{"id":680,"date":"2024-06-20T17:58:26","date_gmt":"2024-06-20T17:58:26","guid":{"rendered":"https:\/\/inventorics.com\/?p=680"},"modified":"2024-09-09T09:30:37","modified_gmt":"2024-09-09T09:30:37","slug":"lattice-shell","status":"publish","type":"post","link":"https:\/\/inventorics.com\/?p=680","title":{"rendered":"Cluster 1: Lattice shell"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"563\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_morph.gif\" alt=\"\" class=\"wp-image-685\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Taking advantage of the kinematic adaptability of bike frame patterns, gently curved structures can be created.<\/p>\n\n\n\n<!--more-->\n\n\n\n<p class=\"wp-block-paragraph\">This study continues the <a href=\"https:\/\/inventorics.com\/?p=643\">initial experiment<\/a> with the global deformation of lattices to form shell-like constructions.<br>The flexibility of the lattice structure not only improves the co-alignment of parts with varying geometry but also allows manipulation of the global form by maintaining the interconnected pattern organization. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1988\" height=\"986\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_flat-still-1.jpg\" alt=\"\" class=\"wp-image-688\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_flat-still-1.jpg 1988w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_flat-still-1-300x149.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_flat-still-1-1024x508.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_flat-still-1-768x381.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_flat-still-1-1536x762.jpg 1536w\" sizes=\"auto, (max-width: 1988px) 100vw, 1988px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Pattern1 &#8211; flat state<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1988\" height=\"986\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_morph-still.jpg\" alt=\"\" class=\"wp-image-686\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_morph-still.jpg 1988w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_morph-still-300x149.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_morph-still-1024x508.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_morph-still-768x381.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_00_morph-still-1536x762.jpg 1536w\" sizes=\"auto, (max-width: 1988px) 100vw, 1988px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Pattern 1 &#8211; global deformation through vertical forces applied to each frame part<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">However, in the flat state, better overall alignment can be achieved than in the deformed version (see angles in images above). This could be partially overcome by optimizing the constellation of parts whilst maintaining global curvature, but it is less likely to find a combination of parts that produces sufficient alignment.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"531\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/p1-def_0-999.gif\" alt=\"\" class=\"wp-image-689\"\/><figcaption class=\"wp-element-caption\"><em><sup>1000 combinations of parts for a deformed state <\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The best result among 1000 random tests is 8.22\u00b0, which is significantly inferior to 5.17\u00b0 in a single random test for a flat pattern as shown above.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Another approach is to use a distinct constellation of parts to affect a global deformation. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">When working with a double-layered system, smaller parts can be positioned on one layer, and larger parts on the other to produce a global curvature, which is not caused by external forces, and therefore allow for better alignment. The tests below show this effect.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2099\" height=\"575\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_2-part_crop.jpg\" alt=\"\" class=\"wp-image-690\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_2-part_crop.jpg 2099w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_2-part_crop-300x82.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_2-part_crop-1024x281.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_2-part_crop-768x210.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_2-part_crop-1536x421.jpg 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_2-part_crop-2048x561.jpg 2048w\" sizes=\"auto, (max-width: 2099px) 100vw, 2099px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Elevation of two-layered pattern, smallest part from the set at the bottom layer, the largest part on top<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1156\" height=\"545\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/smallest-largest-part_curved-1.jpg\" alt=\"\" class=\"wp-image-692\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/smallest-largest-part_curved-1.jpg 1156w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/smallest-largest-part_curved-1-300x141.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/smallest-largest-part_curved-1-1024x483.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/smallest-largest-part_curved-1-768x362.jpg 768w\" sizes=\"auto, (max-width: 1156px) 100vw, 1156px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1266\" height=\"449\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_s151_crop.jpg\" alt=\"\" class=\"wp-image-683\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_s151_crop.jpg 1266w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_s151_crop-300x106.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_s151_crop-1024x363.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_long-elevation_s151_crop-768x272.jpg 768w\" sizes=\"auto, (max-width: 1266px) 100vw, 1266px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Elevation zoom-in using the full set &#8211; smaller parts at the bottom, larger parts at the top<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1677\" height=\"954\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_s151-1.jpg\" alt=\"\" class=\"wp-image-693\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_s151-1.jpg 1677w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_s151-1-300x171.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_s151-1-1024x583.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_s151-1-768x437.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2024\/06\/pattern1_sort-def_s151-1-1536x874.jpg 1536w\" sizes=\"auto, (max-width: 1677px) 100vw, 1677px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The sample with all parts from the set used shows a gently curved global form with fair alignment angles, which are almost the same as in the single-layer sample above.<br>The double-layered system furthermore improves structural stability and is a promising development of the 2D lattice concept.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Taking advantage of the kinematic adaptability of bike frame patterns, gently curved structures can be created.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[7],"tags":[30,20,27],"class_list":["post-680","post","type-post","status-publish","format-standard","hentry","category-digital-studies","tag-aggregation","tag-bike-frames","tag-cluster-1"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/680","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=680"}],"version-history":[{"count":3,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/680\/revisions"}],"predecessor-version":[{"id":702,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/680\/revisions\/702"}],"wp:attachment":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=680"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=680"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=680"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}