Dynamic Stresses in a Plate With Circular Holes

1972 ◽  
Vol 39 (1) ◽  
pp. 129-132 ◽  
Author(s):  
S. L. Cheng
Keyword(s):  
Multiple Scattering ◽  
Elastic Plate ◽  
Formal Solution ◽  
Compressional Wave ◽  
Numerical Results ◽  
Thin Elastic Plate ◽  
Dynamic Stresses ◽  
Time Harmonic ◽  
Circular Holes

The formal solution of the problem of defraction of a plane, time-harmonic, compressional wave by a group of cavities in a thin elastic plate is obtained by the method of multiple scattering. The cavities are circular and their geometry of distribution is arbitrary. Numerical results of two identical holes at a finite separation are presented in detail.

On Dynamic Stress Concentration Around a Discontinuity

1967 ◽  
Vol 34 (2) ◽  
pp. 385-391
Author(s):  
S. L. Cheng ◽  
A. Jahanshahi
Keyword(s):  
Stress Concentration ◽  
Elastic Plate ◽  
Dynamic Stress ◽  
Source Location ◽  
Dynamic Stress Concentration ◽  
Dynamic Stresses ◽  
Time Harmonic ◽  
Line Force ◽  
Finite Distance ◽  
Rigid Insert

The redistribution of dynamic stresses due to the presence of a circular cylindrical discontinuity in an unbounded isotropic homogeneous elastic plate is studied. The source of excitation is a time-harmonic line force located at a finite distance from the discontinuity. In particular, the effects of source location on the concentration of energy around a rigid insert or a cavity is explored.

Transverse Flexure of a Thin Plate Containing Two Circular Holes

1959 ◽  
Vol 26 (1) ◽  
pp. 55-60
Author(s):  
O. Tamate
Keyword(s):  
Stress Concentration ◽  
Thin Plate ◽  
Elastic Plate ◽  
Equal Size ◽  
Thin Elastic Plate ◽  
Two Circular Holes ◽  
Circular Holes ◽  
Axes Of Symmetry ◽  
Kirchhoff Theory

Abstract The problem of finding stress resultants in a thin elastic plate containing two circular holes of equal size, under plain bending about the axes of symmetry, has been discussed on the basis of the Poisson-Kirchhoff theory. A method of perturbation is adopted for the determination of parametric coefficients involved in the solution. The factors of stress concentration are calculated and compared with the results available.

Multiple Scattering of Elastic Waves by Parallel Cylinders

1969 ◽  
Vol 36 (3) ◽  
pp. 523-527 ◽  
Author(s):  
S. L. Cheng
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Multiple Scattering ◽  
Elastic Waves ◽  
Electromagnetic Wave Propagation ◽  
Formal Solution ◽  
Finite Domain ◽  
Time Harmonic ◽  
Scattering Of Elastic Waves ◽  
Cylindrical Inclusions

The formal solution resulting from the scattering of a plane, time-harmonic, compressional elastic wave impinged on a group of parallel circular cylindrical inclusions in a finite domain is obtained. The inclusions are rigid as well as immovable and the geometry of their configuration is arbitrary. The technique of “multiple scattering” which was developed in acoustic and electromagnetic wave propagation is applied. The stress field around two identical circular cylindrical inclusions at a finite separation is studied in detail.

Operator Factorization for Multiple-Scattering Problems and an Application to Periodic Media

2012 ◽  
Vol 11 (2) ◽  
pp. 303-318 ◽  
Author(s):  
J. Coatléven ◽  
P. Joly
Keyword(s):  
Multiple Scattering ◽  
Random Number ◽  
Good Method ◽  
Computational Domain ◽  
Periodic Media ◽  
Scattering Problems ◽  
Compact Perturbations ◽  
Time Harmonic ◽  
Operator Factorization ◽  
Interior Problem

AbstractThis work concerns multiple-scattering problems for time-harmonic equations in a reference generic media. We consider scatterers that can be sources, obstacles or compact perturbations of the reference media. Our aim is to restrict the computational domain to small compact domains containing the scatterers. We use Robin-to-Robin (RtR) operators (in the most general case) to express boundary conditions for the interior problem. We show that one can always factorize the RtR map using only operators defined using single-scatterer problems. This factorization is based on a decomposition of the diffracted field, on the whole domain where it is defined. Assuming that there exists a good method for solving single-scatterer problems, it then gives a convenient way to compute RtR maps for a random number of scatterers.

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.

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