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3.3 Quadripôles de conversionP l1p inlp outr−2 S cS rU rS cS l−1−1S cS rU l−2 S cS lp outlp inr1P rFigure 4 – Quadripôle de conversion(P l ,U l ) ↔ (p inl,p outl)Figure 5 – Quadripôle de conversion(p inl,p outl) ↔ (P l ,U l )P lR lφ inlφ outr− 2 R rU r1 −1−1 1U l− 2 R lφ outlφ inrR rP rFigure 6 – Quadripôle de conversion(P l ,U l ) ↔ (φ inl,φ outl)Figure 7 – Quadripôle de conversion(φ inl,φ outl) ↔ (P l ,U l )P lR lψ inlψ outr− 2 R rU r1+ σ ls−1−11+ σ rsU l− 2 R lψ outlψ inrR rP rFigure 8 – Quadripôle de conversion(P l ,U l ) ↔ (ψlin ,ψl out )Figure 9 – Quadripôle de conversion(ψlin ,ψl out ) ↔ (P l ,U l )
3.4 Fonctions de transfertP l (s)H 21 (s)U r (s)H 11 (s)H 22 (s)U l (s)H 12 (s)P r (s)Figure 10 – Quadripôle en variables (P, U)Fonctions de transfert en variables (P, U) Voir figure 10H 11 (s) = 1 C Γ (s)+σ l S Γ (s)s S Γ (s)H 22 (s) = − 1 C Γ (s)+σ r S Γ (s)s S Γ (s)( ) 3 Rl 1 1H 12 (s) = −R r s S Γ (s)H 21 (s) =(RrR l) 31s1S Γ (s)Fonctions de transfert en variables (p in ,p out ) Voir figure 11p inl(s)T + p (s)p outr (s)R l p(s)R r p(s)p outl(s)T − p (s)p inr (s)Figure 11 – Quadripôle en variables (p in ,p out )T + p = R lR r((1 + kl )(1 − k r )T φ)/dpT − p = R rR l((1 − kl )(1 + k r )T φ)/dpR l p = ( k l + k l k r R r φ + k rR l φ Rr φ + Rl φ − k rT 2 φ)/dpRp r = ( k r + k r k l Rφ l + k lRφ r Rl φ + Rr φ − k lTφ) 2 /dpd p = 1+ ( k l Rφ l + k rRφ r + k lk r Rφ l Rr φ − k lk r Tφ2 )
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Rapport de stage - Master 2 SAR ATI
Page 4 and 5:
Table des matièresIntroduction 4Co
Page 6:
IntroductionContexte et état de l
Page 10 and 11: 1 Cas des tubes droits sans pertes1
Page 12 and 13: 1.2 Transposition de la méthode po
Page 14 and 15: oùDans le domaine de Laplace, le m
Page 16 and 17: Υ = −40.30.2R(l) et −R(l)0.10
Page 18 and 19: 4 Adimensionnement, convention axia
Page 20 and 21: La convention appelée “conventio
Page 22 and 23: 1.5Υ < 010.50−0.5 −0.4 −0.3
Page 24 and 25: oùQ(s) =[][[1, σ l ]∆(s) [0,−
Page 26 and 27: Ces valeurs propres et la matrice d
Page 28 and 29: 6.3 Etudes et interprétation des v
Page 30 and 31: ΥTubes symétriquesGéométrie de
Page 32 and 33: Υ = 2, θ = 2, R l = 0.1, ε = 0
Page 34 and 35: (θ = 0,ε = 0) Υ = 10 Υ = 1 Υ =
Page 36 and 37: (θ = ln(2),ε = 0) Υ = 10 Υ = 1
Page 38 and 39: (θ = ln(10),ε = 0) Υ = 10 Υ = 1
Page 40 and 41: (θ = 0,ε = 0.1) Υ = 10 Υ = 1 Υ
Page 42 and 43: (θ = ln(2),ε = 0.1) Υ = 10 Υ =
Page 44 and 45: (θ = ln(10),ε = 0.1) Υ = 10 Υ =
Page 46 and 47: Ces nombreuses figures nous donnent
Page 48 and 49: Conclusion et perspectivesNous avon
Page 50 and 51: [20] H. Haddar, Th. Hélie, and D.
Page 52 and 53: 2 Adimensionnementl ∈ [a, b] ↦
Page 54 and 55: 2.3 Variables d’états2.3.1 Varia
Page 56 and 57: 3 Convention “tronçon”3.1 Pré
Page 60 and 61: φ inl(s)T + φ (s)φ outr (s)R l
Page 62 and 63: 4 Connexion de deux tubes4.1 Connex
Page 64 and 65: 4.3 Connexion à régularité quelc
Page 66 and 67: 6 Forme standard réduite et applic
Page 68 and 69: 6.3.1 Connexion (au moins C 0 ) de
Page 70 and 71: 10ème Congrès Français d’Acous
Page 72 and 73: où Υ = R ′′ /R. Si R est deux
Page 74 and 75: 4 Applications et comparaisonsNous
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