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3 Convention “tronçon”3.1 Présentation <strong>de</strong> la convention “tronçon”p + (− 1 2 ,s)p + ( 1u(− 1 2 ,s)2 ) u( 1 2 )u lp inl(s)p outr (s)u rp − (− 1 2 ,s)p − ( 1 2 ,s)p outl(s)p inr (s)Figure 2 – Convention axialeFigure 3 – Convention tronçonσ(l) = R′ (l)R(l)σ l = R′ (− 1 2 )R(− 1 2 ) , σ r = − R′ ( 1 2 )R( 1 2 )[ ] p+p − = 1 [ ][ 1 S/Sc P2 1 −S/S c U[ ] [ P 1 1=U S c /S −S c /S][ p+p − ]] [pinl/rp out[Pl/rl/r]= 1 2] [=U l/r[ ][ ]1 Sl/r /S c Pl/r1 −S l/r /S c U l/r] [ 1 1 p inS c /S l/r −S c /S l/rl/rp outl/r][ ] φ+φ − = R [ ][ 1 1 P2 1 −1 U[ ] P= 1 [ 1 1U R 1 −1][ φ+φ − ]] [φinl/rφ out]= R l/rl/r 2]U l/r[Pl/r[ 1 11 −1= 1R l/r[ 1 11 −1][Pl/rU l/r]] [ φ inl/rφ outl/r][ ψ+[ PUψ − ]= R 2]= 1 R[ 1 11 −1[ 1 11 −1][ PU] [+ R′ −12s 1][ ψ+ψ − ]+ R′sR 2 [ 01]P]ψ[ψinl/rψ outl/r[Pl/rU l/r]]== R l/r2+ R′ l/r2s[ 1 11 −1[ −111R l/r[ 1 11 −1+ R′ l/rsR l/r2⎡⎣]P l/r][Pl/rU l/r]] [ ψl/rinψl/rout⎤0σ l/rR ′ l/r /R l/r]⎦ ψ l/r
3.2 Fonctions et paramètres <strong>de</strong> baseC Γ (s) =cosh ( Γ(s) )S Γ (s) = sinh ( Γ(s) )Γ(s)T (s) = e −Γ(s) = D(s)e −s = T + (s) =T − (s)D(s) = e s−Γ(s)R(s) = s − Γ(s)s +Γ(s)R le (s) = T le (s) − 1 = s − Γ(s) − σ ls +Γ(s)+σ l=R re (s) = T re (s) − 1 = s − Γ(s) − σ rs +Γ(s)+σ r=R li (s) = T li (s) − 1 = − s − Γ(s)+σ ls +Γ(s)+σ l=R ri (s) = T ri (s) − 1 = − s − Γ(s)+σ rs +Γ(s)+σ r=2ss +Γ(s)+σ l− 12ss +Γ(s)+σ r− 12Γ(s)s +Γ(s)+σ l− 12Γ(s)s +Γ(s)+σ r− 1k l = S c − S lS c + S l= − Z c − Z lZ c + Z lk r = S c − S rS c + S r= − Z c − Z rZ c + Z rR s ll(s) =−σ 2s + σ lσ rRr(s) s =−2s + σ rσ l = R′ (− 1 2 )R(− 1 2 )σ r = − R′ ( 1 2 )R( 1 2 )
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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 58 and 59: 3.3 Quadripôles de conversionP l1p
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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