Vibration of prestressed thin cylindrical shells conveying fluid

Zhang, Yong Liang; Gorman, D.G.; Reese, Jason M.

doi:10.1016/s0263-8231(03)00108-3

Cited by 53 publications

(28 citation statements)

References 17 publications

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“…(18). Therefore, we obtain the following velocity potential satisfying the boundary conditions of Eqs.…”

Section: Formulationmentioning

confidence: 99%

“…The nonlinear vibration of prestressed circular cylindrical shells placed on the Pasternak foundation, which is partially distributed in the circumferential direction, was investigated by BakhtiariNejad and Bideleh [15]. Generally, the cylindrical shell contains or conveys fluid [2,4,[16][17][18][19][20]. This structure can be subjected to various external dynamic loads such as, for example, earthquakes, nuclear and other explosions, and wave loadings.…”

Section: Introductionmentioning

confidence: 99%

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Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Kim

2015

Acta Mech. Sin.

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The free vibration characteristics of fluid-filled functionally graded cylindrical shells buried partially in elastic foundations are investigated by an analytical method. The elastic foundation of partial axial and angular dimensions is represented by the Pasternak model. The motion of the shells is represented by the first-order shear deformation theory to account for rotary inertia and transverse shear strains. The functionally graded cylindrical shells are composed of stainless steel and silicon nitride. Material properties vary continuously through the thickness according to a power law distribution in terms of the volume fraction of the constituents. The governing equation is obtained using the Rayleigh-Ritz method and a variation approach. The fluid is described by the classical potential flow theory. Numerical examples are presented and compared with existing available results to validate the present method.

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“…(18). Therefore, we obtain the following velocity potential satisfying the boundary conditions of Eqs.…”

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Kim

2015

Acta Mech. Sin.

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“…9 The effect of variation in flow velocities and hydrostatic pressures on the dynamic behavior of fluid-conveying shells, as well as that of support conditions on free vibration, were further studied; a 3D method for prestress distribution was also established. 10,11 Simultaneous effects of a prestress condition, including its linear and nonlinear parts and the elastic foundation on natural frequencies of shells under various boundary conditions, were extensively examined. 12 The structure dynamic response of cylindrical shells subjected to harmonic excitation at low natural frequencies was discussed by comparing five different nonlinear cylindrical shell theories.…”

Section: Introductionmentioning

confidence: 99%

Acoustic Characteristic Analysis of Prestressed Cylindrical Shells in Local Areas

Chen¹,

Liu²

2016

IJAV

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The influence of prestress on dynamic responses and acoustic radiation for thin cylindrical shells is analyzed in this study. The strain-displacement equation of cylindrical shells with prestress in local areas is established based on the Flügge theory. The structural-acoustic radiation formulation for prestressed cylindrical shells in local areas is instituted by using the variational principle. A numerical analysis is then carried out. The numerical results are validated by comparing the influence of prestress on acoustic radiation power and directivity. This study shows that prestress significantly affects the dynamic characteristics of cylindrical shells.

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“…Several simplified theoretical investigations were also conducted and a few of these studies have been used as a basis for current design standards. In [5][6][7][8][9] authors offer the approach based on using the boundary element method to the problem of natural vibrations of the fluid-filled elastic shells of revolution, as well as to the problem of natural liquid vibrations in the rigid vessels. This approach has the certain advantages.…”

Section: Introductionmentioning

confidence: 99%

Forced vibrations of tanks partially filled with liquid under seismic load

Gnitko

Marchenko

Naumenko

et al. 2011

Boundary Elements and Other Mesh Reduction Methods XXXIII

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Cylindrical tanks partially filled with liquid are the most general type of reservoirs for oil and other chemical-dangerous agent storage. Destruction of such tanks under seismic or impulsive load can lead to negative ecological consequences. The analysis method of dynamic behavior of cylindrical tanks partially filled with liquid that are under short-time impulsive load is under consideration. The method relies on reducing the problem of determining the fluid pressure to the system of singular integral equations. The coupled problem is solved using combination BEM and FEM. Differential equations of transient problem are solved numerically by Runge-Kutta method of 4th and 5th order. Numerical investigations of forced vibrations of the cylindrical tank filled with the incompressible fluid under seismic load have been carried out.

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Vibration of prestressed thin cylindrical shells conveying fluid

Cited by 53 publications

References 17 publications

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Acoustic Characteristic Analysis of Prestressed Cylindrical Shells in Local Areas

Forced vibrations of tanks partially filled with liquid under seismic load

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