{"id":6400,"date":"2021-08-30T15:22:26","date_gmt":"2021-08-30T14:22:26","guid":{"rendered":"http:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/?p=6400"},"modified":"2025-04-02T14:08:34","modified_gmt":"2025-04-02T13:08:34","slug":"mecanique-generale","status":"publish","type":"post","link":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/?p=6400","title":{"rendered":"M\u00e9canique g\u00e9n\u00e9rale"},"content":{"rendered":"\n

UE obligatoire du S5 de 4 ECTS : 22 h de cours, 22 h de td <\/em><\/p>\n\n\n\n

Enseignants<\/strong><\/p>\n\n\n\n

Cours                  Fr\u00e9d\u00e9ric Moisy<\/a>
TD Groupe A    Fr\u00e9d\u00e9ric Moisy<\/a>
TD Groupe B    Basile Dhote<\/a>
TD Groupe C   Fran\u00e7ois Glotin<\/a>
TD Groupe D   St\u00e9phanie Pellerin<\/a><\/p>\n\n\n\n

Pr\u00e9requis<\/strong><\/p>\n\n\n\n

– Principe fondamental de la dynamique, notamment en coordonn\u00e9es polaires
– Travail des forces, th\u00e9or\u00e8me de l’\u00e9nergie cin\u00e9tique
– Th\u00e9or\u00e8me du moment cin\u00e9tique pour une masse ponctuelle
– Math\u00e9matiques : ma\u00eetrise des projections de vecteur, et \u00e9quations diff\u00e9rentielles du premier et second ordre \u00e0 coefficients constants.<\/p>\n\n\n\n

Programme<\/strong><\/p>\n\n\n\n

i) Rappels sur les th\u00e9or\u00e8mes g\u00e9n\u00e9raux de la m\u00e9canique pour les syst\u00e8mes de points mat\u00e9riels (lois de conservation, th\u00e9or\u00e8mes de Koenig)

ii)\u00a0 Dynamique du solide ind\u00e9formable pour des mouvements plans (centre instantan\u00e9 de rotation, roulement sans glissement, moment d\u2019inertie, th\u00e9or\u00e8me de Huygens)

iii) M\u00e9canique Lagrangienne (introduction au principe variationnel, principe de Hamilton, \u00e9quations de liaison et contraintes)

iv) Oscillations coupl\u00e9es (fr\u00e9quences propres et modes normaux)

v) Dynamique du solide ind\u00e9formable pour des mouvements 3D (tenseur d\u2019inertie, approximation gyroscopique, angles d\u2019Euler, \u00e9quations d\u2019Euler, mouvement de Poinsot)

vi) Introduction \u00e0 la m\u00e9canique hamiltonienne<\/p>\n\n\n\n

Ouvrages conseill\u00e9s<\/strong><\/p>\n\n\n\n

\u00a0– M\u00e9canique classique, John R. Taylor, Edition de Boeck
\u00a0– M\u00e9canique – Fondements et applications, J.P. P\u00e9rez et O. Pujol, Edition Dunod <\/p>\n\n\n\n

Documents \u2013 Annales<\/strong> : sur eCampus<\/p>\n","protected":false},"excerpt":{"rendered":"

UE obligatoire du S5 de 4 ECTS : 22 h de cours, 22 h de td Enseignants Cours                  Fr\u00e9d\u00e9ric MoisyTD Groupe A    Fr\u00e9d\u00e9ric MoisyTD Groupe B    Basile DhoteTD Groupe C   Fran\u00e7ois GlotinTD Groupe D   St\u00e9phanie Pellerin Pr\u00e9requis – Principe fondamental de la dynamique, notamment en coordonn\u00e9es polaires– Travail des forces, th\u00e9or\u00e8me de l’\u00e9nergie cin\u00e9tique– Th\u00e9or\u00e8me … Continuer la lecture de M\u00e9canique g\u00e9n\u00e9rale<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-6400","post","type-post","status-publish","format-standard","hentry","category-non-classe"],"_links":{"self":[{"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=\/wp\/v2\/posts\/6400","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6400"}],"version-history":[{"count":6,"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=\/wp\/v2\/posts\/6400\/revisions"}],"predecessor-version":[{"id":7081,"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=\/wp\/v2\/posts\/6400\/revisions\/7081"}],"wp:attachment":[{"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6400"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6400"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hebergement.universite-paris-saclay.fr\/l3papp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}