Seismic response of a cylindrical shell embedded in a layered viscoelastic half-space. II: Validation and numerical results

Investigation of the elastic state of curve beam system had been considered in [3]. In this paper the elastic-plastic state of curve beam system in the form of cylindrical shell is analyzed by the elastic solution method. Numerical results of the problem and conclusion are given.

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Solution of Navier’s Equation in Cylindrical Curvilinear Coordinates

Journal of Applied Mechanics ◽

10.1115/1.3424424 ◽

1978 ◽

Vol 45 (4) ◽

pp. 812-816 ◽

Cited By ~ 1

Author(s):

B. S. Berger ◽

B. Alabi

Keyword(s):

Fourier Transform ◽

Finite Difference ◽

Boundary Conditions ◽

Half Space ◽

Coordinate Transformation ◽

Numerical Results ◽

Three Dimensions ◽

Curvilinear Coordinates ◽

Rectangular Region

A solution has been derived for the Navier equations in orthogonal cylindrical curvilinear coordinates in which the axial variable, X3, is suppressed through a Fourier transform. The necessary coordinate transformation may be found either analytically or numerically for given geometries. The finite-difference forms of the mapped Navier equations and boundary conditions are solved in a rectangular region in the curvilinear coordinaties. Numerical results are given for the half space with various surface shapes and boundary conditions in two and three dimensions.

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Subsurface and Surface Cracking Due to Hertzian Contact

Journal of Lubrication Technology ◽

10.1115/1.3253217 ◽

1982 ◽

Vol 104 (3) ◽

pp. 347-351 ◽

Cited By ~ 101

Author(s):

L. M. Keer ◽

M. D. Bryant ◽

G. K. Haritos

Keyword(s):

Crack Propagation ◽

Half Space ◽

Elastic Half Space ◽

Contact Stresses ◽

Numerical Results ◽

Hertzian Contact ◽

Vertical Crack ◽

Subsurface Crack ◽

Surface Cracking ◽

Crack Geometry

Numerical results are presented for a cracked elastic half-space surface-loaded by Hertzian contact stresses. A horizontal subsurface crack and a surface breaking vertical crack are contained within the half-space. An attempt to correlate crack geometry to fracture is made and possible mechanisms for crack propagation are introduced.

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On the Torsion of Elastic Half Spaces With Embedded Penny-Shaped Flaws

Journal of Applied Mechanics ◽

10.1115/1.3422789 ◽

1972 ◽

Vol 39 (3) ◽

pp. 786-790 ◽

Cited By ~ 4

Author(s):

R. D. Low

Keyword(s):

Integral Equations ◽

Half Space ◽

Rigid Inclusion ◽

Elastic Half Space ◽

Numerical Results ◽

Fredholm Integral Equations ◽

Graphical Displays ◽

Penny Shaped Crack ◽

Shaped Crack

The investigation is concerned with some of the effects of embedded flaws in an elastic half space subjected to torsional deformations. Specifically two types of flaws are considered: (a) a penny-shaped rigid inclusion, and (b) a penny-shaped crack. In each case the problem is reduced to a system of Fredholm integral equations. Graphical displays of the numerical results are included.

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Influence of Internal Structures of High Modal Density on Shell’s Radiation

Volume 1D: 16th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc97/vib-3916 ◽

1997 ◽

Author(s):

Lionel Oddo ◽

Bernard Laulagnet ◽

Jean-louis Guyader

Keyword(s):

Cylindrical Shell ◽

Sound Radiation ◽

Numerical Results ◽

Structural Damping ◽

Radiation Spectra ◽

Modal Density ◽

Internal Structures ◽

High Modal Density

Abstract The aim of this paper is to study the sound radiation by a cylindrical shell internally coupled with mechanical structures of high modal density. The model is based on a mobility technique. The numerical results show a smoothing of the cylinder’s velocity and radiation spectra associated with an increase of the apparent damping. The use of the S.E.A. method allows us to calculate an additional structural damping of the shell, equivalent to the effect of the internal structures.

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Elastic Layer Pressed Against a Half Space

Journal of Applied Mechanics ◽

10.1115/1.3423375 ◽

1974 ◽

Vol 41 (3) ◽

pp. 703-707 ◽

Cited By ~ 16

Author(s):

K. C. Tsai ◽

J. Dundurs ◽

L. M. Keer

Keyword(s):

Eigenvalue Problem ◽

Integral Equations ◽

Half Space ◽

Elastic Layer ◽

Numerical Results ◽

Fredholm Integral Equations ◽

Auxiliary Functions ◽

Receding Contact ◽

Two Bodies

The paper considers the elastic layer which is pressed against a half space by loads that are not necessarily symmetric about the center of the loaded region. It is shown that the receding contact between the two bodies can be treated by means of superposition, leading to two homogeneous Fredholm integral equations for auxiliary functions that are directly related to the contact tractions. The determination of the extent of contact and the shift between the load and contact intervals can be viewed as an eigenvalue problem of the homogeneous integral equations. Specific numerical results are given for two types of triangular loads, and a comparison is made with certain symmetric loads.

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