Numerični model za napoved gubanja toroidnih lupin z mehkimi jedri

Drofenik, Lovro (author), Brojan, Miha (mentor)

V nalogi je obravnavano gubanje toroidnih lupin z mehkimi jedri. Na osnovi teorije tankih lupin in Winklerjevega modela je bila zapisana energija sistema ter s Fourierjevimi vrstami predstavljena v numerični obliki. Z optimizacijo v Pythonu so bili iskani energijski minimumi in spremljan nastanek gubanja pri različnih obremenitvah. Rezultati pokažejo različne načine gubanja ter vpliv geometrije in togosti materiala na obliko deformacij.

• Language: Slovenian
• Keywords: torus, lupine, toroidne lupine, gubanje, mehka jedra, numerični modeli, Fourierjeva analiza, optimizacija energije
• Work type: Bachelor thesis/paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Year: 2025
• Number of pages: IX, 37 f.
• PID: 20.500.12556/RUL-173710
• UDC: 539.387:624.074.4:517.443(043.2)
• COBISS.SI-ID: 250245379
• Publication date in RUL: 20.09.2025

Secondary language

• Language: English
• Title: Numerical model for predicting wrinkling of toroidal shells with soft cores

Abstract

The thesis deals with the wrinkling of toroidal shells with soft cores. Based on thin shell theory and the Winkler model, the system energy was derived and expressed numerically using Fourier series. Optimization in Python was used to search for energy minima and to observe wrinkling under different loads. The results show different wrinkling modes and the influence of geometry and material stiffness on deformation shapes.

• Keywords: torus, shells, toroidal shells, wrinkling, soft cores, numerical models, Fourier analysis, energy optimization