{"id":6405,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/besseli\/"},"modified":"2021-02-26T08:02:15","modified_gmt":"2021-02-26T08:02:15","slug":"besseli","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/besseli\/","title":{"rendered":"BESSELI"},"content":{"rendered":"

Description de la Fonction<\/h2>\n

La fonction BESSELI<\/code> dans Excel est utilis\u00e9e pour calculer la fonction Bessel modifi\u00e9e de premi\u00e8re esp\u00e8ce In<\/sub>(x). Cette solution \u00e0 l’\u00e9quation diff\u00e9rentielle de Bessel est couramment utilis\u00e9e en ing\u00e9nierie et physique, notamment pour des applications en acoustique, m\u00e9canique et traitement du signal.<\/p>\n

Syntaxe de la fonction BESSELI<\/code> :<\/p>\n

BESSELI(x, n)<\/code><\/pre>\n
    \n
  • x<\/code> : La valeur num\u00e9rique \u00e0 laquelle la fonction Bessel modifi\u00e9e est calcul\u00e9e.<\/li>\n
  • n<\/code> : L’ordre de la fonction Bessel, un entier positif ou z\u00e9ro.<\/li>\n<\/ul>\n
    Exemples d’Utilisation<\/h2>\n
    Voici des exemples illustrant l’utilisation de la fonction BESSELI<\/code> dans Excel :<\/p>\n\n\n\n\n
    Formule<\/th>\nR\u00e9sultat<\/th>\nDescription<\/th>\n<\/tr>\n
    =BESSELI(1.5, 0)<\/code><\/td>\n1.6467<\/td>\nCalcule la fonction Bessel modifi\u00e9e d’ordre 0 pour x = 1.5.<\/td>\n<\/tr>\n
    =BESSELI(2.3, 1)<\/code><\/td>\n2.0232<\/td>\nCalcule la fonction Bessel modifi\u00e9e d’ordre 1 pour x = 2.3.<\/td>\n<\/tr>\n<\/table>\n
    Applications Pratiques<\/h2>\n
    La fonction BESSELI<\/code> offre de nombreuses applications pratiques :<\/p>\n
    Calcul des Vibrations dans une Structure Circulaire<\/h3>\n
    La fonction Bessel est utile pour mod\u00e9liser les vibrations dans une structure circulaire. Pour calculer l’amplitude des vibrations \u00e0 diff\u00e9rents points d’un mode donn\u00e9 :<\/p>\n
     =BESSELI(rayon * fr\u00e9quence, ordre_du_mode)<\/code> <\/pre>\n
    Exemple pour un rayon de 0.8 m et une fr\u00e9quence de 2 Hz pour le mode d’ordre 1 :<\/p>\n
     =BESSELI(0.8 * 2, 1)<\/code> <\/pre>\n
    Cette formule renvoie l’amplitude des vibrations pour ces conditions sp\u00e9cifi\u00e9es.<\/p>\n
    Analyse de la Diffusion Thermique dans un Cylindre<\/h3>\n
    La diffusion thermique dans un cylindre peut aussi \u00eatre \u00e9valu\u00e9e en utilisant la fonction Bessel modifi\u00e9e. Pour obtenir la distribution de la temp\u00e9rature en fonction du rayon \u00e0 un moment donn\u00e9 :<\/p>\n
     =BESSELI(rayon * sqrt(constante_de_diffusivit\u00e9_thermique * temps), 0)<\/code> <\/pre>\n
    Par exemple, avec un rayon de 0.5 m, une constante de diffusivit\u00e9 thermique de 1.2 et un temps de 10 sec, la formule devient :<\/p>\n
     =BESSELI(0.5 * sqrt(1.2 * 10), 0)<\/code> <\/pre>\n
    Cette formule calcule la distribution de temp\u00e9rature au rayon sp\u00e9cifi\u00e9 \u00e0 ce moment pr\u00e9cis.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie la fonction Bessel modifi\u00e9e In(x)<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[316],"tags":[],"class_list":["post-6405","post","type-post","status-publish","format-standard","hentry","category-ingenierie"],"acf":[],"yoast_head":"\nFonction BESSELI dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction BESSELI d\u2019Excel et Google Sheets. 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