@article {Machado:2020:0736-2935:305, title = "Analysis of phononic crystals with uncertainty parameters using extended plane wave expansion", journal = "INTER-NOISE and NOISE-CON Congress and Conference Proceedings", parent_itemid = "infobike://ince/incecp", publishercode ="ince", year = "2020", volume = "261", number = "6", publication date ="2020-10-12T00:00:00", pages = "305-313", itemtype = "ARTICLE", issn = "0736-2935", url = "https://ince.publisher.ingentaconnect.com/content/ince/incecp/2020/00000261/00000006/art00041", author = "Machado, Marcela Rodrigues and Miranda Junior, Edson Jansen Pedrosa and Santos, Jos{\’e} Maria Campos do", abstract = "In this paper, the extended plane wave expansion (EPWE) method is used to obtain the band structure of 1D phononic crystals (PnCs). Inherent to all real systems, geometry, material property and boundary condition uncertainties can be included in the model to evaluate the system uncertainty. The main goal is to analyse the effect of uncertainties in parameters of the metamaterials-based structures and how it can influence the Bragg-type band gaps of 1D PnC rods. The band structure is obtained and presented by including the effect of the uncertainty in the mechanical properties, geometry and filling fraction.", }