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Uncertainty analysis of band gaps for beams with periodically distributed resonators produced by additive manufacturing

Author(s):
Fabro, A. T. ; Beli, D. ; Arruda, J. R. F. ; Ferguson, N. S. ; Mace, B. R. ; Sas, P ; Moens, D ; VanDeWalle, A
Total Authors: 8
Document type: Journal article
Source: PROCEEDINGS OF ISMA2016 INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING AND USD2016 INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS; v. N/A, p. 12-pg., 2016-01-01.
Abstract

Periodic structures can be designed to exhibit elastic band gap behaviour by varying material or geometrical properties, i.e. phononic crystals, or by periodically distributed resonators or boundary conditions, i.e. acoustic metamaterials, with various applications in passive noise and vibration control. The additive manufacturing, or 3D printing, has been used in the production of structures with complex features at low cost and, even though it can significantly affect the band gap performance due to the manufacturing variability, it has been shown that the use of 3D printers is feasible. In this work, an uncertainty analysis is presented for the band gaps of beams with periodically distributed resonators manufactured by 3D printing is proposed. An analytical tool, the WKB (after Wentzel, Kramers and Brillouin) approximation, is used in order to find a suitable generalisation of the wave solutions in slowly varying waveguides and provides a framework for the uncertainty analysis. Material and geometrical variability are modelled as spatially correlated randomness and the statistics of the forced response are derived. (AU)

FAPESP's process: 15/15718-0 - Dynamic Behavior of Beam and Plate Metamaterials with Fluid-Structure Interaction
Grantee:Danilo Beli
Support Opportunities: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 14/19054-6 - Design of periodic structures with application to phononic crystals and acoustic metamaterials
Grantee:Danilo Beli
Support Opportunities: Scholarships in Brazil - Doctorate