Dynamic response of buried orthotropic cylindrical shells to an inclined axisymmetric moving load

Singh, Jaipal; Singh, Virendra

doi:10.1016/0045-7949(90)90198-b

Cited by 4 publications

(2 citation statements)

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“…They found that the response of a buried pipe depends critically on the speed of the propagating load, the Poisson's ratio, and the rigidity of the surrounding medium. Singh and Singh (1990) used Flugge's thin shell theory to investigate the axisymmetric dynamic response of an orthotropic infinite cylindrical shell which is perfectly bonded to the surrounding homogeneous, isotropic and elastic soil medium and is subjected to radial and/or tangential (inclined) line loads moving along the shell axis. They look into the relative influence of orthotropic shell material parameters on the steady-state shell response when it is placed under different ground conditions (i.e., very hard or rocky, moderately hard, and soft soils).…”

Section: Introductionmentioning

confidence: 99%

Effect of imperfect bonding on axisymmetric elastodynamic response of a lined circular tunnel in poroelastic soil due to a moving ring load

Hasheminejad

Komeili

2009

International Journal of Solids and Structures

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a b s t r a c tA two-dimensional elasticity analysis for steady-state axisymmetric dynamic response of an arbitrarily thick elastic homogeneous hollow cylinder of infinite length, which is imperfectly bonded to the surrounding fluid-saturated permeable formation, subject to an axially moving ring load, is presented. The problem solution is derived by using Biot's dynamic theory of poroelasticity in conjunction with double Fourier transformation with respect to time (frequency) and axial coordinate (axial wave number). The analytical results are illustrated with numerical examples in which a concrete tunnel lining of uniform wall thickness is imperfectly bonded to a surrounding water-saturated poroelastic formation of soft/stiff frame characteristic. Numerical solutions for the radial shell mid-plane and formation displacements are calculated by analytical (numerical) inversion of the Fourier transformation with respect to the frequency (axial wave number). Primary attention is focused on the influence of bonding condition at the liner/soil interface, formation material type, and load velocity on the system's dynamic response. Limiting cases are considered and good agreements with the solutions available in the literature are obtained.

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Section: Introductionmentioning

confidence: 99%

Effect of imperfect bonding on axisymmetric elastodynamic response of a lined circular tunnel in poroelastic soil due to a moving ring load

Hasheminejad

Komeili

2009

International Journal of Solids and Structures

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“…However, in their analysis the cylindrical shells were treated as made of isotropic material, whereas nowadays pipes made of some polymeric materials are replacing the conventional pipes of steel and cast iron. With these discrepancies in mind, Kota and Singh (1991); Singh, Upadhyay, and Kishor (1988); and Singh and Singh (1990) have presented some papers on dynamic response of buried cylindrical shells under radial moving load. In these studies, the main aim was to see the effect of orthotropy parameters and fluid presence on the axisymmetric dynamic response of the cylindrical shell.…”

Section: Introductionmentioning

confidence: 99%

Effect of Fluid Presence on the Nonaxisymmetric Dynamic Response of Buried Orthotropic Cylindrical Shells Under a Moving Load

Singh

Dwivedi

Upadhyay

2000

Journal of Vibration and Control

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This paper deals with the nonaxisymmetric dynamic behavior of fluid-filled buried orthotropic cylindrical shells/pipes subjected to a load moving along the axis of the shell. A thick shell model including the effects of shear deformation and rotary inertia is considered. A perfect bond between the shell and surrounding soil is assumed. The linear acoustic equation is used for the wave propagation in the fluid inside the pipe. Results are presented for the axisymmetric as well as the flexural mode for different orthotropy parameters of the shell and for different soil conditions around the pipe. Results of empty and fluid-filled shells are compared. The presence of fluid inside the shell has small effect on the shell response. However, the deformations in the fluid-filled shell are normally more than those in the empty shell. The difference in the displacements of empty and fluid-filled shells is very small in flexural mode as compared to axisymmetric mode. The effect of fluid presence on the shell response is also influenced by the nature of the surrounding soil. NOMENCLATURE . c -apparent wave speed along the axis of the shell. cl = speed of dilational wave in the medium. C2 = speed of shear wave in the medium. cf -speed of dilational wave in the fluid. d r , d x , d B = components of displacement vector. E, I Ez, Eo = Young's moduli of the shell. <9! Gx= , G~B -shear moduli of the shell. h = thickness of the shell. h = nondimensional thickness of the shell. , kx , ko -shear correction factors. , n = mode shape number in tangential direction. P or (Ð) = intensity of the applied radial line load. , at NATIONAL UNIV SINGAPORE on June 28, 2015 jvc.sagepub.com Downloaded from 824 R = mean radius of the shell. U = nondimensional displacement of the shell middle surface in axial direction. u = displacement of the shell middle surface in axial direction. U, = displacement amplitude of the shell middle surface in axial direction. V = nondimensional displacement of the shell middle surface in tangential direction. v = displacement of the shell middle surface in the tangential ' , direction. Va = displacement amplitude of the shell middle surface in the tangential direction. W = nondimensional displacement of the shell middle surface in radial direction. w = displacement of the shell middle surface in the radial direction. wo = displacement amplitude of the shell middle surface in the radial direction. X = nondimensional moving axial coordinate. , a = scalar displacement potential in the medium. fl = nondimensional wave number of incident wave. ' r¡ 1, r¡2, ~13, q 4 -nondimensional orthotropy parameters of the shell. A = wavelength of the incident wave.

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Effect of the presence of fluid on the dynamic response of buried orthotropic cylindrical shells under a moving load

Kota

Singh

1991

Thin-Walled Structures

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Dynamic response of buried orthotropic cylindrical shells to an inclined axisymmetric moving load

Cited by 4 publications

References 5 publications

Effect of imperfect bonding on axisymmetric elastodynamic response of a lined circular tunnel in poroelastic soil due to a moving ring load

Effect of imperfect bonding on axisymmetric elastodynamic response of a lined circular tunnel in poroelastic soil due to a moving ring load

Effect of Fluid Presence on the Nonaxisymmetric Dynamic Response of Buried Orthotropic Cylindrical Shells Under a Moving Load

Effect of the presence of fluid on the dynamic response of buried orthotropic cylindrical shells under a moving load

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