Waves and Continuous Media

Code:

FIS2002

Acronym:

FIS2002

Level:

200

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2017/2018 - 1S

Active?	Yes
Responsible unit:	Department of Physics and Astronomy
Course/CS Responsible:	Bachelor in Physics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:B	0	Official Study Plan	3	-	6	56	162
L:CC	3	Plano de estudos a partir de 2014	2	-	6	56	162
			3
L:F	51	Official Study Plan	2	-	6	56	162
L:G	0	study plan from 2017/18	3	-	6	56	162
L:M	2	Official Study Plan	2	-	6	56	162
			3
L:Q	2	study plan from 2016/17	3	-	6	56	162
MI:EF	31	study plan from 2017/18	2	-	6	56	162

Teaching language

Portuguese

Objectives

Train ideas and methods of wave mechanics, elasticity and hydrodynamics. • Understand the linear coupling between oscillators, the basic of normal modes. • Understand the concept of wave, and their description and their applications in various areas of applied physics. • Perform Fourier analysis, as well as understand its importance in the study of linear waves. • Understand the result of overlapping waves and the phenomenon of interference and diffraction. • Understand the concepts of phase velocity and group velocity and the concept of dispersion. • Understand and describe the state of deformation and the stresses applied in isotropic elastic body, as well as relate the two. • Analyze simple problems of fluid dynamics and fluid balance. • Connecting to technology issues.

Learning outcomes and competences

• to acquire knowledge in the methodology used of Wave Mechanics, Elasticity and Hydrodynamics.
• gain knowledge about normal modes.
• Understand the wave concept, its description and classifications, wave overlap and interference and diffraction phenomena.
• gain concepts of phase and group velocity and the concept of dispersion.
• Be able to describe the state of deformation and the stresses applied on an isotropic elastic body.
• Acquire knowledge about fluid static and dynamics.
• Perform Fourier analysis as well as understand its importance in the study of wave motion.
• Connecting to technology problems.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Knowledge acquired in UCs of the 1 year in particular in Mathematical Analysis and Linear Algebra and Analytical Geometry and in Mechanics.

Program

Simple harmonic motion. Complex numbers. Oscillators superposition.
Damped oscillator. Mechanical energy and impedance.
Forced oscillator. Resonance. Quality factor.
Coupled oscillators. Normal modes of vibration. General method to study normal modes.
Transverse waves. Characteristic impedance. Reflection and transmission of waves. Standing waves. Waves in gases. Longitudinal and transversal waves in solids. Reflection and transmission. Wave equation. Speed of propagation. Interference and diffraction. Young's experiment. Generalization to N slots. Fourier and diffraction theory. Uncertainty of Heisenberg.
Elasticity. Hooke's Law, Young's modulus, Poisson, compressibility and stiffness. Torsion module and stiffness. Flexion and Young's modulus. Buckling and normal modes. Fluid media. Hydrostatic. Conservative forces. Hydrodynamics. Equations of continuity and Euler. Poiseuille's law and Searle viscometer.
The module on fluid media is optional for students of MI: EF, since in the 5th semester they will attend the course "Mechanics of Fluid Media".

Mandatory literature

José Machado da Silva; Ondas e Meios Contínuos, U.Porto editorial, 2013
Young Donald F. 070; Introduction to fluid mechanics. ISBN: 9780470902158
French A. P.; Vibrations and waves
Pain H. J.; The physics of vibrations and waves. ISBN: 0-471-99407-3
Main Iain G.; Vibrations and waves in physics. ISBN: 0-521-21662-1

Teaching methods and learning activities

Classroom teaching with lectures, practical  practices.

Distribution by SIGARRA of notes (lectures support); classes of problems 

keywords

Physical sciences

Evaluation Type

Evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	100,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Frequência das aulas	56,00
Total:	56,00

Eligibility for exams

Not exceedind the number of absences in TP  classes corresponding to 25% of predicted classes.

Calculation formula of final grade

The final mark mark obtained in the final written exam.

Observations

Students who signed up last year and attended, are exempted from the frequencies to TP classes.

During the period of the module on fluid media, the TP classes include complementary problems about the previously presented program. These problems must be solved, in particular by students for whom the module on fluid media is optional.