RATIONAL MECHANICS
Learning outcomes of the course unit
Mathematical approach to classical mechanics from basic principles. Mathematical methods for understanding, modelling and solving mechanical problems
Prerequisites
First and second year mathematical tools
Course contents summary
Vectors and tensors. Kinematics. Rigid motion. Fundamental principles of dynamics. First integrals, virtual work, equilibrium. D’Alèmbert principle, Lagrange’s equations. Central forces. Rigid bodies and tensor of e inertia. Stability and Dirichlet principle. Hamiltonian formulation of analytic mechanics.
Recommended readings
C.CERCIGNANI, Spazio, tempo, movimento, introduzione alla meccanica razionale; ZANICHELLI, Bologna;
M.FABRIZIO, La meccanica razionale e i suoi metodi matematici, ZANICHELLI, Bologna;
A.FASANO, S. MARMI, Meccanica analitica, BORINGHIERI, Torino;
H.GOLDSTEIN, Meccanica classica, ZANICHELLI, Bologna;
D.GRAFFI, Esercizi di meccanica razionale, PATRON, Bologna;
J.R.TAYLOR, Meccanica classica, ZANICHELLI, Bologna.
Materiale didattico: M.IORI, G.SPIGA, Esercizi per il corso di Meccanica, Parma, Dipartimento di Matematica, Quaderno n. 489.
Teaching methods
Classroom lectures and tutorials
Assessment methods and criteria
Written examination and oral interview.
