Vibrations and Waves
Objectives
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
Code
10522
Credits
6.0
Responsible teacher
Ana Cristina Gomes da Silva
Hours
Weekly - 4
Total - 56
Teaching language
Português
Prerequisites
Analysis I and II
Newtonian Mechanics and Dynamics
Bibliography
Adopted bibliography:
Prof Grégoire Bonfait, Sebenta Vibrações e Ondas, availlable in CLIP.
Others might be used by the students as complement for their studies:
- G. C. King, Vibrations and Waves, Wiley, 2009
- 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
Discussão activa e demonstração de tópicos em aula T;
Resolução acompanhada de exercícios em aula P;
Evaluation method
Nota = 85% NT + 15% NF
For students from previous (2 years with frequency)
100% NT (or final exam).
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