Chapitre 1,2,3,4 Flashcards

1
Q

Onde longitudinale

A

perturbation parallèle sens de propagation

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2
Q

Onde transversale

A

perturbation perpendiculaire sens de propagation

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3
Q

w zero = ?

A

w zero = racine(k/m) la pulsation propre du système

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4
Q

c=?

A

c= racine(k *d^2/m)

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5
Q

T= ?

A

est la période temporelle

T=2π/ω

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6
Q

k=? (période spatiale)

A

k=2π/ λ est la période spatiale

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7
Q

Approximation sin( α)=?

A

sin( α)=tan( α)=∂y/∂x

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8
Q

Équations ρ son ?

A

δρ = ρ.χ.p = - ρ.∂u/∂x

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9
Q

Équation d’Euler ?

A

ρ×∂₂u⁄∂₂t = -∂p⁄∂x avec v=∂u/∂t

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10
Q

Relation de dispersion

A

k=ω/c

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11
Q

vitesse de phase

A

Vφ= ω/k

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12
Q

Milieu dispersif :

A

Vφ dépend de ω

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13
Q

Nœuds ?

A

Nœuds : points pour lesquels ψ = 0

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14
Q

Expression φ onde stationnaires ?

A

φ = Acos(kx+φ)cos(ωt+φ)

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15
Q

Distance entre deux nœuds ou ventre ?

A

λ/2

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16
Q

Formules Moivre et Euler

A

cos θ = ejθ+e-jθ /2

sin θ = ejθ - e-jθ /2j

17
Q

Amplitudes max quand A≠B

A

ωt - kx +φ = ωt +kx +ϕ

18
Q

Amplitudes min quand A≠B

A

ωt - kx +φ = ωt +kx +ϕ +π

19
Q

Amplitudes max quand A=B

A

2A (= les ventres)

20
Q

Régime libre et forcé modes propres

A

Libre : N modes propres + evolution système = CL de modes propres
Forcé : résonance si pulsation excitatrice = pulsation propre

21
Q

valeurs k et ω ? (mode propre corde attachée)

A

k = nπ/L ω=nπ/c

22
Q

k’positif et k”=0

A

onde progressive x croissant sans atténuation

23
Q

k’négatif et k”=0

A

onde progressive x decroissant sans atténuation

24
Q

k’=0 et k” positif ou negatif

A

onde stationnaire avec atténuation

25
Q

k’=0 et k”=0

A

stationnaire sans atténuation

26
Q

épaisseur de pénétration de l’onde

A

δ=1/k”(w)