WAVES AND VIBRATIONS IN INHOMOGENEOUS STRUCTURES ...

Optimization of space-time material layout for 1D wave propagation 611
a) b)
Figure 6. Space-time plot of the material distribution in the optimized structure.
a) without penalization of intermediate densities, b) with penalization of
intermediate densities.
Displacement, u
1
0.8
0.6
0.4
0.2
0
1 1.1 1.2 1.3 1.4 1.5
Time, t
target
output
output - w. pen
Figure 7. Target output pulse and output pulse for the optimized design without
and with penalization of intermediate design variables.
Figure 8. Illustration of pulse compression as the pulse propagates through the
optimized dynamic structure corresponding to Fig. 6a.