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Hybrid finite element method in supersonic flutter analysis of circular cylindrical shells

机译:圆柱形壳体超音速颤动分析中的混合有限元方法

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This study is focused on the aeroelastic behaviour of circular cylindrical shells in a supersonic airflow. The development is based on a combination of Sanders' thin shell theory and the classical finite element method. Potential and piston theory with and without the correction factor for shell curvature is applied to derive the aerodynamic damping and stiffness matrices. The influence of stress stiffness due to the shell internal pressure and axial loading is also taken into account. Aeroelastic equations in hybrid finite formulation are derived and solved numerically. The effect of shell boundary conditions; geometry and flow parameters on the structure response is investigated. In all study cases, the shell loses its stability by coupled-mode flutter where a travelling wave is observed during this dynamic instability. The results are compared with existing experimental data, other analytical and finite element solutions. The present study shows efficient and reliable results that can be applied for the aeroelastic design of shell structures used for aerospace vehicles.
机译:该研究专注于超声波气流中圆柱形壳的空气弹性行为。该开发基于桑德薄壳理论的组合和古典有限元方法。施加与壳曲率的校正因子的潜在和活塞理论被应用于导出空气动力学阻尼和刚度矩阵。还考虑了壳内压和轴向载荷引起的应力刚度的影响。杂交有限配方中的空气弹性方程数在数值上衍生和解决。壳边界条件的影响;研究了结构响应的几何和流量参数。在所有研究案例中,壳体通过耦合模式颤动失去其稳定性,即在该动态稳定性期间观察到行驶波。将结果与现有的实验数据,其他分析和有限元解决方案进行比较。本研究显示了有效可靠的结果,可以应用于用于航空航天车辆的壳体结构的气动弹性设计。

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