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MAK 4053E Vehicle Technology
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Vehicle TechnologyMAK 4053ELecture 1b – Introduction to VehicleTechnology Theory
Instructor: Dr. Özgen Akalın Associate Professor of Mechanical Engineering
Slides do not cover the complete course material and can not beused as a single resource.
Classroom use only!
Driver
Performance
Handling
Ride Vehicle
Ground conditions
Aerodynamic inputs
Visual and other inputs
Accelerator, Brakes
Steering system
Surface irregularities
The driver-vehicle-ground system
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MAK 4053E Vehicle Technology
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There are some things that you just don’t
want to try experimentally!
It is much safer to approach
stability thresholds in
simulation than in practice.
Fundamental approach to modeling
!
Dynamic behavior of a vehicle is determined by theforces imposed on the vehicle from tires, gravity, andaerodynamics.
!
The vehicle and its components are studied todetermine what forces will be produced by each ofthese sources at a particular maneuver and trimcondition, and how the vehicle will respond to theseforces.
!
For that purpose it is essential to establish a rigorousapproach to modeling the systems and conversionsthat will be used to describe motions.
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MAK 4053E Vehicle Technology
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Problem Formulation
!
Basically, the entire formulation of the problem is howto abstract from the physical world into some type ofanalytical description.
physical
systemlevel of
abstraction
0)0t(
);t,,()t(
xx
uxf x
==
=!
ODE
model
?
Single DOF ! Car Suspension
! First approximation: as a 1st approx. to avehicle suspension system, let’s consider
the!
car, single DOF system:
mCar body
(sprung mass)
independent
suspension
k b
z
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MAK 4053E Vehicle Technology
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!
Now, if we include the unsprung mass dynamicswe have:
! Here we treat the tire as a linear spring element withno damping
Two DOF! Car Suspension
ms
mu
zs
k s bs
k t
zu
zr road displacement
unsprung mass displacement
sprung mass displacement
Displacements measured
from equilibrium
" Car Model and Coupling Effect
ms, I !
b a
z
k sr
k tr
bsr k sf
k tf
bsf
zur
zrr
zuf
zrf
mur muf
zsr zsf
forward
velocity
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MAK 4053E Vehicle Technology
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r
b
a
- v
u
V
$
2
$
1
F y 2 z 2
F y 1
z 1
V e h i c l e
s l i p a n g
l e
S t e e r i n g a n g
l e
Simplified steady-state handling model fora two axle vehicle. (Bicycle model)
Simplified steady-state handling model fora two axle vehicle. (Bicycle model)
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MAK 4053E Vehicle Technology
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Seven DOF ride model for passenger car
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Interpretation of Results
!
If you have the resources ($), you can get a nicepackage that has extensive GUI front ends andvisualization tools
GUI interface Parameter
adjustmentVisualization
tools
Interpretation of Results
! ADAMS!
http://www.mscsoftware.com
! CARSIM! http://www.carsim.com/
! CARMAKER! http://www.ipg.de/CarMaker.609.0.html
! VAMPIRE (Rail)!
http://www.vampire-dynamics.com/
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ADAMS
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CARSIM
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CARSIM
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BIKESIM
Interpretation of Results
VR/w simulation
! Actually, a lot of vehicle related video games run ondynamic simulations of vehicle models
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MAK 4053E Vehicle Technology
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Large motion simulator from Simtec GmbH at the DLR in Braunschweig, Germany.
University of Iowa, National Advanced Driving Simulator.
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University of Iowa, National Advanced Driving Simulator.
Vehicle Axis SystemsBody Fixed Coordinate system
SAE Definition
Ref. Milliken & Milliken, Race Car Vehicle Dynamics, SAE Press 1995, p. 116
CG
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Vehicle in Earth Fixed Coordinate System
Body Fixed and Earth Fixed Coordinates
!
We will use these transformations between Body-fixed and Earth-fixed coordinates when discussingthe planar dynamics of the vehicle.
! Bicycle model
!
This will involve transforming vehicle coordinates totraffic lane coordinates.
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Body Fixed and Earth Fixed Coordinates
! The same approach must be used for other
maneuvers too.
Lane change
yaw
rate
lateralvelocity
t
Wheelbase
Track width (rear)
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MAK 4053E Vehicle Technology
Direction
RWD FWD 4WD
Ff FfFf Ff
FrFr Fr Fr
F F F
Drive types
Dynamic axle loads
L
l 1
l 2
W
r s t
W f
W r
h
L
l 1
l 2
W W
f
W r
h
R a
h a
d
R d z
R d x
h d
R x f
R x r
F f
F r
Wsin!
Wcos! ax
Wax /g
!