The primary aim of the course is to provide to the students the skills to formalize a problem of rigid-bodies mechanics using the appropriate mathematical tools. Particular attention is paid on the modeling and analysis of simple engineering problems, in order to provide the cultural background required to cope with engineering analysis and design.
teacher profile teaching materials
ODE homogeneous and non-homogeneous
Fundamental properties of the motion of a particle
Dynamics of free and constrained material elements
Un-damped and damped oscillators
Mechanical work, power and energy
Stabilty of mechanical equilibrium
-Mechanics of systems of particles
Internal forces
Conservation of momentum
Conservation of angular momentum
Kinetic energy, Koenig’s theorem
-Kinematics of rigid-body motion
Two-dimensional rigid-body motion
Instant centre of rotation
Three-dimensional rigid-body motion
-Galilean relativity
Kinematics in non-inertial frames of reference
Dynamics in non-inertial frames of reference, fictitious forces
Classes of frames of reference
Derivative of vectors in moving frames of reference
-Dynamics of rigid bodies
Dynamics
Conservation of momentum and angular momentumInertia tensor
Ellipsoid of inertia
Koenig’s theorem
Euler equations
Rotation about central axes
-Elements of Lagrangean mechanics
Virtual displacements
Virtual work
Lagrange-Euler equations
-Beer, Johnston, "Vector Mechanics for Engineers", McGraw-Hill
-Benvenuti, Maschio, “Complementi ed esercizi di Meccanica Razionale", Ed. Kappa
Programme
-Mechanics of a material particleODE homogeneous and non-homogeneous
Fundamental properties of the motion of a particle
Dynamics of free and constrained material elements
Un-damped and damped oscillators
Mechanical work, power and energy
Stabilty of mechanical equilibrium
-Mechanics of systems of particles
Internal forces
Conservation of momentum
Conservation of angular momentum
Kinetic energy, Koenig’s theorem
-Kinematics of rigid-body motion
Two-dimensional rigid-body motion
Instant centre of rotation
Three-dimensional rigid-body motion
-Galilean relativity
Kinematics in non-inertial frames of reference
Dynamics in non-inertial frames of reference, fictitious forces
Classes of frames of reference
Derivative of vectors in moving frames of reference
-Dynamics of rigid bodies
Dynamics
Conservation of momentum and angular momentumInertia tensor
Ellipsoid of inertia
Koenig’s theorem
Euler equations
Rotation about central axes
-Elements of Lagrangean mechanics
Virtual displacements
Virtual work
Lagrange-Euler equations
Core Documentation
-Lecture notes with solved problems-Beer, Johnston, "Vector Mechanics for Engineers", McGraw-Hill
-Benvenuti, Maschio, “Complementi ed esercizi di Meccanica Razionale", Ed. Kappa
Type of delivery of the course
lessons by use of blackboardType of evaluation
traditional