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Fondamenti di Meccanica Teorica ed Applicata
Fundamentals of theoretical and applied mechanics
Giacomo Palmieri

Seat Ingegneria
A.A. 2016/2017
Credits 9
Hours 72
Period II
Language ENG

Prerequisites
Basic knowledge on physics, geometry and calculus

Learning outcomes
KNOWLEDGE AND UNDERSTANDING:
Giving the students the fundamentals necessary for the study of mechanical and biomechanical systems; providing the basics of kinematics, statics and dynamics of rigid and deformable bodies.
CAPACITY TO APPLY KNOWLEDGE AND UNDERSTANDING:
The student will learn the basic principles of theoretical mechanics applied to problems related to kinematics, statics and dynamics of rigid and deformable bodies systems. The student will be able to deal with problems of synthesis and analysis of the motion of mechanical and biomechanical systems, and to collaborate with mechanical engineers in the design of prototypes and devices for biomedical applications This knowledge will be acquired through lectures and exercises.
TRANSVERSAL SKILLS:
The theory and exercises of the course will help to improve the degree of autonomy, the ability to learn and to draw conclusions.

Program
The course deals with the fundamentals necessary for the study of mechanical and biomechanical systems, namely the basics of kinematics, statics and dynamics of rigid and deformable bodies. More in detail, the main topics are: - Introduction to applied mechanics, biomechanics and motion analysis. - Kinematics: degrees of freedom, constraints and kinematic pairs; mobility analysis for planar and spatial kinematic chains; kinematic analysis of planar and spatial mechanisms; examples of kinematic analysis of biological systems. - Dynamics: gravity and center of mass of bodies, elastic force, aerodinamics forces, friction and passive forces; statics of bodies and multi-body systems; statics applied to human body; inertial properties of bodies; cardinal equations of dynamics; energetic theorems; efficiency; dynamics of multibody systems; Newton-Euler formulation; Introduction to Lagrangian formulation; examples of dynamics models for human motion analysis; vibrations and models of vibrating systems; free and forced vibrations, vibration isolation and transmissibility; impulsive dynamics; impacts in biomechanics. - Introduction to structural mechanics: internal forces; stress and strain, elastic constitutive law; basics on mechanical properties of materials and biological tissues; geometrical properties of sections; tension, bending and torsion.

Development of the examination
LEARNING EVALUATION METHODS
The exam consists of an oral exam in which some theoretical concepts of the course are discussed. Besides the oral examination the student will be asked to solve an exercise belonging to the types of problems addressed in classroom exercises. Some optional partial written tests can be planned during the course. A positive outcome in these tests exempt the student from performing the exercise during the oral examination. The student is entitled to present during the examination a dissertation on a topic related to biomechanics, as deepening of the issues addressed in the course.

LEARNING EVALUATION CRITERIA
In the exercise or optional written test, the student must demonstrate an understanding of the basic concepts of mechanics and apply them to practical problems. A further criterion of evaluation is the ability of calculus and the appropriate use of measurement units. In the oral examination, the student must demonstrate to master the key concepts related to the topics covered during the course and must be able to present them in a clear and appropriate terminology.

LEARNING MEASUREMENT CRITERIA
The grade is given in thirthies. The examination will be evaluated by giving equal weight to the applicative and to the theoretical part.

FINAL MARK ALLOCATION CRITERIA
It is given a separate grade to the applicative and theoretical part. Outcoming the exam is subject to a minimum grade of eighteen over thirty for both tests. The final grade will be determined by the arithmetic average of the two grades rounded to the higher entire number. In the event that the written partial tests are carried out, the grade of the applicative part is determined as the arithmetic average of the grades obtained in each partial examination. The optional dissertation will be evaluated with a score from 1 to 3 points, to be added to the final grade obtained in the examination. Students who achieve a grade of thirty for both the applicative and theoretical part will be awarded cum laude. Also students which will exceed the score of thirty by adding the additional points related to the optional dissertation will be awarded cum laude.

Recommended reading
G. Legnani, G. Palmieri, Fondamenti di meccanica e biomeccanica del movimento, Città Studi Edizioni, 2016.

Courses

• Ingegneria Biomedica (Corso di Laurea Triennale (DM 270/04))