zaključna naloga Razvojno raziskovalnega programa I. stopnje Strojništvo
Kaja Pirnar (Author), Miha Brojan (Mentor)

Abstract

V zaključni nalogi se ukvarjamo z določitvijo elastičnega modula elastičnega obroča, ki se obešen na klin deformira zaradi lastne teže. V nalogi najprej izpeljemo glavno diferencialno enačbo problema, ki jo za zmerno velike pomike najprej rešimo s preturbacijsko metodo in za velike pomike - z metodo Runge Kutta 4. reda in strelsko metodo. Eksperimentalno pridobljene točke upogibnice obroča primerjamo z numerično izračunanimi, tako da spreminjamo vhodni podatek (modul elastičnosti) in spremljamo kdaj se obe krivulji najbolj ujemata. S takšnim postopkom določimo modul elastičnosti obroča. Izračunamo relativne napake med točkami krivulje, pridobljenimi eksperimentalno in numerično in opazimo dobro ujemanje. Na koncu primerjamo rezultate aproksimativnega in numeričnega izračuna krivulje obroča.

Keywords

diplomske naloge;elastični moduli;obroči;lastna teža;upogibna togost;perturbacijska metoda;Runge Kutta 4. reda;

Data

Language: Slovenian
Year of publishing:
Typology: 2.11 - Undergraduate Thesis
Organization: UL FS - Faculty of Mechanical Engineering
Publisher: [K. Pirnar]
UDC: 539.32:621.887:519.6(043.2)
COBISS: 31559683 Link will open in a new window
Views: 598
Downloads: 140
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: English
Secondary title: Measurement of elastic modulus of a hanging ring
Secondary abstract: In the final thesis we deal with determination of elastic modulus of a hanging elastic ring, which, deforms under self-weight. We first derive the main differential equation,which is solved by perturbation method for moderately large displacements and by 4th order Runge Kutta and shooting method for large displacements. We compare experimentally obtained points of the curve of a hanging ring to numerically calculated ones, and change the elastic modulus (unknown parameter) in the process to obtain the best match between the two methods. We calcutated the relative errors between the points of experimental and numerical curves and observe a relatively good match. We also compare the results of the approximative and numerical calculations.
Secondary keywords: thesis;elastic modulus;elastic rings;self-weight;flexural rigidity;perturbation method;4th order Runge Kutta;
Type (COBISS): Final paper
Study programme: 0
Embargo end date (OpenAIRE): 1970-01-01
Thesis comment: Univ. v Ljubljani, Fak. za strojništvo
Pages: XIII, 26 f.
ID: 12036942
Recommended works:
, zaključna naloga Razvojno raziskovalnega programa I. stopnje Strojništvo
, zaključna naloga Razvojno raziskovalnega programa I. stopnje Strojništvo
, diplomsko delo visokošolskega študijskega programa
, magistrsko delo magistrskega študijskega programa II. stopnje Strojništvo
, case study, Varaždin, Croatia