Homogenization theory for designing graded viscoelastic sonic crystals*
Qu Zhao-Liang, Ren Chun-Yu, Pei Yong-Mao†, Fang Dai-Ning‡
       
Displacement amplitudes of the nodes along the wave propagation direction ( x ). Inset (a) shows the displacement distributions of the graded VSC plate, and inset (b) shows the displacement distributions of an equivalent plate. The graded VSC plate is composed of many rows of the unit cells, and the filling fraction ( r/a ) of the unit cell in a single row becomes larger along the wave propagation direction ( x ). The solid squares denote the equivalent structure, and the empty circles represent the graded VSC plate.