{"id":2267,"date":"2019-10-16T08:33:21","date_gmt":"2019-10-16T12:33:21","guid":{"rendered":"https:\/\/sollertia.ca\/geometrie-de-membrane\/"},"modified":"2021-06-15T14:45:51","modified_gmt":"2021-06-15T18:45:51","slug":"membrane-geometry","status":"publish","type":"page","link":"https:\/\/sollertia.ca\/en\/textile-architecture\/membrane-geometry\/","title":{"rendered":"Membrane geometry"},"content":{"rendered":"\n<p>Textile structures owe their structural stability to the double-curvature geometry of the membranes. By applying this principle to any point across its surface, the membrane is tensioned in two opposing directions making the structure resistant to loading, be it wind or snow and ensures the stability of the entire structural unit. Thus, during severe weather conditions, the membrane can be left in place and noise caused by flapping is avoided. Because they\u2019re structurally stable, premature ageing through wear and tear of the membranes is prevented and the comfort of the end user is assured.<\/p>\n\n\n\n<p>Illustration of the principle of double curvature <\/p>\n\n\n\n<figure class=\"wp-block-video\"><video height=\"790\" style=\"aspect-ratio: 1430 \/ 790;\" width=\"1430\" controls src=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/inkedball-1_trim.mp4\"><\/video><figcaption><strong> <\/strong><\/figcaption><\/figure>\n\n\n\n<p><strong>Fig. 1.  A ball held by four ropes in a plane is easily deflected vertically. <\/strong><\/p>\n\n\n\n<figure class=\"wp-block-video\"><video height=\"814\" style=\"aspect-ratio: 982 \/ 814;\" width=\"982\" controls src=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/inkedrecording-5_trim.mp4\"><\/video><figcaption><strong> <\/strong><\/figcaption><\/figure>\n\n\n\n<p> <strong>Fig. 2. Lifting two opposing ropes and lowering the others leaves the ball is stabilized in all directions.  <\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns has-2-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\">\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/toile-double-3-1024x791.jpg\" alt=\"\" class=\"wp-image-2182\" width=\"315\" height=\"243\" srcset=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/toile-double-3-1024x791.jpg 1024w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/toile-double-3-300x232.jpg 300w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/toile-double-3-768x593.jpg 768w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/toile-double-3.jpg 1839w\" sizes=\"(max-width: 315px) 100vw, 315px\" \/><figcaption><strong>Hyperbolic paraboloid<\/strong><\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>This process, when applied to a membrane, creates an anticlastic (saddle-shaped) curvature, a hyperbolic paraboloid, more commonly known as the hypar.<\/p>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Anticlastic <\/strong>&#8211; the two axes are of opposing curvature<\/p>\n\n\n\n<p> <\/p>\n<\/div>\n<\/div>\n\n\n\n<p>The most common forms are the hypar, the cone and the arch. The design of most lightweight textile structures is usually based on one or a combination of these forms.<\/p>\n\n\n\n<div class=\"wp-block-columns has-2-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\">\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/08\/cone.jpg\" alt=\"\" class=\"wp-image-2306\" width=\"225\" height=\"253\" srcset=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/08\/cone.jpg 448w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/08\/cone-268x300.jpg 268w\" sizes=\"(max-width: 225px) 100vw, 225px\" \/><figcaption><strong>Cone<\/strong><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/arche-2-1024x791.jpg\" alt=\"\" class=\"wp-image-2181\" width=\"334\" height=\"258\" srcset=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/arche-2-1024x791.jpg 1024w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/arche-2-300x232.jpg 300w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/arche-2-768x593.jpg 768w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/06\/arche-2.jpg 1839w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><figcaption><strong>Arch<\/strong><\/figcaption><\/figure>\n\n\n\n<p><\/p>\n<\/div>\n<\/div>\n\n\n\n<p>Inflatable fabric structures are synclastic forms where the constant air pressure forms them into dome-shaped structures.<\/p>\n\n\n\n<div class=\"wp-block-columns has-2-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\">\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/07\/dome-2-e1563306822251.jpg\" alt=\"\" class=\"wp-image-2215\" width=\"256\" height=\"208\" srcset=\"https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/07\/dome-2-e1563306822251.jpg 1026w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/07\/dome-2-e1563306822251-300x244.jpg 300w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/07\/dome-2-e1563306822251-768x626.jpg 768w, https:\/\/sollertia.ca\/wp-content\/uploads\/2019\/07\/dome-2-e1563306822251-1024x834.jpg 1024w\" sizes=\"(max-width: 256px) 100vw, 256px\" \/><figcaption><strong>D\u00f4me<\/strong><\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Synclastic <\/strong>&#8211;  the two axes are curved in the same direction  <\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Textile structures owe their structural stability to the double-curvature geometry of the membranes. By applying this principle to any point across its surface, the membrane is tensioned in two opposing directions making the structure resistant to loading, be it wind or snow and ensures the stability of the entire structural unit. Thus, during severe weather&#8230; <a class=\"excerpt-read-more\" href=\"https:\/\/sollertia.ca\/en\/textile-architecture\/membrane-geometry\/\" title=\"ReadMembrane geometry\">&nbsp;&raquo;<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":2272,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_lmt_disableupdate":"no","_lmt_disable":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[],"class_list":["post-2267","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Textile structure and membrane geometry | Sollertia<\/title>\n<meta name=\"description\" content=\"Tensile fabric structures owe their structural stability to the double-curvature geometry of the membranes. 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