndSupport2

Partial model for a component with one rotational 1-dim. shaft flange and a support used for textual modeling, i.e., for elementary models

PartialElementaryTwoFlangesAndSupport

Obsolete partial model. Use PartialElementaryTwoFlangesAndSupport2.

PartialElementaryTwoFlangesAndSupport2

Partial model for a component with two rotational 1-dim. shaft flanges and a support used for textual modeling, i.e., for elementary models

PartialTorque

Partial model of a torque acting at the flange (accelerates the flange)

PartialRelativeSensor

Partial model to measure a single relative variable between two flanges