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B003858 - MECHANICAL ANALYSIS
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Type of Assessment
Course program
Academic Year 2017-18
Coorte 2015 - 3-years First Cycle Degree (DM 270/04) in Electronics and Telecommunications Engineering
Course year
Third year - First Semester
Belonging Department
Information Engineering (DINFO)
Modulo di sola Frequenza of
Scientific Area
MAT/07 - MATHEMATICAL PHYSICS
Credits
3
Teaching Hours
27
Teaching Term
18/09/2017 ⇒ 22/12/2017
Attendance required
No
Type of Evaluation
Giudizio Finale
Course Content
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Course program
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Lectureship
Teaching Language
Italian
Course Content
Kinematics of particles and of rigid bodies. Dynamics of rigid bodies: cardinal equations. Constrains and constrains reactions, smooth constrains. The motion equations of a constrained system. Rigid bodies: the inertia matrix. Precessions. Euler equations. Lagrangian Mechanics: holonomic constrains and lagrangian coordinates. Smooth constrains and the Euler-Lagrange equations.
Suggested readings (Search our library's catalogue)
1) G. Frosali, E. MInguzzi: "Meccanica Razionale per l'Ingegneria", Progetto Leonardo, Esculapio, Bologna (2011).
2) H.Goldstein: "Meccanica Classica", Zanichelli, Bologna (1950).
3) H.Goldstein, C. Poole, J. Safko: "Meccanica Classica", Zanichelli, Bologna (2006).
3) G.Borgioli: Lecture Notes, on the webpage http://www.modmat.unifi.it/
2) H.Goldstein: "Meccanica Classica", Zanichelli, Bologna (1950).
3) H.Goldstein, C. Poole, J. Safko: "Meccanica Classica", Zanichelli, Bologna (2006).
3) G.Borgioli: Lecture Notes, on the webpage http://www.modmat.unifi.it/
Learning Objectives
The aim of the course is providing basic knowledge in Rigid Body Mechanics and in Lagrangian Mechanics, essential to face later courses of Robotics and Applied Mechanics. Students learn methods and topics in Classical Mechanics, to carry on a career in Automation Engineering.
Prerequisites
The subjects from the courses of Fisica, Geometria ed Algebra Lineare, Analisi Matematica, Metodi Matematici e Probabilistici.
Teaching Methods
Lectures and Exercises.
Type of Assessment
Oral exam.
Course program
Frame and coordinates Systems; transformations of basis and coordinates among frames in R3, Euler angles. Kinematic of particles in different coordinates and vector basis systems. Rigid bodies. Dynamics of systems: center of mass, linear momentum, angular mamentum, kinetic energy, potential energy; the cardianl equations of motion. Constrains: constrain reactions, smooth constrains; motion equations of a constrained system. Rigid bodies Dynamics: the inertia matrix; rotation of a rigid body around a fixed axis; laminar motion; precessions; Euler equations. Lagrangian Mechanics: holonomic constrains, lagrangian coordinates, smooth constrains: The Euler-Lagrange equations, conservative systems and conservation laws.