Analysis of sound radiation from a vibrating elastically supported annular plate using compatibility layer and radial polynomials
TL;DR: In this article, the authors investigated the problem of sound radiation from a thin vibrating annular plate, which is supported elastically at its circumference and embedded into the bottom of a circular cavity in a rigid plane.
About: This article is published in Journal of Sound and Vibration.The article was published on 2022-02-17 and is currently open access. It has received 2 citations till now. The article focuses on the topics: Compatibility (geochemistry) & Sound power.
Citations
More filters
TL;DR: In this article , a Mindlin plate with an embedded circular acoustic black hole indentation was used to compute the rotations and bending displacement at the mid-surface, with boundary conditions imposed via the nullspace method.
5 citations
TL;DR: In this article , the free vibration analysis of a sandwich annular thin plate with whirl motion was conducted, where the upper and lower faces of the annular plate are made of uniform solid metal, while its core is porous foamed metal reinforced by graphene nanoplatelets (GPLs).
Abstract: This paper conducted the free vibration analysis of a sandwich annular thin plate with whirl motion. The upper and lower faces of the annular plate are made of uniform solid metal, while its core is porous foamed metal reinforced by graphene nanoplatelets (GPLs). Both uniform and non-uniform distributions of GPLs and porosity along the direction of plate thickness which leads to a functionally graded (FG) core are taken into account. The effective material properties including Young’s modulus, Poisson’s ratio and mass density are calculated by employing the Halpin–Tsai model and the rule of mixture, respectively. Based on the Kirchhoff plate theory, the differential equations of motion are derived by applying the Lagrange’s equation. Then, the assumed mode method is utilized to obtain free vibration behaviors of the sandwich annular plate. The finite element method is adopted to verify the present model and vibration analysis. The effects of porosity coefficient, porosity distribution, graphene nanoplatelet (GPL) distribution, graphene nanoplatelet (GPL) weight fraction, graphene nanoplatelet length-to-thickness ratio (GPL-LTR), graphene nanoplatelet length-to-width ratio (GPL-LWR), spinning speed, outer radius-to-thickness ratio and inner radius-to-thickness ratio of the plate, are examined in detail.
2 citations
References
More filters
Book•
01 Jan 1970
17,608 citations
TL;DR: The theory of interference and interferometers has been studied extensively in the field of geometrical optics, see as discussed by the authors for a survey of the basic properties of the electromagnetic field.
Abstract: Historical introduction 1. Basic properties of the electromagnetic field 2. Electromagnetic potentials and polarization 3. Foundations of geometrical optics 4. Geometrical theory of optical imaging 5. Geometrical theory of aberrations 6. Image-forming instruments 7. Elements of the theory of interference and interferometers 8. Elements of the theory of diffraction 9. The diffraction theory of aberrations 10. Interference and diffraction with partially coherent light 11. Rigorous diffraction theory 12. Diffraction of light by ultrasonic waves 13. Scattering from inhomogeneous media 14. Optics of metals 15. Optics of crystals 16. Appendices Author index Subject index.
4,439 citations
Book•
30 Jun 1999
TL;DR: The Inverse Problem: Cylindrical NAH. as discussed by the authors The Inverse problem: Planar NAH and the Inverse NP-hardness of planar plane waves.
Abstract: Preface. Fourier Transforms & Special Functions. Plane Waves. The Inverse Problem: Planar NAH. Cylindrical Waves. The Inverse Problem: Cylindrical NAH. Spherical Waves. Spherical NAH. Green Functions & the Helmholtz Integral. Index.
1,032 citations