Code |
13432
|
Year |
3
|
Semester |
S2
|
ECTS Credits |
6
|
Workload |
PL(30H)/T(30H)
|
Scientific area |
Biomedical Sciences
|
Mode of delivery |
Theoretical and practical classes
|
Learning outcomes |
This Course Unit aims to teach students the basics for analysis of periodic phenomena such as vibrations and waves, their main properties and features and examples of these phenomena in biology and life sciences. At the end of the course the student should be able to identify phenomena of vibration / wave, to describe and characterize mechanical and electromagnetic vibrations and waves, master the simplest mathematical models of these phenomena, and analyse oscillations in the simplest cases of mechanical, electrical and biological systems.
|
Syllabus |
1. Introduction. Periodic phenomena in mechanical and electromagnetical systems. Periodic processes in Biomedical Sciences. 2. Vibrations. Basic ideas. 3. System with one degree of freedom. Harmonic oscillator. Amplitude. Frequency. Phase. 4. Free oscillations with and without damping. 5. Forced oscillations without damping. Resonance. 6. Forced oscillations with damping. 7. Oscillations in electrical systems. Electro-mechanical analogy. 8. Vibrations in systems with several degrees of freedom. Main ideas. Influence of damping. Forced vibrations. 9. Vibration isolation. 10. Waves. General Properties. Mathematical description of a wave. Plane waves. 11. Physical properties of waves: transmission, absorption, reflection, interference, diffraction, polarization, etc. 12. Mechanical waves. Acoustic waves. Waves in water. Seismic waves. Shock waves. 13. Electromagnetic waves. 14. Applications to biomedical sciences.
|
Main Bibliography |
George C. King, “Vibrations and Waves", John Wiley & Sons Ltd, 2009. João Paulo Silva, "VIBRAÇÕES E ONDAS", IST Press, 2012.
|
Language |
Portuguese. Tutorial support is available in English.
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