{"id":222,"date":"2019-06-15T18:42:02","date_gmt":"2019-06-15T17:42:02","guid":{"rendered":"http:\/\/excelop.net\/exo\/?p=222"},"modified":"2020-02-27T23:10:42","modified_gmt":"2020-02-27T22:10:42","slug":"etude-de-cas-analyse-de-capabilite","status":"publish","type":"post","link":"https:\/\/excelop.net\/exo\/etude-de-cas-analyse-de-capabilite\/","title":{"rendered":"Etude de cas analyse de capabilit\u00e9"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Un fabricant de moteurs utilise un proc\u00e9d\u00e9 de forgeage pour fabriquer des segments de pistons. Les ing\u00e9nieurs qualit\u00e9 veulent \u00e9valuer la capabilit\u00e9 du proc\u00e9d\u00e9. Ils collectent 25&nbsp;sous-groupes de cinq segments de pistons et en mesurent le diam\u00e8tre. Les limites de sp\u00e9cification pour le diam\u00e8tre d&#8217;un segment sont 74,0&nbsp;mm&nbsp;\u00b1 0,05&nbsp;mm.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Les ing\u00e9nieurs effectuent une analyse de capabilit\u00e9 normale afin d&#8217;\u00e9valuer le diam\u00e8tre des segments par rapports aux limites de sp\u00e9cification.<\/p>\n\n\n\n<p class=\"has-large-font-size wp-block-paragraph\"><strong>I- Analyse de capabilit\u00e9<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Apr\u00e8s analyse de capabilit\u00e9 l\u2019ing\u00e9nieur a repr\u00e9sent\u00e9 les r\u00e9sultats dans le graphe suivant<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-1-1024x768.png\" alt=\"\" class=\"wp-image-224\" srcset=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-1-1024x768.png 1024w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-1-300x225.png 300w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-1-768x576.png 768w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-1.png 1200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"has-large-font-size wp-block-paragraph\"><strong>II- ANALYSE DE VARIANCE<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nous utilisons pour le fraisage de nos  segments de pistons, nous utilisons trois types d&#8217;Inox, nous voudrons savoir si les trois types produisent le m\u00eame  segment de piston.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pour se faire nous avons utilis\u00e9 un  \u00e9chantillon de 10 mesures pour   chaque  acier.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">et nous avons obtenu les r\u00e9sultats suivants     <\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"\"><tbody><tr><td>Groupes<\/td><td>Nombre d&#8217;\u00e9chantillons<\/td><td>Somme<\/td><td>Moyenne<\/td><td>Variance<\/td><\/tr><tr><td>Acier\n  Inox 1<\/td><td>10<\/td><td>740,054<\/td><td>74,0054<\/td><td>0,0001476<\/td><\/tr><tr><td>Acier\n  Inox 2<\/td><td>10<\/td><td>740,055<\/td><td>74,0055<\/td><td>0,000140278<\/td><\/tr><tr><td>Acier\n  Inox 3<\/td><td>10<\/td><td>739,995<\/td><td>73,9995<\/td><td>0,000116944<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"blob:http:\/\/excelop.net\/c2e7d27f-daa1-4404-9d92-25a27075cd10\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"\"><tbody><tr><td>Source\n  des variations<\/td><td>Somme des carr\u00e9s<\/td><td>Degr\u00e9 de libert\u00e9<\/td><td>Moyenne des carr\u00e9s<\/td><td>F<\/td><td>Probabilit\u00e9<\/td><td>Valeur critique pour F<\/td><\/tr><tr><td>Entre\n  Groupes<\/td><td>0,000236<\/td><td>2<\/td><td>0,000118033<\/td><td>0,874704946<\/td><td>0,42846978<\/td><td>3,35413083<\/td><\/tr><tr><td>A\n  l&#8217;int\u00e9rieur des groupes<\/td><td>0,003643<\/td><td>27<\/td><td>0,000134941<\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td>Total<\/td><td>0,003879<\/td><td>29<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-large-font-size wp-block-paragraph\">III-ANALYSE DE R\u00c9GRESSION LIN\u00c9AIRE<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Apr\u00e8s la phase de mesure et d&#8217;analyse on a constat\u00e9 ce qui influence plus la variabilit\u00e9 du diam\u00e8tre est l&#8217;avanc\u00e9es de la pi\u00e8ce. On a \u00e9tudi\u00e9 cette cause et nous  avons \u00e9labor\u00e9 le sch\u00e9ma ci-dessous:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"720\" height=\"480\" src=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-3.png\" alt=\"\" class=\"wp-image-234\" srcset=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-3.png 720w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-3-300x200.png 300w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-3-272x182.png 272w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><figcaption><br><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"> Analyse de r\u00e9gression : diam\u00e8tre en fonction de l&#8217;avanc\u00e9e de la pi\u00e8ce<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L&#8217;\u00e9quation de r\u00e9gression est<br><strong>diam\u00e8tre = 74,07 + 0,000109 lavanc\u00e9e de la pi\u00e8ce<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>R\u00e9capitulatif du mod\u00e8le<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"\"><tbody><tr><td>S<\/td><td>R carr\u00e9<\/td><td>R carr\u00e9<br>(ajust)<\/td><\/tr><tr><td>0,0012585<\/td><td>82,09%<\/td><td>79,53%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Analyse de variance<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"\"><tbody><tr><td>Source<\/td><td>DL<\/td><td>Somme des<br>carr\u00e9s<\/td><td>CM<\/td><td>F<\/td><td>P<\/td><\/tr><tr><td>R\u00e9gression<\/td><td>1<\/td><td>0,0000508<\/td><td>0,0000508<\/td><td>32,08<\/td><td>0,001<\/td><\/tr><tr><td>Erreur<\/td><td>7<\/td><td>0,0000111<\/td><td>0,0000016<\/td><td>&nbsp; <\/td><td>&nbsp; <\/td><\/tr><tr><td>Total<\/td><td>8<\/td><td>0,0000619<\/td><td>&nbsp; <\/td><td>&nbsp; <\/td><td>&nbsp; <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Droite d&#8217;ajustement : diam\u00e8tre en fonction de l&#8217;avanc\u00e9e de la pi\u00e8ce <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"has-large-font-size wp-block-paragraph\"><strong>IV- Plan d&#8217;Exp\u00e9rience <\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Notre derni\u00e8re \u00e9tape est d\u2019\u00e9laborer un plan d\u2019exp\u00e9rience,  donc on a proc\u00e9d\u00e9 \u00e0 une suite  d&#8217;essais d&#8217;une exp\u00e9rimentation, pour en acqu\u00e9rir de nouvelles connaissances en ma\u00eetrisant un ou plusieurs param\u00e8tres d&#8217;entr\u00e9e pour obtenir des r\u00e9sultats validant un mod\u00e8le avec une bonne \u00e9conomie .<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ci-dessous le r\u00e9sum\u00e9 du plan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> Plan factoriel complet <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R\u00e9capitulatif du plan<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"\"><tbody><tr><td>Facteurs :<\/td><td>3<\/td><td>Plan de base :<\/td><td>3; 8<\/td><\/tr><tr><td>Essais :<\/td><td>8<\/td><td>R\u00e9pliques :<\/td><td>1<\/td><\/tr><tr><td>Blocs :<\/td><td>1<\/td><td>Points centraux (total) :<\/td><td>0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Tous les termes sont exempts d&#8217;alias. <\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"720\" height=\"480\" src=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-4.png\" alt=\"\" class=\"wp-image-237\" srcset=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-4.png 720w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-4-300x200.png 300w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-4-272x182.png 272w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><figcaption><br><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"> <\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"720\" height=\"480\" src=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-5.png\" alt=\"\" class=\"wp-image-239\" srcset=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-5.png 720w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-5-300x200.png 300w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-5-272x182.png 272w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"720\" height=\"480\" src=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-6.png\" alt=\"\" class=\"wp-image-240\" srcset=\"https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-6.png 720w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-6-300x200.png 300w, https:\/\/excelop.net\/exo\/wp-content\/uploads\/2019\/06\/image-6-272x182.png 272w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Un fabricant de moteurs utilise un proc\u00e9d\u00e9 de forgeage pour fabriquer des segments de pistons. Les ing\u00e9nieurs qualit\u00e9 veulent \u00e9valuer la capabilit\u00e9 du proc\u00e9d\u00e9. Ils collectent 25&nbsp;sous-groupes de cinq segments de pistons et en mesurent le diam\u00e8tre. Les limites de sp\u00e9cification pour le diam\u00e8tre d&#8217;un segment sont 74,0&nbsp;mm&nbsp;\u00b1 0,05&nbsp;mm. Les ing\u00e9nieurs effectuent une analyse de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-222","post","type-post","status-publish","format-standard","hentry","category-non-classe"],"_links":{"self":[{"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/posts\/222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/comments?post=222"}],"version-history":[{"count":8,"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/posts\/222\/revisions"}],"predecessor-version":[{"id":440,"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/posts\/222\/revisions\/440"}],"wp:attachment":[{"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/media?parent=222"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/categories?post=222"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/excelop.net\/exo\/wp-json\/wp\/v2\/tags?post=222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}