{"id":21979,"date":"2025-09-01T14:20:56","date_gmt":"2025-09-01T13:20:56","guid":{"rendered":"https:\/\/www.arhns.uns.ac.rs\/givsf\/?p=21979"},"modified":"2025-09-01T14:20:56","modified_gmt":"2025-09-01T13:20:56","slug":"dvostruko-zakrivljene-povrsine-od-2d-ravanskih-elemenata","status":"publish","type":"post","link":"https:\/\/www.arhns.uns.ac.rs\/givsf\/dvostruko-zakrivljene-povrsine-od-2d-ravanskih-elemenata\/","title":{"rendered":"Dvostruko zakrivljene povr\u0161ine od 2D ravanskih elemenata"},"content":{"rendered":"\n<p><strong>Oblast istrazivanja <\/strong><strong><\/strong><\/p>\n\n\n\n<p>Poplo\u010davanje i panelizacija dvostruko zakrivljenih povr\u0161ina u arhitekturi<\/p>\n\n\n\n<p><strong>Tema istrazivanja<\/strong><\/p>\n\n\n\n<p>Planarna \u010detvorougaona panelizacija dvostruko zakrivljene povr\u0161ine, odnos gustine mre\u017ee i ta\u010dnosti aproksimacije pomo\u0107u ravnih 2D elemenata.<\/p>\n\n\n\n<p><strong>Stanje u oblasti<\/strong><\/p>\n\n\n\n<p>Zna\u010dajni primeri uklju\u010duju geodezijske kupole Buckminstera Fullera, koje su lagane i \u010dvrste zahvaljuju\u0107i trouglastim panelima, ali zahtevaju preciznu proizvodnju i daju fragmentisan vizuelni efekat. Membranske konstrukcije Frei Otta nude elegantne i ekonomi\u010dne oblike, ali njihovi neplanarni paneli i kablovi zahtevaju slo\u017eenu izvedbu i odr\u017eavanje. Quad grid panelizacija dvostruko zakrivljenih formi omogu\u0107ava modularnu i jednostavniju proizvodnju, ali kod jakih zakrivljenja dolazi do uvrtanja panela i potrebe za gustom mre\u017eom za vernu reprezentaciju forme.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/image-1.jpeg\"><img loading=\"lazy\" decoding=\"async\" width=\"264\" height=\"186\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/image-1.jpeg\" alt=\"\" class=\"wp-image-21996\" style=\"width:243px;height:auto\" \/><\/a><\/figure>\n\n\n\n<p>Geodezijska kupola Buckminstera Fullera\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/image.jpeg\"><img loading=\"lazy\" decoding=\"async\" width=\"293\" height=\"188\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2025\/09\/image.jpeg\" alt=\"\" class=\"wp-image-21997\" style=\"width:333px;height:auto\" \/><\/a><\/figure>\n\n\n\n<p>Membranske konstrukcije Frei Otta<\/p>\n\n\n\n<p><strong>Problemi<\/strong><\/p>\n\n\n\n<p>Glavni problemi su o\u010duvanje planarnosti plo\u010dica i njihovo precizno prilago\u0111avanje formi, spre\u010davanje uvrtanja panela, odre\u0111ivanje optimalne gustine mre\u017ee za vernu reprezentaciju povr\u0161ine, te balansiranje izme\u0111u estetskog kvaliteta i racionalnosti proizvodnje.<\/p>\n\n\n\n<p><strong>Cilj<\/strong><\/p>\n\n\n\n<p>Ispitati mogu\u0107nosti poplo\u010davanja dvostruko zakrivljenih formi planarnim \u010detvorougaonim plo\u010dicama, analizirati razli\u010dite gustine mre\u017ee i proceniti koliko ta\u010dno takva panelizacija mo\u017ee da prenese \u017eeljenu formu uz \u0161to manji broj panela i bez naru\u0161avanja geometrije.<\/p>\n\n\n\n<p><strong>Hipoteza<\/strong><\/p>\n\n\n\n<p>\u0160to je ve\u0107a gustina mre\u017ee planarnim \u010detvorougaonim plo\u010dicama, to je preciznije mogu\u0107e aproksimirati dvostruko zakrivljenu povr\u0161inu, ali se istovremeno pove\u0107ava slo\u017eenost i cena izrade.<\/p>\n\n\n\n<p><strong>Kriterijumi<\/strong><\/p>\n\n\n\n<p>Svaka plo\u010dica treba da bude \u0161to bli\u017ea ravnoj formi, dok rekonstruisana mre\u017ea mora verno pratiti originalnu NURBS povr\u0161inu.<\/p>\n\n\n\n<p><strong>Metode<\/strong><\/p>\n\n\n\n<p>Primena Grasshopper + Kangaroo za postizanje planarnosti panela na modelu torusa.<\/p>\n\n\n\n<p>Anja Krstin AR 102\/2021<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Oblast istrazivanja Poplo\u010davanje i panelizacija dvostruko zakrivljenih povr\u0161ina u arhitekturi Tema istrazivanja Planarna \u010detvorougaona panelizacija dvostruko zakrivljene povr\u0161ine, odnos gustine mre\u017ee i ta\u010dnosti aproksimacije pomo\u0107u ravnih 2D elemenata. Stanje u oblasti Zna\u010dajni primeri uklju\u010duju geodezijske kupole Buckminstera Fullera, koje su lagane i \u010dvrste zahvaljuju\u0107i trouglastim panelima, ali zahtevaju preciznu proizvodnju i daju fragmentisan vizuelni efekat.&hellip; <a class=\"more-link\" href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/dvostruko-zakrivljene-povrsine-od-2d-ravanskih-elemenata\/\">Continue reading <span class=\"screen-reader-text\">Dvostruko zakrivljene povr\u0161ine od 2D ravanskih elemenata<\/span><\/a><\/p>\n","protected":false},"author":684,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"coauthors":[674],"class_list":["post-21979","post","type-post","status-publish","format-standard","hentry","category-opste","entry"],"_links":{"self":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/21979","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/users\/684"}],"replies":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/comments?post=21979"}],"version-history":[{"count":1,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/21979\/revisions"}],"predecessor-version":[{"id":22011,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/21979\/revisions\/22011"}],"wp:attachment":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/media?parent=21979"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/categories?post=21979"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/tags?post=21979"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/coauthors?post=21979"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}