systemeadeuxdegresdeliberte.py

Created on October 21, 2023

713 Bytes

Vibrations libres :
  ex avec deux masses ( m1 et m2 ) et trois ressorts ( k1, K, K2) et ( q1 et q2):
    On a 
    m1 q" + k1q1 + k ( q1 - q2)
    m2 q" + k2q2 + k (q2 - q1)
    Puis résolution matricielle (voir lagrange )
Il faut couper le système pour s'éloigner des pulsations trop proches des secousses
Systèmes conservatifs, vibrations forcées :
  On ajoute F01sin(W1t + Phi1) et F02sin(W2t + Phi2)
  
Systèmes non conservatifs, vibrations libres :
  ex ( même en ajoutant deux frottements, c1,c,c2) :
        m1 q" + k1q1 + k ( q1 - q2) + c1q1' + c(q1'-q2')
        m2 q" + k2q2 + k (q2 - q1) + c2q2' +c(q1'-q2')
  vibrations forcées :
    pareil on ajoute les F

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systemeadeuxdegresdeliberte.py