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Fluid-conveying thin-walled pipe on an elastic foundation

FROM:

Li Li and Yujin Hu (State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China),

“Critical flow velocity of fluid-conveying magneto-electro-elastic pipe resting on an elastic foundation”, International Journal of Mechanical Sciences, Vol. 119, pp 273-282, December 2016, https://doi.org/10.1016/j.ijmecsci.2016.10.030

ABSTRACT: The paper deals with the predicting critical flow velocity of a fluid-conveying magneto-electro-elastic pipe resting on a Winkler-like elastic foundation. Taking into account the Timoshenko beam theory, the constitutive law of magneto-electro-elastic materials and Maxwell's theory, the Hamilton's principle is applied for deducing the governing equations and corresponding boundary conditions of fluid-conveying magneto-electro-elastic pipes resting on the Winkler-like elastic foundation. The closed-form solutions of the critical flow velocity are obtained for fluid-conveying magneto-electro-elastic pipes with clamped-clamped and pinned-pinned ends, and can serve as benchmarks for any future numerical results. The effects of shear deformation, Winkler-like foundation and the magnetic and voltage potentials applied in magneto-electro-elastic pipes on the critical flow velocity are discussed in detail. Results show that the magnetic and voltage potentials have a significant effect on the critical flow velocities and therefore can be used to control the critical flow velocity by choosing some appropriate values of magnetic and electric potentials.

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