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undergraduate thesis
Primjena Laplaceovih transformacija u analizi vibracija
2021. urn:nbn:hr:190:909262
Vukić, Patrik
University of Rijeka
Faculty of Engineering
Department of Mathematics, Physics, and Foreign Languages
Section of Applied Mathematics

Cite this document

Vukić, P. (2021). Primjena Laplaceovih transformacija u analizi vibracija (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:909262

Vukić, Patrik. "Primjena Laplaceovih transformacija u analizi vibracija." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2021. https://urn.nsk.hr/urn:nbn:hr:190:909262

Vukić, Patrik. "Primjena Laplaceovih transformacija u analizi vibracija." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2021. https://urn.nsk.hr/urn:nbn:hr:190:909262

Vukić, P. (2021). 'Primjena Laplaceovih transformacija u analizi vibracija', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 17 October 2024, https://urn.nsk.hr/urn:nbn:hr:190:909262

Vukić P. Primjena Laplaceovih transformacija u analizi vibracija [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2021 [cited 2024 October 17] Available at: https://urn.nsk.hr/urn:nbn:hr:190:909262

P. Vukić, "Primjena Laplaceovih transformacija u analizi vibracija", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:190:909262

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Metadata
TitlePrimjena Laplaceovih transformacija u analizi vibracija
Title (english)Laplace transforms and application to vibration analysis
AuthorPatrik Vukić
MentorMelita Štefan Trubić (mentor)
MentorNelida Črnjarić-Žic (komentor)
Committee memberRobert Basan (predsjednik povjerenstva)
Committee memberZlatan Car (član povjerenstva)
Committee memberVladimir Glažar (član povjerenstva)
Committee memberVedran Mrzljak (član povjerenstva)
Committee memberMelita Štefan Trubić (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
(Department of Mathematics, Physics, and Foreign Languages)
(Section of Applied Mathematics)
Rijeka
Defense date and country2021-09-17, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Mechanical Engineering
Abstract
U ovom radu definiraju se Laplaceova transformacija i njezina osnovna svojstva. Definiraju se Heavisidova step funkcija i Diracova delta funkcija. Opisuju se obične diferencijalne jednadžbe i diferencijalne jednadžbe drugog reda s konstantnim koeficijentima kojima se modeliraju vibracije. Navode se klasične metode rješavanja diferencijalnih jednadžbi drugog reda s konstantnim koeficijentima. Pokazuje se primjena Laplaceovih transformacija na diferencijalne jednadžbe. U predzadnjem poglavlju rada opisuju se modeli vibracijskih sustava (vibracijski sustavi s jednim stupnjem slobode gibanja) i primjena Laplaceovih transformacija prilikom analize vibracijskih sustava. Na kraju rada prikazana je analiza vibracijskih sustava pomoću Laplaceovih transformacija u računalnom softveru MATLAB.
Abstract (english)
In this thesis Laplace transform and some of its properties will be defined. Heaviside step function and Dirac's delta function will be described. We will be introduced to ordinary differential equations and differential equations of second order with constant coefficients which are used for modeling vibrations. Some of ordinary solving methods for those equations will be shown. Application of Laplace transform on differential equations will be explained. The vibrations of the systems will be defined and application of Laplace transform in analysing those systems, especially for systems with one degree of freedom. At the end descibed systems are analysed with MATLAB software.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:909262
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
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Created on2021-10-13 12:35:06