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Elastični uklon vitkih cevi pod vplivom notranjega tlaka
ID Kambič, Luka (Author), ID Brojan, Miha (Mentor) More about this mentor... This link opens in a new window

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Abstract
Upogibni uklon vitkih enoosnih konstrukcijskih elementov se pojavi zaradi osnih sil. V cevovodih pa se lahko pojavi tudi zaradi notranjega hidrostatičnega tlaka, ki vzbudi osno silo. Ta pojav bomo v zaključnem delu preučili na primeru gumijaste cevi. Najprej bomo izpeljali matematični model za opis uklona cevi iz ravnovesja sil in energije. Izpeljali bomo tudi enačbo za določanje elastičnih lastnosti cevi iz odvisnosti med notranjim tlakom in radialnim raztezkom. Nato bomo izvedli eksperiment za potrditev hipotez in preverjanje matematičnih modelov. Izkaže se, da se matematični izraz, ki opisuje hiperelastični odziv cevi zelo dobro prilega eksperimentalnim rezultatom. Ob uporabi eksperimentalno določenih snovnih lastnosti lahko zapisan matematični model uklona ustrezno opiše tudi valovno dolžino in amplitudo uklona cevi.

Language:Slovenian
Keywords:elastični uklon, vitka cev, hiperelastičnost, hidrostatični tlak, valovna dolžina
Work type:Final paper
Typology:2.11 - Undergraduate Thesis
Organization:FS - Faculty of Mechanical Engineering
Place of publishing:Ljubljana
Publisher:[L. Kambič]
Year:2021
Number of pages:X, 23 str.
PID:20.500.12556/RUL-130227 This link opens in a new window
UDC:539.31:621.643.2:532.11(043.2)
COBISS.SI-ID:84183555 This link opens in a new window
Publication date in RUL:11.09.2021
Views:925
Downloads:21
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Secondary language

Language:English
Title:Elastic buckling of slender pipes subjected to internal pressure
Abstract:
Buckling of slender uniaxial structural elements is the result of axial forces. In pipelines, it can occur due to the internal hydrostatic pressure that causes the occurrence of axial forces. In this work, the phenomenon is studied in rubber pipes. First, a mathematical model describing the buckling of pipes is derived from the equations of force equilibrium and energy. Also, an equation to determine the elastic properties of pipes is derived from the internal pressure and radial stretch. Finally, an experiment is conducted to prove the hypothesis and evaluate the mathematical models. It is found that the mathematical expression describing the hyperelastic response of pipes correlates with the experimental results. Using experimentally determined material properties, the mathematical model for buckling accurately describes the wavelength and amplitude of buckled pipes.

Keywords:elastic buckling, slender pipes, hyperelasticity, hydrostatic pressure, wavelenght

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