Scattering of a Rayleigh Wave by an Elastic Wedge Whose Angle is Greater Than 180 Degrees

2000 ◽  
Vol 68 (3) ◽  
pp. 476-479 ◽  
Author(s):  
A. K. Gautesen
Keyword(s):  
Steady State ◽  
Rayleigh Wave ◽  
Numerical Solution ◽  
Integral Equations ◽  
Rayleigh Waves ◽  
Fredholm Integral Equations ◽  
Elastic Wedge ◽  
Elementary Functions ◽  
State Problem ◽  
Steady State Problem

The steady-state problem of scattering of an incident Rayleigh wave by an elastic wedge whose angle is greater than 180 degrees is considered. The problem is reduced to the numerical solution of a pair of Fredholm integral equations of the second kind whose kernels consist of elementary functions. Numerical results are given for the amplitude and phase of the Rayleigh waves transmitted and reflected by the corner.

Numerical Solution of the Planar Hydrostatic Foil Bearing

1979 ◽  
Vol 101 (1) ◽  
pp. 86-91 ◽  
Author(s):  
A. Eshel
Keyword(s):  
Steady State ◽  
Film Thickness ◽  
Computer Program ◽  
Numerical Solution ◽  
Asymptotic Approach ◽  
State Problem ◽  
Shooting Technique ◽  
Foil Bearing ◽  
Approach To Steady State ◽  
Steady State Problem

The steady state problem of the planar hydrostatic foil bearing is analyzed and solved numerically. Two techniques of solution are used. One method is simulation in time with asymptotic approach to steady state. This is achieved by a preprocessor which automatically sets up the numerical computer program. The second method is an iterative shooting technique. The results agree well with one another. Curves of pressure and typical film thickness versus flow are presented.

Mixed steady-state problem of torsion of a sphere with an elastic core

1976 ◽  
Vol 12 (12) ◽  
pp. 1247-1251
Author(s):  
V. A. Babeshko ◽  
V. E. Veksler
Keyword(s):  
Steady State ◽  
State Problem ◽  
Elastic Core ◽  
Steady State Problem

scholarly journals A Comparative Study on Haar Wavelet and Hosaya Polynomial for the numerical solution of Fredholm integral equations

2018 ◽  
Vol 3 (2) ◽  
pp. 447-458 ◽  
Author(s):  
S.C. Shiralashetti ◽  
H. S. Ramane ◽  
R.A. Mundewadi ◽  
R.B. Jummannaver
Keyword(s):  
Error Analysis ◽  
Comparative Study ◽  
Numerical Solution ◽  
Integral Equations ◽  
Haar Wavelet ◽  
Fredholm Integral Equations ◽  
Polynomial Method ◽  
Wavelet Method ◽  
Haar Wavelet Method ◽  
Hosoya Polynomial

AbstractIn this paper, a comparative study on Haar wavelet method (HWM) and Hosoya Polynomial method(HPM) for the numerical solution of Fredholm integral equations. Illustrative examples are tested through the error analysis for efficiency. Numerical results are shown in the tables and figures.

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