This section presents several examples of maximizing the dynamic response reliability index of the continuum structures involving three phase materials by topology optimization technique. For simplification, Possion’s ratios of all phase materials are 0.3. The elastic moduli of the phase materials illustrated in black, red and yellow are respectively 3 × 1010 Pa, 9 × 1010 Pa and 2.1 × 1011 Pa. The corresponding mass densities are 3500 kg/m3, 4000 kg/m3 and 7800 kg/m3, respectively. The target volume
