scholarly journals Transmission of a Spherical Wave through a Thin Elastic Plate

1956 ◽  
Vol 28 (1) ◽  
pp. 162-162 ◽  
Author(s):  
George Lamb
Keyword(s):  
Elastic Plate ◽  
Spherical Wave ◽  
Thin Elastic Plate

The Sound Transmission Through a Baffled, Thin, Finite, Elastic Plate by Using Boundary Integral Equations

1999 ◽  
Author(s):  
Yasuhito Kawai
Keyword(s):  
Integral Equations ◽  
Elastic Plate ◽  
Boundary Integral Equations ◽  
Sound Transmission ◽  
Coupled System ◽  
Boundary Integral ◽  
Image Method ◽  
Thin Elastic Plate ◽  
Control Engineering ◽  
Sound Fields

Abstract The prediction of sound transmission through a thin elastic plate such as a window is an important problem in the field of noise control engineering. Integral equations which express sound fields in infinite half spaces which are divided off by the baffle and the elastic plate are introduced and combined with the equation of plate vibration to solve as a coupled system. The image method is used in every equation to reduce unknown functions and boundaries which should be considered. Some numerical examples are solved numerically to examine the method.

Sound produced by an aerodynamic source adjacent to a partly coated, finite elastic plate

1992 ◽  
Vol 436 (1897) ◽  
pp. 351-372 ◽  
Keyword(s):  
Elastic Plate ◽  
Loss Factor ◽  
Dipole Source ◽  
Thin Elastic Plate ◽  
Fluid Loading ◽  
Direct Radiation ◽  
Vortex Interactions ◽  
Bending Waves ◽  
Ducted Rotor ◽  
Clamped Edges

An analysis is made of the scattering of bending waves at the edge of an unbafiled, thin elastic plate in the presence of arbitrary fluid loading. Detailed predictions are made of the sound scattered from free and clamped edges, and empirical formulae given for the radiation loss factor over a range of frequencies and fluid loadings. Application is made to the generation of sound by an aerodynamic dipole source adjacent to a finite plate, a finite length of which has been treated with damping material. The dipole models the production of sound by blade-vortex interactions occurring when turbulence or discrete vortices are ingested by a ducted rotor, in which the plate assumes the role of a neighbouring duct wall. In typical underwater applications, when the influence of fluid loading is important, sound produced by the source at frequencies below the coincidence frequency of the bending waves can propagate directly to the far field, essentially as if the plate were absent. However, flexural plate-motions are also generated by the source. These contribute to the radiation by scattering at the edges and, in the absence of dissipation in the plate, the intensity of the edge-scattered sound can dominate the direct radiation from the source. When the edges can vibrate freely, it is shown that a relatively modest amount of damping is sufficient to reduce the edge generated sound to levels below those of the direct radiation. The efficiency with which bending wave energy is converted into sound is much larger for clamped edges, and larger values of coating loss factor and length are necessary to achieve significant reductions in the structural component of the radiated sound.

scholarly journals Wave interaction with Floating platform of different shapes and supports using BEM approach

2017 ◽  
Vol 14 (2) ◽  
pp. 115-133
Author(s):  
Anoop I. Shirkol ◽  
Nasar Thuvanismail
Keyword(s):  
Numerical Model ◽  
Elastic Plate ◽  
Wave Interaction ◽  
Wave Force ◽  
Ocean Waves ◽  
Wave Forces ◽  
Thin Elastic Plate ◽  
Floating Platform ◽  
Floating Elastic Plate ◽  
Different Shapes

Wave interaction with a floating thin elastic plate which can be used as floating platform is analyzed using Boundary Element Method (BEM) for different shapes such as rectangular, circular and triangular. Different support conditions are considered and the performance of the floating platform under the action of ocean waves is explored. The study is performed under the assumption of linearized water wave theory and the floating elastic plate is modelled based on the Euler-Bernoulli beam theory. Using Galerkin’s approach, a numerical model has been developed and the hydrodynamic loading on the floating elastic plate of shallow draft (thickness) is investigated. The wave forces are generated by the numerical model for the analysis of the floating plate. The resulting bending moment and optimal deflection due to encountering wave force is analysed. The present study will be helpful in design and analysis of the large floating platform in ocean waves.

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