Analiza geometrijskih poenostavitev pri določitvi mehanskega odziva cevi v stiku s podporo

Šter, Žan (author), Halilovič, Miroslav (mentor), Koc, Pino (comentor)

V nalogi je obravnavana cev krožnega prereza, ki je vpeta v togo podporo in je podvržena tlačni obremenitvi fluida v cevovodu ter temperaturni spremembi. Problem je analiziran z upoštevanjem različnih geometrijskih poenostavitev. Kot najenostavnejši pristop je problem analiziran z uporabo osnosimetričnih primerov, ki jih v delu rešujemo analitično. Nadalje je problem obravnavan kot dvodimenzionalni problem, z upoštevanjem predpostavk ravninsko deformacijskega ter ravninsko napetostnega stanja. Zaradi kompleksnosti obravnave sta primera reševana po metodi končnih elementov. Nazadnje pa je izveden še preračun z upoštevanjem tridimenzionalnega problema, ki je prav tako analiziran po metodi končnih elementov. Na podlagi dobljenih napetostno-deformacijskih stanj so pristopi med seboj primerjani in ovrednoteni.

• Language: Slovenian
• Keywords: cevovodi, tlačno in temperaturno obremenjeni cevovodi, ravninsko napetostno stanje, ravninsko deformacijsko stanje, linearna elastičnost, metoda končnih elementov
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Publisher: [Ž. Šter]
• Year: 2018
• PID: 20.500.12556/RUL-102551
• UDC: 519.61:621.643(043.2)
• COBISS.SI-ID: 16355611
• Publication date in RUL: 02.09.2018

ŠTER, Žan, 2018, Analiza geometrijskih poenostavitev pri določitvi mehanskega odziva cevi v stiku s podporo [online]. Bachelor’s thesis. Ž. Šter. [Accessed 26 March 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=102551

Secondary language

• Language: English
• Title: Analysis of geometric simplifications in determining the mechanical response of a pipe in contact with support

Abstract

The thesis deals with a section of a circular pipe, which is clamped in a rigid support and is subject to pressure load of a fluid and temperature change. The problem is analyzed by considering various geometric simplifications. As the simplest approach, the problem is first analyzed with the use of axisymmetric examples, which are in practice part solved analytically. Furthermore, the problem is treated as a two-dimensional problem, taking into account the assumptions of plane stress and plane strain conditions. Due to the complexity of the treatment, finite element method is used to solve the cases. Finally, a calculation is made considering a three-dimensional problem, which is also solved by the finite element method. Based on the obtained stress-strain conditions, the approaches are compared and evaluated.

• Keywords: pipelines, pressurized and thermally stressed pipelines, plane stress condition, plane strain condition, linear elasticity, finite element method