WOLFRAM SYSTEM MODELER

Motor

Model of a motor with fixed displacement and volumes

Diagram

Wolfram Language

In[1]:=
SystemModel["Hydraulic.PumpsAndMotors.Motor"]
Out[1]:=

Information

This is a model of a motor with volumes, fixed displacement setting, friction, and internal and external leakage. The axial speed is proportional to the flow rate:



The torque is proportional to the pressure difference:



where
:Mass flow rate
:Fluid density
D:Displacement
:Pressure difference between the ports
:Torque
:Angular velocity

Limitations

Volumetric efficiency is not included in the model.

Reference

Industrial Hydraulics Manual, 5th ed., Maumee, OH: Eaton Hydraulics Training Services, 2008 p. 164.

Parameters (8)

medium

Value: Oil()

Type: Medium

Description: Medium in the component

D

Value:

Type: Volume (m³)

Description: Displacement per revolution

externalLeakage

Value: 1e-12

Type: PressureDependentLeakage (m³/(s⋅Pa))

Description: Leakage between cylinders

internalLeakage

Value: 1e-12

Type: PressureDependentLeakage (m³/(s⋅Pa))

Description: Leakage between cylinders

frictionD

Value: 1

Type: RotationalDampingConstant (N⋅m⋅s/rad)

Description: Viscous friction

J

Value: 1

Type: MomentOfInertia (kg⋅m²)

Description: Moments of inertia

tankPressure

Value: 100000.0

Type: Pressure (Pa)

Description: Tank pressure

V

Value: 0.0001

Type: Volume (m³)

Description: Volume

Connectors (3)

port_b

Type: Port_b

Description: Port for hydraulic fluid (unfilled icon)

port_a

Type: Port_a

Description: Port for hydraulic fluid (filled icon)

flange

Type: Flange_a

Description: One-dimensional rotational flange of a shaft (filled circle icon)

Components (13)

medium

Type: Medium

Description: Medium in the component

volume_b

Type: Volume

Description: Fixed volume with fluid storage

volume_a

Type: Volume

Description: Fixed volume with fluid storage

inertia

Type: Inertia

Description: 1D-rotational component with inertia

friction

Type: Damper

Description: Linear 1D rotational damper

pumpMotorVariable

Type: BasicDisplacementMachine

Description: Model of a pump/motor with variable displacement and no volumes

externalLeakage_b

Type: RestrictionLaminar

Description: Laminar restriction using conductance

tank_b

Type: Tank

Description: Simple tank with constant pressure

tank_a

Type: Tank

Description: Simple tank with constant pressure

externalLeakage_a

Type: RestrictionLaminar

Description: Laminar restriction using conductance

internalLeakage_ab

Type: RestrictionLaminar

Description: Laminar restriction using conductance

fixed1

Type: Fixed

Description: Flange fixed in housing at a given angle

const

Type: Constant

Description: Generate constant signal of type Real

Used in Examples (3)

HydrostaticTransmission

Hydraulic.Examples.Rotation

Example circuit of a pump driving a motor

OpenCenterHydraulicSystem

Hydraulic.Examples.Rotation

Example circuit with a pump that unloads to a reservoir when inactive

BrakeCircuit

Hydraulic.Examples.Rotation

Example circuit with a brake valve