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master's thesis
Matematičko modeliranje puhačkih instrumenata
Zagreb: University of Zagreb, Faculty of Science, 2017. urn:nbn:hr:217:092332
Malezan Jurić, Melita
University of Zagreb
Faculty of Science
Department of Mathematics

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Malezan Jurić, M. (2017). Matematičko modeliranje puhačkih instrumenata (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:092332

Malezan Jurić, Melita. "Matematičko modeliranje puhačkih instrumenata." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:092332

Malezan Jurić, Melita. "Matematičko modeliranje puhačkih instrumenata." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:092332

Malezan Jurić, M. (2017). 'Matematičko modeliranje puhačkih instrumenata', Master's thesis, University of Zagreb, Faculty of Science, accessed 20 April 2024, https://urn.nsk.hr/urn:nbn:hr:217:092332

Malezan Jurić M. Matematičko modeliranje puhačkih instrumenata [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2017 [cited 2024 April 20] Available at: https://urn.nsk.hr/urn:nbn:hr:217:092332

M. Malezan Jurić, "Matematičko modeliranje puhačkih instrumenata", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:217:092332

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Metadata
TitleMatematičko modeliranje puhačkih instrumenata
AuthorMelita Malezan Jurić
MentorEduard Marušić-Paloka (mentor)
Committee memberEduard Marušić-Paloka (predsjednik povjerenstva)
Committee memberIvica Nakić (član povjerenstva)
Committee memberVedran Krčadinac (član povjerenstva)
Committee memberJuraj Šiftar (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2017-04-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U radu je dana klasifikacija puhačkih instrumenata i pripadne matematičke formulacije proizvodnje zvuka koji oni proizvode. Analiziran je rombos, slobodni aerofon i dane su jednadžbe koje opisuju njegovo gibanje prilikom njegovog sviranja. Izvedena je valna jednadžba za prave aerofone cjevastog oblika, te jednadžbe harmonika. Opisana su osnovna svojstva valova; princip superpozicije i stojni valovi. U ovisnosti o građi pravog aerofona, jesu li obje strane cijevi otvorene (u slučaju flaute) ili je jedna strana zatvorena (u slučaju klarineta) dobivamo pripadni skup harmonika. Od pravih aerofona analizirani su skandinavska frulica, okarina i rog.
Abstract (english)
In this paper the classification of wind instruments is given, alongside the mathematical formulation on making of the sound. The analysis of the bullroarer, the free aerophone and the equations that describe his motion while it’s being played is performed. Derivation of the wave equation is done for proper aerophones that are tube-shaped as well as harmonic equations. Basic wave properties are described such as superposition principle and standing waves. Depending on the structure of proper aerophone, weather the both sides of the tube are open (in case of the flute) or one side of the tube is closed (in case of the clarinet) we’re getting harmonics set accordingly. Proper aerophones that have been analysed are willow flute, ocarina and the horn.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:092332
Study programmeTitle: Computer Science and Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra računarstva i matematike (magistar/magistra računarstva i matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of the Faculty of Science
Created on2017-06-09 09:18:45

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