{"id":19920,"date":"2024-04-12T14:15:04","date_gmt":"2024-04-12T13:15:04","guid":{"rendered":"https:\/\/www.arhns.uns.ac.rs\/givsf\/?p=19920"},"modified":"2024-07-13T18:43:19","modified_gmt":"2024-07-13T17:43:19","slug":"ispitivanje-primene-auxetic-materijala-na-zakrivljenim-povrsima-faza-2","status":"publish","type":"post","link":"https:\/\/www.arhns.uns.ac.rs\/givsf\/ispitivanje-primene-auxetic-materijala-na-zakrivljenim-povrsima-faza-2\/","title":{"rendered":"Istra\u017eivanje auxetic materijala: Analiza transformacije bistabilnog heksagonalnog \u0161ablona, FAZA 2 &#8211; Kreiranje \u0161ablona u Grasshopper-u"},"content":{"rendered":"<h3><b>1. Uvod<\/b><\/h3>\n<p><span style=\"font-weight: 400\">U drugoj fazi istra\u017eivanja, fokus je bio na postavljanju osnovne geometrije i kreiranju bistable auxetic \u0161ablona koriste\u0107i Grasshopper, dodatak za Rhinoceros 3D. Cilj je bio da se dobije osnovni \u0161ablon (onaj koji ostaje ravan nakon \u0161irenja), kao i kasnije uvo\u0111enje atraktor ta\u010daka koje \u0107e uticati na parametre i uslo\u017enjavanje strukture.<\/span><\/p>\n<h3><b>2. Postavljanje polazne geometrije<\/b><\/h3>\n<p><span style=\"font-weight: 400\">Kreiranje \u0161ablona zapo\u010deto je postavljanjem mre\u017ee trouglova, jer je osnovna heksagonalna jedinica podeljena na trouglove. Uo\u010deno je da postoje dve vrste trouglova, zbog \u010dega su oni razvrstani u dve liste. Svaki dalji korak primenjen na jedan set trouglova, primenjen je identi\u010dno na drugi set, uz neophodno &#8220;flipovanje&#8221; krivih.<\/span><\/p>\n<p><strong><strong><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/1-dispatch-i-explode-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20977 size-large\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/1-dispatch-i-explode-1-1024x417.jpg\" alt=\"1-dispatch i explode 1\" width=\"640\" height=\"260\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/1-dispatch-i-explode-1-1024x417.jpg 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/1-dispatch-i-explode-1-300x122.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/1-dispatch-i-explode-1.jpg 1117w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/strong><\/strong><\/p>\n<h3><b>3. Kreiranje \u0161ablona<\/b><\/h3>\n<ol>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Razbijanje trouglova na linije (Explode)<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Definisanje ta\u010daka za dobijanje linija koje \u0107e obrazovati \u0161ablon (Evaluate curve):<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Po\u010detne ta\u010dke<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Krajnje ta\u010dke (<\/span><b>Ugao theta definisan je posredno preko polo\u017eaja ovih ta\u010daka!<\/b><span style=\"font-weight: 400\">)<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Razvrstavanje dobijenih ta\u010daka (List Item):<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Dobijene ta\u010dke su razvrstane u po tri odgovaraju\u0107e liste: tri liste po\u010detnih ta\u010daka i tri liste krajnjih ta\u010daka, u odnosu na to na kojoj stranici trougla se nalaze.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/2-evaluatecrv-i-list-item.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20978 size-large\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/2-evaluatecrv-i-list-item-1024x381.jpg\" alt=\"2-evaluatecrv i list item\" width=\"640\" height=\"238\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/2-evaluatecrv-i-list-item-1024x381.jpg 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/2-evaluatecrv-i-list-item-300x111.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/2-evaluatecrv-i-list-item.jpg 1207w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/p>\n<p>4. Povezivanje odgovaraju\u0107ih lista (Line):<\/p>\n<ol>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Treba voditi ra\u010duna o tome koju ta\u010dku sa kojom treba povezati; dobijena su tri seta potrebnih linija koje obrazuju \u0161ablon.<\/span><\/li>\n<\/ul>\n<\/ol>\n<p><strong><strong><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/3-base-line-definise-t-i-theta.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20979 size-large\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/3-base-line-definise-t-i-theta-1024x380.jpg\" alt=\"3-base line-definise t i theta\" width=\"640\" height=\"237\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/3-base-line-definise-t-i-theta-1024x380.jpg 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/3-base-line-definise-t-i-theta-300x111.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/3-base-line-definise-t-i-theta.jpg 1207w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/strong><\/strong><\/p>\n<p>5.\u00a0Skra\u0107ivanje linija:<\/p>\n<ol>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Bilo je potrebno skratiti linije tako da se me\u0111usobno ne presecaju, formiraju\u0107i mali zglob oko kojeg \u0107e se rotirati mali trougao.<\/span><\/li>\n<\/ul>\n<\/ol>\n<p><strong><strong><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/4-ccx-i-shatter.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20980 size-large\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/4-ccx-i-shatter-1024x377.jpg\" alt=\"4- ccx i shatter\" width=\"640\" height=\"235\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/4-ccx-i-shatter-1024x377.jpg 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/4-ccx-i-shatter-300x110.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/4-ccx-i-shatter.jpg 1217w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/strong><\/strong><\/p>\n<p><span style=\"font-weight: 400\">Ovi koraci su primenjeni i na drugi set trouglova na odgovaraju\u0107i na\u010din.<\/span><\/p>\n<p><strong><strong><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/5-drugi-set-linija.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20981 size-large\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/5-drugi-set-linija-1024x386.jpg\" alt=\"5-drugi set linija\" width=\"640\" height=\"241\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/5-drugi-set-linija-1024x386.jpg 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/5-drugi-set-linija-300x113.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/5-drugi-set-linija.jpg 1184w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/strong><\/strong><\/p>\n<p><span style=\"font-weight: 400\">Razli\u010dite varijacije \u0161ablona:<\/span><\/p>\n<p><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/parametri_varijacije-sablona_0.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-20982 size-large\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/parametri_varijacije-sablona_0-1024x396.jpg\" alt=\"parametri_varijacije sablona_0\" width=\"640\" height=\"247\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/parametri_varijacije-sablona_0-1024x396.jpg 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/parametri_varijacije-sablona_0-300x116.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/parametri_varijacije-sablona_0.jpg 1655w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/p>\n<h3><b>4. Uvo\u0111enje Atraktor Ta\u010daka<\/b><\/h3>\n<ol>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Definisanje atraktor ta\u010daka<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Remapiranje rastojanja atraktor ta\u010daka do sredina stranica trouglova u vrednosti parametara t i theta<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Uskla\u0111ivanje ivica:<\/span>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Kori\u0161\u0107ena je alatka &#8220;Closest Point&#8221;, kako bi remapirane vrednosti mogle da se uvrste tako da se ivice \u0161ablona spajaju u odgovaraju\u0107im ta\u010dkama<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p><strong><strong><a href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/closest-point-resenje.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-20983\" src=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/closest-point-resenje-1024x387.jpg\" alt=\"closest point resenje\" width=\"640\" height=\"241\" srcset=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/closest-point-resenje-1024x387.jpg 1024w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/closest-point-resenje-300x113.jpg 300w, https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-content\/uploads\/2024\/04\/closest-point-resenje.jpg 1220w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/strong><\/strong><\/p>\n<p>&nbsp;<\/p>\n<h3><b>5. Zaklju\u010dak<\/b><\/h3>\n<p><span style=\"font-weight: 400\">Na kraju ove faze istra\u017eivanja dobijeno je zadovoljavaju\u0107e re\u0161enje. Kod je bio spreman za testiranje i mogao se koristiti za \u0161tampanje \u0161ablona koji \u0107e kasnije biti se\u010deni od papira.<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Uvod U drugoj fazi istra\u017eivanja, fokus je bio na postavljanju osnovne geometrije i kreiranju bistable auxetic \u0161ablona koriste\u0107i Grasshopper, dodatak za Rhinoceros 3D. Cilj je bio da se dobije osnovni \u0161ablon (onaj koji ostaje ravan nakon \u0161irenja), kao i kasnije uvo\u0111enje atraktor ta\u010daka koje \u0107e uticati na parametre i uslo\u017enjavanje strukture. 2. Postavljanje polazne&hellip; <a class=\"more-link\" href=\"https:\/\/www.arhns.uns.ac.rs\/givsf\/ispitivanje-primene-auxetic-materijala-na-zakrivljenim-povrsima-faza-2\/\">Continue reading <span class=\"screen-reader-text\">Istra\u017eivanje auxetic materijala: Analiza transformacije bistabilnog heksagonalnog \u0161ablona, FAZA 2 &#8211; Kreiranje \u0161ablona u Grasshopper-u<\/span><\/a><\/p>\n","protected":false},"author":611,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[608,1],"tags":[],"coauthors":[591],"class_list":["post-19920","post","type-post","status-publish","format-standard","hentry","category-2324-radovi","category-opste","entry"],"_links":{"self":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/19920","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\/611"}],"replies":[{"embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/comments?post=19920"}],"version-history":[{"count":4,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/19920\/revisions"}],"predecessor-version":[{"id":20985,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/posts\/19920\/revisions\/20985"}],"wp:attachment":[{"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/media?parent=19920"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/categories?post=19920"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/tags?post=19920"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.arhns.uns.ac.rs\/givsf\/wp-json\/wp\/v2\/coauthors?post=19920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}