prikaz prve stranice dokumenta Free vibrations of rotating cylindrical shells with both ends clamped
Embargo period 2026-07-16
master's thesis
Free vibrations of rotating cylindrical shells with both ends clamped
Zagreb: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, 2024. urn:nbn:hr:235:246552
Radoš, Ružica
University of Zagreb
Faculty of Mechanical Engineering and Naval Architecture

Institutional repository: Repository of Faculty of Mechanical Engineering and Naval Architecture University of Zagreb

Cite this document

Radoš, R. (2024). Free vibrations of rotating cylindrical shells with both ends clamped (Master's thesis). Zagreb: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture. Retrieved from https://urn.nsk.hr/urn:nbn:hr:235:246552

Radoš, Ružica. "Free vibrations of rotating cylindrical shells with both ends clamped." Master's thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, 2024. https://urn.nsk.hr/urn:nbn:hr:235:246552

Radoš, Ružica. "Free vibrations of rotating cylindrical shells with both ends clamped." Master's thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, 2024. https://urn.nsk.hr/urn:nbn:hr:235:246552

Radoš, R. (2024). 'Free vibrations of rotating cylindrical shells with both ends clamped', Master's thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, accessed 30 August 2024, https://urn.nsk.hr/urn:nbn:hr:235:246552

Radoš R. Free vibrations of rotating cylindrical shells with both ends clamped [Master's thesis]. Zagreb: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture; 2024 [cited 2024 August 30] Available at: https://urn.nsk.hr/urn:nbn:hr:235:246552

R. Radoš, "Free vibrations of rotating cylindrical shells with both ends clamped", Master's thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:235:246552

Metadata
TitleFree vibrations of rotating cylindrical shells with both ends clamped
Title (croatian)Slobodne vibracije rotirajuće cilindrične ljuske s uklještenjem na oba kraja
AuthorRužica Radoš
MentorNeven Alujević (mentor)
MentorZiv Brand https://orcid.org/0009-0005-5424-9754 (komentor)
GranterUniversity of Zagreb
Faculty of Mechanical Engineering and Naval Architecture
Zagreb
Defense date and country2024-07-16, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Mechanical Engineering
Abstract
In this thesis free vibrations of rotating cylindrical shells with clamped-clamped boundary conditions are considered. Firstly, an analytical model is developed, which determines the exact natural frequencies of both stationary shells and shells rotating with a constant angular speed about its axis. The obtained results are validated by a comparison with the results of an experimental study and two numerical studies for stationary shells, and two analytical studies for rotating shells. An excellent agreement is observed. Secondly, an approximate solution using the Rayleigh-Ritz method is developed. In this solution, exact circumferential mode shape profiles are kept, but the axial profiles of the mode shapes are approximated by the mode shapes of a clamped-clamped beam. These results are validated by a comparison with the exact solution developed here. The Campbell diagrams corresponding to the two solutions practically overlap. Therefore, a simple and convenient method is developed to determine the natural frequencies of a rotating shell from those of a stationary shell.
Abstract (croatian)
U ovom radu proučavaju se slobodne vibracije rotirajuće cilindrične ljuske s uklještenjem na oba kraja. Prvo su egzaktno određene prirodne frekvencije i prirodni oblici za stacionarne ljuske, kao i za ljuske koje se rotiraju konstantnom kutnom brzinom oko svoje osi. Valjanost razvijenog analitičkog modela provjerena je usporedbom s eksperimentalnim i dvama numeričkim rezultatima za stacionarne ljuske, te s dvama analitičkim rezultatima za rotirajuće ljuske. Uočeno je izvrsno podudaranje rezultata. Povrh toga, razvijeno je i približno rješenje pomoću metode Rayleigh-Ritz. Kod ovog rješenja zadržani su egzaktni cirkumferencijalni profili prirodnih oblika, dok su aksijalni profili aproksimirani profilima grede uklještene na oba kraja. Valjanost ovog rješenja potvrđena je usporedbom s egzaktnim rješenjem. Campbellovi dijagrami za dva razvijena modela praktički se poklapaju. Dakle, razvijena je jednostavna i praktična metoda za proračun prirodnih frekvencija rotirajuće ljuske iz poznatih prirodnih frekvencija stacionarne ljuske.
Keywords
Keywords (english)
Languageenglish
URN:NBNurn:nbn:hr:235:246552
ProjectNumber: IP-2019-04-5402
Title: Dinamika Aktivnih i Rotirajućih KONstrukcija
Title: Dynamics of Active and Rotating Structures
Acronym: DARS
Leader: Neven Alujević
Jurisdiction: Croatia
Funder: Hrvatska zaklada za znanost
Funding stream: Research Projects
Study programmeTitle: Mechanical Engineering
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra inženjer/inženjerka strojarstva (magistar/magistra inženjer/inženjerka strojarstva)
Type of resourceText
File originBorn digital
Access conditionsEmbargoed access
Embargo expiration date: 2026-07-16
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Created on2024-07-15 11:32:21