The subject is addressed at providing the knowledge and capabilities for mathematical and dynamic modelling of passenger vehicles and main automotive systems.

Knowledge related to the dynamic behaviour of motor vehicles and of chassis subsystems such as suspension, steering and braking devices. Capability of modelling and analysing the behaviour of road vehicles with the analytical and numerical methods and simulation softwares provided during the semester.

Attendance of this module requires fluent spoken and written English as a necessary pre-requisite: all lectures and tutorials, and all study material will be in English. It is assumed that students taking this subject already have knowledge and understanding of analytical and applied mechanics, vibrations, technical drawing, machine design, Matlab software and of fundamental of differential and integral calculus.

• Tyre dynamics: slip and slip angle, longitudinal and side forces, transient behaviour, Pacejka magic formula • Longitudinal dynamics - driving: power required for motion, maximum slope, acceleration and speed. Transmissions for ICE: manual and non-manual transmissions (AMT, DCT, AT). Differentials. • Longitudinal dynamics - braking: ideal and real braking distribution, efficiency, main components of braking systems, ABS. Regenerative braking. • Lateral dynamics: single track model, kinematic and dynamic equations. Vehicle directional behaviour and stability. Analysis of steady state and transient motion. Effects of longitudinal and lateral load transfer. Roll bars. • Suspensions: analysis of main components and architectures. Kinematic gradients and analysis of the influence on lateral dynamics. Roll behaviour. Anti-dive, anti-lift and anti-squat characteristics. • Spring and shock absorber design: driving comfort and drivability. • Hybrid architectures: parallel, series, EVT and dual mode transmissions.

Credits 8: 80 classroom hours (53 lecture hours, 27 tutorial hours). Theoretical lectures are supported by examples and applications. Tutorials will focus on using and developing software partly provided as course material to analyse vehicle dynamics and main subsystem characteristics. Students are required to apply knowledge to working context problems and to interact with the tutor, especially when setting the solution. The tutor will assist students during the tutorial class hours, supporting students in their learning progression and clarifying their doubts. Attendance to both lectures and tutorials is strongly recommended, being vital to achieve the expected learning outcomes. Neither intermediate formal checks of the learning process nor reports on projects are programmed. The teacher and the tutor are available weekly during the teaching period in order to meet students for explanations; please contact them by e-mail.

• M. Guiggiani, "The Science of Vehicle Dynamics", Springer, 2016. • H.B. Pacejika, "Tire and Vehicle Dynamics", Butterworth-Heinemann, 2012. • G. Genta, L. Morello, "The automotive Chassis", Volume 1 and 2, Springer, 2009. Lectures notes on specific topics and other material are available on the course page. Tutorials: texts of problems and Matlab/Simulink codes are provided on the website before the tutorials. Students should either download or print the files.

Modalità di esame: Prova scritta (in aula); Prova orale facoltativa;

Exam: Written test; Optional oral exam;

... Assessment Achieved learning outcomes will be assessed by means of a final exam, consisting of a written test and of an optional oral part. The exam is based on an analytical assessment of student achievement of the "expected learning outcomes" described above. In order to properly assess such achievement, the examination consists of a written test, lasting indicatively 1 h 30 min, closed book, composed of three questions, each focused on one of the topics seen during the lectures. The exam aims at evaluating the ability of the students to deal with the dynamic behaviour of vehicle systems, starting from the model definition and ending with the system analysis. In particular, the test aims at assessing knowledge, communication skills and ability to use tools and method taught in the lectures for analysing and modelling components, subsystems and vehicle longitudinal and lateral dynamics. The optional oral part aims at assessing the knowledge of the software used during the tutorials, discussing both the model structure and the results from the simulations. Moreover also the student ability to explain the effects of parameter variations on the results will be assessed. Grading criteria The final maximum obtainable mark is 30/30 with merit (cum laude) and is formed by the sum of the mark achieved in the written test (0 ÷ 28) plus the mark of the optional oral test (-3 ÷ +5). The oral part can be taken only if the mark of the written part is at least 18. Each answer to the three questions usually is evaluated from 0 to a maximum of 9 or 10 points, for a total of 28 available points. The oral consists in a discussion and can also lead to loss of points: the oral score can vary from -3 up to +5 points. A few days after the written test, students are summoned for a review of the written output, in which examiners inform the student on grading criteria, and receive any student appeal supported by appropriate explanations. In the same day, students who chose to take the oral part will be examined. During the semester, students are given an example of the final test, with discussion of the solution and hints on common errors and evaluation criteria. Computers, mobiles, electronic devices and any printed documentation are not allowed.

Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.