Waves, Oscillations & Acoustics
3 terms
Nodes & Antinodes
Waves, Oscillations & Acoustics
m
Specific fixed positions on a standing wave where displacement amplitude is zero (nodes) or maximum (antinodes).
Node Spacing = λ / 2, Antinode Spacing = λ / 2
Non-linear Oscillations
Waves, Oscillations & Acoustics
Various
Oscillatory systems where restoring forces do not obey linear Hooke's law, leading to amplitude-dependent frequency and chaotic behavior.
m (d²x/dt²) + k x + β x³ = 0 (Duffing Equation)
Normal Modes
Waves, Oscillations & Acoustics
Hz
Characteristic independent natural patterns of motion in which all parts of an oscillating system move sinusoidally at the same natural frequency.
f_n = n f1 = n v / (2 L)