Apllied Mechanics

Synthetic program:

Kinematics: motion: of points and systems. Velocity and accelerations in a rigid motion. Relative kinematics. Dynamic and static analysis of mechanical systems. Reaction forces. Equivalent systems of forces. Inertia moments of mass. Fundamental laws of dynamics. Work and energy. Mechanical quantities. Cardinal equations of dynamics and static. Theorem of kinetic energy. Principle of virtual work. Equilibrium of holonomic systems. Dynamics of free and constrained rigid bodies. Lagrange's equations. Friction forces (sliding and rolling friction). Lubrication theory (outline). Dynamic analysis of machines and mechanisms The 1 d.o.f. machines composed of rigid elements: steady state and transient motions. Kinetostatics; inertia forces; equilibrium equations and power balance for mechanisms. Stability of motion. Characteristic curves; efficiency of transmissions; dissipated energies. Free vibrations of damped systems: motion equation, eigenvalues and eigenvectors, natural frequencies and normal modes. Forced vibrations caused by periodic and random excitations. Frequency Response Function of mechanical systems. Flexural and torsional critical speeds of rotating machines. Stress and strain distribution in mechanical systems. Stresses caused by static and dynamic loads. Fatigue.