We report the first definitive experimental observation of periodic orbits (POs) in the spectral properties of an elastodynamic system. The Fourier transform of the density of flexural modes show peaks that correspond to stable and unstable POs of a clover shaped quartz plate. We change the shape of the plate and find that the peaks corresponding to the POs that hit only the unperturbed sides a...

Fluid-structure interaction in a simplified two-dimensional model of the larynx is considered to study human phonation. The flow is driven by an imposed pressure gradient across the glottis and interacts with the moving vocal folds in a self-sustained oscillation. The flow is computed by solving the 2D compressible Navier–Stokes equations using a high order finite difference method, which has b...

A meshless approximation and local integral equation (LIE) formulation are proposed for elastodynamic analysis of a hollow cylinder made of quasicrystal materials with decagonal quasicrystal properties. The cylinder is assumed to be under shock loading. Therefore, the general transient elastodynamic problem is considered for coupled phonon and phason displacements and stresses. The equations of...

Abstract In this paper, we compute the band structure of one- and two-dimensional phononic composites using extended finite element method (X-FEM) on structured higher-order (spectral) meshes. On partition-of-unity enrichment in analysis, X-FEM permits use meshes that do not conform to geometry holes inclusions. This eliminates need for remeshing shape optimization topology studies. two dimensi...

The scattering of harmonic waves has been studied extensively for problems in quantum mechanics, acoustics, electromagnetics, and elasticity. Solutions to elastodynamic are the basis ultrasonic non-destructive evaluation measurement models. Therefore, this study, we investigate use boundary element method (BEM) frequency domain using an off-boundary technique which observation points taken insi...