Fig. 2
The sketch of proposed paired resonator system. a Sketch of a thin plate with two resonators installed at x = ±W. Each resonator at x = W or x = −W consists of two symmetrically configured C-shaped beams to ensure the generation of pure thickness-symmetric longitudinal waves without generating thickness-antisymmetric bending waves. (The dimension of the C-channel box beam aluminum resonators are tR = 3 mm, wR = 6 mm, hR = 4.5 mm, bR = 1.5 mm, and test plate thickness t0 = 2 mm.) b One-dimensional bar models describing the longitudinal motion in the plate shown in a. The model in the top illustration depicts a bar equipped with two point resonators, while the model in the bottom illustration is an equivalent bar model with a modified effective impedance to account for the effects of resonators on wave motion. The actuation by the PZT patch is modeled with two concentrated pin forces. c Analysis of bar model in which the displacements in various locations are specified
