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A 20-year experience with LMS Amesim:
the simulation of positive displacement pumps
Naples, June 27, 2016
Massimo Rundo
Politecnico di Torino – Dipartimento Energia
Fluid Power Research Laboratory
New Trends in Fluid Power
Design & Simulation Symposium
2/25
FPRL at a glance
- 1st course of Fluid Power in Italy (1979)
- 1979 - 2016: about 9500 students
- From 2014: 2 courses in English at M.Sc.
- More than 100 M.Sc. theses
- About 100 scientific papers
- Development of simulation models of
positive displacement machines and valves
Research
Didactics
Laboratory
- 1985: construction of the 1st Lab
- 2005: completion of the new Lab
www.fprl.polito.it 
3/25
Test facilities
LUBRICATING PUMPS TEST RIG PUMPS AND MOTORS TEST RIG SERVOVALVES TEST RIG
LOAD SENSING TEST RIG
with steering unit and 
hydraulic winch
CENTRAL 
HYDRAULIC
UNITSDIDACTIC TEST RIGS OTHER RIGS
4/25
Industrial research collaborations
(from 1996, 13 contracts, for a total of about 12 years) 
(from 2000, 9 contracts)
(3 contracts)
(2 contracts)
(2 contracts)
5/25
The experience with LMS Amesim
‐ Users since 1995 with v0.3 
‐ 1998: 1st international publication on gerotor pump
‐ 2000: presentation at the 1st AMESim Users’ Conference in Paris
‐ Since 2006 used by the students in didactic laboratories
‐ Several customized libraries created in Ameset
6/25
Systems/components studied with Amesim
Detailed 1D modelling of positive displacement machines (with customized libraries)
• 1997: Gerotor pumps 
• 1999: External gear pumps 
• 2000: Swash plate and bent axis pumps, also in cosimulation with MSC Adams (2006)
• 2001: Vane pumps, also in cosimulation with MSC Adams (2008)
• 2005: Crescent pumps  ‐ Swash plate motors
• 2012: Single vane vacuum pumps
Vehicle systems
• 1999: Variable  Valve  Actuation   ‐ Electro hydraulic braking system
• 2002: Lubrication circuit, also aeronautical (2001)
• 2004: Clutch actuation   ‐ Steering units
Mobile hydraulics
• 2001: Hydrostatic  transmissions 
• 2006: Load sensing proportional valves
• 2011: Excavator and telehandler hydraulic circuits (coupled simulation with LMS Virtual Lab)
Industrial hydraulics
• 2001: Hydraulic power unit for hydroforming system
7/257/
Equivalent hydraulic circuit
Need to evaluate
the geometric
features
N variable
chambers
Delivery
volume
Suction
volume
Flow areas Flow areas
drainInternal
leakages
J
J+1
Gerotor
machine
Variable
chambers
The simulation of a positive displacement machine
Flow area
volume
areaarea
j‐th chamber
• Hydraulic volume: continuity equation
• Hydraulic resistance: flow equation
8/25
The vector approach
multistage pump 
built using the 
supercomponent
facility
(30 chambers !)
MANCO’ S., NERVEGNA N., RUNDO M., et Al. “Gerotor Lubricating Oil Pump for IC Engines”, 
SAE Transactions, Journal of Engines 107(3), 1998
flow areas
leakages
geometric features
N variable volume chambers in parallel
The number of chambers is a parameter
Hydraulic vector lines
1997
9/25
Numerical evaluation of geometric features
Procedure valid for any shape of the port plate: profiles are supplied as XY data table
port profile Flow area
Numerical technique used to calculate the flow area vs. angle:
• Discretization of the domain
• Calculation of number of elementary cells belonging to both closed lines
• Interpolation of the flow area
chamber profile
Gerotor pump
10/25
Automatic CAD method
CARCONI G., D’ARCANO C., NERVEGNA N., RUNDO M.: “Geometric Features of Gerotor Pumps: Analytic vs 
Cad Methods”, Bath/ASME Symposium on Fluid Power & Motion Control, Sept. 12‐14, 2012, Bath, UK
Based on commercial CAD software PTC Creo Elements/Pro (formerly Pro/ENGINEER)
1. Creation of:
• Assembly parts
• Constraints
• Global parameters
• Relations (correct movement)
2. Creation of virtual parts (fluid volume):
• Chamber volume
• Suction / Delivery
• Inter-sections
3. Evaluation of geometric quantities:
• Analysis features
• Relational features
• Numerical derivation
• Simulation
area volume
11/25
inlet
outlet
A B
Variable flow gerotor pump2000
Early Closing
Inlet Port
Delayed Closing
Delivery Port
Timing can be varied with respect to the gearing
DCDP
The end of the delivery phase is progressively delayed
The flow area is also function of the sector position
Flow rate vs. sector position
NERVEGNA N., MANCO' S., RUNDO M.: “Variable Flow Internal Gear Pump”, 
ASME International Mechanical Engineering Congress and Exposition, New York, 11‐16 November, 2001
Piston linked
to the sector
12/25
Selection of the control volumes
delivery volume
variable chambers
inlet volume
trapped
volume
constant
volumes
flow area
3 variable volumes
2N+2 variable volumes
Inlet/delivery volumes 
include connected 
chambers
A control volume is 
associated to the space 
between two teeth and 
connected to inlet/delivery 
volumes through flow areas
delivery
phase
suction
phase
Simulated chamber pressure
External gear pump
inlet volume
13/25
Model validation
Miniature 
pressure 
transducer
chambers
inlet
outlet
geometry
driving gear
(10 chambers)
driven gear
(10 chambers)
2005
Model with 2N+2 variable volumes
Chamber pressure
14/25
Internal gear pump modelling
The approach with only 3 variable volumes is suitable for the evaluation of the pressure ripple
Volume derivatives
(analytic expressions)suction volume
delivery 
volume
trapped volume
15/25
Interaction between bodies (analytic approach)
Contact vane‐stator in a vane pump (detachment analysis) 
2001
Force equilibrium on each vane:
MANCO' S., NERVEGNA N., RUNDO M., ARMENIO G., “Modelling and Simulation of Variable Displacement 
Vane Pumps for IC Engine Lubrication”, SAE World Congress, 8‐11 Mar. 2004, Detroit, USA
Fr = reaction forces
Fp = pressure forces
Ff = friction forces
Fc = centrifugal force
x
( ) ( ) ....mx j cx j  
Endstops management (contact with stator track)
If contact  evaluation of contact force on the stator  contribution to the stator equilibrium
If detachment  evaluation of the leakage on vane tip  influence on the chamber pressures
Small movements of mechanical parts  influence on leakages
16/25
Multibody simulation (fuel pump)
fluid viscosity ≈ 2‐3 cSt
The issue: the current positions of the gears 
axes is critical for the leakages evaluation
x
y
Model in MSC Adams
with all clearances:
• inner gear – outer gear
• inner gear ‐ shaft
• outer gear ‐ housing
Forces on gears
calculated with Amesim
2005
Theoretical eccentricity (not in scale)
Amesim output Adams output
RIELLO Research Contract, 2006
17/2517/
Need of cosimulation
Floating ring
ICE lubricating vane pump
Analysis of vane detachment
The issue: 
interaction vanes‐ring
The solution: 
cosimulation LMS Amesim – MSC Adams
LMS Amesim (master)
• User interface
• Hydraulic model
• Solver
MSC Adams (slave)
Forces on
the vanes
Vanes
and
rings
positions
• Mechanical model
• Solver
Communication
at constant Δt
2008
18/25
Adams model by
Amesim model 
by FPRL
without bodies 
dynamics
Implementation of cosimulation
Output example
theoretical vane lift
calculated 
lift
Contact force vane root
Contact force vane tip
Trajectory of ring centre
x
y
Rotor axis
(fixed)
interface
PIERBURG Research Contract, 2008
19/25
Vacuum pump for brake booster
Rundo, M. and Squarcini, R., "Modelling and Simulation of Brake Booster Vacuum Pumps" 
SAE Int. J. Commer. Veh. 6(1), 2013
The issue:
Fluid mainly air + small % oil 
 pneumatic chamber
… but at the end of the 
delivery phase 100% oil 
 hydraulic chamber
Hydraulic‐pneumatic chamber
2012
variable chambers
Pump geometry
1c pV x
Vc
2 ,p oil airx V V
Virtual piston equilibrium
Mass conservation ,oil airp p  Force on piston
2 1 ?p px xYES  air + oil NO  only oil
oil cV V
The equilibrium of the virtual piston adjusts the 
volume of air/oil so that  oil airp p
Mass conservation
( , , )oil oil c cp f m V V 
(purely hydraulic chamber)
20/25
Model implementation and validation
Supercomponent
(3 chambers)
detail
Pneumatic line
Hydraulic line
Time required to empty 
a 4 L test volume of air
Hydraulic‐pneumatic chamber
21/25
Electric heater
Speed
Measure of lubricating pump energy 
Temp.Press.
Flow rate
Closed loop 
control
RUNDO M., SQUARCINI R., “Experimental Procedure for Measuring the Energy Consumption of IC 
Engine Lubricating Pumps during a NEDC Driving Cycle”, SAE Int. Journal of Engines 2(1), 2009
Pump under test
Speed vs. time
Temperature vs. time
Q = f(p,T,n)
Cycle
Energy Torque speed dt  
2008
22/25
Simulation and validation of the procedure
RUNDO M.: “Energy Consumption in ICE Lubricating Gear Pumps”, 
SAE Powertrains, Fuels & Lubricant Meeting, 25‐27 Oct. 2010, San Diego, USA
NEDC cycle
Friction data interpolation
Load characteristic
(pressure signal 
from data table)
Gears: chambers, porting, leakages
increasing temperature
23/25
1D simulation of lubricating circuit
lubrication of each cylinder:
• main bearing
• piston cooling jet
• crankshaft drilled holes
• conrod bearing
SINGLE OVERHEAD CAMSHAFT DIESEL ENGINE 
2003
Circuit layout
Load on the 
bearings
(supplied as
data file)
FURNO F., RUNDO M.: “Simulazione del sistema di lubrificazione di un motore a combustione interna”, 
58° Congresso Nazionale ATI, Padova ‐ S. Martino di Castrozza, Italy, 9‐12 September, 2003
24/25
Overall flow‐pressure curve
Validation: flow rates and pressures
140 °C
Oil pump outlet
Main gallery
Head gallery
90 °C
140 °C90 °C
FURNO F., “The Lubrication Network in Internal Combustion Engines: a Simulation Approach”, 
3rd FPNI PhD Symposium, Terrassa, Spain, 30 June – 2 July, 2004.
continuous lines: simulation
dots: experimental values
25/25
Some final remarks / curiosities
• First model of gerotor pump in 1997 ran on a Sun SparcStation 10 @ 50 MHz ‐ 96 Mb RAM
 About 2‐3 minutes to simulate a shaft revolution
 Now about 2 seconds : 2 orders of magnitude smaller !!
• In 1997 an entire month spent for the development of the model of a simple relief valve
(at that time the Hydraulic Component Design Library in Amesim did not exist !)
 Now the same valve is built in 30 min by the students of the Fluid Power courses
• The nightmare :
When you realize that
your model no longer runs
on the new release of a software !! 
Fluid Power Research Laboratory
www.fprl.polito.it
Politecnico di Torino

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