Free vibrations of circular cylindrical shell on Winkler and Pasternak foundations

Paliwal, D.N.; Pandey, Rajesh K.; Nath, Triloki

doi:10.1016/0308-0161(95)00010-0

Cited by 120 publications

(57 citation statements)

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“…The buckling loads of single-layer orthotropic and [17] for the free vibration analysis of homogenous isotropic cylindrical shells resting on a Winkler foundation. The comparison is shown in Table 2.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Despite the evident importance of practical applications cylindrical shells, the investigations on vibration and stability of homogeneous and FGM shells on elastic foundations are limited in the literature [16][17][18][19][20][21][22][23]. The stability problem of composite cylindrical shells that composed of ceramic-FGM-metal layers embedded in an elastic medium, subjected to an axial compressive load have not been studied yet.…”

Section: Introductionmentioning

confidence: 99%

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The Stability of Cylindrical Shells Containing an FGM Layer Subjected to Axial Load on the Pasternak Foundation

Sofiyev¹,

Avcar²

2010

ENG

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In this study, the stability of cylindrical shells that composed of ceramic, FGM, and metal layers subjected to axial load and resting on Winkler-Pasternak foundations is investigated. Material properties of FGM layer are varied continuously in thickness direction according to a simple power distribution in terms of the ceramic and metal volume fractions. The modified Donnell type stability and compatibility equations on the Pasternak foundation are obtained. Applying Galerkin's method analytic solutions are obtained for the critical axial load of three-layered cylindrical shells containing an FGM layer with and without elastic foundation. The detailed parametric studies are carried out to study the influences of thickness variations of the FGM layer, radius-to-thickness ratio, material composition and material profile index, Winkler and Pasternak foundations on the critical axial load of three-layered cylindrical shells. Comparing results with those in the literature validates the present analysis.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Stability of Cylindrical Shells Containing an FGM Layer Subjected to Axial Load on the Pasternak Foundation

Sofiyev¹,

Avcar²

2010

ENG

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“…The discretized forms of the boundary conditions on the inner and outer surfaces of the cylindrical panel, shown in Eqs. (12)(13), can be expressed as follows.…”

Section: Gdq Solution Of Governing Equationsmentioning

confidence: 99%

“…In addition to the applications in many civil engineering structures, the recent developments related to solid propellant rocket motor, the interest for developing further efficient thermal protection systems for space transportation vehicles as well as many other high-technological applications have intensified the need for a better understanding of the behavior of plates and shells continuously supported by elastic media. Paliwal et al [12,13] have investigated the free vibration of whole buried cylindrical shells with simply supported ends in contact with Winkler and Pasternak foundations using direct solution to the governing classical shell theory equations of motion. Yang et al [14] have investigated the behavior of whole buried pipelines subjected to sinusoidal seismic waves by the finite element method.…”

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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“…In the wave propagation method, the axial modal dependence is approximated by simple wave number characteristic formulas. Paliwal et al [26] and Paliwal and Pandey [27] have studied the free vibrations of circular cylindrical shells resting on elastic foundations. In the present study, the vibration characteristics of fluidfilled cylindrical shells fabricated from functionally graded materials resting on the elastic foundations are investigated.…”

Section: Introductionmentioning

confidence: 99%

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

Shah

Mahmood

Arshad

2011

ISRN Mechanical Engineering

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Vibrational characteristics of functionally graded cylindrical shells filled with fluid and placed on Winkler and Pasternak elastic foundations are investigated. Love's thin-shell theory is utilized for strain-displacement and curvature-displacement relationships. Shell dynamical equations are solved by using wave propagation approach. Natural frequencies for both empty and fluid-filled functionally graded cylindrical shells based on elastic foundations are determined for simply-supported boundary condition and compared to validate the present technique. Results obtained are in good agreement with the previous studies. It is seen that the frequencies of the cylindrical shells are affected much when the shells are filled with fluid, placed on elastic foundations, and structured with functionally graded materials. The influence of Pasternak foundation is more pronounced than that of Winkler modulus.

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Free vibrations of circular cylindrical shell on Winkler and Pasternak foundations

Cited by 120 publications

References 1 publication

The Stability of Cylindrical Shells Containing an FGM Layer Subjected to Axial Load on the Pasternak Foundation

The Stability of Cylindrical Shells Containing an FGM Layer Subjected to Axial Load on the Pasternak Foundation

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

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

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