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THEORETICAL ANALYSIS OF FREE VIBRATIONS BASED ON ANEW HIGH ORDER SHELL THEORY FOR CYLINDRICAL SHELLS CONVEYING FLUID

机译:基于新高阶壳理论的圆柱壳输送流体自由振动的理论分析

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The natural frequencies of free vibrations for thick cylindrical shells with clamped-clamped ends conveying fluid are investigated. Equations of motion and boundary conditions are derived by Hamilton's principle based on the new high order shell theory. The hydrodynamic force is derived from the linearized potential flow theory. Besides, fluid pressure acting on the shell wall is gotten by the assumption of non-penetration condition. The out-of-plane and in-plane vibrations are coupled together due to the existence of fluid-solid-interaction (FSI). Under the assumption of harmonic motion, the dispersion relationships are presented. Using the method of frequency sweeping, the natural frequencies of symmetric modes and asymmetric modes corresponding to each flow velocity are found by satisfying the dispersion relationship equations and boundary conditions. Several numerical examples with different flow velocities and thickness are presented compared with previous thin shell theory and FEM results and show reasonable agreement. The effects of thickness are discussed.
机译:研究了带有端部夹紧流体的厚圆柱壳的自由振动的固有频率。基于新的高阶壳理论,通过汉密尔顿原理导出了运动和边界条件方程。流体动力来自线性化的势流理论。此外,通过不渗透条件的假设得到作用在壳壁上的流体压力。平面外和平面内的振动由于流体-固体相互作用(FSI)的存在而耦合在一起。在谐波运动的假设下,给出了色散关系。利用扫频的方法,通过满足色散关系方程和边界条件,求出与每种流速相对应的对称模态和非对称模态的固有频率。与以前的薄壳理论和有限元结果相比,给出了几个具有不同流速和厚度的数值例子,并显示出合理的一致性。讨论了厚度的影响。

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