Seismische Wellen

Underdamped case (ω0 >ε ), result
x r
(t) =
x r0
cosφ e−εt cos( ω 2 0
− ε 2 t − φ)
= x r0
cosφ e−εt cos( ωt − φ)
φ = arcsin ε ω 0
In the underdamped case (h < 1), the seismometer oscillates with the
period T = 2π/ω which is always larger than the undamped natural
period T 0 .
T = 2π ω =
2π
ω 2 0
− ε = 2π
2 ω 0
1− ε 2 / ω = 2π ⋅
2
0
ω 0
1
1− h 2
=
T 0
1 − h 2