The elastic response of functionally graded cylindrical shells to low-velocity impact

Gong, S.W.; Lam, K.Y.; Reddy, J. N.

doi:10.1016/s0734-743x(98)00058-x

Cited by 106 publications

(30 citation statements)

References 4 publications

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“…Loy et al [17] presented Rayleigh}Ritz solutions for free vibration of simply supported FGM cylindrical shells. Gong et al [18] investigated the transient response of FGM cylindrical shells under low-velocity impact. He et al [19] gave "nite element formulations for the shape and vibration control of FGM thin plates with integrated piezoelectric sensors and actuators.…”

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics and Transient Response of Shear-Deformable Functionally Graded Plates in Thermal Environments

Yang

Shen²

2002

Journal of Sound and Vibration

339

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Section: Introductionmentioning

confidence: 99%

Vibration Characteristics and Transient Response of Shear-Deformable Functionally Graded Plates in Thermal Environments

Yang

Shen²

2002

Journal of Sound and Vibration

339

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“…Free vibration and dynamic instability of FGM cylindrical panels under combined static and periodic axial forces were studied by using a proposed semi-analytical approach [5]. Elastic response analysis of simply supported FGM cylindrical shell under low-velocity impact was presented by Gang et al [6]. Vibrations and wave propagation velocity in a functionally graded hollow cylinder were studied by Shakeri et al [7].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional free vibration analysis of four-parameter continuous grading fiber reinforced cylindrical panels resting on Pasternak foundations

Aragh

Yas

2011

Arch Appl Mech

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This research investigates three-dimensional free vibration analysis of four-parameter continuous grading fiber reinforced (CGFR) cylindrical panels resting on Pasternak foundations by using generalized power-law distribution. The functionally graded orthotropic panel is simply supported at the edges, and it is assumed to have an arbitrary variation of matrix volume fraction in the radial direction. A four-parameter power-law distribution presented in literature is proposed. Symmetric and asymmetric volume fraction profiles are presented. Suitable displacement functions that identically satisfy the boundary conditions at the simply supported edges are used to reduce the equilibrium equations to a set of coupled ordinary differential equations with variable coefficients, which are solved by generalized differential quadrature method, and natural frequency is obtained. The fast rate of convergence of the method is demonstrated, and to validate the results, comparisons are made with the available solutions for functionally graded isotropic shells with/without elastic foundations. The effect of the elastic foundation stiffness parameters and various geometrical parameters on the vibration behavior of the CGFR cylindrical panels is investigated. This work mainly contributes to illustrate the influence of the four parameters of power-law distributions on the vibration behavior of functionally graded orthotropic cylindrical panels resting on elastic foundation. This paper is also supposed to present useful results for continuous grading of matrix volume fraction in the thickness direction of a cylindrical panel on elastic foundation and comparison with similar discrete laminated composite cylindrical panel.

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“…This investigation was later extended by Pradhan et al [7] to cylindrical shells under various end supporting conditions. Gong et al [8] presented an elastic response analysis of simply supported FGM cylindrical shells under low-velocity impact. Ng et al [9] studied the dynamic instability of simply supported FGM cylindrical shells by using a normal-mode expansion and the Bolotin method to determine the boundaries of the unstable regions.…”

Section: Introductionmentioning

confidence: 99%

Transverse shear and rotary inertia effects on the stability analysis of functionally graded shells under combined static and periodic axial loadings

Ebrahimi

Sepiani

2010

J Mech Sci Technol

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The effect of transverse shear and rotary inertias on the dynamic stability of functionally graded cylindrical shells subjected to combined static and periodic axial forces is investigated in this paper. Material properties of functionally graded cylindrical shells are considered temperature-dependent and are graded in the thickness direction according to a power-law distribution in terms of the volume fractions of the constituents. Numerical results for silicon nitride-nickel cylindrical shells are presented based on two different methods: the first-order shear deformation theory (FSDT) which considers the transverse shear strains and the rotary inertias, and the classical shell theory (CST). The results obtained show that the effect of transverse shear and rotary inertias on the dynamic stability of functionally graded cylindrical shells subjected to combined static and periodic axial forces is dependent on the shell's material composition, environmental temperature, amplitude of static load, deformation mode, and the shell's geometry parameters.

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The elastic response of functionally graded cylindrical shells to low-velocity impact

Cited by 106 publications

References 4 publications

Vibration Characteristics and Transient Response of Shear-Deformable Functionally Graded Plates in Thermal Environments

Vibration Characteristics and Transient Response of Shear-Deformable Functionally Graded Plates in Thermal Environments

Three-dimensional free vibration analysis of four-parameter continuous grading fiber reinforced cylindrical panels resting on Pasternak foundations

Transverse shear and rotary inertia effects on the stability analysis of functionally graded shells under combined static and periodic axial loadings

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