Eduardo Kausel-Fundamental solutions in elastodynamics_ a compendium-Cambridge University Press (2006)

96 Two-dimensional problems in homogeneous plates and strata
0.10
0.05
µg zz
0
-0.05
-0.10
0 1 2 3 4 5
ωh
2πβ
0.1
ρβhu zz
-0.1
0 2 4 6 8 10
βt
τ =
h
Figure 7.6c: Homogeneous plate with mixed boundary conditions FC-CF,
ν = 0.25. Vertical response at (x,z) = (h, 0.75h) due to vertical SVP line
load at elevation z 0 = 0.25h. Top: frequency domain. Solid line, real part;
dashed line, imaginary part. Bottom: time domain.
with mixed boundary conditions FC (bottom) and CF (top), for Poison’s ratio ν = 0.25.
The time domain solution uses solely the mirror images whose arrivals at the receiver fall
within the observation window; the normal mode solution uses 20 modes. The frequency
domain solution with the method of images and 50 images gives similar results to the modal
method, but with some low amplitude ripples that decrease as the number of images is
increased.