Vibrations and Waves


It is intended that students attending this UC:

• Obtain solid knowledge of the oscillatory behavior of physical systems and the generation and propagation of waves;

• Recognize the mathematical formalism associated with vibrations and waves;

• Use mathematical formalism to solve analytical problems in vibratory and wave phenomena;

• Recognize the transversal diversity of examples of oscillatory and wave phenomena;

• Be able to identify oscillatory and wave problems and apply the general principles of vibrations and waves to specific physical applications, with essential mathematical methodology.

General characterization





Responsible teacher

Filipe Alexandre Ferreira Tiago de Oliveira


Weekly - 4

Total - 56

Teaching language



Analysis I and II

Newtonian Mechanics and Dynamics


The reference bibliography adopted is:

• G. C. King, Vibrations and Waves, Wiley, 2009

This book serves as a basis for teaching, and students are encouraged to consult others, namely:

• A.P. French, Vibrations and Waves, MIT, 2003
• H.J.Pain, The Physics of Vibrations and Waves, John Wiley & Sons, 2005
• Iain G. Main, Vibrations and Waves in Physics, Cambridge University Press, 1993

Teaching method

Active discussion and demonstration of topics in T class;

Supervised resolution of exercises in class P;

Encouragement to read the reference book by requesting the resolution of online problem quizzes, with quick resolution.

Evaluation method

grade= 20% NF + 80% NT 

Subject matter

1. O oscilador harmónico simples

2. O oscilador harmónico amortecido

3. Forced oscillations

4. Coupled oscillators

5. Progressive waves

6. Standing waves

7. Interfereence and Difraction

8. Scatering / Dispersion 


Programs where the course is taught: