Whirling frequencies of thin spinning cylindrical shells surrounded by an elastic foundation

Firouz-Abadi, R. D.; Torkaman-Asadi, M. A.; Rahmanian, Mohammad

doi:10.1007/s00707-012-0802-1

Cited by 9 publications

(2 citation statements)

References 20 publications

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“…1 Shell partially surrounded by the elastic foundation Meccanica shells using the power series method. Moreover, Firouz-Abadi et al [27] implemented this method to study the whirling frequencies of thin spinning cylindrical shells resting on Winkler foundation.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of cylindrical shells partially resting on an elastic foundation

Torkaman-Asadi

Firouz-Abadi

2015

Meccanica

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The present study aims at the investigation of free vibration analysis of thin cylindrical shells surrounded by an elastic medium, which is distributed over a particular length of the shell. The Love's shell theory is utilized along with the Winkler foundation to obtain the governing equations of motion. An exact series expansion method of solution is employed for any arbitrary boundary conditions. The excellent accuracy of the obtained results is validated by comparing to the available literature. Moreover, several case studies are performed to provide an insight into the influence of some practically important parameters on free vibrations of circular cylindrical shells, including stiffness and length of the partial foundation. Finally, it is concluded that the proposed method can accurately determine the exact solution to the free vibration of shells partially surrounded by elastic foundations with any boundary conditions.

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Section: Introductionmentioning

confidence: 99%

Free vibration analysis of cylindrical shells partially resting on an elastic foundation

Torkaman-Asadi

Firouz-Abadi

2015

Meccanica

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“…Najafov et al (2013) studied the torsional vibration and stability of functionally graded orthotropic cylindrical shells on Winkler-Pasternak type elastic foundations. Firouz-Abadi et al (2013) presented whirling frequencies of thin spinning cylindrical shells resting on the Winkler elastic foundation. Shen and Wang (2013) presented thermal buckling and postbuckling behavior for fiber reinforced composite laminated cylindrical shells embedded in a large outer elastic medium and subjected to a uniform temperature rise.…”

Section: Introductionmentioning

confidence: 99%

Stability of EG cylindrical shells with shear stresses on a Pasternak foundation

Najafov

Sofiyev²,

Hui³

et al. 2014

Steel Compos. Struct.

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This article is the result of an investigation on the influence of a Pasternak elastic foundation on the stability of exponentially graded (EG) cylindrical shells under hydrostatic pressure, based on the first-order shear deformation theory (FOSDT) considering the shear stresses. The shear stresses shape function is distributed parabolic manner through the shell thickness. The governing equations of EG orthotropic cylindrical shells resting on the Pasternak elastic foundation on the basis of FOSDT are derived in the framework of Donnell-type shell theory. The novelty of present work is to achieve closed-form solutions for critical hydrostatic pressures of EG orthotropic cylindrical shells resting on Pasternak elastic foundation based on FOSDT. The expressions for critical hydrostatic pressures of EG orthotropic cylindrical shells with and without an elastic foundation based on CST are obtained, in special cases. Finally, the effects of Pasternak foundation, shear stresses, orthotropy and heterogeneity on critical hydrostatic pressures, based on FOSDT are investigated.

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Critical rotational speed, critical velocity of fluid flow and free vibration analysis of a spinning SWCNT conveying viscous fluid

Safarpour

Ghadiri

2017

Microfluid Nanofluid

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Whirling frequencies of thin spinning cylindrical shells surrounded by an elastic foundation

Cited by 9 publications

References 20 publications

Free vibration analysis of cylindrical shells partially resting on an elastic foundation

Free vibration analysis of cylindrical shells partially resting on an elastic foundation

Stability of EG cylindrical shells with shear stresses on a Pasternak foundation

Critical rotational speed, critical velocity of fluid flow and free vibration analysis of a spinning SWCNT conveying viscous fluid

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