Effects of geometric and material nonlinearities on tunable band gaps and low-frequency directionality of phononic crystals

P Wang, J Shim, K Bertoldi - Physical Review B—Condensed Matter and …, 2013 - APS
We investigate the effects of geometric and material nonlinearities introduced by
deformation on the linear dynamic response of two-dimensional phononic crystals. Our …

[HTML][HTML] Probability that a band-gap extremum is located on the irreducible Brillouin-zone contour for the 17 different plane crystallographic lattices

F Maurin, C Claeys, E Deckers, W Desmet - International Journal of Solids …, 2018 - Elsevier
After recalling the first Brillouin zone (BZ) and the first irreducible Brillouin zone (IBZ) of a
lattice in terms of its plane crystallographic group, we investigate the danger of restricting a …

Honeycomb phononic crystals with self-similar hierarchy

D Mousanezhad, S Babaee, R Ghosh, E Mahdi… - Physical Review B, 2015 - APS
We highlight the effect of structural hierarchy and deformation on band structure and wave-
propagation behavior of two-dimensional phononic crystals. Our results show that the …

On the mechanical modeling of the extreme softening/stiffening response of axially loaded tensegrity prisms

F Fraternali, G Carpentieri, A Amendola - … of the Mechanics and Physics of …, 2015 - Elsevier
We study the geometrically nonlinear behavior of uniformly compressed tensegrity prisms
through fully elastic and rigid-elastic models. The given models predict a variety of …

[HTML][HTML] Tuning frequency band gaps of tensegrity mass-spring chains with local and global prestress

A Amendola, A Krushynska, C Daraio… - International journal of …, 2018 - Elsevier
This work studies the acoustic band structure of tensegrity mass-spring chains, and the
possibility to tune the dispersion relation of such systems by suitably varying local and …

Wave propagation in undulated structural lattices

G Trainiti, JJ Rimoli, M Ruzzene - International Journal of Solids and …, 2016 - Elsevier
This work investigates wave propagation in undulated square structural lattices. The
undulated pattern is obtained by imposing an initial curvature to the lattice's elements. The …

Experimental investigation of the softening–stiffening response of tensegrity prisms under compressive loading

A Amendola, G Carpentieri, M De Oliveira… - Composite …, 2014 - Elsevier
The present paper is concerned with the formulation of new assembly methods of bi-material
tensegrity prisms, and the experimental characterization of the compressive response of …

Octet lattice-based plate for elastic wave control

G Aguzzi, C Kanellopoulos, R Wiltshaw, RV Craster… - Scientific reports, 2022 - nature.com
Motivated by the importance of lattice structures in multiple fields, we numerically investigate
the propagation of flexural waves in a thin reticulated plate augmented with two classes of …

Exact wave propagation analysis of lattice structures based on the dynamic stiffness method and the Wittrick–Williams algorithm

X Liu, Z Lu, S Adhikari, YL Li, JR Banerjee - Mechanical Systems and …, 2022 - Elsevier
This paper proposes two significant developments of the Wittrick–Williams (W–W) algorithm
for an exact wave propagation analysis of lattice structures based on analytical dynamic …

[HTML][HTML] Rainbow trapping of out-of-plane mechanical waves in spatially variant beam lattices

B Telgen, V Kannan, JC Bail, C Dorn, H Niese… - Journal of the …, 2024 - Elsevier
We numerically and experimentally investigate the propagation of mechanical waves in two-
dimensional periodic and spatially graded elastic beam lattices. Experiments on metallic …