Transient response of a thin cylinder with local material inhomogeneity

El‐Raheb, Michael

doi:10.1016/j.ijsolstr.2005.04.041

Cited by 2 publications

(1 citation statement)

References 21 publications

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“…h is circumferential coordinate, (R, h) are ring mean radius and thickness, (q, E, m) are mass density, modulus and Poisson ratio, t is time, p w (h;t) is the externally applied pressure, j is Mindlin's shear constant (Mindlin, 1951), v is shear deformation factor derived in El-Raheb (2005), and p f is acoustic pressure of the internal fluid. The constitutive relations are…”

Section: Thin Ring Modelmentioning

confidence: 99%

Transient waves in a thin sphere enclosing an acoustic medium from a moving planar pressure discontinuity

El‐Raheb¹

2007

International Journal of Solids and Structures

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Three models are adopted to analyze transient waves in a spherical shell enclosing an acoustic medium from a moving planar pressure discontinuity. The first model is a plane-strain thin ring. The second model is a spherical shell, and the third model is a plane-strain thick ring that modifies the thin ring model to include reflections across the thickness. All models agree that extensional motions of the shell control internal acoustic pressure of the fluid, and that flexural motions modulate average response by a small amplitude high frequency oscillation. The spherical shell model yields a temporary negative pressure opposite to the striking point and a persistent sharp drop in pressure close to the center. Magnitude of transient pressure depends on the separation between the coupled structural resonance and the internal acoustic resonance with pressure release at the boundary.

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Section: Thin Ring Modelmentioning

confidence: 99%

Transient waves in a thin sphere enclosing an acoustic medium from a moving planar pressure discontinuity

El‐Raheb¹

2007

International Journal of Solids and Structures

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Response of a thin cylindrical panel with constrained edges

El‐Raheb¹

2006

International Journal of Solids and Structures

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Static and transient responses of a thin cylindrical panel constrained from motion along its straight edges and simply supported along its curved edges are treated analytically. Independent of modulus, and for a range of geometric parameters, static deformation along the panel's circumference from a uniform radial pressure exhibits an indentation. This indentation does not appear in transient response of the panel from an impulse of short duration. Extensional boundary constraints strongly affect peak stress in static and transient response.Static response, buckling and frequency response of curved panels were treated extensively in the literature. Skvortsov et al. (1998) analyzed static response of a cylindrical panel adopting general shell, shallow shell and curved plate theories, as well as a nonlinear model with arbitrary generator shape. Skvortsov et al. (2000) treated static response and stability of an arbitrary singly curved sandwich panel with general boundary conditions based on the Reissner-Mindlin plate theory. Blevins (1981) adopted Sewall's approximate shallow shell formulation to consider a wide range of boundary conditions. Approximate solutions to free vibration, buckling and transient response of the panel were obtained by Sheinman and Reichman (1992) using the reduced bending stiffness method, and by Chun and Lam (1995) employing the Ritz method with the beam's eigenfunctions or simple admissible polynomials as trial functions. DeRosa and Franciosi (2000) adopted the differential quadrature method to determine the inextensional resonances of thin arcs. All analyses above are based on approximate solutions along the circumferential direction.Dynamic response of curved panels from a pulse of duration much longer than the panel's fundamental period has been the subject of recent investigations. Among these, Johnson et al. (1984) treated the response of an infinite panel or arc to an eccentric line load. Ramkumar and Thakar (1985) extended the analysis to laminated panels with finite length along the generator and neglected inplane and rotary inertias and shear deformation confining their analysis to quasi-static conditions. The effect of panel geometric imperfection on 0020-7683/$ -see front matter Ó

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Transient response of a thin cylinder with local material inhomogeneity

Cited by 2 publications

References 21 publications

Transient waves in a thin sphere enclosing an acoustic medium from a moving planar pressure discontinuity

Transient waves in a thin sphere enclosing an acoustic medium from a moving planar pressure discontinuity

Response of a thin cylindrical panel with constrained edges

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