A two-dimensional lattice with band gaps robust to mechanical variability

Author(s)

Ribeiro, L. H. M. S. ; Dal Poggetto, V. F. ; Beli, D. ; Fabro, A. T. ; Arruda, J. R. F. ; Desmet, W ; Pluymers, B ; Moens, D ; Vandemaele, S

• Document type: Journal article
• Source: PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2020) / INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2020); v. N/A, p. 15-pg., 2020-01-01.

Abstract

Vibration can also be modeled as waves propagating in an elastic waveguide. Phononic crystals are periodic waveguides that may present Bragg scattering band gaps, frequency bands where waves cannot propagate. Two-dimensional lattices have important practical applications and can be built using additive manufacturing. Mechanical property variability must be considered in 3D-printed structures. In this study, we investigate two-dimensional deterministic and stochastic models of a periodic frame structure. Random mass density and Young's modulus are inferred through a Markov chain Monte Carlo (MCMC) algorithm, which proved to be highly precise in obtaining the Bayesian posterior distribution. We calculate the stochastic response using this model with the inferred distributions. Using the mean values a deterministic analysis is performed to verify the existence of full band gaps. It is shown that the proposed structure presents full band gaps that are robust with respect to the assumed mechanical property variability. (AU)

• FAPESP's process: 19/00315-8 - Uncertainty and its influence in the behavior of mechanical waveguides
• Grantee: Luiz Henrique Marra da Silva Ribeiro
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 18/15894-0 - Periodic structure design and optimization for enhanced vibroacoustic performance: ENVIBRO
• Grantee: Carlos de Marqui Junior
• Support Opportunities: Research Projects - Thematic Grants