Napetostno stanje v nezvezno temperaturno obremenjeni okrogli cevi

Jevnikar, Miha (author), Videnič, Tomaž (mentor)

Obravnavali smo problem temperaturnih napetosti v homogeni, izotropni debelostenski cevi. Za izpeljavo enačb smo uporabili upogibno teorijo. Upoštevali smo dejansko debelino cevi in nezvezno porazdelitev temperature na notranjem robu cevi. Temperaturo na zunanjem robu cevi smo po celotnem obodu upoštevali enako in konstanto. Pri izpeljavi temperaturne porazdelitve po cevi smo uporabili metodo kompleksnih spremenljivk. Na osnovi znane temperaturne porazdelitve smo z upogibno teorijo izpeljali enačbo za določitev temperaturnih napetosti. Rezultati enačbe se precej dobro ujemajo z rezultati, ki so jih objavili drugi raziskovalci.

• Language: Slovenian
• Keywords: temperaturna porazdelitev, deformacije, radij ukrivljenosti, temperaturne napetosti
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Publisher: [M. Jevnikar]
• Year: 2018
• PID: 20.500.12556/RUL-103041
• UDC: 62-272.82+658.5(043.2)
• COBISS.SI-ID: 16419611
• Publication date in RUL: 13.09.2018

JEVNIKAR, Miha, 2018, Napetostno stanje v nezvezno temperaturno obremenjeni okrogli cevi [online]. Bachelor’s thesis. M. Jevnikar. [Accessed 5 April 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=103041

Secondary language

• Language: English
• Title: Stress state in non-uniformly temperature loaded circular tube

Abstract

We discussed the problem of thermal stress in homogeneous, isotropic thick-walled tube. The banding theory was used to derive the equations. We took into account the actual thickness of the tube and the non-uniform temperature distribution on the inner edge of the tube. The temperature on the outer edge of the tube throughout the perimeter was considered constant. The temperature distribution in the tube was derived by using complex variable method. Based on known temperature distribution we used banding theory to derive the thermal stress equation in the tube. The results of our equation match quite well with the results published by other researchers.

• Keywords: temperature distribution, strain, radius of curvature, thermal stress