- Docente: Barbara Lazzari
- Credits: 3
- SSD: MAT/07
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mechanical Engineering (cod. 0927)
Learning outcomes
A sound theoretical basis as well as a working knowledge of the
fundamental
mathematical methods aimed at solving simple mechanical problems
for discrete systems.
Course contents
Symbolic equations of Dynamics: D'Alembert principle. Lagrange
equations.
Lagrangian systems and their first integrals. Symbolic equations of
statics:
Principle of Virtual Work and its applications. Equilibrium
conditions for a
holonomic system. Hamilton equations. Variational principles.
Stability of equilibrium. First and second Lyapunov method. Small
oscillations around a position of stable equilibrium.
Readings/Bibliography
M. Fabrizio, Introduzione alla meccanica razionale e ai suoi metodi matematici. Zanichelli ed., Bologna 1994.
Teaching methods
Standard lectures on the mathematical foundaments of discrete and continuum mechanics held and exercise classes held by a teaching assistant.
Assessment methods
The final exam is oral. A preliminary written exam can be required.
Teaching tools
Blackboard, slides, projector.
Office hours
See the website of Barbara Lazzari