Theoretical and numerical investigation of HF elastic wave propagation in two-dimensional periodic beam lattices

Bandgaps and directional properties of two-dimensional square beam-like zigzag lattices

“…Liu et al 10 reported the locally resonant bandgaps in modified two-dimensional lattice materials. Tie et al 11 focused on the highfrequency elastic wave propagation in two-dimensional beam lattices. The in-plane and out-of-plane waves were treated to be decoupled.…”

Band structure analysis of a thin plate with periodic arrangements of slender beams

“…A brief explanation of Bloch's theorem is presented below. For a more detailed description, see for instance the works of Collet et al [3], Gonella et al [15], Phani et al [16], and Tie et al [17].…”

Optimal Design of the Band Structure for Beam Lattice Metamaterials

“…An increasing research attention is being currently paid to the characterization of the acoustic properties of periodic materials with beam lattice microstructure. In particular, several studies have been developed to parametrically assess the dispersion relations governing the free propagation of elastic waves (Phani et al, 2006;Spadoni et al, 2009;Paggi, 2010;Tee et al, 2010;Colquitt et al, 2011;Tie et al, 2013;Reda et al, 2016;Amendola et al, 2018;Bordiga et al, in press), as well as the associated transfer of mechanical energy (Langley, 1994(Langley, , 1995(Langley, , 1996Bacigalupo and Lepidi, 2018). An objective of major theoretical interest for engineering applications, including for instance wave trapping, vibration shielding, noise silencing and invisibility cloaking, is the realization of phononic filters by designing and optimizing the stop bands of the frequency spectrum.…”