Critical flow velocity of fluid-conveying magneto-electro-elastic pipe resting on an elastic foundation

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• 作者：Li Li ; ^{lili_em@hust.edu.cn} ; Yujin Hu
• 关键词：Fluid-conveying pipe ; Critical flow velocity ; Winkler constant ; Magneto-electro-elastic material ; Flow-induced vibration
• 刊名：International Journal of Mechanical Sciences
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：119
• 期：Complete
• 页码：273-282
• 全文大小：823 K
• 卷排序：119

文摘

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.