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Analiza izvenravninskih deformacij plošč zgibanih po Miura vzorcu
ID Haberman, Leon (Author), ID Brojan, Miha (Mentor) More about this mentor... This link opens in a new window

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Abstract
V nalogi smo obravnavali izvenravninske deformacije plošč, ki so zgibane po Miura vzorcu. Takšne deformacije nastanejo zaradi vpliva geometrije vzorca in medsebojnega delovanja ploskev. Zasnovali smo 27 vzorcev z različnimi kombinacijami geometrijskih parametrov, jih izdelali z laserskim rezanjem in ročnim zlaganjem ter izmerili s pomočjo optičnega 3D skenerja. Na osnovi pridobljenih podatkov smo določili diskretno Gaussovo in geodetsko ukrivljenost ter z uporabo Gauss-Bonnetovega izreka izračunali zvezno Gaussovo ukrivljenost posameznih ploskev. Ugotovili smo, da vsi vzorci izkazujejo globalno negativno (sedlasto) ukrivljenost in da na deformacije najbolj vplivata kot $\alpha$ in dolžina stranice a, medtem ko je vpliv parametra b skoraj zanemarljiv.

Language:Slovenian
Keywords:Miura vzorec, izvenravninske deformacije, Gaussova ukrivljenost, 3D skeniranje, geodetska ukrivljenost, Gauss-Bonnetov izrek
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:FS - Faculty of Mechanical Engineering
Year:2025
Number of pages:XIII, 48 f.
PID:20.500.12556/RUL-171899 This link opens in a new window
UDC:539.385:621.9.048:519.218.7(043.2)
COBISS.SI-ID:248238851 This link opens in a new window
Publication date in RUL:04.09.2025
Views:149
Downloads:42
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Secondary language

Language:English
Title:Analysis of out-of-plane deformations in Miura-patterned folded plates
Abstract:
The study focuses on out-of-plane deformations of plates folded according to the Miura pattern. Such deformations arise due to the influence of the pattern’s geometry and the interaction between the facets. We designed 27 patterns with different combinations of geometric parameters, manufactured them using laser cutting and manual folding, and measured them with an optical 3D scanner. Based on the obtained data, we determined the discrete Gaussian and geodesic curvature and, using the Gauss–Bonnet theorem, calculated the continuous Gaussian curvature of individual surfaces. We found that all patterns exhibit global negative (saddle-shaped) curvature and that the deformations are most influenced by the angle $\alpha$ the side length a, while the influence of parameter b is almost negligible.

Keywords:Miura pattern, out-of-plane deformations, Gaussian curvature, 3D scanning, geodesic curvature, Gauss-Bonnet theorem

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