{"id":2474,"date":"2024-07-18T16:57:51","date_gmt":"2024-07-18T14:57:51","guid":{"rendered":"https:\/\/jureknawrocki.com\/?p=2474"},"modified":"2026-03-14T08:07:13","modified_gmt":"2026-03-14T07:07:13","slug":"karmans-vortices-albo-wiry-karmana","status":"publish","type":"post","link":"https:\/\/jureknawrocki.com\/en\/karmans-vortices-albo-wiry-karmana\/","title":{"rendered":"Karman\u2019s vortices"},"content":{"rendered":"<p class=\"has-small-font-size\">On the largest petrochemical construction site in Europe \u2013 Olefiny III on the premises of PKN Orlen, a newly erected column of about 80 m height had to be dismantled almost immediately. Design and execution somewhere in Asia. <a href=\"https:\/\/portalplock.pl\/wiadomosci\/problemy-na-budowie-olefin-jedna-z-kolumn-zdemontowana-czesc-placu-budowy-zamknieta\/DdbCeM1LEVTMKAe5ZEQ6\">Artyku\u0142 jest tutaj<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"763\" height=\"424\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-4.webp\" alt=\"\" class=\"wp-image-2479\" style=\"width:623px;height:auto\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-4.webp 763w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-4-480x267.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 763px, 100vw\" \/><\/figure>\n\n\n\n<p class=\"has-small-font-size\">I thought I would do a simulation showing how a column behaves in a wind of 25 m\/s - 90 km\/h. Of course, I did not know the exact construction of the column, but it is about the principle and showing that it is possible. The result of the total deformation during 10 seconds of the simulation is shown in the graph below. From this graph, it can be estimated that the column was swinging with an average frequency of about 0.6 Hz. There are two videos of the simulation under these links: <a href=\"https:\/\/drive.google.com\/file\/d\/1s0cpuLbniuHyTJmWCWa3-US9Q0NSmDm7\/view?usp=drive_link\">https:\/\/drive.google.com\/file\/d\/1s0cpuLbniuHyTJmWCWa3-US9Q0NSmDm7\/view?usp=drive_link<\/a> i <a href=\"https:\/\/drive.google.com\/file\/d\/1Nn5imJvNfpjzF_n8ZQs2kZFnc1a50PeJ\/view?usp=drive_link\">https:\/\/drive.google.com\/file\/d\/1Nn5imJvNfpjzF_n8ZQs2kZFnc1a50PeJ\/view?usp=drive_link<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"794\" height=\"445\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-1.webp\" alt=\"\" class=\"wp-image-2471\" style=\"width:823px;height:auto\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-1.webp 794w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-1-480x269.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 794px, 100vw\" \/><\/figure>\n\n\n\n<p class=\"has-small-font-size\">Here is the speed of the wind around the column. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"515\" height=\"559\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-2.webp\" alt=\"\" class=\"wp-image-2475\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-2.webp 515w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-2-480x521.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 515px, 100vw\" \/><\/figure>\n\n\n\n<p class=\"has-small-font-size\">The natural frequencies of the column for the first six deformation modes ranged from 0.5 Hz to 13 Hz. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"336\" src=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-3-1024x336.webp\" alt=\"\" class=\"wp-image-2476\" srcset=\"https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-3-980x322.webp 980w, https:\/\/jureknawrocki.com\/wp-content\/uploads\/Wiry-Karmana-3-480x157.webp 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>","protected":false},"excerpt":{"rendered":"<p>Na najwi\u0119kszej budowie petrochemicznej w Europie &#8211; Olefiny III na terenie PKN Orlen musiano zdemontowa\u0107 prawie natychmiast dopiero co postawn\u0105 kolumn\u0119 o wysoko\u015bci oko\u0142o 80m. Projekt i wykonanie gdzie\u015b w Azji. Artyku\u0142 jest tutaj. Pomy\u015bla\u0142em sobie, \u017ce zrobi\u0119 symulacj\u0119 pokazuj\u0105c\u0105 jak zachowuje si\u0119 kolumna w wietrze o pr\u0119dko\u015bci 25 m\/s &#8211; 90 km\/h. Oczywi\u015bcie dok\u0142adnej [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":2518,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"off","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[123,15],"tags":[32,16],"class_list":["post-2474","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-obliczenia-wytrzymalosciowe-rur-i-aparatow","category-projekty","tag-mes","tag-naprezenia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Karman&#039;s vortices albo wiry Karmana - Jerzy Nawrocki<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jureknawrocki.com\/en\/karmans-vortices-albo-wiry-karmana\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Karman&#039;s vortices albo wiry Karmana - Jerzy Nawrocki\" \/>\n<meta property=\"og:description\" content=\"Na najwi\u0119kszej budowie petrochemicznej w Europie &#8211; Olefiny III na terenie PKN Orlen musiano zdemontowa\u0107 prawie natychmiast dopiero co postawn\u0105 kolumn\u0119 o wysoko\u015bci oko\u0142o 80m. Projekt i wykonanie gdzie\u015b w Azji. Artyku\u0142 jest tutaj. Pomy\u015bla\u0142em sobie, \u017ce zrobi\u0119 symulacj\u0119 pokazuj\u0105c\u0105 jak zachowuje si\u0119 kolumna w wietrze o pr\u0119dko\u015bci 25 m\/s &#8211; 90 km\/h. 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