Day 1 
Introduction
Review Policies and Syllabus
History of the Road Vehicle Dynamics course at UB
Lateral and Longitudinal Accelerations
Derivation of Centripetal Acceleration Formula
The gg Diagram for Race Cars and Passenger Cars

Day 2 
Axis
Systems
The Need for Multiple Axis Systems
EarthFixed, Body (Vehicle) Fixed, Aero, Wheel Center and Ground Axis Systems
Terms and Symbols: Motion Variables, Forces, Moments
The Euler Angle Transformation Matrix
Quaternions

Day 3 
Tires I
The Tire Axis System Revisited
Tires as Force/Moment Generators
Definitions of Slip Angle, Inclination Angle
Factors Affecting Tire Force and Moment Generation
Tire Construction
The Pressure/Temperature Relationship

Day 4 
Tires II
The Tire as a Spring
Pressure Distribution in the Footprint
Lateral Force Generation
The Tread Button Cycle
Typical Lateral Force Curves
Aligning Torque

Day 5 
Tires III
Lateral Force (continued)
Induced Drag
Aligning Torque
Camber Thrust
Tractive and Braking Forces
The Friction Ellipse

Day 6 
Tires IV
Why We Need Tire Data
Sources of Tire Data
Tire Testing Difficulties
Tire Models
Nondimensional Tire Theory

Day 7 
SteadyState
Cornering I
Introduction to the Bicycle Model
Front and Rear Slip Angles as a Function of Vehicle Motions
LowSpeed CorneringAckermann Steer Angle

Day 8 
SteadyState
Cornering II
SteadyState Cornering with Centrifugal Force
Determining Steer and Sideslip Angles for SteadyState Cornering
Requirement for a Neutral Steer Vehicle
Oversteer and Understeer Defined

Day 9 
SteadyState
Cornering III
Clarification of OS, US, NS
Video on Tires, Oversteer, Understeer
Review for Exam

Day 10 
Exam #1

Day 11 
Simulation
I
Return Exam
The RVD Speedway6 competing teams

Day 12 
Simulation
II
Optimal Solution for the RVD Speedway
Bicycle Model Equations of Motion
Comments on Numerical Integration

Day 13 
Simulation
III
Equations of Motion (revisited)
Stability and Control Derivatives
Yaw Damping, Static Directional Stability
Graduate Student Project Assigned

Day 14 
SteadyState
Stability and Control
SteadyState Responses
The Stability Factor
Ackermann Relationship to Yaw Damping
Critical Speed, Characteristic Speed and Tangent Speed

Day 15 
SteadyState
Stability and Control II
Neutral Steer Point, Static Margin
Understeer Gradient, Steering Sensitivity
Equilibrium, Trim, Stability

Day 16 
Automobile
Safety and Crash Dynamics
Motorsports as a Laboratory
Three Impacts in a Collision
Crash Severity: Peak Acceleration and Change in Velocity
Redirecting versus Absorbing Barriers

Day 17 
Transients
Solution of SecondOrder Differential Equations
Natural Frequency, Damping Ratio
Response Metrics
Relationship to the Bicycle Model
Brief Discussion of Dampers (Shock Absorbers)

Day 18 
ForceMoment
Analysis I
Constrained Testing
Aircraft Testing in Wind Tunnels
Attempts at Constrained Testing of Automobiles
Constrained Testing of Automobiles via Mathematical Analysis/Computer Program
The CNAY Diagram
Stability Index

Day 19 
ForceMoment
Analysis II
Construction of the CNAY Diagram
Interpreting Diagram Boundaries
Interpretation of Internal Diagram Lines
Discussion of Stability Index
Transients on the CNAY Diagram

Day 20 
Review for
Exam #2
Reviewno new material

Day 21 
Exam #2

Day 22 
FourWheeled
Models I
Exam #2 Returned
Calculation of Static Wheel Loads
Diagonal Weight
Lateral Load Transfer

Day 23 
FourWheeled
Models II
Longitudinal Load Transfer, Crests and Dips
Load Transfer and Tire Load Sensitivity
Lateral Load Transfer Distribution
Roll Stiffness, Roll Gradient
The Role of an AntiRoll Bar

Day 24 
FourWheeled
Models III
More on AntiRoll Bars
Suspension Roll Centers
Lateral Load Transfer Equations with Roll Centers and Roll Stiffness
Oversteer/Understeer Effect of Lateral Load Transfer Distribution

Day 25 
FourWheeled
Models IV
Jacking
Front View and Side View Instant Centers
AntiDive, AntiSquat, AntiLift
Axle and Independent Suspensions

Day 26 
Race Car
Design, Setup and Tuning
Passenger Cars: Goals and Characteristics
Race Cars: Goals and Characteristics
Three "Magic Numbers"
General Principles for Racecar Tuning Design Phase Decisions,
Paddock/Garage Adjustments

Day 27 
Guest
Lecture
Guest Lecture by Doug Milliken
"Data for Vehicle Dynamics Modeling"

Day 28 
Last Class
Race Car Pitstop and OnTrack Adjustments
Review
Course Evaluations

** 
Final Exam
3 Hours, cumulative, during exam week
