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Modalna analiza sistema z večimi prostostnimi stopnjami
ID Trček, Martin (Author), ID Čepon, Gregor (Mentor) More about this mentor... This link opens in a new window

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Abstract
V zaključni nalogi je opravljena modalna analiza dinamskega sistema z večimi prostostnimi stopnjami. Najprej je predstavljena teorija, ki smo jo uporabili za preračun sistema. Teorija vključuje osnove nihanja, matrični zapis enačb, metodo Runge-Kutta ter predpostavka o majhnih kotih. Po teoriji sledi izpeljava gibalnih enačb, njun zapis v matrični obliki ter definicija harmoničnega vzbujanja. Končno je opravljen preračun v programu Wolfram Mathematica, ki vključuje določitev lastnih frekvenc, oblik ter izris lastnega in vzbujenega odziva sistema.

Language:Slovenian
Keywords:modalna analiza, sistem z večimi prostostnimi stopnjami, lastne frekvence, harmonično vzbujanje, odziv sistema
Work type:Final paper
Typology:2.11 - Undergraduate Thesis
Organization:FS - Faculty of Mechanical Engineering
Place of publishing:Ljubljana
Publisher:[M. Trček]
Year:2021
Number of pages:XII, 31 str.
PID:20.500.12556/RUL-129537 This link opens in a new window
UDC:534.1:534.242:519.6(043.2)
COBISS.SI-ID:81066243 This link opens in a new window
Publication date in RUL:04.09.2021
Views:1472
Downloads:1112
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Secondary language

Language:English
Title:Modal analysis of a system with multiple degrees of freedom
Abstract:
This work presents the modal analysis of a multiple degree of freedom system. Firstly the theory, which was used to deduce the equation of motion and to perform the modal analysis is presented. Theory includes basics of oscilation, matrix formulation of equations, the Runge-Kutta method and small angle approximation. Afterwards the derivation of equations of motion , which are written in matrix notation is presented along with the harmonic excitation. The modal parameters are calculated using numerical modal analysis with Mathematica software. Within the results, the own and forced responses of the system are presented and the parametric analysis is performed.

Keywords:modal analysis, multiple degree of freedom systems, natural frequencies, harmonic excitation, system response

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