{"id":4606,"date":"2026-08-12T14:47:10","date_gmt":"2026-08-12T12:47:10","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&#038;p=4606"},"modified":"2026-11-09T14:48:10","modified_gmt":"2026-11-09T13:48:10","slug":"belastung-festigkeit","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/de\/guide-dutilisateur\/contrainte-resistance\/","title":{"rendered":"Stress-Resistenz-Methode: Einsch\u00e4tzung eines Risikos"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Ein Produkt versagt, wenn die&nbsp;<strong>Zwang<\/strong>&nbsp;das, was er erleidet, \u00fcbersteigt seine&nbsp;<strong>Widerstand<\/strong>. Da beide Verteilungen unabh\u00e4ngig voneinander sind, entspricht die Ausfallwahrscheinlichkeit der \u00dcberlappungswahrscheinlichkeit der beiden Verteilungen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Auf dieser Seite wird dieser Satz anhand der beiden Gesetze gesch\u00e4tzt. Diese k\u00f6nnen durch\u00a0<strong>theoretische Verteilungen<\/strong>\u00a0oder durch\u00a0<strong>Experimentaldaten<\/strong>. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nehmen wir zum Beispiel ein Produkt an, f\u00fcr das die Ausfallverteilung berechnet wurde: Weibull,\u00a0<strong>\u03b2<\/strong>(beta) = 1 und\u00a0<strong>\u03b7\u00a0<\/strong>(\u00eata) = 15.000 Zyklen. Es wird davon ausgegangen, dass der Nutzer mit der h\u00f6chsten Beanspruchung das Produkt \u00fcber 30.000 Zyklen hinweg nutzt, der Nutzer mit der geringsten Beanspruchung \u00fcber 200 Zyklen und die durchschnittliche Nutzung zwischen 500 und 2.000 Zyklen liegt, was durch ein Trapez modelliert wird. Anschlie\u00dfend wird die Ausfallrate berechnet. Die gesch\u00e4tzte Ausfallrate betr\u00e4gt 11%<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"964\" height=\"490\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/fiabilite7.png\" alt=\"\" class=\"wp-image-4607\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/fiabilite7.png 964w, https:\/\/ellistat.com\/wp-content\/uploads\/fiabilite7-300x152.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/fiabilite7-768x390.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/fiabilite7-18x9.png 18w\" sizes=\"auto, (max-width: 964px) 100vw, 964px\" \/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\ud83d\udca1 Das ist das Werkzeug f\u00fcr die Dimensionierung in der Entwurfsphase, wenn noch keine R\u00fcckmeldungen vorliegen. Es zeigt zudem etwas, das zun\u00e4chst nicht intuitiv erscheint:&nbsp;<strong>Es ist eher die Streuung als der Mittelwert, die das Versagen bestimmt<\/strong>. Eine Erh\u00f6hung des Durchschnittswerts von 20 % tr\u00e4gt weniger zur Verbesserung bei als eine Halbierung seiner Streuung, da sich die Enden der Verteilung \u00fcberlappen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u26a0\ufe0f Das Ergebnis h\u00e4ngt vollst\u00e4ndig von den Endbereichen der beiden Verteilungen ab, also genau dort, wo die Daten am sp\u00e4rlichsten sind und wo die Wahl der Verteilung den gr\u00f6\u00dften Einfluss hat. Ein auf nicht \u00fcberpr\u00fcften Verteilungsannahmen berechneter Wert ist eine Gr\u00f6\u00dfenordnung, keine konkrete Zahl.<\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>","protected":false},"featured_media":0,"menu_order":40,"template":"","meta":{"_acf_changed":true},"menu-guide-dutilisateur":[36],"class_list":["post-4606","guide-dutilisateur","type-guide-dutilisateur","status-publish","hentry","menu-guide-dutilisateur-10-fiabilite"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>M\u00e9thode Contrainte-r\u00e9sistance : estimer un risque - Ellistat<\/title>\n<meta name=\"description\" content=\"Estimer la probabilit\u00e9 de d\u00e9faillance en confrontant la distribution des contraintes et celle des r\u00e9sistances.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ellistat.com\/de\/benutzerhandbuch\/belastung-festigkeit\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"M\u00e9thode Contrainte-r\u00e9sistance : estimer un risque - 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