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

Whirling frequencies of thin spinning cylindrical shells surrounded by an elastic foundation. (English) Zbl 1401.74120

Acta Mech. 224, No. 4, 881-892 (2013).
Summary: In this paper, the whirling frequencies of simply supported and clamped rotating cylindrical shells surrounded by an elastic foundation are investigated. The Love’s shell theory is used along with the Winkler foundation to obtain the governing equations of motion. An exact power series solution is obtained for arbitrary boundary conditions and the results are verified with the literature. Several case studies are performed, and the effect of spinning speed, foundation stiffness, and geometrical dimensions of the cylinder on the whirling frequencies are investigated.

Cited in 2 Documents

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74K25 Shells
74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
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References:

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