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undergraduate thesis
Matematičko modeliranje i analiza vibracija
2021. urn:nbn:hr:190:926910
Božić, Luka
University of Rijeka
Faculty of Engineering
Department of Mathematics, Physics, and Foreign Languages
Section of Applied Mathematics

Cite this document

Božić, L. (2021). Matematičko modeliranje i analiza vibracija (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:926910

Božić, Luka. "Matematičko modeliranje i analiza vibracija." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2021. https://urn.nsk.hr/urn:nbn:hr:190:926910

Božić, Luka. "Matematičko modeliranje i analiza vibracija." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2021. https://urn.nsk.hr/urn:nbn:hr:190:926910

Božić, L. (2021). 'Matematičko modeliranje i analiza vibracija', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 15 October 2024, https://urn.nsk.hr/urn:nbn:hr:190:926910

Božić L. Matematičko modeliranje i analiza vibracija [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2021 [cited 2024 October 15] Available at: https://urn.nsk.hr/urn:nbn:hr:190:926910

L. Božić, "Matematičko modeliranje i analiza vibracija", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:190:926910

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Metadata
TitleMatematičko modeliranje i analiza vibracija
Title (english)Mathematical modeling and vibration analysis
AuthorLuka Božić
MentorMelita Štefan Trubić (mentor)
MentorNelida Črnjarić-Žic (komentor)
Committee memberRobert Basan (predsjednik povjerenstva)
Committee memberNelida Črnjarić-Žic (član povjerenstva)
Committee memberSanjin Braut (član povjerenstva)
Committee memberZoran Čarija (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
(Department of Mathematics, Physics, and Foreign Languages)
(Section of Applied Mathematics)
Rijeka
Defense date and country2021-05-25, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Mechanical Engineering
Abstract
Diferencijalna jednadžba drugog reda kojom se modelira harmonijski oscillator izvedena je iz Newtonovih zakona. U ovom su radu promatrani razni slučajevi ponašanja harmonijskog oscilatora: slobodne vibracije bez prigušenja, slobodne gušene vibracije i prisilne vibracije. Matematički model zapisan je i kao sustav linearnih diferencijalnih jednadžbi prvog reda. Svojstvene vrijednosti i svojstveni vektori pripadajuće matrice sustava temelj su za analizu rješenja promatranog sustava. Dobivena se rješenja se prikazuju i u tzv. faznoj ravnini. Taj postupak je izveden u Wolfram Mathematici te variran za različite vrijednosti konstante opruge, mase i koeficijenta gušenja. Naposlijetku su prikazani praktični primjeri primjene na neke mehaničke i električne sustave.
Abstract (english)
The second order differential equation modelling harmonic oscillator is derived from Newton laws. In this paper, various cases of harmonic oscillator behavior are observed: free vibrations without damping, free damped vibrations and forced vibrations. The mathematical model is also written as a system of first-order linear differential equations. The eigenvalues and eigenvectors of the corresponding matrix system are the basis for the analysis of the solution of the observed system. The obtained solutions are also presented in the so-called phase plane. This procedure was performed in Wolfram Mathematica and varied for different values of spring constant, mass and damping coefficient. Finally, practical examples of application to some mechanical and electrical systems are presented.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:926910
Study programmeTitle: Mechanical Engineering
Study programme type: professional
Study level: undergraduate
Academic / professional title: stručni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka strojarstva (stručni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka strojarstva)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2021-05-28 13:11:24