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K bb ] est la contribution de la fibre inclinée à la matrice de l'élément poutre à 12 ,
en raison de la définition des DDL de déplacements relatifs, une seule rotation est à effectuer. Notant [R] la matrice de rotation de changement de repère (repère local -repère global), on a ,
Elle s'écrit : (24) [K-] = j;[B'] k [C^lB r ] k t 1 a k dx 1 = ¿^{N^E^'lNis)}^ On remarque sous cette forme que les composantes de la matrice [K H ] sont définies en fonction de l'abscisse curviligne s. Par conséquent, elles ne sont pas à transférer dans le repère global lors de l ,
Comme la matrice [K a ], ces composantes sont définies en fonction de l'abscisse curviligne s : (25) [K rf ] = Jf t ^{N(s)}JE (l) {N(s)}ds où f t = -sgn(^ ) ,
est la matrice de rigidité due au couplage entre déplacements de la poutre et effets du frottement. Cette matrice est non-symétrique ,