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The role of non-slender inner structural designs on the linear and non-linear wave propagation attributes of periodic, two-dimensional architectured materials

Abstract : In the current work, we analyse the role of non-slender inner structural designs on the wave propagation characteristics of periodic, two-dimensional architectured materials. In particular, we study the effect of non-negligible inner transverse shear strains on the linear and non-linear dispersion characteristics of different periodic inner material designs, with square, triangular, hexagonal and re-entrant hexagonal unit-cells. Thereupon, we compare their non-slender, Timoshenko-based dispersion attributes with the ones obtained using the simplified Bernoulli-based formulation. In order to obtain the nonlinear dispersion diagram corrections, we make use of the Linstedt-Poincaré perturbation framework, after computing the architectured materials' Timoshenko-based, higher order inner stiffness characteristics. The results suggest that the primal linear eigenfrequencies of the periodic, non-slender structures are reduced over certain wavenumbers when Timoshenko effects are accounted for, with the magnitude of the reduction to depend on the Timoshenko factor and on the unit-cell architecture. Contrariwise, the nonlinear, wave amplitude dependent corrections can be either amplified or reduced, depending on the propagating wavenumber and lattice design. The most significant effects are observed for the architectured structure's primal, shear mode.
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https://hal.univ-lorraine.fr/hal-03311691
Contributor : Jean-François GANGHOFFER Connect in order to contact the contributor
Submitted on : Monday, August 2, 2021 - 6:56:07 AM
Last modification on : Friday, August 5, 2022 - 2:54:00 PM

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N. Karathanasopoulos, H. Reda, J.F. Ganghoffer. The role of non-slender inner structural designs on the linear and non-linear wave propagation attributes of periodic, two-dimensional architectured materials. Journal of Sound and Vibration, 2019, 455, pp.312-323. ⟨10.1016/j.jsv.2019.05.011⟩. ⟨hal-03311691⟩

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