This section presents several examples about the concurrent design of composite macrostructure and cellular microstructure with respect to dynamic stress response under random excitations. The material properties and their marked colors are shown in Table 2. The first phase material presented in Table 2 represents the void, and E1 = 1 × 10−9 E3 and ρ3=1×10-9ρ1 are adopted prevent the stiffness, mass and damping matrices from becoming singular [33]. The initial structure only includes the third