title: Complete band gaps in a polyvinyl chloride (PVC) phononic plate with cross-like holes: numerical design and experimental verification.
abstract: In this work the existence of band gaps in a phononic polyvinyl chloride (PVC) plate with a square lattice of cross-like holes is numerically and experimentally investigated. First, a parametric analysis is carried out to find plate thickness and cross-like holes dimensions capable to nucleate complete band gaps. In this analysis the band structures of the unitary cell in the first Brillouin zone are computed by exploiting the Bloch-Floquet theorem. Next, time transient finite element analyses are performed to highlight the shielding effect of a finite dimension phononic region, formed by unitary cells arranged into four concentric square rings, on the propagation of guided waves. Finally, ultrasonic experimental tests in pitch-catch configuration across the phononic region, machined on a PVC plate, are executed and analyzed. Very good agreement between numerical and experimental results are found confirming the existence of the predicted band gaps.
authors.affiliation: Department of Civil, Environmental and Materials Engineering - DICAM, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy.
authors.forename: Marco
authors.initials: M
authors.lastname: Miniaci
authors.affiliation: Department of Civil, Environmental and Materials Engineering - DICAM, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy. Electronic address: alessandro.marzani@unibo.it.
authors.forename: Alessandro
authors.initials: A
authors.lastname: Marzani
authors.affiliation: Department of Electrical, Electronic and Information Engineering - DEI, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy.
authors.forename: Nicola
authors.initials: N
authors.lastname: Testoni
authors.affiliation: Department of Electrical, Electronic and Information Engineering - DEI, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy.
authors.forename: Luca
authors.initials: L
authors.lastname: De Marchi
keywords: Band structures; Bragg scattering; Guided waves; Phononic plate; Ultrasonic testing