Frekvenčna analiza sistema z več prostostnimi stopnjami

Kopač, Rok (author), Čepon, Gregor (mentor), Boltežar, Miha (comentor)

V zaključni nalogi je predstavljena frekvenčna analiza izbranega dinamskega sistema z dvema prostostnima stopnjama. V prvem delu naloge je predstavljena teorija dinamike sistemov z več prostostnimi stopnjami, ki omogoča izračun lastnih frekvenc in amplitud odziva. Drugi del naloge zajema zapis analitičnih modelov za prosto in vzbujeno nihanje obravnavanega sistema, ki smo ju analizirali v programskem okolju Wolfram Mathematica. Določili smo vrednosti lastnih frekvenc in potek amplitud odziva v odvisnosti od vzbujevalne frekvence. S primerjavo lastnih frekvenc smo pokazali dobro ujemanje med modeloma.

• Language: Slovenian
• Keywords: prostostne stopnje, lastne frekvence, amplituda odziva, vzbujanje, resonanca
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Place of publishing: Ljubljana
• Publisher: [R. Kopač]
• Year: 2019
• Number of pages: XIV, 28 f.
• PID: 20.500.12556/RUL-110509
• UDC: 534.1:534.242:519.6(043.2)
• COBISS.SI-ID: 16929819
• Publication date in RUL: 15.09.2019

Secondary language

• Language: English
• Title: Frequency analysis of multi degree of freedom system

Abstract

This thesis presents frequency analysis of given dynamic system with two degrees of freedom. In the first part we present the theory for dynamic of systems with multi degrees of freedom, which enables us to identify natural frequency of the system and its response amplitude. The second part presents analytical models for determination of system response with and without excitation force. The calculations were preformed in Wolfram Mathematica. We calculated values of natural frequency and and response amplitudes in corelation with excitation frequency. We demonstrated good agreement of natural frequencies between models.

• Keywords: freedom degrees, natural frequency, response amplitude, excitation system, resonance