Teaching code

4S009869

Credits

9

Coordinator

Marco Cocconcelli

Language

Italian

Scientific Disciplinary Sector (SSD)

ING-IND/13 - APPLIED MECHANICS

Courses Single

Authorized

Moodle Seminars 0

The teaching is organized as follows:

Learning objectives

The course aims to introduce the fundamentals of analysis and kinematic simulation of mechanical systems, referring to both planar and spatial systems (transformation matrices, open kinematic chains, velocity and angular velocity). It introduces the elements of analysis, modeling and dynamic simulation: main forces acting on mechanical systems (including contact forces), mass and moments of inertia, principles of Newtonian dynamics. The laboratory is finalized to introduce the use of symbolic and numeric calculation tools applied to the modeling of mechanical systems.

Prerequisites and basic notions

A solid basic training in physics, mathematical analysis and geometry is required to address the topics of the course.

Program

Kinematic pairs and mechanisms: constraints and contact geometry between rigid bodies, kinematic pairs, realization of kinematic pairs, kinematic chains, mobility of plane kinematic chains, geometric mobility criteria, mobility of mechanisms in general rigid motion. Contact forces and friction: surface contacts and Hertz theory, sliding friction and Coulomb model, fluid dynamic actions. Kinematics of plane mechanisms: mathematical model, position analysis, velocity analysis, acceleration analysis, geometric aspects of the kinematics of mechanisms. Kinematics of spatial mechanisms: reference systems (transformation matrices, open kinematic chains, velocity and angular velocity). Statics of mechanisms: equilibrium of mechanical systems, statics of systems in the presence of friction. Dynamics of mechanical systems: dynamic modeling, operating conditions, efficiency. Mechanical vibrations: Examples of vibrating systems and kinematic models, free vibrations of single degree of freedom systems, forced vibrations of single degree of freedom systems. Mechanics of kinematic pairs: plain bearings.

Bibliography

Didactic methods

Blended lessons (online and in presence). In-person and streaming lessons will be provided for the theory part; Laboratory lessons will be held in person only. Recordings, both of theory and laboratory, will be made available on the course Moodle page. In-person or online clarification and review lessons on request. Laboratory exercises, consisting of simulations of mechanical systems, will be carried out using symbolic equation manipulation software (Mathematica).

Learning assessment procedures

Written exam consisting of a theory part and a laboratory part. For each part there are exercises to be done in pen on a sheet of paper. In the theory part, it may also be required to cover a specific topic covered in class. In the laboratory part, it is also required to do part of the exercises on Mathematica, using the classroom PCs. At the end of the test, students must submit: the paper assignment completed for the theory part, the paper assignment completed for the laboratory part, a Mathematica file containing the script developed during the assignment. The duration of the overall test is 3 hours. To pass the exam, the student must pass both parts. Students in progress can take a partial exam at the end of the first semester. The exam format is the same as the overall exam, but the duration is 1.5 hours and the topics required are only those covered in the first semester. Those who pass the partial exam can take the second part in the first session of the second semester with the same modalities.

Evaluation criteria

Ability to understand the given problem. Ability to analyze and model a mechanical system by writing its constraint and dynamics equations. Ability to express oneself with the correct terminology. Understanding of the topics covered in class and ability to apply.

Criteria for the composition of the final grade

The final composition of the grade is given by the weighted sum of the grades obtained in the Mechanical Simulation Laboratory test (1/3) and in the Mechanical Elements test (2/3). In the case of partials, the composition of the grade for the individual tests is the same, and the final grade is the average of the two partials.

Exam language

Italiano. Inglese a richiesta.

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