Course: Vibrations and waves.

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Course title Vibrations and waves.
Course code KFY/KMV
Organizational form of instruction Lecture + Lesson
Level of course unspecified
Year of study not specified
Semester Winter and summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
  • Vokurka Karel, prof. Ing. DrSc.
Course content
Oscillations. Dynamics of an oscillating system. Free undamped oscillations, free damped oscillations, forced harmonic oscillations, resonance, pendulums, energy of oscillations, mean values of periodic quantities. Superposition and decomposition of oscillations. Superposition of oscillations having the same frequency, graphical method, goniometric method, vector representation of oscillations, method of the vector diagram, symbolic-complex method. Superposition of oscillations having different frequencies, superposition of oscillations having slightly different frequencies. Superposition of oscillations in different directions. Decomposition of complex periodic oscillations into harmonic components. Waves. Basic terms. Transverse and longitudinal waves, phase velocity of waves, wavelength, steady and transient waves, periodic waves, irregular steady waves. Wave equation, harmonic waves. Superposition of waves. Waves with the same frequency, waves of different frequencies, waves with slightly different frequencies. Standing waves and vibrations. Total standing waves, partial standing waves, vibration of points in a line, strings, bars, pipes. Waves in space. Huygense principle, wave reflection and refraction, interference of waves, wave diffraction, acoustic velocity and acoustic pressure, energy transferred by waves. Doppler principle. Velocity of waves in liquids, gases and solids. Acoustics. Sound, infrasound, ultrasound, threshold of hearing and threshold of pain, sound intensity levels, acoustic pressure levels. Superposition of irregular sounds, energetic principle of superposition.

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing)
  • Class attendance - 12 hours per semester
  • Class attendance - 42 hours per semester
Learning outcomes
The course gives explanation of the mechanical vibrations and waves together with acoustics.
Basic knowledge of vibrations and waves.
Passed exam from subject FY1*M.

Assessment methods and criteria
Oral exam, Written exam

The examination is in written form, knowledge of problems solved at seminars and of lectured topics is required
Recommended literature
  • D. Halliday, R. Resnick, J. Walker. Fyzika, část 2, Mechanika - Termodynamika, str. 409-494..
  • HORÁK, Z., KRUPKA, F. Fyzika, Sv. 1 a 2. SNTL Praha, 1976.
  • KOPAL, A. a kol. Fyzika I.. Liberec: TUL, 2005.
  • MAIN, I. G. Kmity a vlny ve fyzice. Academia Praha, 1990.
  • SLAVÍK, J.B. a kol. Základy fyziky I, str. 295-547.. Nakladatelství ČSAV, Praha, 1962.

Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester