Uniform PO and PTD solution for calculating plane wave backscattering from a finite cylindrical shell of arbitrary cross section

1993 ◽  
Vol 41 (9) ◽  
pp. 1336-1339 ◽  
Author(s):  
M. Martinez-Burdalo ◽  
A. Martin ◽  
R. Villar
Keyword(s):  
Cylindrical Shell ◽  
Plane Wave ◽  
Cross Section ◽  
Arbitrary Cross Section ◽  
Finite Cylindrical Shell

Deformation Equations for Non-Circular Cylinders

1960 ◽  
Vol 64 (600) ◽  
pp. 765-766 ◽  
Author(s):  
D. S. Houghton ◽  
D. J. Johns
Keyword(s):  
Cylindrical Shell ◽  
Cross Section ◽  
Explicit Solution ◽  
Lateral Pressure ◽  
Arbitrary Cross Section ◽  
Circular Cylinders ◽  
Pressure Loading ◽  
Elastic Shells ◽  
Linear Problems ◽  
Arbitrary Curvature

As far as is known, no explicit solution exists in the literature for the displacement equations in u, v and w, for a uniform cylinder of arbitrary cross section subjected to a lateral pressure loading. However, the advent of Ref. 1 now makes available an admirable treatise devoted entirely to the analysis of thin elastic shells. The equations developed in this reference apply only to linear problems, i.e. the displacements are assumed to be small in comparison with the thickness of the shell, but they are general enough to include all shells of arbitrary curvature. Unfortunately the generality of these equations inhibits their immediate use to cylindrical shell problems, and it is the purpose of this note to present the essential features of the theory for non-circular cylinders.

Inverse Scattering Related to Cylindrical Bodies Buried in a Lossy Circular Cylinder with Resistive Boundary

Frequenz ◽  
2019 ◽  
Vol 73 (3-4) ◽  
pp. 1-9 ◽  
Author(s):  
Tanju Yelkenci
Keyword(s):  
Circular Cylinder ◽  
Plane Wave ◽  
Cross Section ◽  
Inverse Scattering ◽  
Scattered Field ◽  
Born Approximation ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Field Measurements ◽  
Arbitrary Cross Section

Abstract An inverse scattering problem of cylindrical bodies of arbitrary cross section buried in a circular cylinder with resistive boundary is presented. The reconstruction is obtained from the scattered field measurements for a plane wave illumination under the Born approximation. Illustrative examples are presented in order to see the applicability of the method as well as to see the effects of some parameters on the solution.

The Transient Motion of a Cylindrical Shell of Arbitrary Cross Section in an Acoustic Medium

1977 ◽  
Vol 44 (3) ◽  
pp. 482-486 ◽  
Author(s):  
B. S. Berger ◽  
M. E. Palmer
Keyword(s):  
Cylindrical Shell ◽  
Cross Section ◽  
Arbitrary Cross Section ◽  
Acoustic Medium ◽  
Fluid Equation ◽  
Fluid Medium ◽  
Transient Motion ◽  
Fluid Field ◽  
The Laplace Transform ◽  
Difference Form

A solution has been constructed for the transient motion of a viscoelastic cylindrical shell of the arbitrary cross section, surrounded by a fluid medium. The fluid region external to the shell is mapped into the interior of a rectangle. The transformed fluid equation together with the shell equations are expressed in finite-difference form and the time variable suppressed through the application of the Laplace transform. Shell displacements and acoustic pressures are found over the fluid field and at the fluid solid interface.

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