cod. 1010711

Academic year 2023/24
1° year of course - First semester
- Nicola MIMMO
Academic discipline
Indefinito/interdisciplinare (NN)
"altre conoscenze utili per l'inserimento nel mondo del lavoro"
Type of training activity
30 hours
of face-to-face activities
3 credits
hub: UNIBO
course unit

Learning objectives

This course aims at providing theoretical and practical tools for the design of the dynamics of automotive mechanical systems.


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Course unit content

1. Mathematical and computer science background
Definitions and operations with vectors and matrices; Matlab;
2. Description of the kinematics
Reference systems; Linear position; Linear speed; Rotation matrices; Euler angles; Kinematics of rotation; Kinematic constraints for ground vehicles;
3. Internal and external forces
Internal springs and dumpers; Aerodynamics; Gravity; Wheel Forces;
4. Description of the dynamics
Euler Lagrange equations; Kinetic Energy; Potential Energy; Derivation of the equation of the dynamics of ground vehicles; Definition of the oriented system; State space representation;

Full programme

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Mathematical background
[1] Meyer, Carl D. Matrix analysis and applied linear algebra. Vol. 71. Siam, 2000.
Description of the kinematics
[1] Beatty M.F. (1986) Kinematics of Rigid Body Motion. In: Principles of Engineering Mechanics. Mathematical Concepts and Methods in Science and Engineering, vol 32. Springer, Boston, MA
[2] Gross D., Ehlers W., Wriggers P., Schröder J., Müller R. (2017) Kinematics of Rigid Bodies. In: Dynamics – Formulas and Problems. Springer, Berlin, Heidelberg
[3] Waldron K.J., Schmiedeler J. (2016) Kinematics. In: Siciliano B., Khatib O. (eds) Springer Handbook of Robotics. Springer Handbooks. Springer, Cham.
[4] Olguin Diaz, Ernesto (2019) 3D Motion of Rigid Bodies: A Foundation for Robot Dynamics Analysis. Springer International Publishing. DOI: 10.1007/978-3-030-04275-2
Internal and external forces
[1] Gillespie, Thomas D. Fundamentals of vehicle dynamics. Vol. 400. Warrendale, PA: Society of automotive engineers, 1992.
[2] Milliken, William F., and Douglas L. Milliken. Race car vehicle dynamics. Vol. 400. Warrendale: Society of Automotive Engineers, 1995.
Description of the dynamics
[1] Gelfand, Izrail Moiseevitch, and Richard A. Silverman. Calculus of variations. Courier Corporation, 2000.
[2] Amirouche, Farid. Fundamentals of multibody dynamics: theory and applications. Springer Science & Business Media, 2007.
[3] Friedland, Bernard. Control system design: an introduction to state-space methods. Courier Corporation, 2012.
[4] Pila, Aron Wolf (2020) Introduction To Lagrangian Dynamics. Springer International Publishing. DOI: 10.1007/978-3-030-22378-6

Teaching methods

Blackboard, Electronic Board, Microsoft Teams, Computer Simulations

Assessment methods and criteria

The exam consists of a group (max 4 students) project in which the students model the dynamics of an automotive system. The group must provide a technical report and the simulator on which the proposed solution is tested. The project is developed in tight collaboration with the teacher in agreement with a recursive "submit and review" process.
The exam is a satisfactory/unsatisfactory grading.
To pass the exam the students must know the good practices to model the dynamics of automotive systems.
Attendance is not necessary to take the exam.

Other information

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