Tableau 1
Paramètres λn pour une poutre de section rectangulaire (e = 0,5 m, l = 0,5 m) en conditions d'encastrement en une extrémité et de liberté à l'autre, pour modes de flexion et d'élongation. Pulsation ωn et fréquences fn correspondantes pour éléments de 10 m de longueur (L) en béton (E = 25 000 MPa, ρ = 2500 kg.m−3).
Parameters λn for a clamped-free beam of rectangular cross section (e = 0.5 m, l = 0.5 m), for bending and stretching modes. Pulsation ωn and frequency fn correspond to 10 m long elements (L) made of concrete (E = 25 000 MPa, ρ = 2500 kg.m−3).
| λn | Flexion (encastré − libre) | ωn (rad.s−1) | fn (Hz) | Elongation (encastré − libre) | ωn (rad.s−1) | fn (Hz) |
|---|---|---|---|---|---|---|
| λ1 | 1,875 | 16,1 | 2,5 | 1,571 | 496,8 | 79,1 |
| λ2 | 4,694 | 100,6 | 16,0 | 4,712 | 1490,0 | 237,1 |
| λ3 | 7,855 | 281,6 | 44,8 | 7,854 | 2483,6 | 395,3 |
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