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首页> 外文期刊>Composite Structures >Three-dimensional free flexural vibrations of fluid-filled functionally graded circular cylindrical shell with curvilinear radius variation
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Three-dimensional free flexural vibrations of fluid-filled functionally graded circular cylindrical shell with curvilinear radius variation

机译：具有曲线半径变化的流体填充功能渐进圆柱形壳的三维自由弯曲振动

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摘要

The three-dimensional free flexural vibrations of functionally graded circular cylindrical shell with curvilinear radius variation fully or partially filled with incompressible and inviscid fluid are investigated for the first time using a coupled axisymmetric solid-fluid hierarchical finite element method based on curved elements. Curved edges are described exactly by means of blending functions. The method is used in conjunction with the threedimensional elasticity theory and Laplace's equation to obtain the governing equations. The material properties follow the power law distribution in the thickness direction. The effectiveness of the method is illustrated using examples of clamped-free and clamped-guided functionally graded circular cylindrical shells with quadratic and cubic radius variations. The method is validated through convergence test and comparison study. New results for the cycle frequencies of the lowest two flexural modes are presented, which may serve as benchmarks for future studies. Moreover, the effects of several geometrical and mechanical parameters on the cycle frequencies, modal deflections, and modal hydrodynamic pressures are explored.
机译：使用基于弯曲元件的耦合轴对称的固体流体分层有限元方法，首次研究功能上渐变圆柱形壳的三维自由弯曲振动，其具有完全或部分填充有不可压缩和抗体流体的曲线半径变化。通过混合功能来完全描述弯曲边缘。该方法与三维弹性理论和拉普拉斯等级结合使用，以获得控制方程。材料特性沿着厚度方向的电力法分布遵循。使用具有二次和立方半径变化的自由夹紧和夹紧的导向的功能渐变圆柱形壳体的示例来说明该方法的有效性。该方法通过收敛试验和比较研究进行验证。提出了最低两种弯曲模式的循环频率的新结果，这可以作为未来研究的基准。此外，探讨了几种几何和机械参数对循环频率，模态偏转和模态流体动力学压力的影响。

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