{"id":1234,"date":"2021-06-29T09:43:56","date_gmt":"2021-06-29T13:43:56","guid":{"rendered":"https:\/\/research.gsd.harvard.edu\/maps\/2021\/06\/29\/kiriform-deployable-flexures\/"},"modified":"2025-02-21T13:18:23","modified_gmt":"2025-02-21T18:18:23","slug":"kiriform-deployable-flexures","status":"publish","type":"post","link":"https:\/\/research.gsd.harvard.edu\/maps\/2021\/06\/29\/kiriform-deployable-flexures\/","title":{"rendered":"Kiriform: Deployable Flexures"},"content":{"rendered":"\n<p><a href=\"https:\/\/research.gsd.harvard.edu\/maps\/research\/\" data-type=\"page\" data-id=\"2\">Research<\/a><\/p>\n\n\n\n<h1 class=\"wp-block-heading\">Kiriform: Deployable Flexures<\/h1>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-vimeo wp-block-embed-vimeo wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Kiriform (MaP+S Group, Harvard GSD + Bertoldi Group, Harvard SEAS)\" src=\"https:\/\/player.vimeo.com\/video\/559087439?dnt=1&amp;app_id=122963\" width=\"500\" height=\"281\" frameborder=\"0\" allow=\"autoplay; fullscreen; picture-in-picture; clipboard-write; encrypted-media\"><\/iframe>\n<\/div><\/figure>\n\n\n\n<p>Kiriform allows for axisymmetric sheet assemblies to transform from 2D to 3D shapes through a carefully engineered buckling of curvilinear struts or fins.&nbsp;Several layers of shaped fins are connected such that the rotation of one set of fins (normally created from a single sheet) relative to its neighboring set of fins makes both sets buckle in a controlled and repeatable manner such that spherical or near-spherical shapes result .&nbsp;Each set of fins can be created from a single sheet thus allowing for inexpensive fabrication.&nbsp;There are only minimal hardware or weld connections between the sheets, and the main underlying the mechanism scale from the millimeter to the meter scale and beyond.Kiriform has the potential for a wide range of applications in need of dynamic and deployable adaptive systems that are fully flat in one condition.<\/p>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;69e3533c65088&quot;}\" data-wp-interactive=\"core\/image\" class=\"wp-block-image size-full wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"547\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on-async--click=\"actions.showLightbox\" data-wp-on-async--load=\"callbacks.setButtonStyles\" data-wp-on-async-window--resize=\"callbacks.setButtonStyles\" src=\"https:\/\/research.gsd.harvard.edu\/maps\/files\/2024\/11\/KiriApp-1024x547-1.png\" alt=\"Picture showing the design process\" class=\"wp-image-1232\" srcset=\"https:\/\/research.gsd.harvard.edu\/maps\/files\/2024\/11\/KiriApp-1024x547-1.png 1024w, https:\/\/research.gsd.harvard.edu\/maps\/files\/2024\/11\/KiriApp-1024x547-1-300x160.png 300w, https:\/\/research.gsd.harvard.edu\/maps\/files\/2024\/11\/KiriApp-1024x547-1-768x410.png 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\taria-label=\"Enlarge\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on-async--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.imageButtonRight\"\n\t\t\tdata-wp-style--top=\"state.imageButtonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>Publication:&nbsp;<\/strong><\/p>\n\n\n\n<p><em>Mhatre S, Boatti E, Melancon D, Zareei A, Dupont M, Bechthold M, Bertoldi K.,&nbsp;<a href=\"https:\/\/bertoldi.seas.harvard.edu\/publications\/deployable-structures-based-buckling-curved-beams-upon-rotational-input\">Deployable Structures Based on Buckling of Curved Beams Upon a Rotational Input.<\/a>&nbsp;Advanced Functional Materials.&nbsp;2021:2101144.<\/em><\/p>\n\n\n\n<p><strong>Patent:<\/strong><\/p>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;69e3533c65894&quot;}\" data-wp-interactive=\"core\/image\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"655\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on-async--click=\"actions.showLightbox\" data-wp-on-async--load=\"callbacks.setButtonStyles\" data-wp-on-async-window--resize=\"callbacks.setButtonStyles\" src=\"https:\/\/research.gsd.harvard.edu\/maps\/files\/2024\/11\/Artboard-3-100-1024x655.jpg\" alt=\"Picture of the patent\" class=\"wp-image-1233\" srcset=\"https:\/\/research.gsd.harvard.edu\/maps\/files\/2024\/11\/Artboard-3-100-1024x655.jpg 1024w, https:\/\/research.gsd.harvard.edu\/maps\/files\/2024\/11\/Artboard-3-100-300x192.jpg 300w, https:\/\/research.gsd.harvard.edu\/maps\/files\/2024\/11\/Artboard-3-100-768x491.jpg 768w, https:\/\/research.gsd.harvard.edu\/maps\/files\/2024\/11\/Artboard-3-100.jpg 1268w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\taria-label=\"Enlarge\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on-async--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.imageButtonRight\"\n\t\t\tdata-wp-style--top=\"state.imageButtonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n\n\n\n<p><a href=\"https:\/\/patentscope.wipo.int\/search\/en\/detail.jsf?docId=US300128531\">Mhatre, S., Bechthold, M., &amp; Sayegh, A. \u201d&nbsp;<em>Deployable Kiriform Flexures<\/em>&nbsp;\u201c.&nbsp;Patent No.&nbsp;US20200231430, 2020<\/a><\/p>\n\n\n\n<p><strong>Attribution<\/strong>:<\/p>\n\n\n\n<p>MaP+S Group :&nbsp;Saurabh Mhatre, Martin Bechthold.<\/p>\n\n\n\n<p>Harvard GSD :&nbsp;Olga Mesa, Milena Stavric, Kelly Hess, Zach Seibold,&nbsp; Jonathan Grinham, Allen Sayegh,&nbsp;<\/p>\n\n\n\n<p>Bertoldi Group (Harvard SEAS):&nbsp;Elisa Boatti, David Melancon, Maxime Dupont, Ahmad Zareei, Katia Bertoldi.<\/p>\n\n\n\n<p>Harvard&nbsp;Micro Robotics&nbsp;Group (Harvard SEAS):&nbsp;&nbsp;Daniel Vogt , Ruth Pena Velasco, Rob Wood.<\/p>\n\n\n\n<p><strong>Media Coverage:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.seas.harvard.edu\/news\/2021\/06\/pop-coffee-table-no-assembly-required\">Harvard SEAS News<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.advancedsciencenews.com\/pop-up-coffee-table-no-assembly-required\/\">Advanced Science News&nbsp;<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/techxplore.com\/news\/2021-06-kiriform-harness-buckling-stable-deployable.html\">TechExplore<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.eurekalert.org\/pub_releases\/2021-06\/hjap-pct062821.php\">EurekAlert<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/newatlas.com\/good-thinking\/kiriform-buckling-shape-shifting\/\">New Atlas<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.eurekamagazine.co.uk\/design-engineering-news\/deployable-structures-harness-curved-beams\/238446\/\">Eureka Magazine<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/archinect.com\/news\/article\/150271649\/harvard-researchers-develop-deployable-structures-made-from-a-simple-rotational-motion\">archivect<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.sciencedaily.com\/releases\/2021\/06\/210628170607.htm\">Science Daily<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/mashable.com\/video\/harvard-deployable-structures-curved-beams\">mashable<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/nerdist.com\/article\/flat-objects-rotate-into-3d-furniture-kiriform\/\">nerdist<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/designtaxi.com\/news\/415736\/Watch-These-Unassuming-Flat-Objects-Transform-Into-Full-Furniture-Truly-Flatpack\/\">Taxi Design<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/technews-tw.translate.goog\/2021\/12\/08\/harvard-kiriform\/?_x_tr_sl=zh-TW&amp;_x_tr_tl=en&amp;_x_tr_hl=en&amp;_x_tr_pto=sc\">Tech News (Taiwan)<\/a><\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Kiriform allows for axisymmetric sheet assemblies to transform from 2D to 3D shapes through a carefully engineered buckling of curvilinear struts or fins.<\/p>\n","protected":false},"author":6,"featured_media":1236,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[9],"tags":[40],"class_list":["post-1234","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-portfolio","tag-adaptive-systems"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kiriform: Deployable Flexures - MaP+S Group<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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