What is the course about?
Course Summary
In this second part of Vehicle Dynamics, we will illuminate the lateral dynamic aspects of vehicles.
Clear and brief: the cornering of a car.
In Detail: We will start with a simple single-track model and then describe the slip angle of a wheel. The slip angle results in cornering forces, which are essential for understanding lateral dynamics. After that, we will look at the dependency between longitudinal and lateral forces using Kamm’s circle and Krempel’s diagram. Then we will investigate steady state cornering, stability and the influence of different weight distributions between inner and outer side wheels of the car. The course will finish with two applications from automotive mechatronics.
What will I learn?
At the end of the course you will …
- understand basic principles of cornering of a car.
- know slip angle and cornering forces.
- understand the single track model.
- understand the steady state cornering, stability and the influence of different weight distribution between inner and outer side of the car.
- be able to calculate simple properties of a car.
What do I have to know?
Some basic understanding of the following subjects will help you successfully participate in this course:
Algebra; Trigonometric Functions; Differential Calculus; Linear Algebra; Vectors; Coordinate Systems; Force, Torque, Equilibrium; Mass, Center of Gravity, Moment of Inertia; Method of Sections, Friction, Newton's Law, (Lagrange's Equation)
Course structure
This course has a total of 10 chapters, and the topics for each chapter are the following:
Chapter 1: Preliminaries
Chapter 2: Single-Track Model
Chapter 3: Tyre side slip
Chapter 4: Steady state cornering
Chapter 5: Solution of linear single track model
Chapter 6: Stability and step steer
Chapter 7: Wheelload transfer
Chapter 8: Suspension systems
Chapter 9: Active lateral systems
Chapter 10: Solutions Homework: Part 1
Chapter 11: Solutions Homework: Part 2
Course instructors
Martin Meywerk
Martin Meywerk is a full professor for Automotive Engineering at the Helmut-Schmidt-University in Hamburg since 2002 and dean of the faculty of Mechanical Engineering since 2014. He gives lectures in vehicle dynamics, automotive mechatronics, computer aided engineering (CAE) and optimization. In research his focus is on dynamic behaviour of vehicles and tyres, driving simulators and CAE-methods in automotive engineering. In the past he had research projects with Volkswagen, BMW, Daimler, Bast and other companies. He has published several papers and one book. From 1997 to 2002 he was employed at Volkswagen AG in Wolfsburg in research and development where he improved CAE methods, from 2000 to 2002 he was lecturer for engineering mechanics and analytical mechanics at the Technical University Braunschweig (TUBS). He was a research assistant at TUBS from 1990 to 1996, where he wrote his Ph.D.-thesis at the institute of engineering mechanics. From 1985 to 1990 he studied Physics and Mathematics at TUBS supported by the Studienstiftung des deutschen Volkes.