Dynamic buckling of long thin elastic plate under rapidly applied shear loading

AIAA Journal ◽  
1996 ◽  
Vol 34 (8) ◽  
pp. 1752-1755
Author(s):  
Emil T. Dankov
Keyword(s):  
Elastic Plate ◽  
Shear Loading ◽  
Dynamic Buckling ◽  
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.

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