Investigation for ultra-shorten coupling length in woodpile structure

Compressive stiffness of staggered woodpile lattices: Mechanics, measurement, and scaling laws

“…When this parameter is close to 0 or 1, representing a very asymmetric placement of the alternating layers, φ(α) increases steeply. For symmetrically staggered filaments, α = 0.5, for which φ(0.5) = 1, so that equations (11) and ( 12) coincide with equations ( 1) and (2), respectively. This is further taken up in Section 3.1, where the importance of the correct slope continuity at the supports is brought out with FE simulations.…”

“…In this paper, we are concerned with elastic lattices composed of orthogonally stacked filaments in a woodpile arrangement. Such lattice structures are commonly used in biomedical scaffolds [4][5][6][7], electromagnetic bandgap structures [8][9][10][11][12], and other lightweight structural applications [13,14]. Just as bandgap structures in electromagnetism and optics have led to a flurry of research activities, acoustic meta-materials with hierarchical lattice geometry appear promising for tailoring vibro-acoustic transmission of mechanical waves [15] .…”